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8.4: Small Sample Tests for a Population Mean
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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For our institutional partners: Full Programs/Graduate Medical Education
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Intro to Statistics
Module 7: Lesson 2: Hypothesis Testing of the Population Mean and Proportion
8.4: Small Sample Tests for a Population Mean
8.4: Small Sample Tests for a Population Mean
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Course Registration
Peer Corner
Pre-Test
Fundamentals of The Scientific Approach
What is Ethics in Research and Why is it Important?
Discussion Forum 1
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
Data Sources
Data Collection Methods
Variables in Research
Generating Good Research Questions
Elements of Research
Elements of Research
Chapter 7: Sampling Techniques
Practical Activity 1
Quiz: Module1: Lessons 3 & 4
Quiz: Module 1
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
Scatter Plot
Line Graphs
Graphing Distributions - Line Graphs (Video)
Run charts
Graphing of Bivariate Data 1
Comunicating Clearly with Graphs and Charts
How to Interpret Scientific and Statistical Graphs
Discussion Forum 2
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?
Measures of Variability
Graphing Distributions - Measures of Variability (Video)
Variance Demonstration
1.5.2 - Measures of Position
Z-scores: Location of scores and standardized distributions
Normalizing Data
Box Plots
Graphing Distributions - Box Plots (Video)
Adjusted Box Plots, Grouped Mean and Variance (Video)
Practical Activity 2
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
The Fundamental Counting Principle
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
Random Variables
Anatomy of a Random Variable
Discrete Random Variables
Binomial Random Variables
The Poisson Distribution
Finding Poisson Probabilities
Continuous Random Variables
Normal Random Variables
The Sandard Normal Distribution
Discussion Forum 4
Sample Variablility and Sampling Distributions
Introduction to sampling distributions
The Central Limit Theorem
Sampling Distribution of the Sample Mean, x-bar
Practical Activity 4
Confidence Intervals Introduction
Confidence Interval on the Mean
Proportion
Practical Activity 5
Confidence Interval for Two Independent Samples, Continuous Outcome
Confidence Interval for Two Independent Samples, Dichotomous Outcome
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)
8.2: Large Sample Tests for a Population Mean
8.5: Large Sample Tests for a Population Proportion
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
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
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
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
Practical Activities.
Discussion Forums
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