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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
Plackett      63
plot      viii
Plot, Cook’s distance      43 228
Plot, deviance      204
Plot, growth curve      71—74 77—81 86 180—185 195
Plot, harmonics      89 90
Plot, index      226
Plot, intensity function      133 136
Plot, Kaplan — Meier      112 113
Plot, likelihood      22 74—76 97 202 203 205 206
Plot, linear regression      9 18
Plot, logistic regression      19 20
Plot, normal probability      226
Plot, Poisson regression      51
Plot, Q–Q      42 43 226
Plot, residual      3 222 225 228
Plot, response surface      150 165 167
Plot, survivor function      56
Plot, time series      97 189 191 192
Point process      88 111 124 141
Poisson distribution      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
Poisson distribution, bivariate      63
Poisson distribution, truncated      57
Poisson process      76 77 88 133 186
Poisson process, homogeneous      124
Poisson process, nonhomogeneous      88 90 116 121 122
Poisson regression      49 51 53 55 60 63 71 124 125 132 142 144—146
Pollock      119
Polynomial      76 164 180—182 194
Polynomial, inverse      5 166
Polynomial, orthogonal      161
Polynomial, quadratic      149 150 160 162 178 182 184
Population      32 39 60 91 95 216 226
Posterior distribution      191 193 215—217 219
Posterior mean      177
Precision, measurement      11 50 127 197 199
Precision, parameter estimate      202 208
Prediction      33 63 70 71 77—80 89 91 96 100 118 119 169 174 186
Prediction interval      75
Prediction, one-step-ahead      175 177
Pregibon      223 229
Prentice      117 184
Priestley      176
Prior distribution      191 193 215—218
Prior distribution, conjugate      216—219
Prior distribution, flat      219
Prior distribution, improper      219
Prior distribution, Jeffreys'      219
Prior distribution, noninformative      219
Prior weights      13
Probability, conditional      28 33
Probability, marginal      34
Probit link      4 21 42 199
Process, binomial      186
Process, birth      37 90 145
Process, birth, Weibull      90
Process, contagion      37 90
Process, extreme value      88
Process, gamma      132
Process, gamma, modulated      133
Process, gamma, nonhomogeneous      132
Process, gamma-Poisson      186 187 191 194 195
Process, geometric      128
Process, learning      37 90
Process, Markov      91 141 146 173
Process, Markov chain      32 34—36 101 102 104 127
Process, Markov renewal      121 127
Process, multivariate      76
Process, negative binomial      186
Process, point      88 111 124 141
Process, Poisson      76 77 88 133 186
Process, Poisson, homogeneous      124
Process, Poisson, nonhomogeneous      88 90 116 121 122
Process, semiMarkov      121 127
Process, stochastic      vi 69 103 123 127 184
Process, time series      87 94 102 103 105 121 141 175 177 178 209
Process, Weibull      88
Product limit estimate      111 112
Profile growth      69 178 180 184
Profile likelihood function      30 74 75 97 204 205
Proportional hazards model      113 122 125
Proportional odds model      23
Protocol      110
Quadratic inverse link      21
Quadratic polynomial      149 150 160 162 178 182 184
Quasi-independence model      32 40 77
Quasi-stationary model      77—79
Quasi-symmetry model      34—36 40
Q–Q plot      42 226
R      vi 16
Random coeffcients      173 175
Random effects model      23 38 39 103 127 173 174 177 178 181 195 218
Random walk model      35 96
Randomization      178
Rasch      5 39 40
Rasch model      5 39 40 47 90 91 102 103
Rasch model, spatial      146
Rate      76 78 80 88 89 95 104 111 139
Rate growth      69 71 82
Raw residual      224
Reciprocal link      5 19 21 95 166
Recording error      226
Region likelihood      203 207 208
Regression, linear      v vii 1 7 9 18 28 44 159 162 165—167 199 210 211 222—224 229
Regression, logistic      v vii 19 20 27 28 30 36 90 101 124 128 129 141 145—147 224 225
Regression, nonlinear      164
Regression, Poisson      49 51 53 55 60 63 71 124 125 132 142 144—146
Relative likelihood function      202
Repeated measurements      23 29 102 103 187 196
Reporting delay      76—81 85 86
Residual      56 99 101 159 191 193 222 223 225—228
Residual deviance      98 223 224
Residual fitted value      224 225
Residual likelihood      225 227
Residual score      225
Residual, expected      93
Residual, Pearson      224
Residual, raw      224
Residual, studentized      224 225
Response surface experiment      160 161
Response variable      6
Response variable, expected value      222
Retrospective sampling      30
Ripley      154
Risk set      112 127
Rogersr      15 28
Rohlf      59
Rossr      167
Royston      83
S-Plus      vi 16
Sample size      11 24 53 199 209 212 213 219
Sample survey study      26 31 46 57 63
Sampling error      226
Sampling zero      54 57
Sampson      67
Sandland      82
SAS      vi
Sasonality model      89 133 186 187 189
Saturated model      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
Scallon      82
Schafer      229
Schluchter      176
Score      213
Score equation      12 115 200 201 225
Score function      12 201 212
Score residual      225
Searle      167
Seber      167
Seeber      25
Selvin      52 155
SemiMarkov process      121 127
Semiparametric model      vi 23 80 113 116 117 162 164 211
Serial correlation      176—178
Smoothing factor      81 208 209
Snedecor      168
Sokal      59
Solomon — Wynne experiment      137
Sore statistic      324
Spatial Rasch model      146
SPLINE      149
Square link      182
Square root link      21
Standard deviation      70 225
Standard error      202 224
State      31
State dependence model      176
State equation      174
State space model      176
State transition equation      174 176 177
State transition matrix      174
Stationarity      36 69 76 79 80 93 102 142 178
Statistic deviance      212
Statistic log likelihood ratio      211
Statistic score      224
Statistic, canonical      217
Statistic, Pearson chi-squared      22 224
Statistic, suffcient      11 19 52 53 55 56 63 199 214
Stepwise elimination      207 208
Stochastic process      vi 69 103 123 127 184
Stoyan      154
Strauss      143
Structural zero      40 54
Stuart      45
Studentized residual      224 225
Study panel      31 36 91 102
Study, case-control      30
Study, clinical trial      122 128 129 178
Study, longitudinal      vii 69 102 103 141 145 173 189
Study, mobility      30 44 149
Study, sample survey      26 31 46 57 63
Suffcient statistic      11 19 52 53 55 56 63 199 214
Survivor function      111 112
Symmetry model, complete      34 35
Systematic component      8 23 194 195 228
Systematic departure      222 228
Taylor series      22 160 212 213
Thierens      61
Thompson      83
Tiao      219
Tidwell      165
Tillett      85
Time series process      87 94 102 103 105 121 141 175 177 178 209
Time, continuous      87 116 125 127 176—178 191
Time, discrete      87 101 123—125 127 128 141 176—178
Time-dependent covariate, internal      184
Time-varying explanatory variable      87 88 113 121 122 125 183
Tjur      40
Tong      95
Transition probability      32 101
Trend      88 89 101 107 133 146 186 187 190
Truncated distribution      57 60 64
Truncated distribution, Poisson      57
Tsai      229
Tutz      vii 25 103 196
Tweedie      12
Uniform distribution      53
Unit of measurement      197—199
Upton      35 44 154
Usual constraint      17
Variable, endogenous      184
Variable, explanatory      8
Variable, explanatory, time-varying      87 88 113 121 122 125 183
Variable, factor      14 16 24 29 33 34 36 40 60 77—79 90 91 102 113 116 125 129 146 161 162 164 215
Variable, latent      39
Variable, response      6
Variable, response, expected value      222
Variance components model      23 180 182 218
Wallach      168
Watts      167
Wedderburn      v 5 25
Wei      139
Weibull birth process      90
Weibull distribution      21 23 25 78 113—117 122 124 125
Weibull process      88
Weisberg      229
West      196
Wild      167
Wilkinson      15 28
Williams, D.A.      225 229
Williams, E.J.      166
Willis      105
Wolak      73 77 79 80
Wolpert      219
Zelen      5 117
Zero counts      60
zero frequency, sampling      54 57
zero frequency, structural      40 54
Zippin      5
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