Parametric and Nonparametric Measures

© 2002 | 104 pages | SAGE Publications, Inc
Correlations, in general, and the Pearson product-moment correlation in particular, can be used for many research purposes, ranging from describing a relationship between two variables as a descriptive statistic to examining a relationship between two variables in a population as an inferential statistic, or to gauge the strength of an effect, or to conduct a meta-analytic study. How can correlation be more effectively used so that one doesn't misinterpret the data? This book reveals how to do this by examining Pearson r from its conceptual meaning, to assumptions, special cases of the Pearson r, the biserial coefficient and tetrachoric coefficient estimates of the Pearson r, its uses in research (including effect size, power analysis, meta-analysis, utility analysis, reliability estimates and validation), factors that affect the Pearson r, and finally to additional nonparametric correlation indexes. After reading this book, the reader will be able to compare and distinguish the concepts of similarity and relationship, identify the distinction between correlation and causation, and to interpret correlations correctly. 

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Ch 1. Introduction
Characteristics of a Relationship  
Correlation and Causation  
Correlation and Causation  
Correlation and Correlational Methods  
Choice of Correlation Indexes  
Ch 2. The Pearson Product-Moment Correlation
Interpretation of Pearson r  
Assumptions of Pearson r in Inferential Statistics  
Sampling Distributions of the Pearson r  
Properties of the Sampling Distribution of the Pearson  
Null Hypothesis Tests of r = 0  
Null Hypothesis Tests of r = rø  
Confidence Intervals of r  
Null Hypothesis Test of r1 = r2  
Null Hypothesis Test for the Difference Among More Than Two Independent r's  
Null Hypothesis Test for the Difference Between Two Dependent Correlations  
Chapter 3: Special Cases of The Pearson r
Point-Biserial Correlation, rpb  
Phi Coefficient, f  
Spearman Rank-Order Correlation, rrank  
True vs. Artificially Converted Scores  
Biserial Coefficient,  
Tetrachoric Coefficient,  
Eta Coefficient,  
Other Special Cases of the Pearson r  
Chapter 4: Applications of the Pearson r
Application I: Effect Size  
Application II: Power Analysis  
Application III: Meta-Analysis  
Application IV: Utility Analysis  
Application V: Reliability Estimates  
Application VI: Validation  
Chapter 5: Factors Affecting the Size and Interpretation of the Pearson r
Shapes of Distributions  
Sample Size  
Restriction of Range  
Aggregate Samples  
Ecological Inference  
Measurement Error  
Third Variables  
Chapter 6: Other Useful Nonparametric Correlations
C and Cramér's V Coefficients  
Kendall's t Coefficient  
Kendall's tb and Stuart's tc Coefficients  
Goodman-Kruskal's g Coefficient  
Kendall's Partial Rank-Order Correlation,  
Lists of Tables
Lists of Figures
List of Appendixes
About the Authors

I need to see more examples... I understand the book needs to be brief...

Dr Christos Makrigeorgis
School Of Management, Walden University
April 17, 2013
Key features
  • -examines Pearson r from its conceptual meaning and to its assumptions
  • how to use the Pearson r in research (including effect size, power analysis, meta-analysis, utility analysis, reliability estimates and validation)
  • explains the factors that affect the Pearson r


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ISBN: 9780761922285

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