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Statistics in Medicine
Article . 2017 . Peer-reviewed
License: Wiley Online Library User Agreement
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zbMATH Open
Article . 2018
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2018
License: arXiv Non-Exclusive Distribution
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Improving likelihood‐based inference in control rate regression

Improving likelihood-based inference in control rate regression
Authors: Guolo, Annamaria;

Improving likelihood‐based inference in control rate regression

Abstract

Control rate regression is a diffuse approach to account for heterogeneity among studies in meta‐analysis by including information about the outcome risk of patients in the control condition. Correcting for the presence of measurement error affecting risk information in the treated and in the control group has been recognized as a necessary step to derive reliable inferential conclusions. Within this framework, the paper considers the problem of small sample size as an additional source of misleading inference about the slope of the control rate regression. Likelihood procedures relying on first‐order approximations are shown to be substantially inaccurate, especially when dealing with increasing heterogeneity and correlated measurement errors. We suggest to address the problem by relying on higher‐order asymptotics. In particular, we derive Skovgaard's statistic as an instrument to improve the accuracy of the approximation of the signed profile log‐likelihood ratio statistic to the standard normal distribution. The proposal is shown to provide much more accurate results than standard likelihood solutions, with no appreciable computational effort. The advantages of Skovgaard's statistic in control rate regression are shown in a series of simulation experiments and illustrated in a real data example.Rcode for applying first‐ and second‐order statistic for inference on the slope on the control rate regression is provided.

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Italy
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Keywords

FOS: Computer and information sciences, Likelihood Functions, Models, Statistical, control rate; higher-order asymptotics; likelihood inference; measurement error; meta-analysis; Epidemiology; Statistics and Probability, higher-order asymptotics, Biostatistics, Applications of statistics to biology and medical sciences; meta analysis, likelihood inference, meta-analysis, Death, Methodology (stat.ME), control rate, 62F03, 62F05, 62P10, Meta-Analysis as Topic, Hypertension, Humans, Regression Analysis, Computer Simulation, Controlled Clinical Trials as Topic, measurement error, Statistics - Methodology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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bronze