Non-parametric algorithm for constructing classification structure of the leakage test characteristics
The problems of correct and effective choice of the methods and means used for leakage monitoring by penetrating substances (gases) on the basis of certain criteria are considered. Methods of mathematical statistics are used for classification analysis of the main characteristics of the leakage test methods and approaches in the framework of general theoretical research to prioritize them in compliance with current GOST 51780-2001. In other words, an attempt has been made to search for and identify the effective ways of ordering the classification structure from the main characteristics of the methods and means of leak testing necessary for the researcher at the preparatory stage of testing. This is partly due to the lack of clear recommendations in this standard regarding the significance of these characteristics for leakage control in real conditions and possibility of its implementation. The procedure rests on the proposed nonparametric algorithm which includes classification of the characteristics based on pairwise clustering. The expert evaluation method is used for effective addressing the problem of nonparametric analysis. Solutions of multivariate analysis are given for the problem of inverse reduction of characteristics to a small number of groups formed on the basis of generalizing features using discriminative analysis on the basis of nonparametric criteria to check statistically significant difference. Comparatively high posterior probability of attributing the classification features to the groups distributed among six clusters is determined as a result of studying characteristics pertaining mainly to the leakage test facilities (as the most numerous ones compared to test methods). We also consider and assess the possibility of introducing some clarifications to refine the current standard.