Vienfaktorinės analizės taikymai matematinius pasiekimus lemiantiems faktoriams nustatyti

Abstract

In the master work there is a scientific problem raised and worked out: what are application possibilities of one factor method analysis and how this statistic method could be used to ascertain six class pupils‘ mathematical achievements at secondary school in Lithuania. The aim of this work is to establish applying one factor analysis the main factors, which destine mathematical achievements and taking them into consideration to make conclusions and recomendations how those achievements to improve. To achieve this aim there are such tasks raised, as to analyse the quality possibilities and exactness of one factor method by establishing the factors destined by mathematical achievements, to estimate exterior and interior factors on which depend mathematical achievements and to present conclusions and recomendation. By analysing and generalizing scientific literature and statistical data it was established that one factor analysis is good to process for ranked data, when the variable of sample are independable and they are distributed according to normal law and their dispersion are similar (do not differ more than three times) this method allowed the indications of measured objects to change by a smaller number of generalizing indications without losing its main information. By investigating the mathematical achievements of six – grade pupil‘s statistically significant differences according to ANOVA method it was estasblished, that the factors which destine it are the formation of erudition in a child‘s early childrenhood, age, the help of a family members clearing up difficult questions, better social economic conditions, the education of parents, the length of time they spend watching TV, the feeling of security at school, the point of view about the school, the atmosphere in a class, praises of teachers and parents and their achievements, the ability to study additionaly, the previous results from mathematics and point of view to mathematics. The pupil‘s sex, the language used at home with family members, discussions with parents about the time spent at school, the help of classmates and preliminary of accounted work analysis with a teacher are not predetermined factors.