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Lindsey J.K. — Applying generalized linear models
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Название: Applying generalized linear models
Автор: Lindsey J.K.
Аннотация: Applying Generalized Linear Models describes how generalized linear modelling procedures can be used for statistical modelling in many different fields, without becoming lost in problems of statistical inference. Many students, even in relatively advanced statistics courses, do not have an overview whereby they can see that the three areas - linear normal, categorical, and survival models - have much in common. The author shows the unity of many of the commonly used models and provides the reader with a taste of many different areas, such as survival models, time series, and spatial analysis. This book should appeal to applied statisticians and to scientists with a basic grounding in modern statistics. With the many exercises included at the ends of chapters, it will be an excellent text for teaching the fundamental uses of statistical modelling. The reader is assumed to have knowledge of basic statistical principles, whether from a Bayesian, frequentist, or direct likelihood point of view, and should be familiar at least with the analysis of the simpler normal linear models, regression and ANOVA. The author is professor in the biostatistics department at Limburgs University, Diepenbeek, in the social science department at the University of Liège, and in medical statistics at DeMontfort University, Leicester. He is the author of nine other books.
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Рубрика: Математика /Вероятность /Статистика и приложения /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1997
Количество страниц: 257
Добавлена в каталог: 05.06.2005
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Предметный указатель
Aalen 127 136
Absorbing event 109 121 122 124
Accelerated lifetime model 122
Ackerson 176
Agresti 44
AIC 3 24 209
Aitkin vii 25 113
Akaike 3 209
Akaike information criterion 3 24 209
Alias 16 202
Alias, extrinsic 16 26 202
Alias, intrinsic 16 26
Altham 208
Altman 1 2
Analysis of covariance 161
Analysis of deviance 214
Analysis of variance 4 29 161
Andersen, A.H. 190
Andersen, E.B. 41 66
Andersen, P.K. 117 126 136
Andrews 94 106
Angelis, de 85
anova vii 4 7 30 161 215
Anscombe 104
Approximate likelihood function 198
Armitage 5
Asymptote 69 74 75 84 181—184 194 195
Autocorrelation 93 94 175 176 181 182 184
Autoregression model 93 94 97 98 102 103 159 173—178
Barndorff-Nielsen 25
Barnett 229
Barnhart 67
Baseline constraint 17
Baseline hazard function 114 116
Baskerville 128—130 132
Bates 167
Bayes' formula 174 193 216 217
Bayesian decision-making 215
Bayesian information criterion 209
Bennett 84
Berger 219
Berkson 5
Bernoulli distribution 5 211 222 227
Besag 142
Beta distribution 39 186
Beta-binomial distribution 39 186
Beta-negative binomial distribution 187 193 194
Beveridge 98 99 105
BIC 209
Binomial distribution 4 10 13 19 20 25 27 28 30 37—39 53 58 59 65 112 124 125 127 198 199 203 204 210
Binomial distribution, double 58 59
Binomial distribution, multiplicative 58 59
Binomial process 186
Birch 5
Birth process 37 90 145
Birth process, Weibull 90
Bishop 44
BLISS 4
Blossfeld 136
Boadi — Boateng 177
box 162—165 167 219
Brown, B.M. 170
Brown, L.D. 25
Burridge 55
Buxton 170
Calibrated deviance 209
Canonical form 10 11 49 216
Canonical linear predictor 71
Canonical link 19 21 42 96 159 164 166 199
Canonical parameter 13 19 52 53
Canonical statistic 217
Carryover effect 128 129 131 132
Case-control study 30
Censoring 8 23 66 109 111 112 114 118 119 124 139 140 199
Chi-squared distribution 25 212
Clayton 113
Clinical trial 122 128 129 178
Closure under sampling 216
Cochran 168
Coleman 45
Collett 44
Compatible inference 207 208
Complementary log log link 4 21 42 75 145 199
Complete model 14
Composite link 23
Compound distribution 38 39 216—218
Conditional distribution 31 50 93 141 143 159 175 177 178
Conditional mean 93
Conditional probability 28 33
Confidence interval 25 212
Confirmatory inference 24
Conjugate distribution 38 39 186 189 196 216—219
Constraint 17 29—31
Constraint, baseline 17
Constraint, conventional 17 202
Constraint, usual 17
Contagion process 37 90
Continuous time 87 116 125 127 176—178 191
Control 57 180
Conventional constraint 17 202
Cook 228 229
Cook's distance 42 228
Correlation 159
Correlation, intraclass 180 182
Correlation, serial 177 178
Counts 5 8 27 38 57 88 94 146 154 156 164 186 194
Counts, micronuclei 60
Counts, zero 60
Covariance 182 184 218
Covariance analysis 161
Covariance matrix 159 177 178
Cox 117 162—164 167 219
Cressie 150 151 154
Crossover experiment 128—130 169
Crouchley 92
Crowder 103
Data generating mechanism 6
Data, abortion 46
Data, AIDS, UK 85
Data, AIDS, USA 73
Data, ant nests 154
Data, baboons 126
Data, barley 155
Data, bedload 134 135
Data, capital formation 71
Data, car occupants 65
Data, coal ash 157
Data, Danish wealth 66
Data, Danish welfare 41
Data, divorces 67
Data, dog learning 137
Data, exercises 84
Data, eyes 45
Data, flies mating 136
Data, gallstones 139
Data, Geiger counter 64
Data, goldfish 161
Data, growth, beans 82
Data, growth, pika 82
Data, growth, sunflowers 82
Data, half-emptying time 169
Data, horse kicks 106
Data, iron ore 158
Data, lambs 63
Data, leading crowd 45
Data, lynx 94
Data, micronucleus 61
Data, microwave tower 152
Data, migration, Britain 33
Data, migration, Wisconsin 92
Data, mine disasters 66
Data, neighbours, trees 148
Data, neighbours, vegetation 156
Data, nuclear waste 151
Data, Paramecium 194
Data, plants 143
Data, Post Offce employment 55
Data, postal survey 57
Data, preference trial 130
Data, rainfall 138
Data, rat weights 168
Data, sex of children 59 65
Data, sheep 168
Data, snowfall 104
Data, social mobility 44
Data, stressful events 50
Data, suicides 89
Data, sunspots 103
Data, survival, animal 168
Data, survival, black ducks 119
Data, survival, gastric cancer 118
Data, survival, leukemia 112 117
Data, survival, lymphoma 118
Data, timber 170
Data, viscometer 166
Data, vote, Britain 44
Data, vote, Sweden 35
Data, welds 170
Data, Winchester wages 99 105
Data, women working 105
Data, wool 163
Data, Yale enrollment 104
Davison 229
Decarli 25
Decision-making Bayesian 215
Decision-making frequentist 212
Degrees of freedom 206
Departure, isolated 226
Departure, minimal 228
Departure, systematic 222
Derman 65
Design matrix 14 16 18
Deviance 204 227
Deviance residual 98 223 224
Deviance statistic 212
Deviance, calibrated 209
Diagnostics 221 222
Diggle 103 188 194
Dinse 118
Discrete time 87 101 123–125 127 128 141 176—178
Dispersion parameter 13 15 22 223
Distribution, Bernoulli 5 211 222 227
Distribution, Beta 39 186
Distribution, beta-binomial 39 186
Distribution, beta-negative binomial 187 193 194
Distribution, binomial 4 10 13 19 20 25 27 28 30 37—39 53 58 59 65 112 124 125 127 198 199 203 204 210
Distribution, binomial, double 58 59
Distribution, binomialmultiplicative 58 59
Distribution, chi-squared 25 212
Distribution, compound 38 39 216—218
Distribution, conditional 31 50 93 141 143 159 175 177 178
Distribution, conjugate 38 39 186 189 196 216—219
Distribution, exponential 5 20 21 23 25 51 53 113 114 116 117 122 124 125 199
Distribution, exponential, piecewise 116 125
Distribution, extreme value 23 122
Distribution, gamma 3 5 11 13 19—21 39 53 55 56 70 71 96—98 100 109 122 161 162 164—166 186 189 191 193 199 210 217 219
Distribution, geometric 53 128
Distribution, hypergeometric 186 187
Distribution, inverse Gaussian 3 13 19 21 53 96 98 100 109 122 164 189
Distribution, log gamma 20 70
Distribution, log logistic 122
Distribution, log normal 3 20 53 55 70 71 94—97 109 122 161 162 164 165 189
Distribution, logistic 23
Distribution, marginal 93 186 216—218
Distribution, mixture 60 62 64
Distribution, multinomial 27 29—31 49 50 54 208
Distribution, multivariate 6 63 64 87 141—144 174 177
Distribution, negative binomial 3 4 22 39 97 98 164 187 195
Distribution, normal v vii 1—3 5 7 9 11 13 18—20 25 27 28 38 39 44 53 70 71 93 98 101 109 150 159 162 164–167 173 175—177 195 199 205 210 214 218 219 222—225
Distribution, normal, multivariate 159
Distribution, normal, standard 226
Distribution, Pareto 20 53
Distribution, Poisson 2 3 5 10 13 19 20 23 26 27 29 30 37—39 49 50 52 53 55 60 71 88 97 113 114 123 125 127 142 145 186 210 217 219
Distribution, Poisson, bivariate 63
Distribution, Poisson, truncated 57
Distribution, posterior 191 193 215—217 219
Distribution, prior 191 193 215—218
Distribution, prior, conjugate 216—219
Distribution, prior, flat 219
Distribution, prior, improper 219
Distribution, prior, Jeffreys' 219
Distribution, prior, noninformative 219
Distribution, prior, truncated 57 60 64
Distribution, uniform 53
Distribution, Weibull 21 23 25 78 113—117 122 124 125
Dobson, vii 25
Double blinded experiment 128 178
Drift 35
Duration vii 7 8 55 102 109 121 122 128 170 189
Dyke 5
Dynamic generalized linear model 173 174 186 189 190 192 195
Dynamic linear model 175–177
Educational testing 39
Edwards 219
Embedded model 223
Endogenous variable 184
Error estimation 177
Error recording 226
Error sampling 226
Error standard 202 224
Error structure 18 70
Estimate interval 202
Estimate Kaplan — Meier 111 112 125
Estimate maximum likelihood 5 21 51 112 116 124 199 200 205 215 225
Estimate Nelson — Aalen 125
Estimate product limit 111 112
Event history 88 102 109 113 121—124 127 128 136 139
Expected information 201 212
Expected residual 93
Experiment 4 26 64 166 171 193 204 207 210
Experiment kinesiology 84
Experiment, crossover 128—130 169
Experiment, double blinded 128 178
Experiment, factorial 162 168
Experiment, response surface 160 161
Experiment, Solomon — Wynne 137
Explanatory variable 8
Explanatory variable, time-varying 87 88 113 121 122 125 183
Exploratory inference 24 221
Exponent link 21 22
Exponential dispersion family 1 5 6 9 11 12 18—22 25 38 159 200 210 214 217 218 223
Exponential distribution 5 20 21 23 25 51 53 113 114 116 117 122 124 125 199
Exponential family 4 5 10 11 22 25 27 37 38 52—54 57 58 64 70 96 142 199 204 216 217 219
Exponential growth curve 51 70 72 74 76 78 96 181
Extreme value distribution 23 122
Extreme value process 88
Extrinsic alias 16 26 202
Factor variable 14 16 24 29 33 34 36 40 60 77—79 90 91 102 113 116 125 129 146 161 162 164 215
Factorial experiment 162 168
Factorial model 16 162
Fahrmeir vii 25 103 196
Family, exponential 4 5 10 11 22 25 27 37 38 52—54 57 58 64 70 96 142 199 204 216 217 219
Family, exponential dispersion 1 5 6 9 11 12 18—22 25 38 159 200 210 214 217 218 223
Feigl 5 117
Feller 155
Fernandes 196
Fingleton 33 154
Fisher 4 5 65
Fisher information 26 201
Fitted value 77 79 80 189 200 222 224 227
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