Simple Methods for Testing Treatment Constraints in Paired Comparisons
El-Helbawy, A. (1985). Simple Methods for Testing Treatment Constraints in Paired Comparisons. EKB Journal Management System, 29(2), 59-72. doi: 10.21608/esju.1985.316597
Abdalla T. El-Helbawy. "Simple Methods for Testing Treatment Constraints in Paired Comparisons". EKB Journal Management System, 29, 2, 1985, 59-72. doi: 10.21608/esju.1985.316597
El-Helbawy, A. (1985). 'Simple Methods for Testing Treatment Constraints in Paired Comparisons', EKB Journal Management System, 29(2), pp. 59-72. doi: 10.21608/esju.1985.316597
El-Helbawy, A. Simple Methods for Testing Treatment Constraints in Paired Comparisons. EKB Journal Management System, 1985; 29(2): 59-72. doi: 10.21608/esju.1985.316597

Simple Methods for Testing Treatment Constraints in Paired Comparisons

The Egyptian Statistical Journal
Article 3, Volume 29, Issue 2, December 1985, Page 59-72  XML
Document Type: Original Article
DOI: 10.21608/esju.1985.316597
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Author
Abdalla T. El-Helbawy
Abstract
Two simple methods for testing hypotheses stated in terms of linear equality constraints on the treatment parameters, in paired comparisons, or their logarithms are developed. The test statistic constructed for each method can be computed more easily than the corresponding likelihood ratio statistic -2 log λ. The asymptotic chi-square distribution of each of the constructed test statistics, together with the corresponding -2 log λ, is demonstrated and its noncentrality parameter is determined under defined local alternatives. Application of developed procedures for testing hypotheses about main effects and interactions, when the treatments are factorial treatment combinations, is outlined.
Keywords
Asymptotic Chi-Square; Equality Constraints; Factorial Treatments; Hypothesis Testing; Paired Comparisons; Test Statistics
Statistics
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