 A four action problem with ordered categorical data: are two distributions the same, ordered, or otherwise?A. Cohen, J. Kolassa and H.B. Sackrowitz Statistics & Probability Letters, 2004, vol. 70, issue 3, 223-234 Abstract: Consider a 2xJ 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. Keywords: Contingency; table; Stochastic; ordering; Fisher's; statistic; Wilcoxon-Mann-Whitney; statistic; Chi-square; statistic; Bayes; procedure; Concordance; monotonicity (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:70:y:2004:i:3:p:223-234 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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