Tests of Monotone Trend in K Poisson Means

Article

Lee, Young Jack   (1985, ASQC)   NINCDS, NIH, Federal Building, MD

Journal of Quality Technology    Vol. 17    No. 1
QICID: 5523    January 1985    pp. 44-49
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Article Abstract

Given k independent Poisson populations, suppose one is interested in testing the null hypothesis that all the means are equal against an ordered alternative. Three approaches to this problem are considered: the maximin statistic, the Armitage statistic, and a modified version of the Jorgenson statistics. A simulation study of powers for moderate E(Y1) with k=4 shows that all three approaches are comparable in power. Considering its simplicity, efficiency and general applicability, the maximin statistic is the recommended test for monotone trend in k independent Poisson means.

Keywords

Statistics,Statistical methods,Ordered categories,Poisson distribution


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