An asymptotically distribution-free test for ordered alternatives in two- way layouts
type: Item
instance of: scholarly article
title: An asymptotically distribution-free test for ordered alternatives in two- way layouts
zbMATH Open document ID: 0584.62066
DOI: 10.1016/0378-3758(86)90136-9
author: S. H. Mansouri Ghiassi
author: Z. Govindarajulu
published in: Journal of Statistical Planning and Inference
publication date: 1986-01-01T00:00:00Z
review text: An asymptotically distribution-free test is proposed for unequally spaced ordered alternatives in two-way layouts. The test statistic is a linear function of the ranks of residuals when the nuisance parameters are estimated. We show that the limiting distribution of the test statistic, when properly standardized, is normal. The asymptotic relative efficiency comparisons (in Pitman sense) with respect to the likelihood derivative test and nonparametric tests for randomized complete blocks show that our procedure is generally more powerful.
Mathematics Subject Classification ID: 62G10
Mathematics Subject Classification ID: 62K10
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 3936225
zbMATH Keywords: asymptotic normality
zbMATH Keywords: Pitman efficiency
zbMATH Keywords: U-statistics
zbMATH Keywords: asymptotically distribution-free test
zbMATH Keywords: unequally spaced ordered alternatives
zbMATH Keywords: two-way layouts
zbMATH Keywords: linear function of the ranks of residuals
zbMATH Keywords: likelihood derivative test
zbMATH Keywords: randomized complete blocks
MaRDI profile type: Publication
full work available at URL: 0378-3758(86)90136-9
OpenAlex ID: W2092258789
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description: scientific article; zbMATH DE number 3936225