# Statistical Tables

## Fourth EditionF. James Rohlf; Robert R. Sokal

©2013
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This separate compendium of tables used with Sokal/Rohlf,

*Biometry,*Fourth Edition, eliminates the inconvenience of having to turn back and forth within the text to refer to data. Each table is accompanied by a brief explanation, a description of how to look up a value in the table, and a reference to the section or sections in*Biometry*, Fourth Edition.*Statistical Tables*, Fourth Edition can also be used with other texts, or as an independent research resource.

To package

*Statistical Tables*with*Biometry*, Fourth Edition, use:ISBN-10: 1-4641-1519-2

ISBN-13: 978-1-4641-1519-6

ISBN-13: 978-1-4641-1519-6

## Table of Contents

Preface

Notes on the Fourth Edition

Introduction: Interpolation

**A.**Areas of the normal curve

**B.**Critical values for Student’s

*t*-distribution

**C.**Critical values for Student’s

*t*-distribution based on Šid‡k’s multiplicative inequality

**D.**Critical values for the chi-square distribution

**E.**Critical values for the chi-square distribution based on Sid‡k’s multiplicative inequality

**F.**Critical values for the

*F*-distribution

**G.**Critical values for

*F*max

**H.**Rankits (normal order statistics)

**I.**Mean ranges of samples from a normal distribution

**J.**Critical values for the studentized range

**K.**Critical values for Welsch’s step-up procedure

**L.**Critical values for the studentized augmented range

**M.**Critical values for the studentized maximum modulus distribution

**N.**Shortest unbiased confidence limits for the mean from a Poisson distribution

**O.**Shortest unbiased confidence limits for the variance

**P.**Shortest unbiased confidence limits for proportions

**Q.**Critical values for tests of proportions

**R.**Critical values for the correlation coefficient

**S.**Critical values for Kendall’s rank correlation coefficient

*t*

**T.**Critical values for Olmstead and Tukey’s test criterion

**U.**Critical values for the Mann–Whitney statistic,

*U*

**V.**Critical values for the Wilcoxon rank sum

**W.**Critical values for the two-sample Kolmogorov–Smirnov statistic

**X.**Critical values for the

*d*-corrected one-sample Kolmogorov–Smirnov statistic for goodness of fit to distributions with specified parameters

**Y.**Critical values for the

*d*-corrected one-sample Kolmogorov–Smirnov statistic for goodness of fit to distributions with parameters estimated from the sample data

**Z.**Critical values for Page’s test

**AA.**Critical values for the number of runs

**BB.**Critical values for runs up and down

**CC.**Critical values for testing outliers (according to Dixon)

**DD.**Critical values for testing outliers (according to Grubbs)

**EE.**Orthogonal polynomials

**FF.**Ten thousand random digits

**GG.**Power and sample size graphs for anova

**HH.**Critical values for |1 –

*?*/2|, a test of serial independence

**II.**

*Cn*: Gurland and Tripathi’s correction for the standard deviation

**JJ.**Power and sample size graphs for goodness of fit and tests of independence

**KK.**Power and sample size graphs for correlations

**LL.**Coefficients,

*ai*, for the Shapiro-Wilk test

**MM.**Critical values for the Shapiro-Wilk test

**NN.**Critical values for the Spearman rank correlation,

*rs*

**OO.**Critical values for the one-sided Dunnett’s test

**PP.**Critical values for the two-sided Dunnett’s test

**QQ.**Critical values for the maximum studentized range

**RR.**Some mathematical constants