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Volumn 15, Issue 4, 1996, Pages 361-387

Multivariable prognostic models: Issues in developing models, evaluating assumptions and adequacy, and measuring and reducing errors

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; HUMAN; MULTIVARIATE ANALYSIS; PROGNOSIS; PROSTATE CANCER; REGRESSION ANALYSIS; STATISTICAL MODEL; SURVIVAL TIME;

EID: 0030069896     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19960229)15:4<361::AID-SIM168>3.0.CO;2-4     Document Type: Article
Times cited : (7974)

References (72)
  • 2
    • 0022786756 scopus 로고
    • Probabilistic prediction in patient management
    • Spiegelhalter, D. J. 'Probabilistic prediction in patient management', Statistics in Medicine, 5, 421-433 (1986).
    • (1986) Statistics in Medicine , vol.5 , pp. 421-433
    • Spiegelhalter, D.J.1
  • 4
    • 0001099662 scopus 로고
    • The relative effectiveness of procedures commonly used in multiple regression analysis for dealing with missing values
    • Donner, A. 'The relative effectiveness of procedures commonly used in multiple regression analysis for dealing with missing values', American Statistician, 36, 378-381 (1982).
    • (1982) American Statistician , vol.36 , pp. 378-381
    • Donner, A.1
  • 6
    • 0001342385 scopus 로고
    • A method of estimation of missing values in multivariate data suitable for use with an electronic computer
    • Buck, S. F. 'A method of estimation of missing values in multivariate data suitable for use with an electronic computer', Journal of the Royal Statistical Society, Series B, 22, 302-307 (1960).
    • (1960) Journal of the Royal Statistical Society, Series B , vol.22 , pp. 302-307
    • Buck, S.F.1
  • 7
    • 0000417397 scopus 로고
    • The estimation of variance-covariance and correlation matrices from incomplete data
    • Timm, N. H. 'The estimation of variance-covariance and correlation matrices from incomplete data', Psychometrika, 35, 417-437 (1970).
    • (1970) Psychometrika , vol.35 , pp. 417-437
    • Timm, N.H.1
  • 8
    • 2642593438 scopus 로고
    • The PRINQUAL procedure
    • SAS Institute, Cary NC, chapter 34
    • Kuhfeld, W. F. 'The PRINQUAL procedure', in SAS/STAT User's Guide, 4th edn., vol. 2, SAS Institute, Cary NC, 1990, chapter 34, pp. 1265-1323.
    • (1990) SAS/STAT User's Guide, 4th Edn. , vol.2 , pp. 1265-1323
    • Kuhfeld, W.F.1
  • 9
    • 0024166286 scopus 로고
    • Non-parametric analysis of treatment-covariate interaction in the presence of censoring
    • Schemper, M. 'Non-parametric analysis of treatment-covariate interaction in the presence of censoring', Statistics in Medicine, 7, 1257-1266 (1988).
    • (1988) Statistics in Medicine , vol.7 , pp. 1257-1266
    • Schemper, M.1
  • 10
    • 0000209388 scopus 로고
    • The regression analysis of binary sequences (with discussion)
    • Cox, D. R. 'The regression analysis of binary sequences (with discussion)', Journal of the Royal Statistical Society, Series B, 20, 215-242 (1958).
    • (1958) Journal of the Royal Statistical Society, Series B , vol.20 , pp. 215-242
    • Cox, D.R.1
  • 11
    • 0014095845 scopus 로고
    • Estimation of the probability of an event as a function of several independent variables
    • Walker, S. H. and Duncan, D. B. 'Estimation of the probability of an event as a function of several independent variables', Biometrika, 54, 167-178 (1967).
    • (1967) Biometrika , vol.54 , pp. 167-178
    • Walker, S.H.1    Duncan, D.B.2
  • 17
    • 85004844353 scopus 로고
    • Backward, forward and stepwise automated subset selection algorithms: Frequency of obtaining authentic and noise variables
    • Derksen S. and Keselman, H. J. 'Backward, forward and stepwise automated subset selection algorithms: Frequency of obtaining authentic and noise variables', British Journal of Mathematical and Statistical Psychology, 45, 265-282 (1992).
    • (1992) British Journal of Mathematical and Statistical Psychology , vol.45 , pp. 265-282
    • Derksen, S.1    Keselman, H.J.2
  • 18
    • 0025817111 scopus 로고
    • The effects of transformations and preliminary tests for non-linearity in regression
    • Grambsch, P. M. and O'Brien, P. C. The effects of transformations and preliminary tests for non-linearity in regression', Statistics in Medicine, 10, 697-709 (1991).
    • (1991) Statistics in Medicine , vol.10 , pp. 697-709
    • Grambsch, P.M.1    Obrien, P.C.2
  • 21
    • 0027965087 scopus 로고
    • Assessment of predictive models for binary outcomes: An empirical approach using operative death from cardiac surgery
    • Marshall, G., Grover, F. L., Henderson, W. G. and Hammermeister, K. E. 'Assessment of predictive models for binary outcomes: an empirical approach using operative death from cardiac surgery', Statistics in Medicine, 13, 1501-1511 (1994).
    • (1994) Statistics in Medicine , vol.13 , pp. 1501-1511
    • Marshall, G.1    Grover, F.L.2    Henderson, W.G.3    Hammermeister, K.E.4
  • 24
    • 1842285951 scopus 로고
    • Problems and potentials in modelling survival
    • Grady, M. L. and Schwartz, H. A. (eds.), US Dept. of Health and Human Services, Agency for Health Care Policy and Research, Rockville, Maryland
    • Smith, L. R., Harrell, F. E. and Muhlbaier, L. H. 'Problems and potentials in modelling survival', in: Grady, M. L. and Schwartz, H. A. (eds.), Medical Effectiveness Research Data Methods (Summary Report), AHCPR Pub. No. 92-0056 US Dept. of Health and Human Services, Agency for Health Care Policy and Research, Rockville, Maryland, 1992, pp. 151-159.
    • (1992) Medical Effectiveness Research Data Methods (Summary Report), AHCPR Pub. No. 92-0056 , pp. 151-159
    • Smith, L.R.1    Harrell, F.E.2    Muhlbaier, L.H.3
  • 25
    • 0024596532 scopus 로고
    • Flexible regression models with cubic splines
    • Durrieman, S. and Simon, R. 'Flexible regression models with cubic splines', Statistics in Medicine, 8, 551-561 (1989).
    • (1989) Statistics in Medicine , vol.8 , pp. 551-561
    • Durrieman, S.1    Simon, R.2
  • 26
    • 0023696452 scopus 로고
    • Regression models in clinical studies: Determining relationships between predictors and response
    • Harrell, F. E., Lee, K. L. and Pollock, B. G. 'Regression models in clinical studies: determining relationships between predictors and response', Journal of the National Cancer Institute, 80, 1198-1202 (1988).
    • (1988) Journal of the National Cancer Institute , vol.80 , pp. 1198-1202
    • Harrell, F.E.1    Lee, K.L.2    Pollock, B.G.3
  • 27
    • 0345368521 scopus 로고
    • Regression splines in the Cox model with application to covariate effects in liver disease
    • Sleeper, L. A. and Harrington, D. P. 'Regression splines in the Cox model with application to covariate effects in liver disease', Journal of the American Statistical Association, 85, 941-949 (1990).
    • (1990) Journal of the American Statistical Association , vol.85 , pp. 941-949
    • Sleeper, L.A.1    Harrington, D.P.2
  • 30
    • 77956890008 scopus 로고
    • Martingale-based residuals for survival models
    • Therneau, T. M., Grambsch, P. M. and Fleming, T. R. 'Martingale-based residuals for survival models', Biometrika, 77, 216-218 (1990).
    • (1990) Biometrika , vol.77 , pp. 216-218
    • Therneau, T.M.1    Grambsch, P.M.2    Fleming, T.R.3
  • 31
    • 77956888457 scopus 로고
    • Partial residuals for the proportional hazards regression model
    • Schoenfeld, D. 'Partial residuals for the proportional hazards regression model', Biometrika, 69, 239-241 (1982).
    • (1982) Biometrika , vol.69 , pp. 239-241
    • Schoenfeld, D.1
  • 32
    • 0001018122 scopus 로고
    • Investigating time dependence in Cox's proportional hazards model
    • Pettitt A. N. and Bin Daud, I. 'Investigating time dependence in Cox's proportional hazards model', Applied Statistics, 39, 313-329 (1990).
    • (1990) Applied Statistics , vol.39 , pp. 313-329
    • Pettitt, A.N.1    Bin Daud, I.2
  • 35
    • 0003906335 scopus 로고
    • Technical Report 5, Laboratory for Computational Statistics, Department of Statistics, Stanford University
    • Friedman, J. H. 'A variable span smoother', Technical Report 5, Laboratory for Computational Statistics, Department of Statistics, Stanford University, 1984.
    • (1984) A Variable Span Smoother
    • Friedman, J.H.1
  • 36
    • 84936916896 scopus 로고
    • Robust locally weighted regression and smoothing scatterplots
    • Cleveland, W. S. 'Robust locally weighted regression and smoothing scatterplots', Journal of the American Statistical Association, 74, 829-836 (1979).
    • (1979) Journal of the American Statistical Association , vol.74 , pp. 829-836
    • Cleveland, W.S.1
  • 37
    • 0003445803 scopus 로고
    • StatSci, a division of MathSoft, Inc., Seattle WA
    • Statistical Sciences, S-Plus User's Manual, Version 3.2., StatSci, a division of MathSoft, Inc., Seattle WA, 1993.
    • (1993) S-Plus User's Manual, Version 3.2.
  • 38
    • 0003010182 scopus 로고
    • Verification of forecasts expressed in terms of probability
    • Brier, G. W. 'Verification of forecasts expressed in terms of probability,' Monthly Weather Review, 75, 1-3 (1950).
    • (1950) Monthly Weather Review , vol.75 , pp. 1-3
    • Brier, G.W.1
  • 42
    • 21144472187 scopus 로고
    • Flexible methods for analyzing survival data using splines, with applications to breast cancer prognosis
    • Gray, R. J. 'Flexible methods for analyzing survival data using splines, with applications to breast cancer prognosis', Journal of the American Statistical Association, 87, 942-951 (1992).
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 942-951
    • Gray, R.J.1
  • 44
    • 0003267522 scopus 로고
    • Nonparametric tests of independence for censored data, with applications to heart transplant studies
    • Proschan, F. and Serfling,R. J. (eds), SIAM, Philadelphia
    • Brown, B. W., Hollander, M. and Korwar, R. M. 'Nonparametric tests of independence for censored data, with applications to heart transplant studies', in: Proschan, F. and Serfling,R. J. (eds), Reliability and Biometry, SIAM, Philadelphia, 1974.
    • (1974) Reliability and Biometry
    • Brown, B.W.1    Hollander, M.2    Korwar, R.M.3
  • 45
    • 84980189918 scopus 로고
    • Analyses of associations with censored data by generalized Mantel and Breslow tests and generalized Kendall correlation
    • Schemper, M. 'Analyses of associations with censored data by generalized Mantel and Breslow tests and generalized Kendall correlation', Biometrical Journal, 26, 309-318 (1984).
    • (1984) Biometrical Journal , vol.26 , pp. 309-318
    • Schemper, M.1
  • 46
    • 49549139345 scopus 로고
    • The area above the ordinal dominance graph and the area below the receiver operating characteristic graph
    • Bamber, D. 'The area above the ordinal dominance graph and the area below the receiver operating characteristic graph', Journal of Mathematical Psychology, 12, 387-415 (1975).
    • (1975) Journal of Mathematical Psychology , vol.12 , pp. 387-415
    • Bamber, D.1
  • 47
    • 0020083498 scopus 로고
    • The meaning and use of the area under a receiver operating characteristic (ROC) curve
    • Hanley, J. A. and McNeil, B. J. 'The meaning and use of the area under a receiver operating characteristic (ROC) curve', Radiology, 143, 29-36 (1982).
    • (1982) Radiology , vol.143 , pp. 29-36
    • Hanley, J.A.1    McNeil, B.J.2
  • 48
    • 0018579684 scopus 로고
    • A rank statistic for assessing the amount of variation explained by risk factors in epidemiologic studies
    • Liu, K. and Dyer, A. R. 'A rank statistic for assessing the amount of variation explained by risk factors in epidemiologic studies', American Journal of Epidemiology, 109, 597-606 (1979).
    • (1979) American Journal of Epidemiology , vol.109 , pp. 597-606
    • Liu, K.1    Dyer, A.R.2
  • 49
    • 77956887506 scopus 로고
    • A note on a general definition of the coefficient of determination
    • Nagelkerke, N. J. D. 'A note on a general definition of the coefficient of determination', Biometrika, 78, 691-692 (1991).
    • (1991) Biometrika , vol.78 , pp. 691-692
    • Nagelkerke, N.J.D.1
  • 52
    • 0025286476 scopus 로고
    • Measures of explained variation for survival data
    • Korn, E. L. and Simon, R. 'Measures of explained variation for survival data', Statistics in Medicine, 9, 487-503 (1990).
    • (1990) Statistics in Medicine , vol.9 , pp. 487-503
    • Korn, E.L.1    Simon, R.2
  • 54
    • 84950461478 scopus 로고
    • Estimating the error rate of a prediction rule: Improvement on cross-validation
    • Efron, B. 'Estimating the error rate of a prediction rule: improvement on cross-validation', Journal of the American Statistical Association, 78, 316-331 (1983).
    • (1983) Journal of the American Statistical Association , vol.78 , pp. 316-331
    • Efron, B.1
  • 55
    • 0024596535 scopus 로고
    • Assessing diagnostic tests by a strictly proper scoring rule
    • Linnet, K. 'Assessing diagnostic tests by a strictly proper scoring rule', Statistics in Medicine, 8, 609-618 (1989).
    • (1989) Statistics in Medicine , vol.8 , pp. 609-618
    • Linnet, K.1
  • 56
    • 84945737762 scopus 로고
    • A leisurely look at the bootstrap, the jackknife, and cross-validation
    • Efron, B. and Gong, G. 'A leisurely look at the bootstrap, the jackknife, and cross-validation', American Statistician, 37, 36-48 (1983).
    • (1983) American Statistician , vol.37 , pp. 36-48
    • Efron, B.1    Gong, G.2
  • 57
    • 80053264999 scopus 로고
    • How biased is the apparent error rate of a prediction rule?
    • Efron, B. 'How biased is the apparent error rate of a prediction rule?', Journal of the American Statistical Association, 81, 461-470 (1986).
    • (1986) Journal of the American Statistical Association , vol.81 , pp. 461-470
    • Efron, B.1
  • 59
    • 33947227575 scopus 로고
    • Prediction error and its estimation for subset-selected models
    • Roecker, E. B. 'Prediction error and its estimation for subset-selected models', Technometrics, 33, 459-468 (1991).
    • (1991) Technometrics , vol.33 , pp. 459-468
    • Roecker, E.B.1
  • 60
    • 0001587464 scopus 로고
    • The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error
    • Breiman, L. 'The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error', Journal of the American Statistical Association, 87, 738-754 (1992).
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 738-754
    • Breiman, L.1
  • 61
    • 0001720618 scopus 로고
    • A note on the generalized information criterion for choice of a model
    • Atkinson, A. C. 'A note on the generalized information criterion for choice of a model', Biometrika, 67, 413-418 (1980).
    • (1980) Biometrika , vol.67 , pp. 413-418
    • Atkinson, A.C.1
  • 62
    • 0028986666 scopus 로고
    • A comparison of analytic methods for non-random missingness of outcome data
    • Crawford, S. L., Tennstedt, S. L. and McKinlay, J. B. 'A comparison of analytic methods for non-random missingness of outcome data', Journal of Clinical Epidemiology, 48, 209-219 (1995).
    • (1995) Journal of Clinical Epidemiology , vol.48 , pp. 209-219
    • Crawford, S.L.1    Tennstedt, S.L.2    McKinlay, J.B.3
  • 63
    • 84950942444 scopus 로고
    • Why stepdown procedures in variable selection
    • Mantel, N. 'Why stepdown procedures in variable selection', Technometrics, 12, 621-625 (1970).
    • (1970) Technometrics , vol.12 , pp. 621-625
    • Mantel, N.1
  • 64
    • 0024320123 scopus 로고
    • Bootstrap investigation of the stability of a Cox regression model
    • Altman, D. G. and Andersen, P. K. 'Bootstrap investigation of the stability of a Cox regression model', Statistics in Medicine, 8, 771-783 (1989).
    • (1989) Statistics in Medicine , vol.8 , pp. 771-783
    • Altman, D.G.1    Andersen, P.K.2
  • 65
    • 0001159321 scopus 로고
    • The impact of model selection on inference in linear regression
    • Hurvich, C. M. and Tsai, C. L. 'The impact of model selection on inference in linear regression', American Statistician, 44, 214-217 (1990).
    • (1990) American Statistician , vol.44 , pp. 214-217
    • Hurvich, C.M.1    Tsai, C.L.2
  • 67
    • 0019216788 scopus 로고
    • The choice of treatment for cancer patients based on covariate information: Application to prostate cancer
    • Paris
    • Byar, D. P. and Green, S. B. 'The choice of treatment for cancer patients based on covariate information: application to prostate cancer', Bulletin Cancer, Paris, 67, 477-488 (1980).
    • (1980) Bulletin Cancer , vol.67 , pp. 477-488
    • Byar, D.P.1    Green, S.B.2
  • 68
    • 0022681316 scopus 로고
    • Treatment effects in competing-risks analysis of prostate cancer data
    • Kay, R. 'Treatment effects in competing-risks analysis of prostate cancer data', Biometrics, 42, 203-211 (1986).
    • (1986) Biometrics , vol.42 , pp. 203-211
    • Kay, R.1
  • 69
    • 0027081755 scopus 로고
    • A bootstrap resampling procedure for model building: Application to the Cox regression model
    • Sauerbrei, W. and Schumacher, M. 'A bootstrap resampling procedure for model building: Application to the Cox regression model', Statistics in Medicine, 11, 2093-2109, (1992).
    • (1992) Statistics in Medicine , vol.11 , pp. 2093-2109
    • Sauerbrei, W.1    Schumacher, M.2
  • 71
    • 13344289020 scopus 로고
    • Programs available from statlib@lib.stat.cmu.edu. Send E-mail 'send survival4 from S,'
    • Therneau, T. 'Survival4: S functions for survival analysis. Programs available from statlib@lib.stat.cmu.edu. Send E-mail 'send survival4 from S,' 1995.
    • (1995) Survival4: S Functions for Survival Analysis
    • Therneau, T.1
  • 72
    • 70449647008 scopus 로고
    • Proportional hazards tests and diagnostics based on weighted residuals
    • Grambsch, P. and Therneau, T. 'Proportional hazards tests and diagnostics based on weighted residuals', Biometrika, 81, 515-526 (1994).
    • (1994) Biometrika , vol.81 , pp. 515-526
    • Grambsch, P.1    Therneau, T.2


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