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American Journal of Epidemiology Vol. 115, No. 1: 92-106
Copyright © 1982 by The Johns Hopkins University School of Hygiene and Public Health


research-article

A REVIEW OF GOODNESS OF FIT STATISTICS FOR USE IN THE DEVELOPMENT OF LOGISTIC REGRESSION MODELS1

STANLEY LEMESHOW and DAVID W. HOSMER, JR.

Send reprint requests to Dr. Lemeshow at this address

Several statistics have recently been proposed for the purpose of assessing the goodness of fit of an estimated logistic regression model. These statistics are reviewed and compared to other, less formal, procedures in the context of applications in epidemiologic research. One statistic is recommended for use and its computation is illustrated using data from a recent study of mortality of intensive care unit patients.

intensive care units; mortality; regression analysis; risk; statistics


From the Biostatistics/Epidemiology Program, Division of Public Health, School of Health Sciences, University of Massachusetts, Amherst, MA 01003


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Cancer Res.Home page
K. A. McGlynn, K. Hunter, T. LeVoyer, J. Roush, P. Wise, R. A. Michielli, F.-M. Shen, A. A. Evans, W. T. London, and K. H. Buetow
Susceptibility to Aflatoxin B1-related Primary Hepatocellular Carcinoma in Mice and Humans
Cancer Res., August 1, 2003; 63(15): 4594 - 4601.
[Abstract] [Full Text] [PDF]


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ChestHome page
J. A. Krishnan, P. B. Parce, A. Martinez, G. B. Diette, and R. G. Brower
Caloric Intake in Medical ICU Patients: Consistency of Care With Guidelines and Relationship to Clinical Outcomes
Chest, July 1, 2003; 124(1): 297 - 305.
[Abstract] [Full Text] [PDF]


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Educational and Psychological MeasurementHome page
J. E. King
Running a Best-Subsets Logistic Regression: An Alternative to Stepwise Methods
Educational and Psychological Measurement, June 1, 2003; 63(3): 392 - 403.
[Abstract] [PDF]


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Arch Intern MedHome page
S. P. Patil, J. A. Krishnan, N. Lechtzin, and G. B. Diette
In-Hospital Mortality Following Acute Exacerbations of Chronic Obstructive Pulmonary Disease
Arch Intern Med, May 26, 2003; 163(10): 1180 - 1186.
[Abstract] [Full Text] [PDF]


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Anesth. Analg.Home page
J. Klasen, A. Junger, B. Hartmann, M. Benson, A. Jost, A. Banzhaf, M. Kwapisz, and G. Hempelmann
Differing Incidences of Relevant Hypotension with Combined Spinal-Epidural Anesthesia and Spinal Anesthesia
Anesth. Analg., May 1, 2003; 96(5): 1491 - 1495.
[Abstract] [Full Text] [PDF]


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ANN INTERN MEDHome page
E. L. Knight, M. J. Stampfer, S. E. Hankinson, D. Spiegelman, and G. C. Curhan
The Impact of Protein Intake on Renal Function Decline in Women with Normal Renal Function or Mild Renal Insufficiency
Ann Intern Med, March 18, 2003; 138(6): 460 - 467.
[Abstract] [Full Text] [PDF]


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Arch SurgHome page
J. B. Dimick, J. A. Cowan Jr, J. A. Knol, and G. R. Upchurch Jr
Hepatic Resection in the United States: Indications, Outcomes, and Hospital Procedural Volumes From a Nationally Representative Database
Arch Surg, February 1, 2003; 138(2): 185 - 191.
[Abstract] [Full Text] [PDF]


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JAMAHome page
R. L. Mehta, M. T. Pascual, S. Soroko, G. M. Chertow, and for the PICARD Study Group
Diuretics, Mortality, and Nonrecovery of Renal Function in Acute Renal Failure
JAMA, November 27, 2002; 288(20): 2547 - 2553.
[Abstract] [Full Text] [PDF]


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Emerg. Med. J.Home page
H Miles, E Litton, A Curran, L Goldsworthy, P Sharples, and A J Henderson
The PATRIARCH Study. Using outcome measures for league tables: Can a North American prediction of admission score be used in a United Kingdom children's emergency department?
Emerg. Med. J., November 1, 2002; 19(6): 536 - 538.
[Abstract] [Full Text] [PDF]


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Arch. Dis. Child.Home page
S M Tibby, D Taylor, M Festa, S Hanna, M Hatherill, G Jones, P Habibi, A Durward, and I A Murdoch
A comparison of three scoring systems for mortality risk among retrieved intensive care patients
Arch. Dis. Child., November 1, 2002; 87(5): 421 - 425.
[Abstract] [Full Text] [PDF]


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CirculationHome page
W. S. Weintraub
Prediction Scores After Myocardial Infarction: Value, Limitations, and Future Directions
Circulation, October 29, 2002; 106(18): 2292 - 2293.
[Full Text] [PDF]


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CirculationHome page
M. Singh, G. S. Reeder, S. J. Jacobsen, S. Weston, J. Killian, and V. L. Roger
Scores for Post-Myocardial Infarction Risk Stratification in the Community
Circulation, October 29, 2002; 106(18): 2309 - 2314.
[Abstract] [Full Text] [PDF]


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JAMAHome page
M. S. Vaughan-Sarrazin, E. L. Hannan, C. J. Gormley, and G. E. Rosenthal
Mortality in Medicare Beneficiaries Following Coronary Artery Bypass Graft Surgery in States With and Without Certificate of Need Regulation
JAMA, October 16, 2002; 288(15): 1859 - 1866.
[Abstract] [Full Text] [PDF]


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Arch Intern MedHome page
N. Koren-Morag, D. Tanne, E. Graff, U. Goldbourt, and for the Bezafibrate Infarction Prevention Study Gr
Low- and High-Density Lipoprotein Cholesterol and Ischemic Cerebrovascular Disease: The Bezafibrate Infarction Prevention Registry
Arch Intern Med, May 13, 2002; 162(9): 993 - 999.
[Abstract] [Full Text] [PDF]


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J. Am. Soc. Nephrol.Home page
R. L. Mehta, M. T. Pascual, C. G. Gruta, S. Zhuang, and G. M. Chertow
Refining Predictive Models in Critically Ill Patients with Acute Renal Failure
J. Am. Soc. Nephrol., May 1, 2002; 13(5): 1350 - 1357.
[Abstract] [Full Text] [PDF]


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Arch Intern MedHome page
S. B. Soumerai, T. J. McLaughlin, D. Ross-Degnan, C. L. Christiansen, and J. H. Gurwitz
Effectiveness of Thrombolytic Therapy for Acute Myocardial Infarction in the Elderly: Cause for Concern in the Old-Old
Arch Intern Med, March 11, 2002; 162(5): 561 - 568.
[Abstract] [Full Text] [PDF]


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Arch SurgHome page
M. A. Schreiber, N. Aoki, B. G. Scott, and J. R. Beck
Determinants of Mortality in Patients With Severe Blunt Head Injury
Arch Surg, March 1, 2002; 137(3): 285 - 290.
[Abstract] [Full Text] [PDF]


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Arch. Dis. Child.Home page
A J Henderson, L Garland, S Warne, L Bailey, P Weir, and S Edees
Risk adjusted mortality of critical illness in a defined geographical region
Arch. Dis. Child., March 1, 2002; 86(3): 194 - 199.
[Abstract] [Full Text] [PDF]


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JAMAHome page
V. Pettila, C. Melot, F. Lopes-Ferreira, and J.-L. Vincent
Sequential Assessment of Multiple Organ Dysfunction as a Predictor of Outcome
JAMA, February 13, 2002; 287(6): 713 - 714.
[Full Text] [PDF]


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CirculationHome page
D. Tanne, N. Koren-Morag, E. Graff, and U. Goldbourt
Blood Lipids and First-Ever Ischemic Stroke/Transient Ischemic Attack in the Bezafibrate Infarction Prevention (BIP) Registry: High Triglycerides Constitute an Independent Risk Factor
Circulation, December 11, 2001; 104(24): 2892 - 2897.
[Abstract] [Full Text] [PDF]


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Am. J. Respir. Crit. Care Med.Home page
D. C. ANGUS, W. T. LINDE-ZWIRBLE, G. CLERMONT, M. F. GRIFFIN, and R. H. CLARK
Epidemiology of Neonatal Respiratory Failure in the United States . Projections from California and New York
Am. J. Respir. Crit. Care Med., October 1, 2001; 164(7): 1154 - 1160.
[Abstract] [Full Text] [PDF]


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ChestHome page
R. A. Incalzi, V. Bellia, F. Catalano, N. Scichilone, C. Imperiale, S. Maggi, and F. Rengo
Evaluation of Health Outcomes in Elderly Patients With Asthma and COPD Using Disease-Specific and Generic Instruments : The Salute Respiratoria nell'Anziano (Sa.R.A.) Study
Chest, September 1, 2001; 120(3): 734 - 742.
[Abstract] [Full Text] [PDF]


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Int J EpidemiolHome page
C Laurent, D Henzel, C Mulanga-Kabeya, G Maertens, B Larouze, and E Delaporte
Seroepidemiological survey of hepatitis C virus among commercial sex workers and pregnant women in Kinshasa, Democratic Republic of Congo
Int. J. Epidemiol., August 1, 2001; 30(4): 872 - 877.
[Abstract] [Full Text] [PDF]


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PediatricsHome page
L. W. Doyle and for the Victorian Infant Collaborative Study Group
Outcome at 5 Years of Age of Children 23 to 27 Weeks' Gestation: Refining the Prognosis
Pediatrics, July 1, 2001; 108(1): 134 - 141.
[Abstract] [Full Text] [PDF]


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Nephrol Dial TransplantHome page
R. L. Lins, M. Elseviers, R. Daelemans, and M. E. De Broe
Problems in the development, validation and adaptation of prognostic models for acute renal failure
Nephrol. Dial. Transplant., June 1, 2001; 16(6): 1098 - 1101.
[Full Text] [PDF]



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