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Table 7 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 underweight (weight for age Z-score < -2) as the outcome, previous hospitalization as the risk factor and low birth weight as confounder (situation1).

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 2.48 -- 1.46 4.23 2.78 --
PR Poisson/Cox (unadj) 2.48 -0.2% 1.43 4.31 2.88 3.6%
PR Poisson (χ2) 2.48 -0.2% 1.44 4.26 2.82 1.5%
PR Poisson (deviance) 2.48 -0.2% 1.89 3.25 1.36 -51.1%
PR Poisson/Cox (robust) 2.48 -0.2% 1.46 4.22 2.76 -0.6%
PR log-binomial 2.48 -0.1% 1.46 4.22 2.77 -0.4%
OR logistic regression 2.64 6.3% 1.49 4.68 3.18 14.6%
Modified data Point estimate 95% Confidence interval
  value % diff. lower upper width % diff.
PR Mantel-Haenszel 2.61 -- 1.61 4.23 2.61 --
PR Poisson/Cox (unadj) 2.60 -0.4% 1.57 4.30 2.73 4.6%
PR Poisson (χ2) 2.60 -0.4% 1.59 4.26 2.67 2.4%
PR Poisson (deviance) 2.60 -0.4% 2.01 3.36 1.35 -48.3%
PR Poisson/Cox (robust) 2.60 -0.4% 1.61 4.19 2.58 -1.2%
PR log-binomial 2.61 -0.1% 1.61 4.21 2.60 -0.7%
OR logistic regression 2.85 9.3% 1.68 4.84 3.15 20.7%