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. Author manuscript; available in PMC: 2020 Apr 1.
Published in final edited form as: Am J Epidemiol. 2019 Apr 1;188(4):709–723. doi: 10.1093/aje/kwy265

Table 1.

Combinations of Confounder Summary Score, Confounding Adjustment Method, Data-Sharing Approach, and Outcome Type Evaluated

Confounding adjustment method & data-sharing approach Statistical analysis performed at the analysis center
Binary outcomea Time-to-event outcomeb
Propensity score
Stratification
 Pooled individual-level PS- and site-stratified (Reference) PS- and site-stratified (Reference)
 Risk-set PS- and site-stratified Case-centered logistic regressionc
 Summary-tabled PS- and site-stratified PS- and site-stratified conditional Poisson regression
 Effect-estimate Inverse variance-weighted meta-analysis Inverse variance-weighted meta-analysis
Matching
 Pooled individual-level PS-matched, site-stratified (Reference) PS-matched, site-stratified (Reference)
 Risk-set PS-matched, site-stratified Case-centered logistic regression
 Summary-table PS-matched, site-stratified PS-matched, site-stratified conditional Poisson regression
 Effect-estimate Inverse variance-weighted meta-analysis Inverse variance-weighted meta-analysis
Inverse probability weighting
 Pooled individual-level Inverse probability weighted, site-stratified (Reference) Inverse probability weighted, site-stratified (Reference)
 Risk-set Inverse probability weighted, site-stratified Inverse probability weighted, site-stratified
 Summary-table Not established Not established
 Effect-estimate Inverse variance-weighted meta-analysis Inverse variance-weighted meta-analysis
Matching weighting
 Pooled individual-level Matching weighted, site-stratified (Reference) Matching weighted, site-stratified (Reference)
 Risk-set Matching weighted, site-stratified Matching weighted, site-stratified
 Summary-table Not established Not established
 Effect-estimate Inverse variance-weighted meta-analysis Inverse variance-weighted meta-analysis
Disease risk score
Stratification
 Pooled individual-level DRS- and site-stratified (Reference) DRS- and site-stratified (Reference)
 Risk-set DRS- and site-stratified Case-centered logistic regression
 Summary-table DRS- and site-stratified DRS- and site-stratified conditional Poisson regression
 Effect-estimate Inverse variance-weighted meta-analysis Inverse variance-weighted meta-analysis
Matching
 Pooled individual-level DRS-matched, site-stratified (Reference) DRS-matched, site-stratified (Reference)
 Risk-set DRS-matched, site-stratified Case-centered logistic regression
 Summary-table DRS-matched, site-stratified DRS-matched, site-stratified conditional Poisson regression
 Effect-estimate Inverse variance-weighted meta-analysis Inverse variance-weighted meta-analysis
Inverse probability weighting
 Pooled individual-level Not established Not established
 Risk-set Not established Not established
 Summary-table Not established Not established
 Effect-estimate Not established Not established
Matching weighting
 Pooled individual-level Not established Not established
 Risk-set Not established Not established
 Summary-table Not established Not established
 Effect-estimate Not established Not established

Note: DRS= disease risk score; PS= propensity score

a

Unless otherwise specified, logistic regression was used to obtain estimates of odds ratios and their 95% confidence intervals for binary outcomes.

b

Unless otherwise specified, Cox proportional hazards regression was used to obtain estimates of hazard ratios and their 95% confidence intervals for time-to-event outcomes.

c

Case-centered logistic regression is a logistic regression model with the proportion of exposed outcome events among all events as the dependent variable and the log odds of having the study exposure in the risk-set as the independent variable, specified as an offset (9). Each risk-set, anchored by a unique outcome event time, comprises patients who experienced the outcome and patients who were still at risk of developing the outcome at that time point. When combined with confounder summary scores, the risk-set is created within a matched cohort or stratum defined by the confounder summary score within a site. In this particular analysis, each risk-set comprised the patient or patients who developed the outcome plus all other at-risk patients belonging to the same propensity score stratum at the time of the event within each site.

d

In situations where the regression-based analysis was not feasible for the summary-table data-sharing approach, we used the Mantel-Haenszel method to compute a weighted estimate for the desired effect estimate.