How to Choose and Construct Models for the Life Sciences
Omschrijving
A concise introduction to the principles of analysis of variance and covariance with worked examples. It bridges the gap between statistical theory and practical data analysis by presenting a comprehensive set of tables for all standard models of analysis of variance and covariance. An essential reference for post-graduates and professionals. Preface
ix
Introduction to analysis of variance
1(41)
What is analysis of variance?
1(1)
How to read and write statistical models
2(5)
General principles of ANOVA
7(7)
Assumptions of ANOVA
14(2)
How to distinguish between fixed and random factors
16(5)
Nested and crossed factors, and the concept of replication
21(4)
Uses of blocking, split plots and repeated measures
25(4)
Uses of covariates
29(6)
How F-ratios are constructed
35(3)
Use of post hoc pooling
38(2)
Use of quasi F-ratios
40(2)
Introduction to model structures
42(195)
Notation
43(1)
Allocation tables
43(3)
Examples
46(1)
Worked example 1: Nested analysis of variance
47(2)
Worked example 2: Cross-factored analysis of variance
49(2)
Worked example 3: Split-plot, pooling and covariate analysis
51(6)
Key to types of statistical models
57(1)
How to describe a given design with a statistical model
58(3)
One-factor designs
61(6)
One-factor model
62(5)
Nested designs
67(9)
Two-factor nested model
68(4)
Three-factor nested model
72(4)
Fully replicated factorial designs
76(39)
Two-factor fully cross-factored model
78(8)
Three-factor fully cross-factored model
86(12)
Cross-factored with nesting model
98(11)
Nested cross-factored model
109(6)
Randomised-block designs
115(26)
One-factor randomiscd-block model
121(7)
Two-factor randomised-block model
128(6)
Three-factor randomised-block model
134(7)
Split-plot designs
141(38)
Two-factor split-plot model (i)
146(4)
Three-factor split-plot model (i)
150(4)
Three-factor split-plot model (ii)
154(4)
Split-split-plot mode! (i)
158(5)
Split-split-plot model (ii)
163(4)
Two-factor split-plot model (ii)
167(3)
Three-factor split-plot model (iii)
170(3)
Split-plot model with nesting
173(3)
Three-factor split-plot model (iv)
176(3)
Repeated-measures designs
179(50)
One-factor repeated-measures model
187(3)
Two-factor repeated-measures model
190(5)
Two-factor model with repeated measures on one cross factor
195(5)
Three-factor model with repeated measures on nested cross factors
200(5)
Three-factor model with repeated measures on two cross factors
205(9)
Nested model with repeated measures on a cross factor
214(6)
Three-factor model with repeated measures on one factor
220(9)
Unreplicated designs
229(8)
Two-factor cross factored unreplicated model
230(2)
Three-factor cross factored unreplicated model
232(5)
Further Topics
237(11)
Balanced and unbalanced designs
237(5)
Restricted and unrestricted mixed models
242(2)
Magnitude of effect
244(1)
A priori planned contrasts and post hoc unplanned comparisons
245(3)
Choosing experimental designs
248(10)
Statistical power
248(2)
Evaluating alternative designs
250(8)
How to request models in a statistics package
258(2)
Hest practice in presentation of the design
260(4)
Troubleshooting problems during analysis
264(7)
Glossary
271(10)
References
281(3)
Index of all ANOVA models with up to three factors
284(2)
Index
286(2)
Categories of model
288
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