Preface |
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ix | |
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1 | (12) |
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What methods will this book cover? |
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2 | (2) |
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Exploring an interesting dataset |
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4 | (7) |
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A brief outline of the book |
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11 | (2) |
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Review of statistical concepts |
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13 | (30) |
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13 | (8) |
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13 | (2) |
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Data and the normal distribution |
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15 | (4) |
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Transforming to normality |
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19 | (2) |
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Some distributional properties |
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21 | (1) |
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21 | (3) |
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Confidence interval for the mean of a normal distribution; Student's t distribution |
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22 | (2) |
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24 | (6) |
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25 | (3) |
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28 | (2) |
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Chi-squared and F distributions |
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30 | (2) |
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30 | (1) |
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31 | (1) |
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Bernoulli, binomial and Poisson distributions |
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32 | (4) |
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The Bernoulli distribution |
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32 | (1) |
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The binomial distribution |
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33 | (1) |
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34 | (2) |
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Maximum likelihood estimation |
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36 | (2) |
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The central limit theorem |
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38 | (2) |
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Categorical and quantitative variables |
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40 | (3) |
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43 | (22) |
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43 | (6) |
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Loading, storing, retrieving and manipulating data |
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49 | (5) |
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54 | (6) |
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60 | (3) |
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Searching for help on a topic |
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60 | (1) |
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Genstat Language Reference |
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61 | (1) |
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62 | (1) |
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Some useful hints about GENSTAT |
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63 | (2) |
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Linear regression with one explanatory variable |
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65 | (38) |
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The simple linear regression model |
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65 | (6) |
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Fitting lines and making inferences |
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71 | (7) |
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Confidence intervals and prediction |
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78 | (5) |
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83 | (4) |
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87 | (6) |
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93 | (3) |
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96 | (1) |
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97 | (6) |
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One-way analysis of variance |
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103 | (34) |
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Regression with a continuous response variable and a categorical explanatory variable |
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103 | (7) |
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One-way ANOVA: data and model |
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110 | (6) |
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The completely randomized experiment |
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110 | (3) |
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The basic one-way analysis of variance model |
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113 | (3) |
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Testing for equality of means |
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116 | (7) |
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123 | (6) |
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Differences between treatments |
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129 | (5) |
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Planned comparisons and contrasts |
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129 | (4) |
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133 | (1) |
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134 | (3) |
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Multiple linear regression |
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137 | (32) |
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138 | (7) |
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Choosing explanatory variables |
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145 | (11) |
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Parallels with the case of one explanatory variable |
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156 | (3) |
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Using indicator variables I: comparing regression lines |
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159 | (4) |
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Using indicator variables II: analysis of variance |
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163 | (6) |
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The analysis of factorial experiments |
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169 | (28) |
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Two-way factorial analysis of variance |
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169 | (12) |
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The basics: main effects and interactions |
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169 | (8) |
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177 | (4) |
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181 | (5) |
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186 | (6) |
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Factorial ANOVA without replication |
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192 | (5) |
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Experiments with blocking |
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197 | (28) |
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197 | (11) |
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198 | (2) |
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More than two units per block |
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200 | (8) |
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More complicated blocking |
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208 | (7) |
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208 | (3) |
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211 | (4) |
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Factorial experiments with incomplete blocks |
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215 | (7) |
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216 | (3) |
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219 | (3) |
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222 | (3) |
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225 | (22) |
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226 | (6) |
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The logistic regression model |
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232 | (2) |
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Using the logistic regression model |
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234 | (7) |
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Exercises in logistic regression |
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241 | (6) |
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What are generalized linear models? |
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247 | (26) |
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247 | (5) |
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The generalized linear model |
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252 | (2) |
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254 | (6) |
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260 | (1) |
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Some more GLM applications |
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261 | (12) |
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261 | (4) |
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Toxoplasmosis and rainfall |
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265 | (1) |
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Survival of leukaemia patients |
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266 | (2) |
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268 | (5) |
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273 | (20) |
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273 | (5) |
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278 | (4) |
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Diagnostics for generalized linear models |
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282 | (9) |
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Residuals for generalized linear models |
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283 | (5) |
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Detection of observations with high leverage or influence |
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288 | (3) |
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Recommended use of model diagnostics |
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291 | (2) |
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Loglinear models for contingency tables |
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293 | (24) |
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Two-way contingency tables |
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294 | (3) |
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297 | (6) |
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Loglinear models in practice |
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303 | (10) |
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Logistic and loglinear models |
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313 | (4) |
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317 | (18) |
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317 | (4) |
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321 | (3) |
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Ground cover and apple trees |
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324 | (4) |
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328 | (7) |
Postscript |
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335 | (6) |
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335 | (1) |
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Smoothing: generalized additive models |
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336 | (2) |
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Censoring in survival data |
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338 | (3) |
Solutions to the Exercises |
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341 | (156) |
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343 | (2) |
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345 | (6) |
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351 | (8) |
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359 | (20) |
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379 | (12) |
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391 | (16) |
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407 | (14) |
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421 | (16) |
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437 | (12) |
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449 | (14) |
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463 | (12) |
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475 | (10) |
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485 | (12) |
Index of datasets |
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497 | (2) |
Subject index |
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499 | |