On the Potential Application of Uniformity Tests in Circular Statistics to Chemical Processes

Abstract

Three methods of circular statistics: Rao’s spacing test, Kuiper’s V-test, and Rayleigh’s test based on the mean resultant length are applied to examine the hypothesis of uniform data distribution (i) in a hypothetical study of decaying effectiveness of electrocatalysis, and (ii) in a tank flow reactor with excessive local temperatures (“hot spots”). Numerical illustrations involve test results indicating rejection, or failure of rejection, for the null hypothesis of population uniformity. The results confirm the power of Rao’s method demonstrated in pertinent literature.