Dmitry Klyushin

A Nonparametric Test for the Equivalence of Populations Based on a Measure of Proximity of Samples

We propose a new measure of proximity of samples based on confidence limits for the bulk of a population constructed using order statistics. For this measure of proximity, we compute approximate confidence limits corresponding to a given significance level in the cases where the null hypothesis on the equality of hypothetical distribution functions may or may not be true. We compare this measure of proximity with the Kolmogorov–Smirnov and Wilcoxon statistics for samples from various populations. On the basis of the proposed measure of proximity, we construct a statistical test for testing the hypothesis on the equality of hypothetical distribution functions.

Analysis of Malignancy‐Associated DNA Changes in the Nuclei of Buccal Epithelium in the Pathology of the Thyroid and Mammary Glands

Abstract: The object of the investigation reported in this paper was to study, from the point of view of statistical and geometric theory of pattern recognition, the DNA optical density distribution peculiarities in the interphase nuclei of buccal epithelium present in the pathology of the thyroid and mammary glands. Two new indices to characterize this distribution (ratio of modal class volumes and relief index) are proposed. It is shown that in malignant neoplasms of the thyroid and mammary glands the changes in the nuclei of buccal epithelium are characterized by an increase in the optical density of DNA over a range from 0.15 to 0.30 in conventional units of measure, as compared with its values in benign pathological processes. The sensitivity of the proposed criterion for diseases of the thyroid gland is equal to 76.2% and the specificity is equal to 85.8%. For diseases of the mammary gland (excluding IDLC) we have discovered that the sensitivity of the method is equal to 94.29% and its specificity equal to 90.91%. In diseases of the mammary gland (including IDLC) we have discovered that the sensitivity of the method is equal to 71.42% and its specificity is equal to 90.91%.