Odds ratio for 2 × 2 tables: Mantel-Haenszel estimator, profile likelihood, and presence of surrogate responses.
Use of surrogate outcome to improve the inference in biomedical problems is an area of growing interest. Here, we consider a setup where both the true and surrogate endpoints are binary and we observe all the surrogate endpoints along with a few true endpoints. In a two-treatment setup we study the surrogate-augmented Mantel-Haenszel estimator based on observations from different groups when the group effect is present. We compare the Mantel-Haenszel estimator with the one obtained by maximizing profile likelihood in a surrogate augmented setup. We observe that the performances of these estimators are very close.
a Applied Statistics Unit, Indian Statistical Institute , Kolkata , India.
Buddhananda
B
Banerjee
Atanu
A
Biswas
D015415:Biomarkers / Q000032:analysis; D015179:Colorectal Neoplasms / Q000401:mortality / Q000628:therapy; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D023381:Endpoint Determination / Q000706:statistics & numerical data*; D006801:Humans; D016013:Likelihood Functions; D015201:Meta-Analysis as Topic; D015233:Models, Statistical; D016017:Odds Ratio; D011237:Predictive Value of Tests; D016032:Randomized Controlled Trials as Topic / Q000706:statistics & numerical data*; D016019:Survival Analysis; D016896:Treatment Outcome
D015415:Biomarkers
Log-odds ratio; Mantel–Haenszel estimator; Profile likelihood; Surrogate endpoint; True endpoint