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kendall m rank correlation methods 5ed 1990

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Textbook in PDF format The measurement of rank correlation Introductory remarks Kendall tau coefficient Tau as a coefficient of concordance Tau as a coefficient of disarray Spearman’s rho Conjugate rankings Daniels’ inequality The Durbin-Stuart inequality Stragglers Notes and references Problems Introduction to the general theory of rank correlation The general correlation coefficient Tau as a particular case rS as a particular case Product-moment correlation as a particular case Proof of Daniels’ inequality Proof of the Durbin-Stuart inequality Spearman’s footrule Notes and references Tied ranks Calculation of t Calculation of rho Application to ordered contingency tables Notes and references Problems Tests of significance The significance of t P-values Continuity correction for S Ties The significance of rS Continuity correction for Σ d2 Tests in the non-null case Applications to time-series data Notes and references Problems Proof of the results of Chapter 4 Exact distribution of t in the null case Tendency of t to normality in the null case Distribution of rS in the null case Joint distribution of t and rS Corrections for continuity The non-null case More exact treatment in the non-null case rS in the non-null case Notes and references The problem of M ranking The significance of W Continuity correction for W Estimation Friedman test for randomised complete block designs Incomplete rankings Notes and references Problems Proof of the results of Chapter 6 Notes and references Partial rank correlation Notes and references Problems Ranks and variate values Concordances Relation between ranks and variate values Relation between t and parent correlation in the normal case Relation between ρS and ρ in the normal case Notes and references Proof of the results of Chapter 9 Correlation between ranks and variate values Concordance Notes and references Paired comparisons Coefficient of agreement Notes and references Proof of the results of Chapter 11 Notes and references Some further applications Estimation of population consensus Two group concordance Comparison of n ranking with a criterion ranking Uses of rank correlation in linear regression Power and efficiency of rank correlation methods Appendix tables Probability function of S and t (Kendall) Probability of Σ d2 (for rS) Probability function of the standard normal distribution Random rankings of 20 (random permutations of the first 20 natural numbers) Probability function of S (for Kendall’s coefficient of concordance) Significance points of S (for Kendalls coefficient of concordance) Significance points of Fisher’s z distribution Significance points of χ2 Probability function of d in paired comparisons Probability function of Σ (for u) Significance points of tXYZ (for Kendall’s partial rank correlation coefficients)

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