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| Galwey N.V. — Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance |
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| Предметный указатель |
Absorbing factor 352
Accumulated analysis of deviance 289—291
Accumulated anova 13 15 16 20 64
AI See Algorithm average
Algorithm, average information (AI) 19 20 25 81 98 144 199 201 216 217 256 267 321 323 352
Algorithm, fisher scoring 223 352 353
Algorithm, sparse 19 20 25 58 81 98 144 199 216 217 256 267 321
Aliasing, partial 12 183 231
Analysis of deviance 289 290
Analysis of variance 8 9 14—15 24—25 40 43 47—57 64 68 72 76 118—120 139 141 143 146 164 176—177 239 243 244 248 251 253 255 256 271 272
anova 8 13—16 20 32 40 45 52—56 64 66 67 76—78 80 81 85 103 109 110 114 115 117 125 131 133 138—140 150—152 172 176 178 183 185 191 212 229 233 275 289 290 297 304 320 323
ANOVA table See Anova
AR model See Model autoregressive
Array 263 265 272 317 327
Assay 73 84 87 115 117 119
Asterisk 30 92 110 111
Average information (AI) 19 20 25 58 60 98 144 199 201 216 217 223 267 321 323 352 353
balance 52 59 64 78 93 98 99 110 139 140 172 185 191 251 255 267 269 271 272 276
Best linear unbiased estimate (BLUE) 154 276
Best linear unbiased predictor (BLUP) 154 276
Bias 61 120 166
Block 45 46 52 56—58 61 65 67 68 76 80 87 92 93 95 97 98 100 106 109 110 115 117 139 141 146 150—152 162 169 173 174 180—183 185 191 239 242—244 246 247 253 254 256 257 261—264 271—273 276 320 325 326
Block, complete 61 67 244 251 269 320 325
Block, incomplete 45 46 185 251 254 257 261 262 269 271 272 276
Block, term See Term block
blue See Best linear unbiased estimate (BLUE)
BLUP See Best linear unbiased predictor (BLUP)
Breeding line 87 92 95—100 102 117 118 151 153—158 162—164 173 276 320
Breeding value 314 315
Case study 193
Central limit theorem 62
Chi-square See Distribution chi-square
Chi-square distribution See Distribution chi-square
Chi-square statistic See Distribution chi-square
Chi-square test See Distribution chi-square
Chromosome 316
Clinical trial 185—187
Confidence interval 149
Constant 7 9 18 20 27 29 30 62 66 78 83 98 101 107 111 113 118 127 130 140 150 156 157 207 214 249 289 292 293 301 325
Contingency table 285 327
Convergence 283 294 297 313
Correlation 31 180 211 261 271 323 325—327
Covariance 158 284 303—309 314 317 323—325 327
Critical region 134 135 137
Crossed term See Term crossed
Curve of convenience 208
Curve, logistic 276
Curve, sigmoidal 279
Data, grouped 113 151 172
Data, padded 94 103 110
Data, set 1 2 8 9 27 39 73 95 96 109 125 139 140 165 176 189 191—193 238 242 285 287 294 313 315 328
Data, unbalanced 96 110 140
Degrees of freedom (df) 8 10 11 26—28 39 57 60 62 66 79 80 86 95 101 103 133 134 149 180 183 187 201 225 232 290
Design, alpha 262 263 265 272 273 276
Design, alphalpha 265 269 272 276 330 331
Design, analysis of See Analysis of deviance
Design, balanced incomplete block 251 261 262 271 272 276
Design, fully randomised 45 67 151
Design, incomplete block 45 46 185 254 257 271
Design, randomised complete blcok 251 244 320
Design, split plot 45 46 57 61 67 68 77 95 146 150 172 173 247 251
Deviance 60 101—103 112 113 118 202 222 289 290 294 297 301 313
df See Degrees of freedom (DF)
Direct product 320 323
dispersion 283 284 290 301
Distribution, binomial 277 278 281 282 327
Distribution, bivariate-normal 158
Distribution, chi-square 19 25 26 59 145 178 199 256 322
Distribution, F 8 9 26
Distribution, gamma 298 327
Distribution, normal 8 16 27 100 104 108 277 298 300 301
Distribution, Poisson 286 287 289 290 298 327
Distribution, standard normal 107 133
Distribution, t 7 9 133—137 149 282 289 301
Effect, block 45 61 67 106 115 141 151 174 181 182 185 191 272
Effect, carry-over 186
Effect, crossover 55
Effect, deviation 14
Effect, fixed 16 32 73 117 125 126 191 196 215 261 351
Effect, genetic 315 316
Effect, interaction 51 109 181 186 284
Effect, main 51 53 55 57 170 174 186 189 290
Effect, random 1 16 31 45 62 67 103 239 323
Effect, residual 8 51 117
Effect, treatment 53 68 130 141 185 262 317
Efficiency factor 254 271
Estimate, best linear unbiased See Best linear
Estimate, initial 351 352
Estimate, interval 125 126 148
Estimate, maximum likelihood 294 334 342 352
Estimate, parameter 5 9 13 20 51 82 148 204 333
Estimate, point 125 126 148
Estimate, residual maximum likelihood (REML) 333
Estimate, restricted maximum likelihood (REML) See Estimate residual
Estimate, shrunk 154 155 164 316
Estimate, unbiased 336 351 352
Estimate, unbiased estimate (BLUE) biased 61
Excel 29 34 63 85 109 110 147 178 229 259 269
exclamation mark (!) 2 29 64 85 109 147 178 209 229 259 269
Expected mean square See Mean square expected
Expected value 8 79 96 159 162
Experimental design See Design
f See Distribution F
F distribution See Distribution F
F statistic See Distribution F
F test See Distribution F
Factor 2 13 53 81 95 111 120 140 151 173 174 189 191 194 196 216 275 285 Factor309
Factor level 140 150 164 173 185 291 303
Fitted line See Line of
Fitted value 9 27 104 204 210 300 348
Fixed-effect term See Term fixed-effect
Function, logistic 280 281
Function, logit 281 282
Function, probit 281
Gamma distribution See Distribution gamma
Gamma parameter 297
Gene 308
Genetic advance 106 109 118 153 164
Genetic improvement 105 314
Genetic map 316
Genetic marker 316
Genetic variation 87 108 316
Genotype x environment interaction 214
GENSTAT 6 9 16 20 27 30 32 37 40 54 65 66 76 77 81 86 97 98 102 112 113 131 136 163 176 204 216 232 260 263 271 298
GLMM See Model generalised
Graphical user interface (GUI) 6 40
Group of observations 43 52
GUI 7 See
Heritability 87 105 106 109 117 120 314
HGLM See Model hierarchical
Hierarchical structure 77
histogram 27 33 62 63 104 197 300
Hypothesis, null See Null hypothesis
i See Selection intensity
Imbalance 92 272
Inference 16 173 174 183 275
information 6 7 29 53 77 117 127 140 156 162 172 185 191 208 255 306 309 313 316 325
Information summary 254
Information, inter-block 185 255
Interaction 46 51 109 174 181 189 191 243 290 309
intercept 5 8 9 11 30 111 125 126 163 190 213 261 271
Intrinsic interest 51 151 164 173 275
Lack of fit 17 18
Least significant difference (LSD) 137 149
Likelihood 294
Likelihood, maximum 294 333 334 351 352
Likelihood, ratio 60 67
Likelihood, residual maximum See Residual maximum likelihood (REML)
Line of best fit 5 8 9 14 20 43 44 159 227 237 348
Line regression 1 9—11 16 17 160 161 277
| Link function 281 282 292 297 298 329
Link function, canonical 281
Link function, identity 298 301
LSD See Least significant difference (LSD)
Main plot 45 46 67 68 131 247
Marginality criterion 200
Matrix 110 263
Matrix, algebra 306
Matrix, covariance 284 303 307 323
Matrix, identity 307
Matrix, inverse 309
Matrix, leading diagonal of 305
Matrix, relationship 309
Matrix, sparse 352
Mean square 14 17 78 86 172 183 213
Mean square, expected 78 80 115 175 297
Mean square, stratum 78
Mean, adjusted 153
Mean, combined 254
Mean, comparison between 131
Mean, grand 107 140
Mean, overall 98 156
Mean, population 315
Mean, sample 13 173
Mean, simple 152 255
Mean, treatment 61 95 125 138 154 185 255
Mean, unadjusted 156 158 272
Merlin 317
Missing value 92 95 96 110 210 282 297
Mixed modelling 1 16 40 67 92 118 175 239 251 256 262 271 275 352
Mixed-model analysis 17 18 31 59 98 110 114 125 127 144 146 153 172 191 239 257 269 275
Model feature 170
Model notation 53
Model, autoregressive 323 327 331
Model, best-fitting 204 213
Model, full 60 101—103 214
Model, generalised linear 281 285
Model, generalised linear mixed 282
Model, hierarchical generalised linear 298
Model, linear 29 277 281 284 288 329 338
Model, mixed 16 33 45 58 67 104 151 169 200 251 277
Model, polynomial 172 200
Model, reduced 60 101 202
Model, regression 2 6 16 39 52
Model, stratified generalised linear 298
Monitoring information 282 283 293 295 301
ms See Mean square
Na 209
Nested term See Term nested
Non-linearity 31 194 239
Notation model See Model notation
Null hypothesis 8 26 66 96 99 100 102 137 144 285
Observation, unique 216
Optimum strategy 82—85
Orthogonality 59 350
Outlier 27 43 63 193 197
P value 8 9 15 16 20 26 27 30 32 39 43 55 59 60 62 65 67 68 77 103 118 136 289 290
PARAMETER 5—7 9 12—14 16 18 20 24 51 58 82 125 126 134 138 148 203 204 206 239 263 277 287—291 293 294 301 309 311 313 323 325 333 334 345 347 351—353
Parameterisation 204 213
Pedigree 307—309 316 320 323 327 329
Plot, diagnostic 27 32 33 40 62 66 67 104 120 193 196 197 202 209 239 243 244 298 301 329
Plot, fitted value 104
Plot, half-normal 27 32 66 104 197 210
Plot, normal 27 33 104 197 298
Plot, quantile-quantile 33
Population 6 8 16 40 61 73 97 105 118 120 125 151 154 156 160 164—166 173 174 183 187 196 286 293 308 328 336 342
Population, infinite 8 40 61 125 173 174 191 336 342
Power, statistical 257 271
PRECISION 9 12 16 20 52 59 73 81 82 99 102 125 127 129—131 133 140 147 149 156 183 185 194 245 251 254 255 262 265 269 293 317 320 326
Predicted value 108 118 193 204 206 213 244 247
Prediction 87 118 158 160—162 164 173 206—209 276 291 292
Prediction, classifying factor for 207
Prediction, marginal factor for 293
Prediction, parallel terms 206
probability 6—8 79 80 102 136 278 279 287 288 294 334 352
probability density 6 8 157 158 334 342
Proband 196 209 210
Probit analysis 279 281
Procrustes analysis 55
Pythagoras's theorem 339
Q-Q plot See Plot quantile-quantile
QTDT See Quantitative transmission disequilibrium test
Quantile 33 107 298
Quantitative transmission disequilibrium test 317
Random-effect term See Term random-effect
Randomisation 46 47 61 186 242 263 320
Recovery of inter-block information See Information inter-block
Regression analysis 1 2 18 20 23—25 30 43 45 64 67 125 127 129 130 151 159 164 172 183 191 218 289—290 294
Regression towards the mean 156 164
REML See Residual maximum likelihood (REML)
REPLICATE 45 46 106 181 186 263 265 269 272 273 323
Residual maximum likelihood (REML) 18
Restricted maximum likelihood See Residual maximum likelihood (REML)
rows and columns 265 267 269 272 323
S-Plus 29
Sample 2 8 16 21 28 39 40 61 73 82 103 117—120 156 162 173 174 192 196 206 207 277 279 281 284 334 336 338 350 352 353
Sample space 339 345 346 351
Sample, random 97 125 173 174 186 191 308
SAS 275
SD See Standard deviation
SE of difference 55 63 140 141 144 145 203 257 293
SE of mean 141 145
Selection 34 107 109 118 153 164 314
Selection, intensity of 106
Shrinkage of BLUPs 156 160 161 164
Significance test 27 40 100 103 104 135 183 187 191 271 290
slope 5 9 11 16 18 125 130 172 191
Software 6 29 30 77 136 176 269 275
Spline, smoothing 327
Spreadsheet 2 10 29 40 46 73 87 92 110 141 165 176 194 205 214 244 251 265 277 285 309 328
SS See Sum of squares
Standard deviation 86 112 114 334
Standard error See SE
Stratum 1 53 61 77 78 172 183 254 303
Structure 31 51 187 217 293 311
Structure, block 45 67 239 254 262
Structure, hierarchical 77
Structure, treatment 72 239 243
Sub-plot 45 46 67 68 131 149 247
Sufficient statistic 281
Sum of squares 5 8 86 96 350
t See Distribution t
t distribution See Distribution t
t statistic See Distribution t
t test See Distribution t
Term, block 65 68 97 98 106 146 162 173 180 251 253 262
Term, choice of in random-effect model 185
Term, crossed 201
Term, fixed-effect 18 20 25 40 67 73 81 146 152 163 165 172—175 182 186 187 189 191 196 251 288 293 295 297 309 329 333 345
Term, interaction 55 170 172 174 181—183 187 191 229 289 291 309
Term, main effect 187 200
Term, model 15 16 40 52 53 57 77 92 119 136 149 169 183 206 235 284 289 295 323 329 345
Term, nested 174 191 200 201
Term, nugget 327
Term, offset 288 289
Term, random-effect 1 17 18 20 31 39 40 45 51 61 67 73 76 77 92 101 104 114 117 119 151 152 162—166 173 174 181 185 187 191 192 196 215 221 243 251 275 281 297 298 301 317 320 333
Term, residual 15 19 40 45 57 59 81 119 175 182 183 192 216 229 281 285 288 298 301 327
Term, treatment 51 53 59 60 62 68 98 131 183 185 239 251 253 271
Test of significance See Significance test
text file 29 63 85 109 110 147 178 229 259
Treatment 45 53 61 68 133 141 165 182 185 242 244 246 251 254 267 317
Treatment term See Term treatment
Treatment, comparison between 149 254
Trend, linear 187 192 217 218 232
UNIT 7 20 24 59 76 95 110 164 175 222 251 261 262 264 272 317
Variable, dummy 277 281 346
Variable, explanatory 1 2 7 18 39 43 149 159 213 217 276 277 279 345
Variable, nuisance 52 73 77 98 151 164
Variable, random 16 44 51 76 92 97 104 125 134 148 175 181 187 196 277 286 316 353
Variable, response 1 7 29 31 39 43 51 52 58 105 149 159 175 185 204 213 239 272 277 281 285 298 304 306 311 313 327 345 351
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