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On generalized multinomial models and joint percentile estimation

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Title On generalized multinomial models and joint percentile estimation
 
Creator DAS, I
MUKHOPADHYAY, S
 
Subject Confidence regions
Multicategorical logistic link
Parameter orthogonality
Standardization
BINARY RESPONSE MODELS
I/II CLINICAL-TRIALS
LINEAR-MODELS
DOSE-RESPONSE
INTERVAL ESTIMATION
REGRESSION-MODELS
LOGISTIC-MODELS
DESIGNS
MISSPECIFICATION
TRANSFORMATION
 
Description This article proposes a family of link functions for the multinomial response model. The link family includes the multicategorical logistic link as one of its members. Conditions for the local orthogonality of the link and the regression parameters are given. It is shown that local orthogonality of the parameters in a neighbourhood makes the link family location and scale invariant. Confidence regions for jointly estimating the percentiles based on the parametric family of link functions are also determined. A numerical example based on a combination drug study is used to illustrate the proposed parametric link family and the confidence regions for joint percentile estimation. (C) 2013 Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-12-28T15:29:27Z
2014-12-28T15:29:27Z
2014
 
Type Article
 
Identifier JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 145190-203
0378-3758
1873-1171
http://dx.doi.org/10.1016/j.jspi.2013.08.015
http://dspace.library.iitb.ac.in/jspui/handle/100/16875
 
Language English