Statistical features of the general population of patients with genital endometriosis

Abstract

Abstract. It is relevant to study the incidence of genital endometriosis, for which radical treatment methods have not been found yet. This study should also include a statistical analysis of the general population of patients included in the research, followed by clinical trials. Object and methods. A statistical analysis of the general population of patients was carried out with the following values: N (120), mode (Mo), median (Me), simple arithmetic mean (M) and its standard deviation (M ± δ), variation indicators (R-range): dispersion (D), standard deviation (δ); coefficient of variation (V); quartiles (Q) and their range (IQR). We also determined the tkp value (according to the Student distribution table) with a probability of values of 0.95 and texp, as well as scattering indicators — minimum (min) and maximum (max), dispersion (S2), asymmetry (As), kurtosis (Ex), and others. To test the hypothesis about the type of distribution, we used the Pearson goodness-of-fit test. Additionally, the standard sampling error for the mean (E), the marginal sampling error (ε), and the confidence interval (CI) were estimated. Using the distribution table, we found the χ2 values; the random error of the lower (tL) and upper bound (tU), and the confidence interval of the standard deviation were calculated. Results and discussion. The following indicators were calculated: average and standard deviation (M ± δ); Mo and Me had an equal value. The sample range was calculated; the sample quartiles divided the given population into four equal parts, where Q2 (25 %) was equal to 30 years, Q1 (25 %) corresponded to 27 years, Q3 — to 34 years (25 %), and IQR corresponded to 7 years. Notably, 28 people were under 27 years old and over 34. To exclude anomalous distribution, outliers were determined using the Tukey method; outliers over 55 years turned out to be rigid. The value of the indicator V=18.89 % was determined; that was less than 30 %, which indicated the homogeneity of the population and weak variation. The standard sampling error for the mean (E), marginal sampling error (ε), and confidence interval for dispersion were calculated. The value of the χ2 indicator was estimated according to the distribution table. The random error of the dispersion of the lower (tL) and upper bound (tU) was determined. The significance score of the asymmetry index was calculated using the mean square error of the asymmetry coefficient (SAs). Conclusion. As it follows from statistical analysis, this general population had all the signs of a symmetrical normal distribution, therefore, the results obtained are trustworthy.