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  • Course data
    Introduction
    Course Registration
    Peer Corner
    Pre-Test
    Module 1: Lesson 1: Research, The Scientific Method, and the Role of Statistics in the Health Care Field
    Fundamentals of The Scientific Approach
    What is Ethics in Research and Why is it Important?
    Discussion Forum 1
    Module 1: Lesson 2: Data, Variables, Populations, Samples, and Measurement 
    Data and Variables
    Definitions, Uses, Data Types, and Levels of Measurement
    1.2 Samples & Populations
    Levels of Measurement
    Notes on Measurement Error
    Practices of Science: Precision vs. Accuracy
    Reliability and Validity of Measurement
    Module 1: Lesson 3: Research Design and Data Collection
    Data Sources
    Data Collection Methods
    Variables in Research
    Generating Good Research Questions
    Module 1: Lesson 4: Randomization and Sampling
    Elements of Research
    Elements of Research
    Chapter 7: Sampling Techniques
    Practical Activity 1
    Quiz: Module1: Lessons 3 & 4
    Quiz: Module 1
    Module 2: Lesson 1: Displaying Univariate Data
    Graphing Qualititative Variables
    Graphing Qualititative Variables - Graphic Distribution (Video)
    Dot Plots
    Stem and Leaf Displays
    Graphing Distributions - Stem and Leaf Displays (Video)
    Histograms
    Graphing Distributions - Histograms (Video)
    Creating a Frequency Table and its Graphs
    Module 2: Lesson 2: Displaying Bivariate Data
    Scatter Plot
    Line Graphs
    Graphing Distributions - Line Graphs (Video)
    Run charts
    Graphing of Bivariate Data 1
    Module 2: Lesson 3: Communicating and Interpreting the Results of Graphical Statistical Analysis
    Comunicating Clearly with Graphs and Charts
    How to Interpret Scientific and Statistical Graphs
    Discussion Forum 2
    Module 3: Lesson 1: Measures of Central Tendency
    What is Central Tendency?
    Summarizing Distributions - What is Central Tendency (Video)
    Measures of Central Tendency
    Measures of Central Tendency (Video)
    Mean vs. Median: What do they mean and when do you use them?
    Module 3: Lesson 2: Measures of Dispersion
    Measures of Variability
    Graphing Distributions - Measures of Variability (Video)
    Variance Demonstration
    Module 3: Lesson 3: Measures of Position
    1.5.2 - Measures of Position
    Z-scores: Location of scores and standardized distributions
    Normalizing Data
    Module 3: Lesson 4: Using Boxplots to Summarize Datasets
    Box Plots
    Graphing Distributions - Box Plots (Video)
    Adjusted Box Plots, Grouped Mean and Variance (Video)
    Practical Activity 2
    Module 3: Lesson 5: Extra Topics on Describing Data
    Basic terminology
    Measures of Shape: Skewness and Kurtosis
    2.7: Skewness and the Mean, Median, and Mode
    Misleading Graphs and Statistics
    Bivariate Data 2 (Video)
    Control Chart
    Discussion Forum 3
    Quiz: Module 3
    Module 4: Lesson 1: Counting Rules
    The Fundamental Counting Principle
    Module 4: Lesson 2: Probability Basics
    Probability
    Basic Probability Rules
    Conditional Probability and Independence
    Conditional Probability and Independence (Video)
    General Multiplication Rule
    Bayes’ Rule for Clinicians: An Introduction
    Evaluating Screening Tests
    Probabilities with Contingency Tables
    Practical Activity 3
    Module 4: Lesson 3: Random Variables
    Random Variables
    Anatomy of a Random Variable
    Module 4: Lesson 4: Discrete Random Variables and Discrete Distributions of Random Variables
    Discrete Random Variables
    Binomial Random Variables
    The Poisson Distribution
    Finding Poisson Probabilities
    Module 4: Lesson 5: Continuous Random Variables and the Normal Distribution
    Continuous Random Variables
    Normal Random Variables
    The Sandard Normal Distribution
    Discussion Forum 4
    Module 5: Lesson 1: Sampling Variablilty
    Sample Variablility and Sampling Distributions
    Module 5: Lesson 2: Sampling Distributions
    Introduction to sampling distributions
    Module 5: Lesson 3: The Central Limit Theorem
    The Central Limit Theorem
    Sampling Distribution of the Sample Mean, x-bar
    Practical Activity 4
    Module 6: Lesson 1: Estimation
    Confidence Intervals Introduction
    Module 6: Lesson 2: Confidence Intervals on Single Means and Proportions
    Confidence Interval on the Mean
    Proportion
    Practical Activity 5
    Module 6: Lesson 3: Confidence Intervals on Differences of Two Means and Proportions
    Confidence Interval for Two Independent Samples, Continuous Outcome
    Confidence Interval for Two Independent Samples, Dichotomous Outcome
    Module 7: Lesson 1: The Basics of Hypothesis Testing
    Introduction: The Logic of Hypothesis Testing
    The Logic of Hypothesis Testing - Introduction (Video)
    The Elements of Hypothesis Testing
    Significance Testing
    The Logic of Hypothesis Testing: Significance Testing (Video)
    Type I and Type II Errors
    The Logic of Hypothesis Testing: Type I and Type II Errors (Video)
    One- and Two-Tailed Tests
    The Logic of Hypothesis Testing: One- and Two-Tailed Tests (Video)
    Module 7: Lesson 2: Hypothesis Testing of the Population Mean and Proportion
    8.2: Large Sample Tests for a Population Mean
    8.4: Small Sample Tests for a Population Mean
    8.5: Large Sample Tests for a Population Proportion
    Module 7: Lesson 3: Testing Two Samples
    9.1: Comparison of Two Population Means- Large, Independent Samples
    9.3: Comparison of Two Population Means - Paired Samples
    9.4: Comparison of Two Population Proportions
    Module 7: Lesson 4: Testing with Categorical Variables
    The Chi-Square Distribution
    The Chi-Square Distribution (Video)
    The Chi-Square Test for Independence
    11.3.1 - Example: Gender and Online Learning
    The Chi-Square Test for Independence (Video)
    11.2 - Goodness of Fit Test
    11.2.1 - Five Step Hypothesis Testing Procedure
    11.2.1.1 - Video: Cupcakes (Equal Proportions)
    11.2.1.2- Cards (Equal Proportions)
    Practical Activity 6
    Quiz: Module 7: Lessons 3 & 4
    Module 8: Lesson 1: Linear Correlation
    Correlation and causation
    Scatterplots and Correlation
    Correlation and Simple linear Regession
    What is the difference between coefficient of determination, and coefficient of correlation?
    12.5: Testing the Significance of the Correlation Coefficient
    Discussion Forum 5
    Module 8: Lesson 2: The Basics of Linear Regression
    Introduction to Linear Regression
    Intro to Regression (Video)
    What is Simple Linear Regression?
    Applied Regression Analysis - Lesson 9.1: The Distinction Between Outliers and High Leverge Observations
    Final Exam
    Course and Self Evaluation & Certificate
    Course Activities
    Practical Activities.
    Discussion Forums
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        Welcome to Intro to Statistics, the second course in the Mathematics series for the Health Sciences Training Certificate. This course and the Certificate are designed primarily for learners interested in preparing for and gaining entry to health-related programs and to help address the prerequisites for the Medical College Admission Test (MCAT). This Intro to Statistics course provides in-depth learning about general mathematical concepts and techniques in the natural, physical, behavioral, and social sciences bachelor study. Participants can review and gain mathematical knowledge on analyzing and manipulating scientific data. The course explores important areas of mathematics such as statistics, graphic and numerical methods of describing data, probability, distributions, estimation, testing hypotheses, and regression analysis that can be applied to scientific inquiry.

        The International Development Research Centre and the University of the Incarnate Word School of Osteopathic Medicine partly sponsor the Intro to Statistics course

        . Like all NextGenU.org courses, it is competency-based, using competencies based on the Association of American Medical Colleges' Medical College Admission Test. It uses learning resources from accredited, academic, professional, and world-class organizations and universities such as Rice University. Volunteer designers for this course include Shaunik Sharma, BSc; Tristan Aaron Wild, BMSc (Hons); and the late Mohammad Asadi-Lari, a former MD-PHD Candidate at the University of Toronto. The course was created by Marco Aurelio Hernandez, Ph. D., Alexandria Ali, BSc, and Pablo Baldiviezo, MD. MSc. DiplEd.

        For publications on the efficacy of NextGenU.org's courses, see NextGenU.org's publication page.


        52


        There are eight modules to complete, which provide an introduction to:

        • Module 1: Introduction to Statistics and Research in Health Care.
        • Module 2: Graphical Methods of Describing Data.
        • Module 3: Numerical Methods of Describing Data: Summary Numbers.
        • Module 4: Probability, Random Variables,  and Distributions.
        • Module 5: Sampling Distributions.
        • Module 6: Estimation.
        • Module 7: Testing of Hypotheses.
        • Module 8: Introduction to Linear Regression Analysis.

        The completion time for this course is estimated at 92 hours, 24 comprising hours of learning resources, 48 hours of studying and assimilation of the content, and 20 hours of participating in learning activities and quizzes to assist the learners in synthesizing learning materials. This course is equivalent to 3 credit hours in the U.S. undergraduate/bachelor's degree system.

        The course requires the completion of all quizzes, discussion forums, and practical activities to receive a course certificate.  

        Practice quizzes, composed of multiple-choice questions, are available throughout the courses. After you've completed each module, quiz, and learning activity, at the end of the course, you'll have access to a final exam consisting of 25 multiple-choice questions, a last lab activity, and a chance to evaluate this course. 

        Participants have up to three opportunities to take the final exam and achieve the required passing score of >=70%. Once you've passed the final exam and completed the evaluations, you can download a certificate of completion from NextGenU.org and our course's co-sponsoring organizations. 

        We keep your personal information confidential, never sell any of your information, and only use anonymized data for research purposes. Also, we are happy to report your testing information and share your work with anyone (your school, employer, etc.) at your request. 

        Engaging with this Course:

        This free course is aimed at students who have graduated from high school and want to prepare to become a health professional and pass the MCAT exam. You can also browse this course for personal enrichment if you don't have any requirements.   

        To obtain a certificate, a learner must first register for the course and then complete:

        • Pre-test
        • All the reading requirements,
        • All quizzes and pass with 80% with unlimited attempts,
        • All practical activities,
        • All discussion forums,
        • The final lab activity,
        • The final exam with a minimum of 80% and a maximum of 3 attempts, and
        • The self and course evaluation forms.

        To obtain credit:

        • Complete all requirements listed above for the Certificate, and
        • Your learning institution or workplace should approve the partner-university-sponsored NextGenU.org course for educational credit, as they usually would for their learner taking a course anywhere. 

        NextGenU.org is happy to provide your institution with:

        • A link to and description of the course training so that they can see all of its components, including the co-sponsoring institutions;
        • Your grade on the final exam;
        • Your work products (e.g., discussion forum responses) and any other required or optional shared materials that you produce and authorize to share with them;  
        • Your evaluations -- course and self-assessments;
        • A copy of your Certificate of completion with the co-sponsoring organizations listed.

        To obtain a degree, NextGenU.org co-sponsors degree programs with institutional partners. To get a whole degree co-sponsored with NextGenU.org, registrants must be enrolled in a degree program as a student of a NextGenU.org institutional partner. If your institution might be interested in offering a degree with NextGenU.org, contact us.

        We hope you will find this a rewarding learning experience, and we count on your assessment and feedback to help us improve this training for future students.

        Here are the following steps to take the course and earn a certificate:

        • Complete the registration form.
        • Take the pre-test.
        • Begin the course with Module 1:Introduction to Statistics and Research in Health Care. In each lesson, read the description, complete all required readings and any required activity, and take the corresponding quizzes.

      • Module 1: Introduction to Statistics and Research in Health Care

        Competency covered in this module: 

        • MCAT: Identify the Role of theory, past findings, and observations in scientific questioning.
        • MCAT: Reason about ethical issues in scientific research.
        • Miami-Dade: Demonstrate an understanding of descriptive statistics by contrasting between the levels of data.
        • MCAT: Distinguish between samples and populations.
        • Miami-Dade: Demonstrate an understanding of descriptive statistics by contrasting between the levels of data.
        • MCAT: Reason about random and systematic error.
        • MCAT: Reason about the appropriateness, precision, and accuracy of tools used to conduct research in the natural sciences.
        • MCAT: Reason about the appropriateness, reliability, and validity of tools used to conduct research.
        • Miami-Dade: Demonstrate an understanding of descriptive statistics by: designing and formulating sources of decision-making data.
        • MCAT: Identify the relationships among the variables in a study (e.g., independent versus dependent variables; control and confounding variables)
        • MCAT: Identify testable research questions and hypotheses.
        • MCAT: Reason about the features of research studies that suggest associations between variables or causal relationships between them (e.g., temporality, random assignment)
        • Miami-Dade: Demonstrate an understanding of descriptive statistics by: designing and formulating sources of decision-making data.
      • Module 1: Lesson 1: Research, The Scientific Method, and the Role of Statistics in the Health Care Field

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the role of theory, past findings and observations in scientific research.
        • Discuss the steps of the scientific method as necessary for scientific research.
        • Discuss the role and Identify instances of statistics being used in our daily lives and the in world around us.
        • Explain the important role of ethics in research.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 36 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Fundamentals of The Scientific Approach URL
          Students must
          View

          Read from Pages 3-6: Defining Science to Pages 3-18: Common Sense and Science. (30 minutes)

          University of Central Arkansas - 2013

        • url icon
          What is Ethics in Research and Why is it Important? URL
          Students must
          View

          Read the entire page. (22 minutes)

          US Government; National Institute of Environmental Health Sciences - 2021

        • forum icon
          Discussion Forum 1
          Students must
          View
          Start discussions: 1

          In this activity, you will discuss the issue of the indispensable use of statistics, despite it being an imperfect science and measure. 

          Step 1. Review

          Review the learning resources for this lesson before answering the question.

          Step 2. Analyze

          Analyze and discuss the question below.

          52

          Step 3. Respond

          Respond to the case problem by writing a 300-500-word discussion post with the following inclusions.

          Step 4. Share

          To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


      • Module 1: Lesson 2: Data, Variables, Populations, Samples, and Measurement 

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Given a research situation, identify and classify the variables and data generated.
        • Identify populations, samples, and frames in given statistical studies.
        • Classify given measurements according to levels.
        • Distinguish between the two categories of measurement error.
        • Distinguish between accuracy and precision in measurements.
        • Determine the level of accuracy and precision of measurements.
        • Explain Validity and Reliability and their importance in research.
        • Identify situations of reliability and validity in given measurement.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 10 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Data and Variables URL
          Students must
          View

          Watch the entire video. (18 minutes)

          2023

        • url icon
          Definitions, Uses, Data Types, and Levels of Measurement URL
          Students must
          View

          Click on and Read the "Types of Data" section. (10 minutes)

          Andrews College - 2019

        • url icon
          1.2 Samples & Populations URL
          Students must
          View

          Read entire page. (2 minutes)

          Penn State Eberly College of Science - 2022

        • url icon
          Levels of Measurement URL
          Students must
          View

          Read the Entire Page: Levels of Measurement, and try the set of six questions at the bottom of the page. (10 minutes)

          Rice University - 2021

        • url icon
          Notes on Measurement Error URL
          Students must
          View

          Read from beginning up to the end of section titled 'We Can Not Avoid Them'. (6 minutes)

          University of Oregon - 2017

        • url icon
          Practices of Science: Precision vs. Accuracy URL
          Students must
          View

          Read entire page. (6 minutes)

          University of Hawaii - 2022

        • url icon
          Reliability and Validity of Measurement URL
          Students must
          View

          Read entire page. (13 minutes)

          Washington State University - 2022

        • quiz icon
          Quiz: Module1: Lessons 1 & 2

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Course Registration is marked complete ...
          Not available unless:
          • The activity Course Registration is marked complete
          • The activity Pre-Test is marked complete
      • Module 1: Lesson 3: Research Design and Data Collection

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Describe and identify the various sources of data.
        • Describe some methods and tools of data collection.
        • Identify research variables and Describe the relationship between them.
        • Generate testable research questions from an idea.
        Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 51 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Data Sources URL
          Students must
          View

          Read entire page. (3 minutes)

          Australian Bureau of Statistics - 2022

        • url icon
          Data Collection Methods URL
          Students must
          View

          Read entire page. (10 minutes)

          Australian Bureau of Statistics - 2022

        • url icon
          Variables in Research URL
          Students must
          View

          Read Entire page. (10 minutes)

          Samarpan Institute of Nursing Sciences - 2013

        • url icon
          Generating Good Research Questions URL
          Students must
          View

          Read entire page and watch included video. (14 minutes)

          Research Methods in Psychology - 2015

      • Module 1: Lesson 4: Randomization and Sampling

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Discuss the importance of and identify instances of Random Selection and Random Assignment in Research.
        • Determine the sampling method that will best generate samples for a given situation in research.
        • Explain the generation of a stratified, a cluster, a systematic, or any other types of sampling discussed in the text.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 55 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Elements of Research URL
          Students must
          View

          Read entire page. (2 minutes)

          San Diego State University - 2021

        • url icon
          Elements of Research URL
          Students must
          View

          Read entire page. (2 minutes)

          San Diego State University - 2021

        • url icon
          Chapter 7: Sampling Techniques URL
          Students must
          View

          Read up to the end of page 14. (30 minutes)

          University of Central Arkansas - 2013

        • forum icon
          Practical Activity 1 Forum
          Students must
          View
          Start discussions: 1

          Student Learning outcome (Module 1 Lesson 4): Discuss the importance of and identify instances of Random Selection and Random Assignment in Research. 

          Step 1. Review

          Review the learning resources for this lesson before studying the case problem.

          Step 2. Analyze

          Analyze the case problem below.

          A new drug is introduced. How should an experiment be designed to test its effectiveness? The primary method is comparison. The drug is given to subjects in a treatment group, but other subjects are used as controls ‒ they aren’t treated. The treatment and control groups should be as similar as possible ‒ except for the treatment. Then the responses of the two groups are compared. Subjects should be assigned to the groups at random. A randomized controlled assignment is when an impartial chance procedure is used to assign the subjects to treatment or control. This method provides the best assurance of validity and reliability. However, randomized controlled experiments are hard to do. As a result, doctors often use other designs which are not as good. For example, a new treatment can be tried out on one group of patients, who are compared to “historical controls:” patients treated the old way in the past. Usually, using historical controls, assignment to the groups is not randomized, resulting in a poorly-designed experiment. The problem is that the treatment and historical groups may differ in important ways besides the treatment.

          Coronary bypass surgery is a widely used ‒ and very expensive ‒ operation for coronary artery disease. Chalmers and associates identified 29 trials of this surgery (first line of the table below). There were 8 randomized controlled trials, and 7 were quite pessimistic about the value of the operation. By comparison, there were 21 trials with historical controls, and 16 were positive. Three other therapies were evaluated: 5-FU, used in chemotherapy for colon cancer; BCG, used to treat melanoma; and DES, used to prevent miscarriage. The data are given below.

          Table 1: A study of studies. Four therapies were evaluated by randomized controlled trials and by trials using historical controls. Conclusions of trials are summarized as positive about the value of the therapy (+) or negative (-).

          355

          Why are the randomized controlled studies less enthusiastic, and the less well-designed studies more enthusiastic about the value of the surgery? 

          Look at it in view of the data in the table below.

          Table 2: Randomized controlled experiments vs. studies with historical controls: three-year survival rates for surgery patients and patients used as controls in trials of coronary bypass surgery.

          6422

          Step 3. Respond

          Respond to the case problem by answering the question: Why are the randomized controlled studies less enthusiastic and the less well-designed studies more enthusiastic about the value of the surgery? 

          Step 4. Share

          To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


        • quiz icon
          Quiz: Module1: Lessons 3 & 4
          Students must
          View
          Receive a grade
          Receive a passing grade

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

        • quiz icon
          Quiz: Module 1
          Students must
          View
          Receive a grade
          Receive a passing grade

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

      • Module 2: Graphical Methods of Describing Data

        Competency covered in this module: 
        • MCAT: Use, analyze, and interpret data n figures, graphs, and tables.
        • MCAT: Evaluate whether representations make sense for particular observations and data.
      • Module 2: Lesson 1: Displaying Univariate Data

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Determine the appropriateness of, Create, and Interpret Graphical Representations of Univariate Data with: Pie Charts, Dot Plots, Stem-and-leaf Plots, and Frequency tables.
        Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 59 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Graphing Qualititative Variables URL
          Students must
          View

          Read entire page. (7 minutes)

          Rice University - 2021

        • url icon
          Graphing Qualititative Variables - Graphic Distribution (Video) URL
          Students must
          View

          Watch the entire video. (7 minutes)

          Rice University - 2021

        • url icon
          Dot Plots URL
          Students must
          View

          Read the entire page. (3 minutes)

          Rice University - 2021

        • url icon
          Stem and Leaf Displays URL
          Students must
          View

          Read entire page. (9 minutes)

          Rice University - 2021

        • url icon
          Graphing Distributions - Stem and Leaf Displays (Video) URL
          Students must
          View

          Watch entire video. (9 minutes)

          Rice University - 2021

        • url icon
          Histograms URL
          Students must
          View

          Read the entire page. (7 minutes)

          Rice University - 2021

        • url icon
          Graphing Distributions - Histograms (Video) URL
          Students must
          View

          Watch the entire video. (6 minutes)

          Rice University - 2021

        • url icon
          Creating a Frequency Table and its Graphs URL
          Students must
          View

          Watch entire video. (23 minutes)

          2023

      • Module 2: Lesson 2: Displaying Bivariate Data

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Determine the appropriateness of, Create, and Interpret Graphical Representations of Bivariate Data with:: Scatterplots, Line Graphs, and Runs (Time Series) Plots.
        Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 18 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Scatter Plot URL
          Students must
          View

          Read entire page. (6 minutes)

          Statistics Canada, Government of Canada - 2021

        • url icon
          Line Graphs URL
          Students must
          View

          Read entire page. (4 minutes)

          Rice University - 2021

        • url icon
          Graphing Distributions - Line Graphs (Video) URL
          Students must
          View

          Watch entire video. (5 minutes)

          Rice University - 2021

        • url icon
          Run charts URL
          Students must
          View

          Read entire page. (4 minutes)

          Clinical Excellence Commission, Govt. of Australia - 2022

        • url icon
          Graphing of Bivariate Data 1 URL
          Students must
          View

          Watch entire Video. (18 minutes)

          2023

      • Module 2: Lesson 3: Communicating and Interpreting the Results of Graphical Statistical Analysis

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Determine whether graphical representations of statistical analysis results are clearly communicated.
        • Read and Interpret Statistical Graphs
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 17 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Comunicating Clearly with Graphs and Charts URL
          Students must
          View

          Read Up to and including Page 19. (20 minutes)

          State of Washington Government - 2017

        • url icon
          How to Interpret Scientific and Statistical Graphs URL
          Students must
          View

          Read entire page. (13 minutes)

          Vanderbilt University, Dept of Biostatistics - 2021

        • forum icon
          Discussion Forum 2
          Students must
          View
          Start discussions: 1

          In this activity, you will discuss the interpretation of statistical graphs and the relationship between variables. 

          Step 1. Review

          Review the learning resources for this lesson before answering the question.

          Step 2. Analyze

          Analyze and discuss the question below.

          58

          Step 3. Respond

          Respond to the case problem by writing a 300-500-word discussion post with the following inclusions.

          Step 4. Share

          To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


        • quiz icon
          Quiz: Module 2

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to view the case studies and respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 1 is marked complete
      • Module 3: Numerical Methods of Describing Data: Summary Numbers

        Competency covered in this module: 
        • MCAT: Use measures of Central Tendency and Measures of Dispersion to describe data.
        • MCAT: Demonstrate an understanding of managing data by: evaluating and analyzing methods for examining central tendency; Formulating various techniques to analyze data dispersion; Assessing use of fractile measures such as quartiles and percentiles.
        • MCAT: Use, analyze, and interpret data n figures, graphs, and tables.
        • Miami-Dade: Demonstrate an understanding of descriptive statistics by: Interpreting and assessing data displayed using visual graphic presentation methods.
        • MCAT: Reason about ethical issues in scientific research.
      • Module 3: Lesson 1: Measures of Central Tendency

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the concept of central tendency.
        • Compute the midrange, midquartile, mean, median, mode, weighted, or combined mean of a given data set.
        • Explain the weakness of the median and mean as measures of CT.
        • Determine whether it is appropriate to use the mean, the median, and the mode to express the center of a given dataset.
        Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 28 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          What is Central Tendency? URL
          Students must
          View

          Read entire page. (12 minutes)

          Rice University - 2021

        • url icon
          Summarizing Distributions - What is Central Tendency (Video) URL
          Students must
          View

          Watch the entire video. (11 minutes)

          Rice University - 2021

        • url icon
          Measures of Central Tendency URL
          Students must
          View

          Read entire page and do the set of five (5) questions at the bottom of the page. (10 minutes)

          Rice University - 2021

        • url icon
          Measures of Central Tendency (Video) URL
          Students must
          View

          Watch the entire video. (21 minutes)

          2023

        • url icon
          Mean vs. Median: What do they mean and when do you use them? URL
          Students must
          View

          Read entire page. (3 minutes)

          Michigan State University - 2016

      • Module 3: Lesson 2: Measures of Dispersion

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain dispersion in distributions.
        • Compute the range, interquartile range, variance, and standard deviation of a given data distribution.
        Approximate time required for the readings for this lesson (at 144 words/minute): 51 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Measures of Variability URL
          Students must
          View

          Read entire page. (7 minutes)

          Rice University - 2021

        • url icon
          Graphing Distributions - Measures of Variability (Video) URL
          Students must
          View

          Watch entire video. (7 minutes)

          Rice University - 2021

        • url icon
          Variance Demonstration URL
          Students must
          View

          Watch all 4 slides. (3 minutes)

          Rice University - 2021

      • Module 3: Lesson 3: Measures of Position

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Find percentile and quartiles of a distribution.
        • Explain the purpose of and compute the z-score of a measure within a distribution.
        • Normalize scores from different distributions to compare them.
        Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 22 minutes.

        Click here to start this lesson
        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          1.5.2 - Measures of Position URL
          Students must
          View

          Read entire page. (7 minutes)

          Penn State University, Eberly College of Science - 2022

        • url icon
          Z-scores: Location of scores and standardized distributions URL
          Students must
          View

          Watch all slides. (20 minutes)

          Cal State University, Northridge - 2021

        • url icon
          Normalizing Data URL
          Students must
          View

          Read entire page. (6 minutes)

          University of Texas at Dallas - 2022

        • quiz icon
          Quiz: Module 3: Lessons 1, 2 & 3

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 2 is marked complete
      • Module 3: Lesson 4: Using Boxplots to Summarize Datasets

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Define basic terms including hinges (fences), H-spread, step, adjacent value, outside value (outlier), and far out value (far outlier).
        • Use the 5-number summary to create boxplots to describe a dataset.
        • Create and interpret side-by-side box (parallel) plots to compare two variables.
        • Create an adjusted boxplot to identify outliers.
        • Create an Adjusted Box Plot.
        • Find Grouped Mean and Variance.
        Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 54 minutes.

        Click here to start this lesson
        • Required Learning Resources and Activities
        • url icon
          Box Plots URL
          Students must
          View

          Read entire Page and answer questions at the bottom of the page. (11 minutes)

          Rice University - 2021

        • url icon
          Graphing Distributions - Box Plots (Video) URL
          Students must
          View

          Watch entire video. (8 minutes)

          Rice University - 2021

        • url icon
          Adjusted Box Plots, Grouped Mean and Variance (Video) URL
          Students must
          View

          Watch entire video. (18 minutes)

        • forum icon
          Practical Activity 2 Forum
          Students must
          View
          Start discussions: 1

          Student Learning outcome: Use the Five-Number Summary to Create a Boxplot to Describe a Data Set
          In this activity, you will investigate the relationship between boxplot shapes and the corresponding five-number summary.

          Step 1. Review

          Review the learning resources for this lesson before studying the case problem.

          Step 2. Analyze

          Analyze the case problem below.

          The accompanying figure shows four boxplots labeled A to D. Also given are four five-number summaries, labeled I to IV. Match each five-number summary to the appropriate boxplot. Note that scales are not included on the boxplots, so you will have to consider what the five-number summary implies about the characteristics of the boxplot.


          986

          Step 3. Respond

          Respond to the case problem by showing the boxplot properties, logic steps, and reasoning you used to match each figure with its corresponding five-number summary.

          Step 4. Share

          To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”



      • Module 3: Lesson 5: Extra Topics on Describing Data

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Distinguish between parameters and statistics.
        • Explain and give examples of skew and kurtosis of a distribution.
        • Identify and compare the relative positions of the mean and median and the difference between them as they are affected by skew.
        • Illustrate some ways in which graphs and statistics can be used to mislead.
        • Graph mixed bivariate data sets-
        • interpret graphs for Time Series Data.
        • Use numerical summaries with control charts to determine when a system is out-of-control.
        Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 46 minutes.

        Click here to start this lesson
        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Basic terminology URL
          Students must
          View

          Read the page to the end of 'Samples and Statistics' section. (5 minutes)

          Penn State University - 2022

        • url icon
          Measures of Shape: Skewness and Kurtosis URL
          Students must
          View

          Read entire page, paying more attention to the concepts than to the formulas. (8 minutes)

          Mustansiriyah University - 2021

        • url icon
          2.7: Skewness and the Mean, Median, and Mode URL
          Students must
          View

          Read entire page. (7 minutes)

          UC Davis - 2022

        • url icon
          Misleading Graphs and Statistics URL
          Students must
          View

          Read entire page. (10 minutes)

          Arkansas Tech University - 2021

        • url icon
          Bivariate Data 2 (Video) URL
          Students must
          View

          Watch entire video. (10 minutes)

        • url icon
          Control Chart URL
          Students must
          View

          Read entire page. (8 minutes)

          (ASQ) American Society for Quality - 2022

        • forum icon
          Discussion Forum 3
          Students must
          View
          Start discussions: 1

          In this activity, you will discuss factors of data collection that affect the shape, particularly the skewness, of the data distribution. 

          Step 1. Review

          Review the learning resources for this lesson before answering the question.

          Step 2. Analyze

          Analyze and discuss the question below.

          258
          Step 3. Respond

          Respond to the case problem by writing a 300-500-word discussion post with the following inclusions.

          Step 4. Share

          To share your work, click on the “Add a new discussion topic” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts made by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


        • quiz icon
          Quiz: Module 3: Lessons 4 & 5

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to view the case studies and respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 3: Lessons 1, 2 & 3 is marked complete
        • quiz icon
          Quiz: Module 3
          Students must
          View
          Receive a grade
          Receive a passing grade

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.


      • Module 4: Probability, Random Variables, and Distributions

        Competency covered in this module: 
        • Miami-Dade: Compute basic probabilities as used in statistical applications by comparing the concepts of probability; demonstrating the elementary rules of probability; creating used for Bayes' Theorem, and differing among the counting rules.
        • Yale: random Variables, discrete, continuous, density functions. Mean and Variance of random variables, definitions, and properties.
      • Module 4: Lesson 1: Counting Rules

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Determine the permutations and combinations of n items arranged r at a time.
        Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 15 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          The Fundamental Counting Principle URL
          Students must
          View

          Read entire page. (25 minutes)

          Dux College, Australia - 2022

      • Module 4: Lesson 2: Probability Basics

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the meaning of the probability of an event A in a sample space S.
        • Calculate the probability of a specified simple event in a chance experiment with equally likely outcomes determine simple probabilities using the complement rule, and frequencies or count.
        • Determine compound probabilities using the addition rules for disjoint and non-disjoint events.
        • Find the conditional probabilities of events.
        • determine if two given events are independent.
        • Find probabilities using the multiplication rule.
        • Find probabilities using Bayes' Rule.
        • Determine Sensitivity, Specificity, False Negative, and False Positive probabilities, the Prevalence of a disease, the Predictive Value Positive, and Predictive Value Negative of a Screening Test from a contingency table.
        Approximate time required for the readings for this lesson (at 144 words/minute): 8 hours and 10 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Probability URL
          Students must
          View

          Read entire page. (4 minutes)

          Institute for Work and Health - 2010

        • url icon
          Basic Probability Rules URL
          Students must
          View

          Read entire page and watch the video included. (25 minutes)

          University of Florida - 2022

        • url icon
          Conditional Probability and Independence URL
          Students must
          View

          Read the entire page. (25 minutes)

        • url icon
          Conditional Probability and Independence (Video) URL
          Students must
          View

          Watch entire video. (5 minutes)

          Khan Academy - 2022

        • url icon
          General Multiplication Rule URL
          Students must
          View

          Read entire page. (25 minutes)

          University of Florida - 2022

        • url icon
          Bayes’ Rule for Clinicians: An Introduction URL
          Students must
          View

          Read entire page. (32 minutes)

          NIH - National Library of Medicine - 2021

        • url icon
          Evaluating Screening Tests URL
          Students must
          View

          Read entire page. (10 minutes)

          Boston University School of Public Health - 2021

        • url icon
          Probabilities with Contingency Tables URL
          Students must
          View

          Watch entire Video. (24 minutes)

          2023

        • forum icon
          Practical Activity 3 Forum
          Students must
          View
          Start discussions: 1

          Student Learning Outcome (Module 4 Lesson 2): Determine Sensitivity, Specificity, False Negative, and False Positive probabilities, the Prevalence of a disease, the Predictive Value Positive, and Predictive Value Negative of a Screening Test from a contingency table.

          Step 1. Review

          Review the learning resources for this lesson before studying the case problem.

          Step 2. Analyze

          Analyze the case problem below.

          The paper “Good for Men, Good for Women, bad for People: Simpson’s Paradox and the Important of Sec-Specific Analysis in Observational Studies” (Journal of Women’s Health and Gender-Based Medicine [2001]: 867-872) described a medical study in which one treatment was shown to be better for men and better for women than a competing treatment when the data for men and women were analyzed separately. However, if the data for men and women are combined, it appears as though the competing treatment is better. 

          To see how this can happen, consider the accompanying data tables constructed from the information in the paper. Subjects in the study were given either Treatment A or Treatment B, and survival was noted. Let S be the event that a patient selected at random survives, A be the event that a patient selected at random received Treatment A, and B be the event that a patient selected at random received Treatment B. 

          The following table summarizes data for the men who participated in the study:

          65455

          1. Find PS.
          2. Find PS|A.
          3. Find PS|B.
          4. Which treatment appears to be better?

          Now consider the summary data for women who participated in the study:

          64

          5. Find PS.
          6. Find PS|A.
          7. Find PS|B.
          8. Which treatment appears to be better?

          Now consider the data summary for men and women combined:

          5

          9. Find PS.
          10.  Find PS|A.
          11. Find PS|B.
          12.  Which treatment appears to be better?

          This is an example of what is called Simpson’s paradox.

          Step 3. Respond

          Respond to the case problem by writing a brief explanation of why this apparent inconsistency occurs for this data set.

          Step 4. Share

          To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


      • Module 4: Lesson 3: Random Variables

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the concept of a random variable.
        • Distinguish between discrete and continuous random variables.
        • Given the experiment, and the random variable defined, create the frequency, probability, and cumulative distributions, and their attendant graphs.
        • Answer probability questions based on the distributions created from the random variable
        Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 53 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Random Variables URL
          Students must
          View

          Read the entire page and watch the included video. (17 minutes)

          University of Florida - 2022

        • url icon
          Anatomy of a Random Variable URL
          Students must
          View

          Watch the entire video. (23 minutes)

        • quiz icon
          Quiz: Module 4: Lessons 1, 2 & 3

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to view the case studies and respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 3: Lessons 4 & 5 is marked complete
      • Module 4: Lesson 4: Discrete Random Variables and Discrete Distributions of Random Variables

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Find the expected value (mean), variance, and standard deviation of a discrete random variable.
        • Identify a situation in which a binomial random variable can be used to model and predict.
        • Compute and interpret the mean and standard deviation of a binomial random variable.
        • Calculate probabilities using the binomial distribution.
        • Identify a situation in which a Poisson random variable can be used to model and predict.
        • Calculate probabilities using the Poisson distribution.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 48 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Discrete Random Variables URL
          Students must
          View

          Read the entire page and watch the included video. (26 minutes)

          University of Florida - 2022

        • url icon
          Binomial Random Variables URL
          Students must
          View

          Read the entire page and watch the included video. (22 minutes)

        • url icon
          The Poisson Distribution URL
          Students must
          View

          Read the entire page and watch the two short videos included. (15 minutes)

          Penn State University - 2021

        • url icon
          Finding Poisson Probabilities URL
          Students must
          View

          Read the entire page and watch the two short videos included. (13 minutes)

      • Module 4: Lesson 5: Continuous Random Variables and the Normal Distribution

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Interpret the mean, standard deviation, and shape of probability distributions of continuous random variables.
        • Explain the key features of the normal distribution.
        • Calculate probabilities of a non-standard normal distribution using the standard normal distribution tables.
        • Use the Empirical Rule to compute percentages under the curve of the normal distribution.
        • Standard Normal Distribution Tables.
        Approximate time required for the readings for this lesson (at 144 words/minute): 5 hours and 56 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Continuous Random Variables URL
          Students must
          Mark as done

          Read the entire page and watch the included video. (17 minutes)

          Florida State University - 2022

        • url icon
          Normal Random Variables URL
          Students must
          Mark as done

          Read the entire page and watch the included video. (20 minutes)

          Florida State University - 2022

        • url icon
          The Sandard Normal Distribution URL
          Students must
          View

          Read the entire page and watch the included video. (24 minutes)

          Florida State University - 2022

        • forum icon
          Discussion Forum 4
          Students must
          View
          Start discussions: 1

          In this activity, you will discuss some of the key features and properties of the normal distribution. 

          Step 1. Review

          Review the learning resources for this lesson before answering the question.

          Step 2. Analyze

          Analyze and discuss the question below.

          65

          Step 3. Respond

          Respond to the case problem by writing a 300-500-word discussion post with the following inclusions.

          Step 4. Share

          To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts made by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


        • quiz icon
          Quiz: Module 4: Lessons 4 & 5

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to view the case studies and respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 4 is marked complete
        • quiz icon
          Quiz: Module 4

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 3 is marked complete
      • Module 5: Sampling Distributions

        Competency covered in this module: 
        • MCAT: Reason about statistical significance and uncertainty (e.g., interpreting statistical significance leve and confidence intervals.
      • Module 5: Lesson 1: Sampling Variablilty

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Discuss the concept of variability of the sample statistics, and the connection between variability, the population parameter, and sample size.
        Approximate time required for the readings for this lesson (at 144 words/minute): 48 minutes.

        Click here to start this lesson

        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Sample Variablility and Sampling Distributions URL
          Students must
          View

          Read entire Page and watch included video. (16 minutes)

          University of Bristol - 2021

      • Module 5: Lesson 2: Sampling Distributions

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the concept of a sampling distribution.
        • Distinguish between the Sampling Distribution of the Mean, a distribution of the sample, and the population distribution.
        Approximate time required for the readings for this lesson (at 144 words/minute): 27 minutes.

        Click here to start this lesson
        • Students must
          Mark as done
          Required Learning Resources and Activities
        • url icon
          Introduction to sampling distributions URL
          Students must
          View

          Watch entire Video. (10 minutes)

          Khan Academy - 2022

      • Module 5: Lesson 3: The Central Limit Theorem

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the Central Limit Theorem (CLT) and its importance in Inferential Statistics.
        • Find and apply the mean and standard error of the sampling distribution of the mean, as summarized by the CLT.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 35 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          The Central Limit Theorem URL
          Students must
          View

          Watch entire Video. (10 minutes)

          Khan Academy - 2022

        • url icon
          Sampling Distribution of the Sample Mean, x-bar URL
          Students must
          View

          Read entire page. (20 minutes)

          Florida state University - 2022

        • forum icon
          Practical Activity 4 Forum
          Students must
          View
          Start discussions: 1

          Student Learning Outcome (Module 5 Lesson 3): Find and apply the mean and standard error of the sampling distribution of the mean, as summarized by the Central Limit Theorem.

          Step 1. Review

          Review the learning resources for this lesson before studying the case problem.

          Step 2. Analyze

          Analyze the case problem below.

          Part 1:

          Use the set of numbers {10, 20, 30, 40, 50} to perform he following tasks:

          1. Make a list of all possible samples of size 2 that could be drawn with replacement from this set of numbers, for example, (20, 30), (10, 50), (40, 40).
          2. Find all the sample means and construct the sampling distribution of sample means in tabular form, an example of which is shown below.

          82

          3. Find all the sample ranges and construct the sampling distribution of sample ranges in tabular form, an example of which is shown below.

          22

          Part 2:

          4. Using the Central Limit Theorem, calculate the mean and standard error of the sampling distribution of sample means.

          Step 3. Respond

          Respond to the case problem by writing answers to Questions 1, 2, 3, and 4.

          Step 4. Share

          To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


        • quiz icon
          Quiz: Module 5

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 4 is marked complete
      • Module 6: Estimation

        Competency covered in this module: 
        • MCAT: Relating statistical significance and uncertainty to conclusions that can or cannot be made about the study.
        • MCAT: Using data to explain relationships between variables.
      • Module 6: Lesson 1: Estimation

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain why we need to estimate.
        • Distinguish between point and interval estimates.
        • Explain what a margin of error is.
        • Find the margin of error given the confidence interval limits.
        • Explain what a confidence interval is.
        Approximate time required for the readings for this lesson (at 144 words/minute): 1 hour and 12 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Confidence Intervals Introduction URL
          Students must
          View

          Read entire page: Confidence Intervals Introduction and watch accompanying video. (24 minutes)

          Rice University - 2021

      • Module 6: Lesson 2: Confidence Intervals on Single Means and Proportions

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Compute and interpret a confidence interval on the mean when σ is known.
        • t-Distribution Tables.
        • Determine whether to use a t-distribution or a normal distribution to compute confidence intervals.
        • Compute a confidence interval on the mean when σ is estimated.
        • Compute and interpret confidence intervals for proportions.
        Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 57 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Confidence Interval on the Mean URL
          Students must
          View

          Read entire page and watch accompanying video: Confidence Interval on the Mean. (18 minutes)

          2021

        • url icon
          Proportion URL
          Students must
          View

          Read entire page: Confidence Intervals for Proportions and watch accompanying video. (11 minutes)

        • forum icon
          Practical Activity 5 Forum
          Students must
          View
          Start discussions: 1

          Student Learning Outcome (Module 6 Lesson 2): Compute and interpret confidence intervals for proportions.

          Step 1. Review

          Review the learning resources for this lesson before studying the case problem.

          Step 2. Analyze

          Analyze the case problem below.

          The article “Doctors Cite Burnout in Mistakes” (San Luis Obispo Tribune, March 5, 2002) reported that many doctors completing their residency have financial struggles that could interfere with training. In a sample of 115 residents, 38 reported working moonlighting jobs, and 22 reported high credit card debt. Suppose that it is reasonable to consider this sample of 115 a random sample of all medical residents in the United States. 

          1. Construct and interpret a 95% confidence interval for the proportion of U.S. medical residents who work moonlighting jobs.

          2. Construct and interpret a 90% confidence interval for the proportion of U.S. medical residents who report high credit card debt.

          3. Give two reasons why the confidence interval in Part 1 is wider than in Part 2.

          4. Consider the following statement: If the process of selecting a sample of size 115 and then computing the corresponding confidence interval is repeated 100 times, 95% of the resulting intervals will include the true population proportion. Is this statement correct? Why or why not?

          Step 3. Respond

          Respond to the case problem by writing answers to Parts 3 and 4.

          Step 4. Share

          To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


      • Module 6: Lesson 3: Confidence Intervals on Differences of Two Means and Proportions

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Find and Interpret the Confidence Interval for the Difference in Means of Two Independent Samples.
        • Find and Interpret the Confidence Interval for the Difference in Two Proportions.
        Approximate time required for the readings for this lesson (at 144 words/minute): 2 hours and 29 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Confidence Interval for Two Independent Samples, Continuous Outcome URL
          Students must
          View

          Read entire Page. (20 minutes)

          Bistibn University School of Public Health - 2021

        • url icon
          Confidence Interval for Two Independent Samples, Dichotomous Outcome URL
          Students must
          Mark as done

          (13 minutes)

          Bistibn University School of Public Health - 2021

        • quiz icon
          Quiz: Module 6

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 5 is marked complete
      • Module 7: Testing of Hypotheses

        Competency covered in this module: 
        • MCAT: Use data to answer research questions and draw conclusions.
        • MCAT: Identify testable research questions and hypotheses.
        • MCAT: Identify conclusions that are supported by research results and determine the implications of results for real-world situations.
        • MCAT: Distinguish between results that do and do not support generalizations about populations.
      • Module 7: Lesson 1: The Basics of Hypothesis Testing

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the meaning of the term "statistically significant."
        • Determine the null and alternative hypotheses from a description of an experiment.
        • Describe how a p-value is used to cast doubt on the null hypothesis.
        • Differentiate between Type I and Type II errors.
        • State the null hypothesis for both one-tailed and two-tailed tests for a given Hypothesis test.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 30 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Introduction: The Logic of Hypothesis Testing URL
          Students must
          View

          Read entire page: Introduction to Hypothesis Testing. (8 minutes)

          Rice University - 2021

        • url icon
          The Logic of Hypothesis Testing - Introduction (Video) URL
          Students must
          View

          Watch the video: Introduction to Hypothesis Testing. (11 minutes)

          Rice University - 2021

        • url icon
          The Elements of Hypothesis Testing URL
          Students must
          View

          Read entire page - Section 8.1: Elements of Hypothesis Testing. (15 minutes)

          LibreTexts - UC Davis - 2022

        • url icon
          Significance Testing URL
          Students must
          View

          Read entire page: Significance Testing. (6 minutes)

          Rice University - 2021

        • url icon
          The Logic of Hypothesis Testing: Significance Testing (Video) URL
          Students must
          View

          Watch video: Significance Testing. (6 minutes)

          Rice University - 2021

        • url icon
          Type I and Type II Errors URL
          Students must
          View

          Read entire page: Type I and Type II Errors. (5 minutes)

          Rice University - 2021

        • url icon
          The Logic of Hypothesis Testing: Type I and Type II Errors (Video) URL
          Students must
          View

          Watch video: Type I and Type II Errors. (8 minutes)

          Rice University - 2021

        • url icon
          One- and Two-Tailed Tests URL
          Students must
          View

          Read entire page: One- and Two-Tailed Tests. (5 minutes)

          Rice University - 2021

        • url icon
          The Logic of Hypothesis Testing: One- and Two-Tailed Tests (Video) URL
          Students must
          View

          Watch the video: One- and Two-Tailed Tests. (6 minutes)

          Rice University - 2021

      • Module 7: Lesson 2: Hypothesis Testing of the Population Mean and Proportion

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Perform one- and two-tailed hypothesis tests for the mean in the case when is known (or for a large sample), using the steps involved in significance testing.
        • Perform one- and two-tailed hypothesis tests for the mean in the case when has to be estimated (of for a small sample), using the steps involved in significance testing.
        • Use the steps involved in significance testing to perform one- and two-tailed hypotheses tests for the single proportion.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 25 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          8.2: Large Sample Tests for a Population Mean URL
          Students must
          View

          Read entire Page - Section 8.2: Largel Sample Test for the Mean. (20 minutes)

          LibreBooks -UC Davis - 2022

        • url icon
          8.4: Small Sample Tests for a Population Mean URL
          Students must
          View

          Read Entire Page - Section 8.4: Small Sample Test for the Mean. (20 minutes)

          LibreBooks -UC Davis - 2022

        • url icon
          8.5: Large Sample Tests for a Population Proportion URL
          Students must
          View

          Read entire page - Section 8.5: Large Sample Test for the Population Proportion. (25 minutes)

          LibreBooks -UC Davis - 2022

        • quiz icon
          Quiz: Module 7: Lessons 1 & 2

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 6 is marked complete
      • Module 7: Lesson 3: Testing Two Samples

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the steps involved in significance testing for the difference in the means of two independent samples.
        • Explain the steps involved in significance testing for the difference in the means of paired samples.
        • Explain the steps involved in significance testing for the difference in two proportions.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 15 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          9.1: Comparison of Two Population Means- Large, Independent Samples URL
          Students must
          View

          Read entire page - Section 9.1: Comparison of Two Population Means - Large, Independent samples. (20 minutes)

          LibreBooks -UC Davis - 2022

        • url icon
          9.3: Comparison of Two Population Means - Paired Samples URL
          Students must
          View

          Read entire page - Section 9.3: Comparison of two population means, Paired Samples. (25 minutes)

          LibreBooks -UC Davis - 2022

        • url icon
          9.4: Comparison of Two Population Proportions URL
          Students must
          View

          Read entire page - Section 9.4: Comparison of Two Population Proportions. (20 minutes)

          LibreBooks -UC Davis - 2022

      • Module 7: Lesson 4: Testing with Categorical Variables

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Describe the Chi-Square distribution.
        • Perform and interpret a Chi-Square test for Independence.
        • Perform and interpret a Chi-Square Goodness-of-Fit test.
        Approximate time required for the readings for this lesson (at 144 words/minute): 7 hours and 19 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          The Chi-Square Distribution URL
          Students must
          View

          Read entire page: The Chi-Square Distribution. (5 minutes)

          Rice University - 2021

        • url icon
          The Chi-Square Distribution (Video) URL
          Students must
          View

          Watch the video: Chi-Square Distribution. (3 minutes)

          Rice University - 2021

        • url icon
          The Chi-Square Test for Independence URL
          Students must
          View

          Read entire page: Section - 11.3: Chi Square Test for Independence. (6 minutes)

          Eberly College of Science, Penn State University - 2022

        • url icon
          11.3.1 - Example: Gender and Online Learning URL
          Students must
          View

          Read entire page: Worked example. (8 minutes)

          Eberly College of Science, Penn State University - 2022

        • url icon
          The Chi-Square Test for Independence (Video) URL
          Students must
          View

          Watch the entire lecture video. (27 minutes)

        • url icon
          11.2 - Goodness of Fit Test URL
          Students must
          View

          Read entire page: Section - 11.2: Chi Square Goodness-of-Fit Test. (7 minutes)

          Eberly College of Science, Penn State University - 2022

        • url icon
          11.2.1 - Five Step Hypothesis Testing Procedure URL
          Students must
          View

          Read entire page - Section 11.2.1 -Five-Step Procedure. (7 minutes)

          Eberly College of Science, Penn State University - 2022

        • url icon
          11.2.1.1 - Video: Cupcakes (Equal Proportions) URL
          Students must
          View

          Watch video. (7 minutes)

          Eberly College of Science, Penn State University - 2022

        • url icon
          11.2.1.2- Cards (Equal Proportions) URL
          Students must
          View

          Read entire page. (9 minutes)

          Eberly College of Science, Penn State University - 2022

        • forum icon
          Practical Activity 6 Forum
          Students must
          View
          Start discussions: 1

          Student Learning Outcome (Module 7 Lesson 4): Perform and interpret a Chi-Square Test for Independence.

          Step 1. Review

          Review the learning resources for this lesson before studying the case problem.

          Step 2. Analyze

          Analyze the case problem below.

          The following table is based on data from 21,870 physicians aged 40 – 84 who are participating in the Physicians Health Study (“Light-to-Moderate Alcohol Consumption and Risk of Stroke Among US Physicians,” New England Journal of Medicine [2019]: 1557 - 1564): 

          1
4

          1. Calculate row proportions by dividing each observed count by the corresponding row total. Are the proportions falling in each of the alcohol consumption categories similar for the three smoking categories?

          2. Test the hypothesis using 𝛼 = 0.05 that Smoking Status and Alcohol Consumption are independent.

          3. Is your test result in Part 2 consistent with what you expected based on your answer to Part 1? If not, explain why your initial impression based on the proportions may not have been accurate.

          Step 3. Respond

          Respond to the case problem by writing answers to Parts 1, 2, and 3.

          Step 4. Share

          To share your work, access to the first post below and click on the “Reply” button under this post and paste your work into the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts by your peers respectfully and professionally. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


        • quiz icon
          Quiz: Module 7: Lessons 3 & 4
          Students must
          View
          Receive a grade
          Receive a passing grade

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to respond to the questions.

        • quiz icon
          Quiz: Module 7

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 6 is marked complete
      • Module 8: Introduction to Linear Regression Analysis

        Competency covered in this module: 
        • MCAT: Use data to explain relationships between variables or make predictions.
      • Module 8: Lesson 1: Linear Correlation

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the concept of correlation and how it differs from causation.
        • Identify positive and negative associations from a scatter plot.
        • Calculate r, the correlation coefficient of the two variables.
        • Utilize the rule of thumb for the interpretation of the calculated correlation coefficient.
        • Differentiate between the coefficient of correlation and the coefficient of determination.
        • Test the Correlation Coefficient for Significance.
        Approximate time required for the readings for this lesson (at 144 words/minute): 3 hours and 48 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Correlation and causation URL
          Students must
          View

          Read entire page. (3 minutes)

          Social and Public Health Unit, University of Glasgow - 2022

        • url icon
          Scatterplots and Correlation URL
          Students must
          View

          Read Entire section - Scatterplots and Correlation. (18 minutes)

          University of West Georgia - 2021

        • url icon
          Correlation and Simple linear Regession URL
          Students must
          View

          Read up to the end of Linear Correlation Coefficient (before Simple Linear Regression). (25 minutes)

          Milne Library, SUNY at Genesco - 2022

        • url icon
          What is the difference between coefficient of determination, and coefficient of correlation? URL
          Students must
          View

          Read entire page. (3 minutes)

          University of Wisconsin, Green Bay - 2022

        • url icon
          12.5: Testing the Significance of the Correlation Coefficient URL
          Students must
          View

          Read entire page. (27 minutes)

          LibeTexts, UC Davis - 2022

        • forum icon
          Discussion Forum 5
          Students must
          View
          Start discussions: 1

          In this activity, you will discuss the concepts of correlation and causation. 

          Step 1. Review

          Review the learning resources for this lesson before answering the question.

          Step 2. Analyze

          Analyze and discuss the question below.

          68

          Step 3. Respond

          Respond to the case problem by writing a 300-500-word discussion post with the following inclusions.

          Step 4. Share

          To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

          Step 5: Interact

          To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to the forum.”

          OPTIONAL Step 6: Interact (10 minutes)

          If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


      • Module 8: Lesson 2: The Basics of Linear Regression

        Student Learning Outcomes:
        Upon completion of this lesson, you will be able to:
        • Explain the concept of Linear Regression.
        • Find the Linear Regression equation and use it to Predict.
        • Test the Outliers, Influential Observations, and Leverage Points.
        Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 52 minutes.

        Click here to start this lesson

        • Required Learning Resources and Activities
        • url icon
          Introduction to Linear Regression URL
          Students must
          View

          Read entire page. (8 minutes)

          Rice University - 2021

        • url icon
          Intro to Regression (Video) URL
          Students must
          View

          Watch the entire video. (5 minutes)

          Rice University - 2021

        • url icon
          What is Simple Linear Regression? URL
          Students must
          View

          Read entire page. (5 minutes)

          Penn State, Elberly College - 2020

        • url icon
          Applied Regression Analysis - Lesson 9.1: The Distinction Between Outliers and High Leverge Observations URL
          Students must
          View

          Read entire page. (35 minutes)

          Penn State University, Eberly College of Science

        • quiz icon
          Quiz: Module 8

          To access the quiz, click on the name of the quiz provided above. On the following screen, click the attempt quiz button to respond to the questions.

          TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 80%.

          Not available unless: The activity Quiz: Module 7 is marked complete
      • Final Exam

        Click here to start Final Examination

        • quiz icon
          Final Exam Quiz

          To take the final exam, you must complete all quizzes and complete all the required activities. The final exam consists of 37 questions, and you will have 95 minutes to complete it. When the time is over, you will have two minutes to submit your attempt before it expires, and your progress is discarded. You will not be able to answer additional questions in the grace period.

          To access the exam, click on the name of the exam provided above. On the following screen, click the attempt quiz button to respond to the questions.


          Not available unless: All of: ...
          Not available unless:
          • All of:
            • The activity Course Registration is marked complete
            • The activity Pre-Test is marked complete
            • The activity Quiz: Module1: Lessons 1 & 2 is marked complete
            • The activity Quiz: Module1: Lessons 3 & 4 is marked complete
            • The activity Quiz: Module 1 is marked complete
            • The activity Quiz: Module 2 is marked complete
            • The activity Quiz: Module 3: Lessons 1, 2 & 3 is marked complete
            • The activity Quiz: Module 3: Lessons 4 & 5 is marked complete
            • The activity Quiz: Module 3 is marked complete
            • The activity Quiz: Module 4: Lessons 1, 2 & 3 is marked complete
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            • The activity Quiz: Module 7 is marked complete
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            • The activity Discussion Forum 1 is marked complete
            • The activity Practical Activity 1 is marked complete
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            • The activity Practical Activity 2 is marked complete
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      • Course and Self Evaluation & Certificate

        In this section, you can provide feedback about this course to help us make NextGenU.org better. Once evaluations are completed, you will be able to download your certificate of completion.

        Click here give your feedback

        • questionnaire icon
          Course Evaluation Questionnaire
          Not available unless: The activity Final Exam is marked complete
        • questionnaire icon
          Self Evaluation Questionnaire
          Not available unless: The activity Final Exam is marked complete
      • Course Activities

        • page icon
          Practical Activities. Page
          Students must
          Mark as done
        • page icon
          Discussion Forums Page
          Students must
          Mark as done
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