Estimating cell probabilities under order-restricted odds ratios

نویسندگان

  • Wei Gao
  • Ning-Zhong Shi
چکیده

In medical, biological and social science, three-dimensional contingency tables with ordered categories usually arise and one expects a monotone association, yet one may prefer not to assume a particular parametric model. One of its key roles is how to estimate its parameters under monotonic restrictions. In this paper, we propose an algorithm to compute the maximum likelihood estimation under an ordered restriction placed on odds ratios. © 2004 Elsevier B.V. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Estimating and contextualizing the attenuation of odds ratios due to non-collapsibility

The odds ratio is a measure commonly used for expressing the association between an exposure and a binary outcome. A feature of the odds ratio is that its value depends on the choice of the distribution over which the probabilities in the odds ratio are evaluated. In particular, this means that an odds ratio conditional on a covariate may have a different value from an odds ratio marginal on th...

متن کامل

Maximum likelihood estimates with order restrictions on probabilities and odds ratios: A geometric programming approach

The problem of assigning cell probabilities to maximize a multinomial likelihood with order restrictions on the probabilies and or restrictions on the local odds ratios is modeled as a posynomial geometric program GP a class of nonlinear optimization problems with a well developed duality theory and collection of algorithms Local odds ratios provide a measure of association between categorical ...

متن کامل

R Package multgee: A Generalized Estimating Equations Solver for Multinomial Responses

This introduction to the R package multgee is a slightly modified version of ?, published in the Journal of Statistical Software. To cite multgee in publications, please use ?. To cite the GEE methodology implemeted in multgee, please use ?. The R package multgee implements the local odds ratios generalized estimating equations (GEE) approach proposed by ?, a GEE approach for correlated multino...

متن کامل

How Much More Likely? The Implications of Odds Ratios for Probabilities

Binary outcome data are common in research and evaluation. They are often analyzed using logistic regression, and results of these analyses are often reported in the form of odds ratios (ORs). However, ORs are not directly interpretable in the metric commonly used in policy-relevant discussions, which concerns probabilities. ORs are unfamiliar to nonresearchers, and their relationship to probab...

متن کامل

Pooling dietary data using questionnaires with open-ended and predefined responses: implications for comparing mean intake or estimating odds ratios.

In the current era of diet-gene analyses, large sample sizes are required to uncover the etiology of complex diseases. As such, consortia form and often combine available data. Food frequency questionnaires, which commonly use 2 different types of responses about the frequency of intake (predefined responses and open-ended responses), may be pooled to achieve the desired sample size. The common...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Computational Statistics & Data Analysis

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2005