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Statistics
Statistics
1. Introduction to Statistics
2. Data Collection and Sampling
3. Descriptive Statistics: Organizing and Summarizing Data
4. Probability Theory
5. Probability Distributions
6. Sampling Distributions
7. Inferential Statistics: Estimation
8. Inferential Statistics: Hypothesis Testing
9. Analysis of Variance (ANOVA)
10. Correlation and Regression
11. Chi-Square Tests
12. Non-Parametric Statistics
13. Experimental Design
14. Advanced Topics in Statistics
Experimental Design
Introduction to Experimental Design
Purpose
Causality Establishment
Control of Variables
Principles of Experimental Design
Control
Controlling Extraneous Variables
Elimination vs. Constancy
Matching
Randomization
Random Assignment Methods
Simple Randomization
Block Randomization
Stratified Randomization
Importance for Validity
Replication
Importance
Implementation
Sample Size Considerations
Types of Variables
Independent Variables
Manipulated Variables
Levels or Treatments
Dependent Variables
Outcome Measures
Measurement Considerations
Extraneous Variables
Confounding Variables
Control Methods
Common Designs
Completely Randomized Design
Structure
Random Assignment
Advantages and Limitations
Analysis Methods
Randomized Block Design
Blocking Variables
Block Formation
Implementation
Efficiency Gains
Latin Square Design
Structure
Limitations
Factorial Design
Two-Factor Designs
Main Effects and Interactions
Interpretation
Higher-Order Designs
Validity in Experimental Design
Internal Validity
Threats to Internal Validity
Control Methods
External Validity
Generalizability
Population Validity
Ecological Validity
Construct Validity
Measurement Issues
Statistical Conclusion Validity
Power Analysis
Effect Size
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14. Advanced Topics in Statistics