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Lindsey J.K. — Applying generalized linear models
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Fitzmaurice      46
Fleming      117
Fltering      174 175 177
Fltration      123 173
Forecasting      175
Francis      25
Frequentist decision-making      212
Fry      160 161
Ftted value residual      224 225
Full model      14 210
Gamerman      118
Gamma distribution      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
Gamma process      132
Gamma process, modulated      133
Gamma process, nonhomogeneous      132
Gamma-Poisson process      186 187 191 194 195
Gauss      4
Gehan      112
Gelman      219
Generalized inverse      16 200
Generalized linear model      v—viii 1 3—5 9 18 20 23—25 27 31 34 56 64 70 74 81 87 96 98 102 103 109 111 113 114 121 153 159 161 162 167 197 202 203 205 215 216 223 225 227 229
Generalized linear model, dynamic      173 174 186 189 190 192 195
GENSTAT      vi
Geometric distribution      53 128
Geometric process      128
Gilchrist      25
Gilks      85
Glasser      5
GLIM      vi 5 25
GLM      5
Goffnet      168
Gomperz growth curve      19 74 76 181
Goodness of fit      164 206 210 211 214 221 223
Greig      156
Growth curve      vii 69 178 181—183
Growth curve, exponential      51 70 72 74 76 78 96 181
Growth curve, Gomperz      19 74 76 181
Growth curve, logistic      19 72 75 76 181
Growth curve, logistic, generalized      181—184 194 195
Growth curve, Mitscherlich      181
Growth profile      69 178 180 184
Growth rate      69 71 82
Haberman      46 50 89
Hand      64 103 148
Harkness      154
Harrington      117
Harrison      196
Hart      160 161
Harvey      176 196
Hat matrix      222 223 227
Hay      73 77 79 80
Hazard function      57 111—113 116
Hazard function, baseline      114 116
Hazard function, ntegrated      111 114
Healy      25 85
Heckman      105
Heijden, van der      25
Heitjan      178 181 183 184
Herzberg      94 106
Heterogeneity      42 91 175 177 189 193 216
Heterogeneity factor      38
Hinkley      219
Howes      155
Huet      167
Hurley      132—135
Hypergeometric distribution      186 187
Hypothesis test      24 212
Identity link      4 21 70 95 96 98 100 127 159 161 164 165 175 176 199 211 214
incidence      76—78
Influence      227
Information, expected      201 212
Information, Fisher      26 201
Information, observed      212
Integrated hazard      111 114
Integrated intensity      111
Intensity      8 79 80 88—90 111 112 121 122 124 125 127 133 137 140 189
Intensity, integrated      111
Interest parameter      13 198 204 205
Interval confidence      25 212
Interval estimate      202
Interval likelihood      25 75 76 203 208
Interval observation      123—125 127
Interval prediction      75
Intraclass correlation      180 182
Intrinsic alias      16 26
Inverse gaussian distribution      3 13 19 21 53 96 98 100 109 122 164 189
Inverse polynomial      5 166
Isham      154
Ising model      142—144 146 147
Isolated departure      226
Item analysis      39 40
Iterative weighted least squares      5 9 19 23 98 200
IWLS      5 9 19 23 98 200
Jarrett      66
Jennrich      176
Jones, B.      128 132 136
Jones, R.H.      176 177 196
Jong, de      156 175
Jorgensen      5 25 167
Kalbfleisch, J.D.      117 184
Kalbfleisch, J.G.      137 219
Kalman filter      173—175 177 186
Kaplan      111
Kaplan — Meier estimate      111 112 125
Keene      169
Kempton      155
Kenward      136
Kernel smoothing      149
Kinesiology experiment      84
King      219
Kitagawa      196
Klotz      138
Lachin      139
Lag      91 93—96 98 100 102 226
Laird      46
Lambert      189 191 195
Latent group      32 39
Latent variable      39
laurent      60
Lawless      117 138
Learning process      37 90
Leverage      227 228
Lewis      229
Life history      88
Likelihood function      4 12 26 38 40 52 54 98 111 112 114 123 144 175 176 178 197—199 203 215—217 219
Likelihood function, approximate      198
Likelihood function, conditional      40
Likelihood function, log      203
Likelihood function, normed      202 203 205—208
Likelihood function, penalized      24 209
Likelihood function, profile      30 74 75 97 204 205
Likelihood function, relative      202
Likelihood interval      25 75 76 203 208
Likelihood principle      215
Likelihood ratio      202
Likelihood region      203 207 208
Likelihood residual      225 227
Lindsey      v vi 6 19 24 25 31 44 49 57 60 64 66 67 69 80 103 112 123 128 132 136 142 161 189 196 219
Linear model      v vii 1 7 9 18 28 44 159 162 167 199 210 211 222—224 229
Linear model, dynamic      173 175—177
Linear predictor      13 14 18 23 70 200
Linear predictor, canonical      71
Linear structure      13 16 18 19 22 74 75 87 222 223 225 226
Link      1 18 96 228
Link, canonical      19 21 42 96 159 164 166 199
Link, complementary log log      4 19 21 42 75 145 199
Link, composite      23
Link, exponent      21 22
Link, identity      4 21 70 95 96 98 100 127 159 161 164 165 175 176 199 211 214
Link, log      5 21 29 70 71 95—98 101 122 125 127 133 145 164 211
Link, logit      5 19 21 28 74 145
Link, probit      4 21 42 199
Link, quadratic inverse      21
Link, reciprocal      5 19 21 95 166
Link, square      182
Link, square root      21
Lisp-Stat      vi
Location parameter      10 11 14 19 173 199
Log gamma distribution      20 70
Log likelihood function      203
Log likelihood ratio statistic      211
Log linear model      v vii 5 27 29—31 34 36 40 54 77 78 88 90 101 124 127 145
Log link      5 21 29 70 71 95—98 101 122 125 127 133 145 164 211
Log logistic distribution      122
Log normal distribution      3 20 53 55 70 71 94—97 109 122 161 162 164 165 189
Logistic distribution      23
Logistic growth curve      19 72 75 76 181
Logistic growth curve, generalized      181—184 194 195
Logistic regression      v vii 19 20 27 28 30 36 90 101 124 128 129 141 145—147 224 225
Logit link      5 19 21 28 74 145
Longitudinal study      vii 69 102 103 141 145 173 189
Loyalty model      33
Marginal distribution      93 186 216—218
Marginal homogeneity model      34 35
Marginal mean      93
Marginal probability      34
Maritz      170
Markov chain process      32 34—36 101 102 104 127
Markov process      91 141 146 173
Markov property      91
Markov renewal process      121 127
Maximal model      14 32 38
Maximum likelihood estimate      5 21 51 112 116 124 199 200 205 215 225
McCullagh      vii 4 25
McGilchrist      82
McPherson      227
Mean, conditional      93
Mean, marginal      93
Measurement equation      173 174 176 177
Measurement precision      11 50 127 197 199
Meier      111
Mersch      49 57
Michaelis-Menten model      19
Micronuclei counts      60
Minimal model      14 32
Minor diagonals model, asymmetric      36
Minor diagonals model, symmetric      35
Missing values      77 78 80 175
Mitscherlich growth curve      181
Mixture      32 60
Mixture distribution      60 62 64
Mobility study      30 44 149
Model checking      221
Model matrix      14
Model selection      vi 14 25 205 206 209
Model, accelerated lifetime      122
Model, analysis of covariance      161
Model, analysis of variance      4 29 161
Model, autoregression      93 94 97 98 102 103 159 173—178
Model, complete      14
Model, embedded      223
Model, factorial      16 162
Model, full      14 210
Model, generalized linear      v—viii 1 3—5 9 18 20 23—25 27 31 34 56 64 70 74 81 87 96 98 102 103 109 111 113 114 121 153 159 161 162 167 197 202 203 205 215 216 223 225 227 229
Model, generalized linear, dynamic      173 174 186 189 190 192 195
Model, Ising      142—144 146 147
Model, linear      v vii 1 7 9 18 28 44 159 162 167 199 210 211 222—224 229
Model, linear, dynamic      175—177
Model, log linear      v vii 5 27 29—31 34 36 40 54 77 78 88 90 101 124 127 145
Model, logistic      v vii 19 20 27 28 30 36 90 101 124 128 129 141 145—147 224 225
Model, loyalty      33
Model, marginal homogeneity      34 35
Model, maximal      14 32 38
Model, Michaelis–Menten      19
Model, minimal      14 32
Model, minor diagonals, asymmetric      36
Model, minor diagonals, symmetric      35
Model, mover–stayer      32—34 39 60 91
Model, multiplicative intensities      122 127
Model, nested      vi 16 208 214
Model, nonlinear      vi viii 19 114 162 164
Model, nonparametric      vi 24 32 49 50 77 79 80 90 111 116 147 149 154 212
Model, proportional hazards      113 122 125
Model, proportional odds      23
Model, quasi-independence      32 40 77
Model, quasi-stationary      77—79
Model, quasi-symmetry      34—36 40
Model, random effects      23 38 39 103 127 173 174 177 178 181 195 218
Model, random walk      35 96
Model, Rasch      5 39 40 47 90 91 102 103
Model, Rasch, spatial      146
Model, regression, linear      v vii 1 7 9 18 28 44 159 162 165—167 199 210 211 222–224 229
Model, regression, logistic      v vii 19 20 27 28 30 36 90 101 124 128 129 141 145—147 224 225
Model, regression, nonlinear      164
Model, regression, Poisson      49 51 53 55 60 63 71 124 125 132 142 144—146
Model, regression, saturated      vi 14 23 24 32 33 35 50 56 57 63 77 81 89 91 111 112 149 187 210 211 213 214 221 223
Model, regression, seasonality      89 133 186 187 189
Model, regression, semiparametric      vi 23 80 113 116 117 162 164 211
Model, regression, symmetry, complete      34 35
Model, regression, variance components      23 180 182 218
Modulated gamma process      133
Morgan      44
Mover–stayer model      32—34 39 60 91
Multinomial distribution      27 29—31 49 50 54 208
Multiplicative intensities model      122 127
Multivariate distribution      6 63 64 87 141—144 174 177
Multivariate normal distribution      159
Multivariate process      76
Nadeau      138
Negative binomial distribution      3 4 22 39 97 98 164 187 195 217
Negative binomial process      186
Nelder      v vii 4 5 25 166 181
Nelson — Aalen estimate      125
Nested model      vi 16 208 214
Nonlinear model      vi viii 19 114 162 164
Nonlinear structure      19 22 94
Nonparametric model      vi 24 32 49 50 77 79 80 90 111 116 147 149 154 212
Nonstationarity      77—81 96
Normal distribution      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
Normalizing constant      10 52 54 58 63 64 142 143
Normed likelihood function      202 203 205—208
Nuisance parameter      13 40 204
Oakes      117
Observation equation      173 175 176 178
Observation interval      123—125 127
Observation update      175 177
Observed information      212
Offset      18 23 52 53 57 58 63 78 114 152
Oliver      71
Orthogonal polynomial      161
Orthogonality      208 210
Outlier      227
Overdispersion      3 37 38 58 103 104 164 217
Panel study      31 36 91 102
Parameter precision      202 208
Parameter, canonical      13 19 52 53
Parameter, dispersion      13 15 22 223
Parameter, interest      13 198 204 205
Parameter, location      10 11 14 19 173 199
Parameter, nuisance      13 40 204
Pareto distribution      20 53
Parzen      104
Patterson      5
Pearson chi-squared statistic      22 224
Pearson residual      224
Penalized likelihood function      24 209
Penalizing constant      24 209
Period effect      128
Piecewise exponential distribution      116 125
Pierce      229
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