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| Ïîèñê ïî óêàçàòåëÿì |
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| Hosmer D.W., Lemeshow S. — Applied survival analysis: regression modeling of time to event data |
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| Ïðåäìåòíûé óêàçàòåëü |
Accelerated failure time models 272—273 275
Acceleration factor, exponential regression model 274
Additive models 333—350
Additive models, Aalen model 337—340
Additive models, baseline cumulative hazard function 342—343
Additive models, covariate-adjusted survivorship function 339
Additive models, cumulative hazard function 337 339
Additive models, cumulative regression coefficient 337—338 342—348
Additive models, fit 349
Additive models, Lin and Ying estimator 336
Additive models, regression coefficients 336
Additive models, test statistics 348
Additive models, time-varying covariates 341
Additive relative hazard function 334—335
Additive relative hazard model 91—92
Analysis of covariance 129
Arjas plots 228—229
At risk process 204
At risk process, counting process 359—360
Beck score: covariates for 231—232
Beck score: frailty models 325
Beck score: increase, interpretation 231
Binary regression model 259 261—262
Binary variable 116
BMDP package 68—69
Breslow approximation 106—108
Breslow estimator, cumulative baseline hazard 203
Bronchopulmonary dysplasia study 70—73
Brookmeyer — Crowley confidence interval 51—52
Censored observation, definition 18
Censoring: mechanisms 17—22
Censoring: odds ratio 116
Censoring: patterns 242
Coefficients, generalized least squares estimator 206
Complementary log-log binary regression model 268
Conditional baseline survival probability 109—110
Conditional logistic regression, nested case-control studies 330—331
Conditional models, recurrent event models 310—311 316
Conditional survival probability 35—36 109
Confidence band 44—45
Confidence band, endpoints 45—47
Confidence interval: estimator 135
Confidence interval: estimator, covariate-adjusted 149
Confidence interval: estimator, survivorship function 40—42 152—156
Confidence interval: quantile 51
Confidence interval: survivorship function, endpoints 44
Confidence interval: Wald-statistic-based interval 100—101 119 277
Confounding, control 129
Constant hazard model 83
Cook's distance 219—220 222 224
Cook's distance statistic: exponential regression model 282
Cook's distance statistic: versus martingale residuals 283—285
Cook's distance, as product of residual measure and leverage 222
Cook's distance, percent change 223
Cook's distance, Weibull regression model 294—296
Counting process 358—363
Counting process, at risk process 359—360
Counting process, cumulative intensity process 361
Counting process, formulation 42—43
Counting process, intensity process 359
Counting process, martingale 360—362
Counting process, recurrent event models 308—309 314—315
Covariates: best subsets selection 187—193
Covariates: best subsets selection, Mallow's C 189—192
Covariates: best subsets selection, multivariable model 191
Covariates: best subsets selection, proportional hazards regression model 188—190
Covariates: best subsets selection, software 188
Covariates: continuous 184
Covariates: continuous, scale, preliminary main effects model, covariates, purposeful selection 160—161
Covariates: for Beck score 231—232
Covariates: frailty 3198
Covariates: nonlinear functions, hazard ratios 232—233
Covariates: purposeful selection 159—180
Covariates: purposeful selection, adding design variables 178
Covariates: purposeful selection, covariate deletion 160
Covariates: purposeful selection, excluding treatment variable from variable selection process 165
Covariates: purposeful selection, method of fractional polynomials 161—163 170
Covariates: purposeful selection, partial likelihood ratio test 163
Covariates: purposeful selection, selecting interaction terms 164
Covariates: purposeful selection, set of biologically plausible interaction terms 164
Covariates: purposeful selection, spline functions 164
Covariates: stepwise selection 180—187
Covariates: stepwise selection, continuous 184
Covariates: stepwise selection, scale of continuous covariates 186
Covariates: stepwise selection, stepwise selection process 181—183
Covariates: time-varying See Time-varying covariates
Covariates: unusual configuration 216—217
Cox model See Proportional hazards regression model
Cox — Snell residual 202
Cox — Snell residual, estimator 285—286
Cox — Snell residual, log-logistic regression model 303
Cox — Snell residual, residual diagnostic plot, Weibull regression model 296—297
Data sets, example 22—25
Decile of risk: design variables, inclusion in score test 226—227
Decile of risk: Poisson distribution 227
Delayed entry 20 254
Delta method 41 43 354—357
Density function 11 94
Density function, estimator 49—50 51
Descriptive methods 27—84. See also Survivorship function
Diagnostic statistics: regression 216
Diagnostic statistics: software packages 283
Diagnostic statistics: Weibull regression model 295
Dichotomous covariate 115
Dichotomous covariate, hazard function nonproportional for 209 211 213
Dichotomous covariate, residuals for 209
Direct adjusted survival curve 149
Discrete-time logistic model 268—269
Distribution function, cumulative 11
Distribution function, definition 27
Effect modifiers 129
Efron approximation 106—108
Error component, exponential or Weibull distribution 89
Estimation-maximization algorithm 320—323
Exponential regression model 8 13 273—289
Exponential regression model, acceleration factor 274
Exponential regression model, Cook's distance statistic, versus martingale residuals 283—285
Exponential regression model, goodness-of-fit 281
Exponential regression model, hazard function 274
Exponential regression model, hazard ratio for dichotomous covariate 274—275
Exponential regression model, likelihood displacement statistic, versus martingale residuals 283—285
Exponential regression model, log-likelihood function 275—276
Exponential regression model, martingale residuals 280
Exponential regression model, scaled score residuals 281—282
Exponential regression model, survivorship functions 274
Exponential regression model, time ratio 274 277—279 288
Exponential regression model, Wald-statistic-based confidence interval 277
Failure rate, conditional and unconditional 78—80
Fitted proportional hazards regression model 113—156. See also Survivorship function covariate-adjusted
Fitted proportional hazards regression model, continuous scale covariate 127—129
Fitted proportional hazards regression model, hazard ratio 114—115
Fitted proportional hazards regression model, multiple-covariate models 129—137
Fitted proportional hazards regression model, nominal scale covariate 115—127
Fitted proportional hazards regression model, parallelism in plots 143—144
Fitted proportional hazards regression model, risk score 144—146
Frailty 319
Frailty models 307 317—326
Frailty models, Beck score 325
Frailty models, cumulative baseline hazard function 322
Frailty models, Estimation-maximization algorithm 320—323
Frailty models, gamma 319—320
Frailty models, gamma variance parameter 324—325
Frailty models, hazard function 318—319
Frailty models, likelihood ratio test statistic 323
Frailty models, offset variable 321
Frailty models, shared 319
Frailty models, significance tests for model coefficients 323
Frailty models, use 319—320
Gamma frailty models 319—320
Gamma variance parameter 324—325
| Goodness-of-fit test 225—230
Goodness-of-fit test, exponential regression model 281
Grambsch and Therneau generalized least squares score test 207
Greenwood's estimator 42 49—50 357
Grennesby — Borgan 225—226 287 296—297 313
Grennesby — Borgan goodness-of-fit test 225—226 287
Grennesby — Borgan goodness-of-fit test, recurrent events model 313
Grennesby — Borgan goodness-of-fit test, Weibull regression model 296—297
Grouped-time model 268
Gumbel distribution 8—9
Hall and Wellner confidence bands 45—46 364
Harrington — Fleming test 62
Hazard function model, linear function of time 83
Hazard function: accelerated failure time form 290
Hazard function: as function of time and covariates 90
Hazard function: baseline 90
Hazard function: baseline cumulative, additive models 342—343
Hazard function: baseline cumulative, estimator 110—111
Hazard function: baseline cumulative, frailty models 322
Hazard function: constant 88
Hazard function: cumulative 77—78 92
Hazard function: cumulative, additive models 337 339
Hazard function: cumulative, estimator 111
Hazard function: cumulative, Kaplan — Meier estimator 75
Hazard function: cumulative, Weibull regression model 295—296
Hazard function: exponential regression model 274
Hazard function: frailty models 318—319
Hazard function: interval grouped-data estimator 79—80
Hazard function: nonconstant 88—89
Hazard function: nonproportional for dichotomous covariate 209 211 213
Hazard function: parameterization 91
Hazard function: parametric models 83—84
Hazard function: parametric structure 88
Hazard function: pointwise estimator 81—82
Hazard function: proportional hazards regression model 114 161
Hazard function: quadratic function 83—84
Hazard function: quadratic function, of time 81
Hazard function: regression models 90
Hazard function: representation 81—82
Hazard function: semiparametric 92—93
Hazard function: specifying model through 90
Hazard function: Weibull regression model 289
Hazard ratio 91 114—115 205
Hazard ratio, as function of variables of interest 236
Hazard ratio, confidence interval estimator 236—237
Hazard ratio, dichotomous covariate 115—118
Hazard ratio, dichotomous covariate, exponential regression model 274—275
Hazard ratio, estimated interpretation 236—238
Hazard ratio, estimated recurrent event models 315—316
Hazard ratio, estimator 120—121
Hazard ratio, estimator, continuous scale covariate 128—129
Hazard ratio, estimator, nominal scale covariate 122—123
Hazard ratio, final model 231—232
Hazard ratio, nonlinear functions of covariates 232—233
Hazard ratio, point estimator 118
Hazard ratio, sampling distribution of estimator 118—119
Hazard ratio, within strata 244
Hazard: baseline cumulative 203
Hazard: Breslow estimator 203
Hazard: Breslow estimator, baseline estimator 110
Hazard: Weibull regression model 298—299
Hazard: Weibull regression model, cumulative, Nelson — Aalen estimator 361
Heterogeneity of subjects 318
Histogram: construction 78
Histogram: estimator 78
Histogram: unconditional failure rate 79—80
Hypergeometric distribution, multivariate central 66
Influence, measure 220—221
Information criterion 304
Information matrix 102
Information matrix, Weibull regression model 291—292
Information sandwich estimator 312
Intensity process: counting process 359 361
Intensity process: cumulative 77
Intensity process: integrated 77
Interaction term, inclusion and partial likelihood 207
Interactions model 134—136
Interval censored 21 257—258
Kaplan — Meier estimator 28—31 139
Kaplan — Meier estimator, cumulative hazard function 75
Kaplan — Meier estimator, delta method 355—357
Kaplan — Meier estimator, estimator for variance 40—41
Kaplan — Meier estimator, general formulation 33—35
Kaplan — Meier estimator, log 41
Kaplan — Meier estimator, log-logistic regression model 303
Kaplan — Meier estimator, mean estimator 53—54
Kaplan — Meier estimator, modification 61
Kaplan — Meier estimator, raised to a power 62
l-max statistics 221
l-max statistics, versus martingale residuals 222
Least squares 9—10
Left censoring 20—21
Left truncation 20
Left-censored data 256
Left-censored data, defining characteristic 256
Leverage 216—217
Leverage, high 219
Life-table estimator 36—39
Lifetest procedure, SAS 67—38
Likelihood displacement statistic 221—222 224
Likelihood displacement statistic, exponential regression model 282
Likelihood displacement statistic, versus martingale residuals 222 283—285
Likelihood displacement statistic, Weibull regression model 294—296
Likelihood function, interval censored data 259—261
Likelihood ratio test 287
Likelihood ratio test statistic, frailty models 323
Lin and Wei robust estimator 312
Lin and Wei robust estimator, additive models 336
Linear predictor portion 206—207
Linear regression model 5—6
Linear regression model, Cook's distance 219—220
Linear regression model, covariate control 141—142
Linear regression model, weighted 188
Link function 113
Log partial likelihood 96 99
Log partial likelihood ratio 103—104
Log partial likelihood, inverse of negative of second derivative 97
Log partial likelihood, ratio of derivative 100
Log-hazard function 121 161—162
Log-hazard function, dichotomous covariate 115
Log-hazard function, difference in 233—234
Log-hazard function, interactions model 134
Log-hazard function, multiple-covariate models 130
Log-hazard function, proportional hazards regression model 114
Log-hazard ratio: adjusted 130 132—133
Log-hazard ratio: crude 130—131
Log-likelihood function 12 94
Log-likelihood function, exponential regression model 275—276
Log-likelihood function, Weibull regression model 291
Log-log survivorship function 43—44
Log-logistic regression model 299—304
Log-logistic regression model, Cox — Snell residuals 303
Log-logistic regression model, Kaplan — Meier estimator 303
Log-logistic regression model, odds-ratio 300
Log-logistic regression model, time ratio 300—301
Log-rank 71
Log-rank test 60—61 67—38 167
Log-rank test, covariate selection 167
Log-rank test, reporting results 71
Logistic regression model 268
Logistic regression model, Cook's distance 219—220
Logistic regression model, goodness-of-fit test 226—227
Mantel — Haenszel analysis 73
Marginal event-specific model, recurrent event models 311—312 316—317
Martingale 201—202
Martingale residual 163 172—173 202—203
Martingale residual, change in 204
Martingale residual, exponential regression model 280
Martingale residual, versus likelihood displacement and l-max statistics 222
Martingale residual, Weibull regression model 292 296
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