2018
DOI: 10.1093/aje/kwy158
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The Number of Events per Confounder for Valid Estimation of Risk Difference Using Modified Least-Squares Regression

Abstract: Risk difference is a relevant effect measure in epidemiologic research. Although it is well known that when there are few events per confounder, logistic regression is not suitable for confounding control, it is not clear how many events per confounder are required for valid estimation of risk difference using linear binomial models. Because the maximum likelihood method has a convergence problem, we investigated the number of events per confounder necessary to validly estimate risk difference using modified l… Show more

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Cited by 5 publications
(4 citation statements)
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“…Several candidate methods are available for enhancing the performance of standard errors and the resulting confidence intervals. In modified Poisson regression, sandwich standard errors with small sample correction may be explored, as has been considered for linear regression [ 32 ] and modified least-squares regression for risk difference estimation [ 33 , 34 ]. In regression standardization, the bootstrap method may be preferred for small sample sizes if the computational time is not critical [ 13 , 35 ].…”
Section: Discussionmentioning
confidence: 99%
“…Several candidate methods are available for enhancing the performance of standard errors and the resulting confidence intervals. In modified Poisson regression, sandwich standard errors with small sample correction may be explored, as has been considered for linear regression [ 32 ] and modified least-squares regression for risk difference estimation [ 33 , 34 ]. In regression standardization, the bootstrap method may be preferred for small sample sizes if the computational time is not critical [ 13 , 35 ].…”
Section: Discussionmentioning
confidence: 99%
“…For continuous outcomes, the mean difference was estimated using linear models, adjusting study and baseline serum zinc concentration as fixed-effect covariates. For binomial outcomes, the risk difference was estimated with linear probability models by the modified least-squares method, adjusting study as a fixed-effect covariate [19,20]. Heterogeneity of treatment effects between trials was tested with the interaction term between treatment and study as a fixed effect.…”
Section: Discussionmentioning
confidence: 99%
“…Data were compared using one‐way analysis of variance, the Chi‐squared test, and Fisher's exact test, as appropriate. Differences in risk and robust 95% confidence intervals (CIs) of contamination according to sites and topical disinfectants were estimated using uni‐ and multivariate analyses with modified least‐squares regression and a robust standard error estimator 17,18 . The same patients were considered to be a random effect in the above model.…”
Section: Methodsmentioning
confidence: 99%
“…Differences in risk and robust 95% confidence intervals (CIs) of contamination according to sites and topical disinfectants were estimated using uni‐ and multivariate analyses with modified least‐squares regression and a robust standard error estimator. 17 , 18 The same patients were considered to be a random effect in the above model. Age, sex, and doctors' experience were adjusted as confounders in multivariate analyses.…”
Section: Methodsmentioning
confidence: 99%