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# Statistical Tables

## Fourth Edition| ©2013 F. James Rohlf; Robert R. Sokal

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 t...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

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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

Features

New to This Edition

**
Statistical Tables**

Fourth Edition| ©2013

F. James Rohlf; Robert R. Sokal

# Digital Options

**Statistical Tables**

Fourth Edition| 2013

F. James Rohlf; Robert R. Sokal

## 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

## Authors

### F. James Rohlf

**F. James Rohlf** has taught a graduate-level course on Biometry at the University of California at Santa Barbara, the University of Kansas, and at Stony Brook University in addition to courses on multivariate statistics and geometric morphometrics. He has also taught many short courses and intensive workshops on statistical topics at many institutions around the world. He received his Ph.D. degree from the University of Kansas in 1962. Dr. Rohlf’ research has focused on the development and interpretation of multivariate methods in biology – especially for geometric morphometric applications in ecological and evolutionary studies. His original research has been published journals such as Systematic Biology, Evolution, Journal of Human Evolution, Journal of Classification, and the American Journal of Physical Anthropology. He is a statistical reviewer for a large number of journals as well as for granting agencies in several countries. He is a fellow of the American Association for the Advancement of Science and of the American Academy of Arts and Sciences. Presently, Dr. Rohlf is a John S. Toll Professor at Stony Brook University and a member of the New York Consortium in Evolutionary Primatology.

### Robert R. Sokal

**Robert R. Sokal** has taught biometry and related courses for almost half a century at the University of Kansas, at Stony Brook, and abroad. In both his teaching and research, he has promoted the use of statistics in biology. A native of Vienna, Austria, he went to high school and college in Shanghai, China, where he obtained a bachelor’s degree in biology at St. John’s University. Graduate studies in zoology at the University of Chicago led to a Ph.D. in 1952. He spent 18 years as a faculty member in Entomology at the University of Kansas, joining the then new department of Ecology and Evolution at Stony Brook in 1968. His research has ranged over a diverse group of topics: quantitative methods in systematics (numerical taxonomy), ecological genetics of laboratory populations, spatial analysis of distributions of organisms and their genes, and in recent years, statistical approaches to problems in physical anthropology. Including translated volumes, he has published 15 books, and over 200 articles. Dr. Sokal was elected President of four international scientific societies and an honorary member of several others. He is a member of the U.S. National Academy of Sciences and a fellow of the American Academy of Arts and Sciences and of the American Association for the Advancement of Science. He was also awarded the Charles Darwin Lifetime Achievement Award in Physical Anthropology. Currently, he is a Distinguished Professor Emeritus at Stony Brook University.

**Statistical Tables**

Fourth Edition| 2013

F. James Rohlf; Robert R. Sokal

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