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Entropy based test of normality for ranked set samples

M. Mahdizadeh

Abstract


When the units to be sampled can be ranked relative to each other prior to formal measurement, ranked set sampling (RSS) is an appealing alternative to the commonly used simple random sampling (SRS). As a measure of uncertainty, entropy is being used in several branches of statistics. This article is concerned with testing normality based on sample entropy under RSS design and some of its variations. By simulation, the proposed tests are compared with the ordinary test based on SRS from a power perspective. The results confirm the preference of the new entropy tests in many situations.

Keywords


Information theory; Ranked set sampling; Test of fit.

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