Methods of adjustment for estimating the attributable risk in case-control studies: a review.

In the 1980's, progress was made in adjusting estimates of the attributable risk (AR) for confounding factors and in calculating associated confidence intervals. In this paper, methods of adjustment for estimation of the AR in case-control studies are reviewed. The limitations and problems associated with two methods based on stratification, the weighted-sum approach and the Mantel-Haenszel approach, are discussed. They include small-sample bias with the weighted-sum approach and the difficulty of taking interaction into account with the Mantel-Haenszel approach. A third method based on logistic regression is reviewed. It is argued that this latter method has the greatest generality and flexibility, and includes the two other approaches as special cases. Throughout the paper, an example of a case-control study of oesophageal cancer illustrates the use of the methods described.

[1]  D P Byar,et al.  Estimating the population attributable risk for multiple risk factors using case-control data. , 1985, American journal of epidemiology.

[2]  W. Haenszel,et al.  Statistical aspects of the analysis of data from retrospective studies of disease. , 1959, Journal of the National Cancer Institute.

[3]  A S Whittemore,et al.  Statistical methods for estimating attributable risk from retrospective data. , 1982, Statistics in medicine.

[4]  S. Walter.  Effects of interaction, confounding and observational error on attributable risk estimation. , 1983, American journal of epidemiology.

[5]  S. Walter.  The distribution of Levin's measure of attributable risk , 1975 .

[6]  W Schill,et al.  Attributable risk estimation from case-control data via logistic regression. , 1991, Biometrics.

[7]  H. Valkenburg,et al.  Estimation of the possible effect of interventive measures in the area of ischemic heart diseases by the attributable risk percentage. , 1977, American journal of epidemiology.

[8]  S. Greenland.  Variance estimators for attributable fraction estimates consistent in both large strata and sparse data. , 1987, Statistics in medicine.

[9]  Mitchell H. Gail,et al.  A Delta Method for Implicitly Defined Random Variables , 1989 .

[10]  J R Landis,et al.  Summary attributable risk estimation from unmatched case-control data. , 1988, Statistics in medicine.

[11]  Gary G. Koch,et al.  Average Partial Association in Three-way Contingency Tables: a Review and Discussion of Alternative Tests , 1978 .

[12]  N Breslow,et al.  Estimators of the Mantel-Haenszel variance consistent in both sparse data and large-strata limiting models. , 1986, Biometrics.

[13]  L. Pickle,et al.  Regression methods for estimating attributable risk in population-based case-control studies: a comparison of additive and multiplicative models. , 1991, American Journal of Epidemiology.

[14]  K J Rothman,et al.  Synergy and antagonism in cause-effect relationships. , 1974, American journal of epidemiology.

[15]  J Benichou,et al.  Variance calculations and confidence intervals for estimates of the attributable risk based on logistic models. , 1990, Biometrics.

[16]  J. Romeder,et al.  Premature mortality attributable to smoking and hazardous drinking in Canada. , 1979, American journal of epidemiology.

[17]  S D Walter,et al.  Prevention for multifactorial diseases. , 1980, American journal of epidemiology.

[18]  B. Macmahon,et al.  Attributable risk percent in case-control studies. , 1971, British journal of preventive & social medicine.

[19]  A. Whittemore.  Estimating attributable risk from case-control studies. , 1983, American journal of epidemiology.

[20]  J R Landis,et al.  Attributable risk estimation from matched case-control data. , 1988, Biometrics.

[21]  Estimation of Attributable Risk in the Presence of Confounding , 1979 .

[22]  L L Kupper,et al.  Comparisons of confidence intervals for attributable risk. , 1981, Biometrics.

[23]  S. Walter.  The estimation and interpretation of attributable risk in health research. , 1976, Biometrics.

[24]  O S Miettinen,et al.  Proportion of disease caused or prevented by a given exposure, trait or intervention. , 1974, American journal of epidemiology.

[25]  Levin Ml,et al.  The occurrence of lung cancer in man. , 1953, Acta - Unio Internationalis Contra Cancrum.

[26]  N. Breslow,et al.  Statistical methods in cancer research: volume 1- The analysis of case-control studies , 1980 .

[27]  R. L. Prentice,et al.  Retrospective studies and failure time models , 1978 .

[28]  Norman E. Breslow,et al.  Odds ratio estimators when the data are sparse , 1981 .