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9780803946644

Nonparametric Measures of Association

by
  • ISBN13:

    9780803946644

  • ISBN10:

    0803946643

  • Format: Paperback
  • Copyright: 1993-02-25
  • Publisher: Sage Publications

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Summary

When analyzing data, how should the relationship between two or more sets of observations be described, that is, values of two or more variables, when the variables are ordinal and not bivariate normal? Aimed at helping the researcher select the most appropriate measure of association for two or more variables, the author clearly describes such techniques as Spearman's rho, Kendall's tau, Goodman and Kruskals' gamma and Somer's d and carefully explains the calculation procedures as well as the substantive meaning of each measure. In addition, each technique is illustrated by one or more examples from recent social or behavioural science studies. Finally, Gibbons provides information on the strengths and weaknesses of leading statistical packages for calculating these measures.

Table of Contents

Series Editor's Introduction v
Introduction
1(2)
Spearman's Rho and Kendall's Tau as Descriptive Measures of Association
3(13)
Example 2.1
5(4)
Solution to Example 2.1: Spearman's Rho
6(3)
Example 2.2
9(7)
Solution to Example 2.2: Spearman's Rho
10(4)
Solution to Example 2.1: Kendall's Tau
14(1)
Solution to Example 2.2: Kendall's Tau
15(1)
Inferences Based on Rho and Tau
16(13)
Example 3.1
18(7)
Solution to Example 3.1: Rho and Tau
19(6)
Example 3.2
25(4)
Solution to Example 3.2: Rho and Tau
26(3)
Kendall's Coefficient of Concordance
29(19)
Example 4.1
32(4)
Solution to Example 4.1: Kendall's Coefficient of Concordance
32(4)
Example 4.2
36(8)
Solution to Example 4.2(a): Kendall's Coefficient of Concordance
37(3)
Solution to Example 4.2(b): Kendall's Tau and Spearman's Rho
40(4)
Example 4.3
44(4)
Solution to Example 4.3: Kendall's Coefficient of Concordance
44(4)
Partial Correlation
48(12)
Example 5.1
50(6)
Solution to Example 5.1: Partial Tau
51(5)
Example 5.2
56(4)
Solution to Example 5.2: Partial Tau
56(4)
Measures of Association in Ordered Contingency Tables
60(21)
Example 6.1
62(2)
Solution to Example 6.1: Spearman's Rho
63(1)
Example 6.2
64(12)
Solution to Example 6.2: Kendall's Tau
66(10)
Example 6.3
76(5)
Solution to Example 6.3: Kendall's Tau
77(4)
Summary
81(1)
Appendix A: Tables 82(12)
Table A. Normal Distribution
82(2)
Table B. Spearman's Rank Correlation Distribution
84(3)
Table C. Kendall's Tau Distribution
87(2)
Table D. Kendall's Coefficient of Concordance Distribution
89(2)
Table E. Chi-Square Distribution
91(2)
Table F. Critical Values of τxy.z (for Kendall's Partial Rank Correlation Coefficient)
93(1)
Appendix B: Further Reading 94(1)
References 95(2)
About the Author 97

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