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Hosmer D.W., Lemeshow S. Ч Applied logistic regression
Hosmer D.W., Lemeshow S. Ч Applied logistic regression

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Ќазвание: Applied logistic regression

јвторы: Hosmer D.W., Lemeshow S.

јннотаци€:

A textbook for part of a graduate survey course, courses of a quarter or semester, and focused short courses for working professionals. Assuming a solid foundation in linear regression methodology and contingency table analysis, biostaticians Hosmer (U. of Massachusetts- Amherst) and Lemeshow (Ohio State U.) introduce the logistic regression model and its use in methods for modeling the relationship between a categorical outcome variable and a set of covariates. The first edition appeared about a decade ago, and the second incorporates theoretical and computational developments since then.


язык: en

–убрика: ћатематика/¬еро€тность/—татистика и приложени€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: second edition

√од издани€: 2000

 оличество страниц: 376

ƒобавлена в каталог: 03.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$2\times2$ tables, generally: classification      159Ч160 228
$2\times2$ tables, generally: contingency      331
$2\times2$ tables, generally: fitted logistic regression compared with stratified analysis      79Ч85
$2\times2$ tables, generally: model-building strategies      136Ч137
$r^2$      131 164Ч167 345
1Ч1 matched study: example of      230Ч235
1Ч1 matched study: goodness-of-fit assessment      236Ч243
1Ч1 matched study: logistic regression analysis for      226Ч230
1ЧM matched study: example of      243Ч248
1ЧM matched study: goodness-of-fit assessment      248Ч259
Additive models      103Ч104
Adjacent-category logistic model      289 293Ч295 297Ч298
Adjustment, statistical      65 67 69
Algorithms, variable selection      96
Analysis of covariance      65
Analysis of variance table      11Ч12
Asthma study, correlated data analysis      309Ч312
Asymptotic distribution      132
Asymptotically equivalent      21
Auto-regressive mode, correlated data analysis      313
Baseline logit model      289
Best subsets linear regression, model-building: applications, generatly      128Ч129
Best subsets linear regression, model-building: interaction      136Ч137
Best subsets linear regression, model-building: matrix notation      128Ч131
Best subsets linear regression, model-building: multivariable analysis      132
Best subsets linear regression, model-building: overfitting      134Ч135
Best subsets linear regression, model-building: sum-of-squares      130Ч131
Best subsets linear regression, model-building: UIS case illustration      132Ч135
Best subsets linear regression, model-building: univariate stage      129Ч130
Best subsets linear regression, model-building: variable selection      96
Best subsets linear regression, model-building: vector notation      128Ч129
Binary logistic models      1 278 307Ч308
Binomial distribution      7 116
BMDPLR      121Ч122
Breslow Ч Day test      83Ч84
Calibration, goodness-of-fit assessment      159
Case-control studies: components of      189Ч190 205Ч210
Case-control studies: matched      See Matched case-control studies
Chi-square distribution: best subsets logistic regression      133
Chi-square distribution: fitted logistic regression      72 82 85
Chi-square distribution: logistic regression      14 16
Chi-square test, variable selection: benefits of      92Ч93 102
Chi-square test, variable selection: stepwise logistic regression      116
Classification      21
Classification tables, goodness-of-fit assessment      156Ч160 188
Cluster-level covariates      309
Cluster-specific model, correlated data analysis      310Ч312 316Ч317 320Ч328
Clustering      185Ч186
Coefficients, generally: correlated      See Correlated data analysis
Coefficients, generally: in variable selection      97
Coefficients, generally: testing for significance of      11Ч17
Cohort studies      203Ч205
Collinearity      140Ч141
Complex sample surveys, fitting logistic regression models to data from      211Ч221
Conditional exact maximum likelihood estimate (CMLE)      334Ч337
Conditional maximum likelihood estimators      23
Conditional mean      4 6Ч7 168
Confidence interval estimation: fitted logistic regression      52Ч53 55 62 88
Confidence interval estimation: logistic regression      17Ч21
Confidence interval estimation: multiple logistic regression      35 40Ч42
Confidence interval: estimation      See Confidence interval estimation
Confidence interval: in goodness-of-fit assessment      191 195Ч198
Confidence interval: Wald-based      19Ч20
Confidence limits      59
Confounding: fitted logistic regression      70Ч74
Confounding: goodness-of-fit assessment      185
Confounding: variable selection      128
Constrained cumulative logit model      297
Contingency table      92Ч93
Continuation-ratio logistic model      290 295Ч298
Continuous covariates: goodness-of-fit      175Ч176
Continuous covariates: variable selection      93Ч94 103 126
Continuous independent variable: fitted logistic regression      63Ч64 67 97
Continuous independent variable: variable selection      97
Continuous variables: defined      22
Continuous variables: independent      See Continuous independent variable
Continuous variables: variable selection      93
Coronary heart disease (CHD) study: fitted logistic regression      51Ч53 56Ч57 64 71Ч72
Coronary heart disease (CHD) study: logistic regression      2Ч7
Correlated data analysis: duster-speci fie      310Ч312 316Ч317 320Ч328
Correlated data analysis: population average model      311Ч323 329Ч330
Correlated data analysis: subject-specific      310 312
Correlated data analysis: transitional model      312
Covariance matrix: case-control studies      206Ч210
Covariance matrix: correlated data analysis      315
Covariance matrix: fitted logistic regression      78
Covariance matrix: logistic regression      19
Covariance matrix: multiple logistic regression      34 41Ч43
Covariate pattern: defined      144
Covariate pattern: diagnostics and      169 172Ч183
Covariate pattern: goodness-of-fit assessment      178Ч179 182 282Ч287
Covariate pattern: model-building strategies      138
Cox model      205 331Ч332
Data sets: ICU study      23Ч25
Data sets: low birth weight study      25
Data sets: prostate cancer study      25Ч26
Data sets: UMARU IMPACT study      26Ч28
Degrees-of-freedom: complex sample surveys      214
Degrees-of-freedom: correlated data analysis      328
Degrees-of-freedom: exact computation methods      338
Degrees-of-freedom: fitted linear regression      72 82Ч83 85
Degrees-of-freedom: goodness-of-fit assessment      154
Degrees-of-freedom: multinomial logistic regression      275
Degrees-of-freedom: multiple logistic regression      38Ч39
Degrees-of-freedom: ordinal logistic regression model      295 304
Degrees-of-freedom: stepwise logistic regression      116 120
Degrees-of-freedom: variable selection and      92 102 116
Dependent outcome      1
Design matrix      168
Design variables: fitted logistic regression      60Ч61
Design variables: multiple logistic regression      32 38
Deviance, Pearson      145Ч147 152Ч154 179
Deviation from mean coding      59
Deviation from means      54
Diagnostics: basic building blocks      176Ч178
Diagnostics: coefficient estimation      182
Diagnostics: confounding      185
Diagnostics: correlated data analysis      325Ч326
Diagnostics: covariate patterns      172Ч183
Diagnostics: design matrix      168Ч169
Diagnostics: distribution theory      175
Diagnostics: leverage values      169Ч172 177
Diagnostics: maximum likelihood estimate (MLE)      184Ч185
Diagnostics: multinomial logistic regression model      280Ч287
Diagnostics: Pearson chi-square statistic      174
Diagnostics: residual sum-of-square      167Ч168
Diagnostics: residuals      178Ч179
Diagnostics: UIS case study      184
Dichotomous covariate      339Ч340
Dichotomous independent variable, fitted logistic regression      48Ч56
Dichotomous logistic regression      1 43
Discrete choice model      260
Discrete variables      22 33
Discriminant analysis      21 138
Discriminant function: analysis      See Discriminant function analysis
Discriminant function: multiple logistic regression      43Ч44
Discrimination, goodness-of-fit assessment      160 163
Distribution functions      5Ч6
Due regression sum-of-squares      12
Dummy variables      32
Effect modifier      70
EGRET      85 152 326Ч327
Error: estimated standard      138Ч139
Error: fitted logistic regression      58
Error: logistic regression      6Ч7
Error: multiple logistic regression      34 42
Estimation methods: logistic regression models      21Ч23
Estimation methods: multinomial logistic regression      264Ч273
Events per parameter      346
Exchangeable correlation matrix      314
Exchangeable correlation, correlated data analysis      313
Explanatory variables      1
External validation, goodness-of-fit      186Ч188
Extrabinomial variation      185
F-distribution      213Ч214
F-test      116
Fisher's Exact Test      334
Fit assessment: 1Ч1 matched study      236Ч243
Fit assessment: 1ЧM matched study      248Ч259
Fit assessment: exercises      200Ч202
Fit assessment: external validation      186Ч118
Fit assessment: logistic regression diagnostics      167Ч186
Fit assessment: results, interpretation and presentation of      188Ч200
Fit assessment: summary measures of goodness-of-fit      See Goodness-of-fit assessment factors
Fitted logistic regression model, interpretation of: $2\times2$ tables, stratified analysis compared with      79Ч85
Fitted logistic regression model, interpretation of: confounding      70Ч74
Fitted logistic regression model, interpretation of: continuous independent variable      63Ч64
Fitted logistic regression model, interpretation of: dichotomous independent variable      48Ч56
Fitted logistic regression model, interpretation of: exercises      88Ч90
Fitted logistic regression model, interpretation of: fitted values      85Ч88
Fitted logistic regression model, interpretation of: interaction      70Ч74
Fitted logistic regression model, interpretation of: link function      48
Fitted logistic regression model, interpretation of: multivariable model      64Ч69
Fitted logistic regression model, interpretation of: odds ratio, estimation in presence of interaction      74Ч79
Fitted logistic regression model, interpretation of: polychotomous independent variable      56Ч72
Fitted values, fitted logistic regression      85Ч88
Fitting: assessment of      See Fit assessment; Goodness-of-fit assessment
Fitting: correlated data analysis      320 326Ч330
Fitting: multinomial logistic regression      279Ч287
Fitting: ordinal logistic regression model      291Ч292
Fitting: stepwise logistic regression      117Ч120
Fractional polynomials, variable selection      100Ч103 109 111
Furnival Ч Wilson algorithm      128
GEE (generalized estimating equations)      312Ч316
Generalized additive model, variable selection      103Ч104
Goodness-of-fit assessment factors: classification tables      156Ч160 188
Goodness-of-fit assessment factors: Hosmer Ч Lemeshow tests      147Ч156 327 338
Goodness-of-fit assessment factors: interaction      188Ч189
Goodness-of-fit assessment factors: interpretation of      164 183Ч184
Goodness-of-fit assessment factors: Pearson chi-square statistic and deviance      145Ч147 152Ч154 181 218 327
Goodness-of-fit assessment factors: Pearson correlation coefficient      164Ч165
Goodness-of-fit assessment factors: ROC Curve, area under      160Ч164
Goodness-of-fit: assessment of      See Goodness-of-fit assessment factors
Goodness-of-fit: defined      143
Goodness-of-fit: fitted logistic regression      85
Goodness-of-fit: logistic regression, generally      11 13
Goodness-of-fit: sample size issues      339Ч347
Grouping, goodness-of-fit      176
Hat matrix      168
Homogeneity test      82Ч83
Hosmer Ч Lemeshow tests      147Ч156 187 327 338
ICU study      23Ч25
Identity function      47
Independent model, correlated data analysis      313
Independent variables: continuous      63Ч69
Independent variables: dichotomous      48Ч56
Independent variables: fitted logistic regression      47 54
Independent variables: logistic regression      1Ч2 6Ч7 14
Independent variables: polychotomous      56Ч62
Information sandwich estimator      315
Interaction: best subsets linear regression      136Ч137
Interaction: defined      69
Interaction: fitted logistic regression      70Ч74 98
Interaction: goodness-of-fit assessment      188Ч189
Interaction: stepwise logistic regression      125Ч128
Interaction: variable selection      98Ч99
Intercept coefficient      47 135
Least squares: logistic regression      7Ч8
Least squares: multiple logistic regression      43
Leverage values, goodness-of-fit assessment      169Ч172 177
Likelihood equations      8 33
Likelihood function: logistic regression model, generally      8
Likelihood function: multinomial logic regression      262
Likelihood function: multiple logistic regression      33
Likelihood function: sampling models      206 209 212
Likelihood ratio test: correlated data analysis      321
Likelihood ratio test: goodness-of-fit assessment      146
Likelihood ratio test: logistic regression      13 15Ч16
Likelihood ratio test: multiple logistic regression      37
Likelihood ratio test: variable selection      97 120
Likelihood ratio: defined      13
Likelihood ratio: multinomial logistic regression      276Ч277
Likelihood ratio: ordinal logistic regression model      305Ч307
Likelihood ratio: stepwise linear regression      117
Likelihood ratio: test      See Likelihood ratio test
Likelihood ratio: variable selection and      92 117
Limits, fitted logistic regression      59
Linear regression model, logistic distinguished from with      1 6Ч7
Link function, fitted logistic regression      47Ч48
Log likelihood function: best subsets linear regression      123
Log likelihood function: case-control studies      211
Log likelihood function: correlated data analysis      316
Log likelihood function: logistic regression model, generally      8 15
Log likelihood function: multinomial logistic regression      270
Log likelihood function: multiple logistic regression      34
Log-odds ratio: fitted linear regression      63Ч64 67Ч68 75Ч76 79
Log-odds ratio: linear regression      18
Logistic distribution, generally      6
Logistic regression model: coefficients, testing for significance of      11Ч17
Logistic regression model: confidence interval estimation      17Ч23
Logistic regression model: data sets      23Ч28
Logistic regression model: estimation methods      21Ч23
Logistic regression model: exact methods for      330Ч339
Logistic regression model: example of      2Ч7
Logistic regression model: exercises      29Ч30
Logistic regression model: fitting      7Ч10
Logistic regression model: interpretation of      See Fitted logistic regression model
Logistic regression model: model-building strategies      See Model-building strategies
Logistic regression model: purpose of      1
Logistic regression model: sample size issues      339Ч347
Logit: fitted logistic regression      48 67 70Ч71 73Ч75
Logit: logistic regression      17Ч19
Logit: multiple logistic regression      31Ч32 40 42
Logit: transformation      6 48
Logit: variable selection      97
LogXact 4      331 334 338
Low birth weight study: correlated data analysis      318Ч330
Low birth weight study: fitted linear regression      77 80 86Ч88
Low birth weight study: logistic regression      25
Low birth weight study: matched case-control study      230Ч243
Low birth weight study: multiple logistic regression      35Ч38
Low birth weight study: ordinal logistic regression model      292Ч308
m-asymptotics      145 147 150 175Ч176 187 210
Main effects model      98
Mammography experience study      265Ч287
Mantel Ч Haenszel estimator      79Ч80 82Ч83 85
Matched case-control studies      1ЧM matched study
Matched case-control studies, characteristics of      223Ч226
Matrix notation, best subsets logistic regression      128Ч129. See also Specific types of matrices
Maximum likelihood estimation (MLE): best subsets linear regression      128 130Ч131
Maximum likelihood estimation (MLE): case-control studies      208 226
Maximum likelihood estimation (MLE): fitted logistic regression      63 84
Maximum likelihood estimation (MLE): goodness-of-fit assessment      173 184
Maximum likelihood estimation (MLE): logistic regression      8Ч10 23
Maximum likelihood estimation (MLE): matched case-control studies      226Ч227
Maximum likelihood estimation (MLE): multinomial logistic regression      263
Maximum likelihood estimation (MLE): multiple logistic regression      33
Maximum likelihood estimation (MLE): ordinal logistic regression models      291
Maximum likelihood estimation (MLE): stepwise logistic regression      121
Maximum likelihood estimation (MLE): variable selection      100
Median unbiased estimator (MUE)      337
Model-building strategies: best subsets      128Ч135
Model-building strategies: covariates      138
Model-building strategies: exercises      142
Model-building strategies: fitting      140
Model-building strategies: numerical problems      135Ч141
Model-building strategies: overfitting      135Ч136
Model-building strategies: pooling      136Ч137
Model-building strategies: stepwise logistic regression      116Ч128
Model-building strategies: variable selection      92Ч116
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