On generalized multinomial models and joint percentile estimation
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
On generalized multinomial models and joint percentile estimation
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Creator |
DAS, I
MUKHOPADHYAY, S |
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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 |
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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.
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Publisher |
ELSEVIER SCIENCE BV
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Date |
2014-12-28T15:29:27Z
2014-12-28T15:29:27Z 2014 |
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Type |
Article
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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 |
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Language |
English
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