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BIAS IN THE PETO ONE-STEP ESTIMATOR FOR THE COMMON ODDS RATIO
Author(s) -
Toshiya Sato
Publication year - 2005
Publication title -
bulletin of informatics and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2435-743X
pISSN - 0286-522X
DOI - 10.5109/12587
Subject(s) - statistics , estimator , mathematics , odds , econometrics , odds ratio , logistic regression
The one-step method in the estimation of the common odds ratio proposed by Peto was used to summarize the results from meta-analysis. For some unbalanced data, it was known to have severe upward (non-null) asymptotic bias. In this paper, the asymptotic expectation of the Peto one-step estimator is derived and its bias is evaluated numerically over 1152 parameter combinations.

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