This non-parametric statistical procedure, often utilized in conjunction with a specific software package, assesses whether two independent samples originate from the same distribution. As an alternative to the independent samples t-test, it is appropriate when the data violate the assumptions of normality or when dealing with ordinal data. For example, one might employ this method to compare the satisfaction scores (rated on a scale) of customers using two different product designs.
Its significance lies in its ability to analyze data without stringent distributional requirements, making it a versatile tool in various research domains. Historically, it provided researchers with a robust approach to comparing groups before the widespread availability of powerful computing resources and more complex statistical methods. The benefit is a reliable means of detecting differences between populations even when parametric assumptions are not met, increasing the validity of research findings.
