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