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Galwey N.V. — Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance
Galwey N.V. — Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance

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Название: Introduction to Mixed Modelling: Beyond Regression and Analysis of Variance

Автор: Galwey N.V.

Аннотация:

Mixed modelling is one of the most promising and exciting areas of statistical analysis, enabling more powerful interpretation of data through the recognition of random effects. However, many perceive mixed modelling as an intimidating and specialized technique. This book introduces mixed modelling analysis in a simple and straightforward way, allowing the reader to apply the technique confidently in a wide range of situations.

Introduction to Mixed Modelling shows that mixed modelling is a natural extension of the more familiar statistical methods of regression analysis and analysis of variance. In doing so, it provides the ideal introduction to this important statistical technique for those engaged in the statistical analysis of data.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 376

Добавлена в каталог: 15.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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