Biometry

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Macmillan, 1995 - Mathematics - 887 pages
2 Reviews
Some Definitions. The development of biometry. The statistical frame of mind. Data in biology. Samples and populations. Variables in biology. Accuracy and precision of data. Derived variables. Frequency distribuitions. The handling of data. Computers. Software. Efficiency and economy in data processing. Descriptive statistics. The arithmetic mean. Other means. The median. The mode. The range. The standard deviation.Sample statistics and parametrs. Coding data before computation. Computing means and standard deviations. The coefficient of variation. Introduction to probability distribution: Binomial and poison. probability, random sampling, and hypothesis testing. the binomial distribuition. The poisson distribuition. Other discrete probability distributions. The normal probability distribuition. Estimation and hypothesis testing. introduction to the analysis of variance. Single-classification analysis of variance. Nested analysis of variance. Two-way analysis of variance. Multiway analysis of variance. Assumptions of analysis of variance. A fundamental assumption. Independence. Homogeneity of variances. Normality. Additivity. Transformations. The logarithmic, the square-root, the box-cox and the arcsine transformation. Nonparametric methods in lieu of single-classification anovas and two-way anova. Linear regression. Correlation. Multiple and curvilinear regression. Analysis of frequencies. Miscellaneous methods. Mathematical proofs.
  

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Contents

INTRODUCTION
1
DATA IN BIOLOGY
8
THE HANDLING OF DATA
33
l DESCRIPTIVE STATISTICS
39
THE NORMAL PROBABILITY DISTRIBUTION
98
ESTIMATION AND HYPOTHESIS TESTING
127
INTRODUCTION TO THE ANALYSIS
179
SINGLECLASSIFICATION ANALYSIS
207
ASSUMPTIONS OF ANALYSIS OF VARIANCE
392
Ul LINEAR REGRESSION
451
CORRELATION
555
MULTIPLE AND CURVILINEAR REGRESSION
609
ANALYSIS OF FREQUENCIES
685
MISCELLANEOUS METHODS
794
MATHEMATICAL PROOFS
833
BIBLIOGRAPHY
850

NESTED ANALYSIS OF VARIANCE
272
TWOWAY ANALYSIS OF VARIANCE
321
MULTIWAY ANALYSIS OF VARIANCE
369

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