Monte Carlo Investigation of the Probability Distributions of Dixon's Criteria for Testing Outlying Observations

摘要

An empirical or Monte Carlo method for determining the distribution of Dixon-type sample statistics for testing outlying observations is presented. Results are tabulated for samples generated from a normal distribution and for samples generated from a uniform distribution. The method employed was to select random samples of sizes n = 5, 10, 15 and 20 from each of the aforementioned distributions. After ordering the sample values such that X sub 1