Methods for trend estimation from summarized dose-response data, with applications to meta-analysis.

Meta-analysis often requires pooling of correlated estimates to compute regression slopes (trends) across different exposure or treatment levels. The authors propose two methods that account for the correlations but require only the summary estimates and marginal data from the studies. These methods provide more efficient estimates of regression slope, more accurate variance estimates, and more valid heterogeneity tests than those previously available. One method also allows estimation of nonlinear trend components, such as quadratic effects. The authors illustrate these methods in a meta-analysis of alcohol use and breast cancer.

[1]  H. A. Kahn The Dorn study of smoking and mortality among U.S. veterans: report on eight and one-half years of observation. , 1966, National Cancer Institute monograph.

[2]  Stephen E. Fienberg,et al.  Discrete Multivariate Analysis: Theory and Practice , 1976 .

[3]  The use of logistic regression for modelling risk factors: with application to non-melanoma skin cancer. , 1978, American journal of epidemiology.

[4]  A. Whittemore Collapsibility of Multidimensional Contingency Tables , 1978 .

[5]  S. Shapiro,et al.  ORAL-CONTRACEPTIVE USE IN RELATION TO MYOCARDIAL INFARCTION , 1979, The Lancet.

[6]  S. Shapiro,et al.  Coffee drinking and myocardial infarction in young women. , 1980, American Journal of Epidemiology.

[7]  N. Breslow,et al.  Statistical methods in cancer research. Vol. 1. The analysis of case-control studies. , 1981 .

[8]  T. Hirayama Non-smoking wives of heavy smokers have a higher risk of lung cancer: a study from Japan. , 1981, British medical journal.

[9]  S Greenland,et al.  The relative efficiencies of matched and independent sample designs for case-control studies. , 1983, Journal of chronic diseases.

[10]  E. Frome The analysis of rates using Poisson regression models. , 1983, Biometrics.

[11]  W. Willett,et al.  Moderate alcohol consumption and the risk of breast cancer. , 1987, The New England journal of medicine.

[12]  N. Breslow,et al.  Statistical methods in cancer research. Volume II--The design and analysis of cohort studies. , 1987, IARC scientific publications.

[13]  S H Moolgavkar,et al.  General relative risk regression models for epidemiologic studies. , 1987, American journal of epidemiology.

[14]  S Greenland,et al.  Quantitative methods in the review of epidemiologic literature. , 1987, Epidemiologic reviews.

[15]  T C Chalmers,et al.  A meta-analysis of alcohol consumption in relation to risk of breast cancer. , 1988, JAMA.

[16]  T. Rohan,et al.  Alcohol consumption and risk op breast cancer , 1988, International journal of cancer.

[17]  John A. Nelder,et al.  Generalized linear models. 2nd ed. , 1993 .