Statistical methods are becoming more important in all biological fields of study. Biometry deals with the application of mathematical techniques to the quantitative study of varying characteristics of organisms, populations, species, etc. This book uses examples based on genuine data carefully chosen by the author for their special biological significance. The chapters cover a broad spectrum of topics and bridge the gap between introductory biological statistics and advanced approaches such as multivariate techniques and nonlinear models. A set of statistical tables most frequently used in biometry completes the book.
Author(s): Pierre Jolicoeur (auth.)
Edition: 1
Publisher: Springer US
Year: 1999
Language: English
Pages: 517
Tags: Probability Theory and Stochastic Processes; Statistics, general; Epidemiology; Human Genetics
Front Matter....Pages i-x
Introduction....Pages 1-2
Looking at quantitative biological data through scatter diagrams....Pages 3-5
Samples and populations, estimates and parameters....Pages 6-8
Frequencies and probabilities....Pages 9-19
Measures of central tendency and of dispersion....Pages 20-29
The normal distribution....Pages 30-35
The distribution of Student’s t ....Pages 36-37
The distribution of χ 2 (chi squared)....Pages 38-39
Hypothesis testing and confidence intervals concerning one or two means....Pages 40-41
Hypothesis testing and confidence intervals concerning one variance....Pages 42-62
Hypothesis testing and confidence intervals concerning a variance ratio....Pages 63-66
The analysis of variance or “ANOVA” (one-way, type I)....Pages 67-70
The skewness and peakedness indices, g 1 and g 2 ....Pages 71-81
The lognormal distribution....Pages 82-88
Testing hypotheses concerning frequency tables using the χ 2 distribution....Pages 89-93
Tests of goodness of fit....Pages 94-101
The binomial distribution....Pages 102-107
The Poisson distribution....Pages 108-123
The bivariate normal distribution and the correlation coefficient, r ....Pages 124-133
Estimation lines (the so-called “regression” lines)....Pages 134-149
The analysis of covariance or “ANCOVA”: comparing estimation lines....Pages 150-169
The orthogonal estimation line or major axis ....Pages 170-176
The trivariate normal distribution: partial and multiple correlations and regressions....Pages 177-187
Elementary linear calculations (vectors and matrices)....Pages 188-196
Partial and multiple correlations and regressions: matrix calculations....Pages 197-212
One-way type I analysis of variance with contrasts....Pages 213-222
One-way type II analysis of variance with variance components....Pages 223-231
Two-way type I analysis of variance with interaction....Pages 232-241
The multivariate normal distribution....Pages 242-252
The distribution of Hotelling’s T 2 ....Pages 253-265
Principal components or principal axes ....Pages 266-279
Fisher’s linear discriminant function....Pages 280-302
Multiple discriminant analysis....Pages 303-308
Canonical correlations....Pages 309-333
Growth curves and other nonlinear relationships....Pages 334-344
Back Matter....Pages 345-386
....Pages 387-517
