Šiame baigiamajame magistro darbe analizuojamos kriterijaus suderinamumo hipotezėms tikrinti savybės. Siekiama jį patikslinti, įvedant kriterijaus statistikos korekciją . Atlikus klasikinio ir modifikuoto kriterijų tikslumo palyginamąją analizę, naudojant modeliuotas reikšmes, padaryta keletas išvadų. Kriterijus, kuris remiasi statistika , šiek tiek patikslina hipotezių tikrinimo rezultatus, tačiau, kai imtis yra pakankamai didelė, kriterijų tikslumas beveik nesiskiria. Be to, kriterijus, kuris remiasi modeliuotomis reikšmėmis taip pat yra pakankamai tikslus. Taigi, naudojantis šiuolaikinėmis pažangiomis technologijomis, ir, modeliuojant pakankamai didelę a.d. imtį, šio kriterijaus galėtų pakakti, kad patikrinti suderinamumo hipotezę. Skaičiavimų palengvinimui sukurtos makroprogramos a.d. momentams skaičiuoti ir a.d. realizacijoms modeliuoti. / The main purpose of this master thesis is to improve the clasical chi square goodness of fit test so that it would depend less on the rule, according to which the data is divided into intervals, and on the hypothetical probabilities. The tasks of the paper are the following: • To examine (according to the literature ([1], [2], [3])) theoretical and applied aspects of constructing chi square test; • To analyse the methods of graphic representation of the empirical characteristics of the data and graphic comparison with their theoretical equivalents. Altogether to look through the ways of dividing the data into intervals (determining their number and length); • To calculate the mean, variance and third central moment of chi square test statistics and to analyse their properties; • To create a macro for counting the previously mentioned three moments using SAS software; • To create a macro for modeling statistics and to construct goodness of fit test according to the modeled values using SAS software; • To construct an aproximate modified chi square goodness of fit test based on a new statistics; • To perform comparison of the clasical and modified goodness of fit tests, having the modeled values; Analysis of graphing the empirical data and comparison with the theoretical equivalents has showed that the distribution (density) is recognised easier when the probabilities of values to be prescribed to certain intervals are equal. This way the execution of computations is easier as... [to full text]