Testing whether treatment is 'better' than control with ordered categorical data: an evaluation of new methodology.
A new test procedure is presented for the problem of testing whether a treatment is better than a control when there is ordered categorical data. The new test is based on the methodology developed for general 'one-sided' alternatives by Cohen and Sackrowitz. An evaluation of the test is made by comparing the power and expected p-values of the test with those of the Wilcoxon-Mann-Whitney test in examples. As predicted by the theoretical work by Cohen and Sackrowitz, the new test is seen to be preferable to the Wilcoxon-Mann-Whitney test. Computer programs to assist implementation of the new test are made available.
Cohen
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A
Rutgers University, Department of Statistics, Hill Center/Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA.
Sackrowitz
H B
HB
Sackrowitz
M
M
D003627:Data Interpretation, Statistical; D006801:Humans; D008432:Mathematical Computing; D009716:Numerical Analysis, Computer-Assisted; D011336:Probability; D018401:Sample Size; D012984:Software; D016896:Treatment Outcome