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Tuesday, 24 May 2011

Concepts and Applications of Inferential Statistics

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Excerpts from book: 

Table of Contents 
Chapter 

1. Principles of Measurement 

2. Distributions 

3. Introduction to Correlation & Regression 

3a. Partial Correlation 

3b. Rank-Order Correlation 

4. A First Glance at the Question of Statistical Significance 

Appendix: Sampling Distributions of r 

Appendix: Test for the Significance of r 

5. Basic Concepts of Probability 

Appendix: Exact Binomial Probability Calculator 

6. Introduction to Probability Sampling Distributions 

Appendix: Binomial Sampling Distribution Generator 

Appendix: z to P Calculator 

7. Tests of Statistical Significance: Three Overarching Concepts 

8. Chi-Square Procedures for the Analysis of Categorical Frequency Data 

Appendix: Chi-Square Sampling Distribution Generator 

8a. The Fisher Exact Probability Test 

9. Introduction to Procedures Involving Sample Means 

Appendix: Sampling Distributions of t 

10. t-Procedures for Estimating the Mean of a Population 

11. t-Test for Two Independent Samples 

11a. Non-Parametric Alternative: 
11a. The Mann-Whitney Test 

12. t-Test for Two Correlated Samples 

12a. Non-Parametric Alternative: 
11a. The Wilcoxon Signed-Rank Test 

13. Conceptual Introduction to the Analysis of Variance 

Appendix: Sampling Distributions of F 

14. One-Way Analysis of Variance for Independent Samples 

14a. Non-Parametric Alternative: 
14a. The Kruskal-Wallis Test 

15. One-Way Analysis of Variance for Correlated Samples 

15a. Non-Parametric Alternative: 
15a. The Friedman Test 

16. Two-Way Analysis of Variance for Independent Samples 

17. One-Way Analysis of Covariance for Independent Samples 


A. Table of the Unit Normal Distribution 

B. Critical Values of Chi-Square 

C. Critical Values of t 

D. Critical Values of F