Volume II, Appendix C: page 1

Appendix

C STATISTICAL TABLES

Volume II, Appendix C: page 2

Normal Distribution

Table C-1. Cumulative Probabilities of the Standard Normal Distribution.

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Chi-Square Distribution

Table C-2. Percentiles of the χ2 Distribution

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Binomial Distribution

Table C-3. Binomial Distribution

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Table C-3 (Continued) Binomial Distribution

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Student’s Distribution (t Distribution)

Table C-4 Percentiles of the t Distribution

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Table C-4 (Continued) Percentiles of the t Distribution

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F Distribution

Table C-5 Percentiles of the F Distribution

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Table C-5 (Continued) Percentiles of the F Distribution

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Table C-5 (Continued) Percentiles of the F Distribution

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Table C-5 (Continued) Percentiles of the F Distribution

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Table C-5 (Continued) Percentiles of the F Distribution

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Table C-5 (Continued) Percentiles of the F Distribution

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Table C-5 (Continued) Percentiles of the F Distribution

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Quantiles of the Mann-Whitney Test Statistic

Table C-6 Quantiles of the Mann-Whitney Test Statistic

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Table C-6 (Continued) Quantiles of the Mann-Whitney Test Statistic

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Table C-6 (Continued) Quantiles of the Mann-Whitney Test Statistic

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Quantiles of the Kruskal-Wallis Test Statistics for Small Sample Sizes

Table C-7 Quantiles of the Kruskal-Wallis Test Statistic for Small Sample Sizes

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Quantiles of the Wilcoxon Signed Rank Test Statistic

Table C-8 Quantiles of the Wilcoxon Signed Ranks Test Statistic

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Table C-8 (Continued) Quantiles of the Wilcoxon Signed Ranks Test Statistic

For n larger than 50, the pth quantile wp of the Wilcoxon signed ranked test statistic may be

approximated by ( ) ( ) ( )1 1 2 1

4 24p p

n n n n nw x

+ + + = =

, where xp is the pth

quantile of a standard normal random variable, obtained from Table C-1.

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Quantiles of Kendall’s Test Statistic

Table C-9 Quantiles of the Kendall's Test Statistic

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Table C-9 (Continued) Quantiles of the Kendall's Test Statistic

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Quantiles of the Kilmogorov Test Statistic

Table C-10 Quantiles of the Kilmogorov Test Statistic

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Quantiles of the Smirnov Test Statistic for Two Samples of Equal Size

Table C-11 Quantiles of the Smirnov Test Statistic for Two Samples of Equal Size, n

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Quantiles of the Smirnov Test Statistic for Two Samples of Different Size

Table C-12 Quantiles of the Smirnov Test Statistic for Two Samples of Different Size, n and m

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Table C-12 (Continued) Quantiles of the Smirnov Test Statistic for Two Samples of Different Size, n and m