A four action problem with ordered categorical data: are two distributions the same, ordered, or otherwise?
Consider a 2 × J contingency table under the product multinomial model when the J categories are ordered. We compare the two distributions by deciding among the following four choices: (i) distributions are the same; (ii) distribution 1 is stochastically larger than distribution 2; (iii) distributio...
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Published in | Statistics & probability letters Vol. 70; no. 3; pp. 223 - 234 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Amsterdam
Elsevier B.V
01.12.2004
Elsevier |
Series | Statistics & Probability Letters |
Subjects | |
Online Access | Get full text |
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Summary: | Consider a
2
×
J
contingency table under the product multinomial model when the
J
categories are ordered. We compare the two distributions by deciding among the following four choices: (i) distributions are the same; (ii) distribution 1 is stochastically larger than distribution 2; (iii) distribution 2 is stochastically larger than distribution 1; (iv) neither (i), (ii), or (iii). A four action problem is posed and two procedures are considered. One ad hoc and the second procedure is a conditional Bayes procedure, where the conditioning is on the marginal row and column totals.
The problem was motivated by a data set comparing survey methods dealing with economic damage to farms by deer. |
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ISSN: | 0167-7152 1879-2103 |
DOI: | 10.1016/j.spl.2004.10.012 |