Analysis of means based on Rayleigh variate

Abstract

A measurable quality characteristic is assumed to follow a Rayleigh distribution which is an important skewed distribution in statistical inference and related fields. The statistical technique used in illustrating important variations among groups of data employed commonly in quality control, Analysis of Means methodology compares the mean of each group to the overall process mean to detect statistically significant differences is called Analysis of Means. This principle enables us to work out the decision lines. The preferabilility of the proposed Analysis of Means decision lines over that of Ott (1967) based on normal and half logistic distribution is illustrated by some examples.