Applied Nonparametric Statistics

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9780534381943: Applied Nonparametric Statistics
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This book covers the most commonly used nonparametric statistical techniques by emphasizing applications rather than theory. Exercises and examples are drawn from various disciplines including agriculture, biology, sociology, education, psychology, medicine, business, geology, and anthropology. The applications of techniques are presented in a step-by-step format that is repeated for all illustrative examples. Concepts are reinforced with many references to statistical literature to show the relevance to real-world problems. Chapters contain references of available computer programs and software packages that apply to methods presented in the book.

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1. INTRODUCTION AND REVIEW Some important terminology / Hypothesis testing / Estimation / Measurement scales / Nonparametric statistics / Availability and use of computer programs in nonparametric statistical analysis / Scope of this book / Format and organization / References 2. PROCEDURES THAT UTILIZE DATA FROM A SINGLE SAMPLE Making inferences about a location parameter / Making inferences about a population proportion / One-sample runs test for randomness / Cox-Stuart test for trend / Computer programs / Review exercises / References 3. PROCEDURES THAT UTILIZE DATA FROM TWO INDEPENDENT SAMPLES Making inferences about the difference between two location parameters / Making inferences about the equality of two dispersion parameters / Some miscellaneous two-sample tests / Computer programs / Review exercises / References 4. PROCEDURES THAT UTILIZE DATA FROM TWO RELATED SAMPLES Procedures for testing hypotheses about location parameters / Confidence interval procedures for the median difference / Test for two related samples when data consist of frequencies / Computer programs / Review exercises / References 5. CHI-SQUARE TESTS OF INDEPENDENCE AND HOMOGENEITY Mathematical properties of the chi-square distribution / Chi-Square test of independence / Chi-square test of homogeneity / Miscellany / Computer programs / Review exercises / References 6. PROCEDURES THAT UTILIZE DATA FROM THREE OR MORE INDEPENDENT SAMPLES Extension of the median test / Kruskal-Wallis one-way analysis of variance by ranks / Jonckheere-Terpstra test for ordered alternatives / Multiple comparisons / Computer programs / Review exercises / References 7. PROCEDURES THAT UTILIZE DATA FROM THREE OR MORE RELATED SAMPLES Friedman two-way analysis of variance by ranks / Multiple-comparison procedure for use with Friedman test / Page's test for ordered alternatives / Durbin test for incomplete block designs / Cochran's test for related observations / Computer programs / Review exercises / References 8. GOODNESS-OF-FIT TESTS Chi-square goodness-of-it test / Kolmogorov-Smirnov one-sample test / Kolmogorov-Smirnov two-sample test / Confidence band for the population distribution function / Chi-square and Kolmogorov-Smirnov goodness-of-fit tests: a comparison / Other goodness-of-fit tests / Computer programs / Review exercises / References 9. RANK CORRELATION AND OTHER MEASURES OF ASSOCIATION Spearman rank correlation coefficient / Kendall's tau / Confidence interval for tau / Olmstead-Tukey corner test of association / Kendall's coefficient of concordance W / Partial rank correlation / Measures of association for contingency tables / Other measures of association / Computer programs / Review exercises / References 10. SIMPLE LINEAR REGRESSION ANALYSIS Fitting the Regression Line / Testing the hypothesis about alpha and beta / Confidence interval for slope coefficient / Test for parallelism of two regression lines / Estimator and confidence interval for difference between slope parameters / Computer programs / Review exercises / References / APPENDIX: TABLES / SOLUTIONS TO ODD-NUMBERED EXERCISES / INDEX

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