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Table 9 Comparison of prevalence ratios and respective confidence interval estimates (obtained by unadjusted Poisson/Cox regression, Poisson regression with scale factor adjusted by χ2 and deviance, Poisson/Cox regression with robust variances, log-binomial regression and logistic regression) and odds ratio with confidence interval estimate (obtained by logistic regression) with the Mantel-Haenszel prevalence ratio in the analysis of the original and modified data using mother in a paid job as the outcome, father living with the family as the risk factor and social class as confounder (situation3).

From: Alternatives for logistic regression in cross-sectional studies: an empirical comparison of models that directly estimate the prevalence ratio

Original data Point estimate 95% Confidence interval
  value % diff. lower upper width % diff.
PR Mantel-Haenszel 1.69 -- 1.52 1.87 0.35 --
PR Poisson/Cox (unadj) 1.68 -0.3% 1.41 2.00 0.59 68.6%
PR Poisson (χ2) 1.68 -0.3% 1.49 1.90 0.41 17.2%
PR Poisson (deviance) 1.68 -0.3% 1.46 1.94 0.48 35.9%
PR Poisson/Cox (robust) 1.68 -0.3% 1.52 1.86 0.35 -1.5%
PR log-binomial 1.62 -4.0% 1.47 1.78 0.32 -10.4%
OR logistic regression 3.75 122.6% 2.72 5.17 2.45 597.6%
Modified data Point estimate   95% Confidence interval    
  value % diff. lower upper width % diff.
PR Mantel-Haenszel 1.58 -- 1.39 1.79 0.40 --
PR Poisson/Cox (unadj) 1.61 2.0% 1.31 1.97 0.66 63.2%
PR Poisson (χ2) 1.61 2.0% 1.40 1.85 0.45 10.3%
PR Poisson (deviance) 1.61 2.0% 1.37 1.89 0.53 31.0%
PR Poisson/Cox (robust) 1.61 2.0% 1.42 1.83 0.41 2.1%
PR log-binomial 1.71 8.7% 1.53 1.92 0.39 -4.7%
OR logistic regression 2.97 88.1% 2.14 4.11 1.96 385.9%