Introduction to Biometry

1 Looking at quantitative biological data through scatter diagrams.- 2 Samples and populations, estimates and parameters.- 3 Frequencies and probabilities.- 4 Measures of central tendency and of dispersion.- 5 The normal distribution.- 6 The distribution of Student’st.- 7 The distribution of?2(chi squared).- 8 The distribution of the variance ratio, F = S12/S12.- 9 Hypotheses and confidence intervals concerning one or two means.- 10 Hypotheses and confidence intervals concerning one variance.- 11 Hypotheses and confidence intervals concerning a variance ratio.- 12 The analysis of variance or “ANOVA” (one-way, type I).- 13 The skewness and peakedness indicesg1andg2.- 14 The lognormal distribution.- 15 Testing hypotheses concerning frequency tables using the X2 distribution.- 16 Tests of goodness of fit.- 17 The binomial distribution.- 18 The Poisson distribution.- 19 The bivariate normal distribution and the correlation coefficient, r.- 20 Estimation lines (the so-called “regression” lines).- 21 The analysis of covariance or “ANCOVA”: comparing estimation lines.- 22 The orthogonal estimation line or major axis.- 23 The trivariate normal distribution: partial and multiple correlations and regressions.- 24 Elementary linear calculations (vectors and matrices).- 25 Partial and multiple correlations and regressions: matrix calculations.- 26 One-way type I analysis of variance with contrasts.- 27 One-way type II analysis of variance with variance components.- 28 Two-way type I analysis of variance with interaction.- 29 The multivariate normal distribution.- 30 The distribution of Hotelling’sT2.- 31 Principal components orprincipal axes.- 32 Fisher’s linear discriminant function.- 33 Multiple discriminant analysis.- 34 Canonical correlations.- 35 Growthcurves and other nonlinear relationships.- Appendices.- The statistical tables most frequently used in biometry.- The standardized normal distribution.- The distribution of x (chi squared).- Detailed table of contents.- Author index.