Introduction to Biometry

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