Abstract

This study examines the effects of heterogeneity of variance on the probability of making the correct selection when using the means procedure for selecting the population with the largest mean from a set of independent normal populations. The study is conducted by using Monte Carlo simulation techniques for 3, 4, and 5 normal populations as an application of pattern recognition and classification. The population means and standard deviations are assumed to be equally-spaced. Two types of heterogeneity of variane are considered: (1) associating larger variances with larger means, and (2) associating smaller variances with larger means.

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