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[en] Highlights: • Wilks’ method for setting tolerance limits is derived and verified. • Higher order Wilks analysis increases the accuracy and precision of the predicted tolerance. • In most practical applications, higher order analysis is unnecessary. • Wilks’ method is applied to the Dittus-Boelter equation. - Abstract: Wilks’ non-parametric method for setting tolerance limits using order statistics has recently become popular in the nuclear industry. The method allows analysts to predict a desired tolerance limit with some confidence that the estimate is conservative. The method is popular because it is simple and fits well into established regulatory frameworks. A critical analysis of the underlying statistics is presented in this work, including a derivation, analytical and statistical verification, and a broad discussion. Possible impacts of the underlying assumptions for application to computational tools are discussed. An in-depth discussion of the order statistic rank used in Wilks’ formula is provided, including when it might be necessary to use a higher rank estimate.