Journals Information
Universal Journal of Food and Nutrition Science(CEASE PUBLICATION) Vol. 1(2), pp. 11 - 15
DOI: 10.13189/ujfns.2013.010201
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A Note on Multiple Comparison Procedures for Analysis of Ranked Data
James A. Koziol *
College of Health, Human Services and Science, Ashford University
ABSTRACT
Ranked samples typically arise in sensory evaluation studies, in which a group of paneliests independently rank the same set of samples. In this setting, Christensen and colleagues (Journal of Food Science 71:S132-S143, 2006) have proposed a nonparametric procedure for multiple comparisons of the samples, based on the sums of the ranks of the samples, summed across the panelists鈥� rankings. Christensen and colleagues utilized a simulation procedure in order to estimate critical differences between rank sums, at various alpha levels and combinations of numbers of panelists and samples. In this note, exact distribution theory relating to the rank sums is derived, using probability generating functions; and, critical values can be determined through computer algebra.
KEYWORDS
Sensory Analysis, Friedman Rank Test, Probability Generating Functions, Multiple Comparisons
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] James A. Koziol , "A Note on Multiple Comparison Procedures for Analysis of Ranked Data," Universal Journal of Food and Nutrition Science(CEASE PUBLICATION), Vol. 1, No. 2, pp. 11 - 15, 2013. DOI: 10.13189/ujfns.2013.010201.
(b). APA Format:
James A. Koziol (2013). A Note on Multiple Comparison Procedures for Analysis of Ranked Data. Universal Journal of Food and Nutrition Science(CEASE PUBLICATION), 1(2), 11 - 15. DOI: 10.13189/ujfns.2013.010201.