2019
DOI: 10.1186/s12874-019-0878-6
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Privacy-protecting estimation of adjusted risk ratios using modified Poisson regression in multi-center studies

Abstract: BackgroundMulti-center studies can generate robust and generalizable evidence, but privacy considerations and legal restrictions often make it challenging or impossible to pool individual-level data across data-contributing sites. With binary outcomes, privacy-protecting distributed algorithms to conduct logistic regression analyses have been developed. However, the risk ratio often provides a more transparent interpretation of the exposure-outcome association than the odds ratio. Modified Poisson regression h… Show more

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Cited by 7 publications
(9 citation statements)
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“…Modified Poisson regression was used to determine the association between receipt of FP counselling and current use of modern contraception, prevalence ratio (PR) was used as the measure of association. Modified Poisson regression directly estimates prevalence ratios and produces confidence intervals with the correct nominal coverage when individual-level data are available [22,23]. We used sample weights calculated based on the multistage sampling design in all analyses.…”
Section: Discussionmentioning
confidence: 99%
“…Modified Poisson regression was used to determine the association between receipt of FP counselling and current use of modern contraception, prevalence ratio (PR) was used as the measure of association. Modified Poisson regression directly estimates prevalence ratios and produces confidence intervals with the correct nominal coverage when individual-level data are available [22,23]. We used sample weights calculated based on the multistage sampling design in all analyses.…”
Section: Discussionmentioning
confidence: 99%
“…The unrestricted benchmarks are the estimates of 𝛽 w in (21), denoted as βw,bm , and its estimated variance, denoted as V𝛽 w ,bm , from the combined data.…”
Section: Unrestricted Benchmarksmentioning
confidence: 99%
“…Specifically, early studies in meta-analysis and meta-regression analysis provide inference, but largely center around combining randomized controlled trials, and a typically used pooling approach is IVW. 16,17 Recently, a growing number of studies develop privacy-preserving methods to provide inference by pooling aggregate data across multiple studies: most of them are tailored to specific parametric models, including linear models, 18,19 logit models, 20 Poisson models, 21 Cox models, 22,23 and generalized linear models 24 , while Jordan et al 25 and Duan et al 26 consider the efficient pooling of the more general MLE. Among these studies, only Toh et al 18 and Shu et al 22 account for nonrandom treatment assignments by using propensity scores, though the asymptotic theory is lacking.…”
Section: Introductionmentioning
confidence: 99%
“…There is often only a single parameter of interest in meta-analysis and a linear functional form imposed in meta-regression analysis. Recent studies develop privacy-preserving methods to pool the summarylevel information across multiple studies for broader classes of models such as linear models (Toh et al, 2018, Li et al, 2019, logistic models (Li et al, 2016), Poisson models (Shu et al, 2019), and GLM (Wolfson et al, 2010)); only a few of these studies provide pooling methods for confidence intervals, but they are restricted to specific models and lack asymptotic theory for the pooling methods (e.g., Poisson models (Shu et al, 2019) or Cox models (Shu et al, 2020)).…”
Section: Introductionmentioning
confidence: 99%
“…For example, the federated estimators in logistic models(Fienberg et al, 2006, Slavkovic et al, 2007, Li et al, 2016, Poisson models(Shu et al, 2019), and MLE(Blatt and Hero, 2004, Karr et al, 2007, Zhao and Nehorai, 2007, Lin and Karr, 2010, Snoke et al, 2018.4 An iterative approach can provide estimators that are closer to those from the pooled individual-level data. However, we show that, asymptotically, the difference between iterative and non-iterative approaches is a higher order term that can be neglected.…”
mentioning
confidence: 99%