应用经济和数学方法发展预测在普通中等教育领域

V. Gapon, Lyudmyla Chimbay
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摘要

俄罗斯联邦对乌克兰的军事侵略和在乌克兰实行戒严令,在收集、处理和分析必要的统计和行政资料方面造成了严重的问题。特别是,有必要预测2022/2023学年开始时普通中学一年级学生和学生入学人数,特别是预计将成为高等教育、学前职业教育和职业教育机构潜在进入者的离校生人数。在建立一年级学生人数预测模型时,我们确定了一个能充分描述该指标发展趋势的函数依赖关系,即求得预测值与实际的平均绝对偏差最小。在研究过程中,我们建立了预测各地区一年级学生人数的趋势模型,并确定了预测模型的数学特征。为了进行更详细的研究,我们考虑了因素分析模型,以检验一年级学生数量与出生儿童数量之间的关系。通过回归分析,确定了函数类型;计算所得指标的回归系数和理论值;并对方程和回归系数进行统计学显著性检验。通过这种方式,我们得到了2022/2023-2024/2025学年的学生人数目标预测。鉴于人口的大规模临时流离失所,特别是有孩子的家庭到更安全的地区,我们认为,考虑到国内流离失所者,使用乌克兰整体和按地区的趋势模型计算一年级学生人数的预测值是合适的。因素模型只应用于对整个乌克兰进行预测,因为按地区进行出生人数预测在今天的条件下是没有意义的,只有在战后时期才有可能。在这个方向上进一步研究的前景是发展经济和数学模型,以预测普通中学的学生总数、教学人员和某些科目的教师人数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
APPLICATION OF ECONOMIC AND MATHEMATICAL METHODS FOR DEVELOPING FORECASTS IN THE FIELD OF GENERAL SECONDARY EDUCATION
The military aggression of the russian federation against Ukraine and the introduction of martial law in Ukraine caused serious problems with the collection, processing and analysis of the necessary statistical and administrative information. In particular, it was necessary to predict the number of first-graders and enrollment of pupils in general secondary schools at the beginning of the 2022/2023 school year and especially school leavers, who are expected to become potential entrants to higher education, pre-tertiary vocational and vocational education institutions. When developing a model for forecasting the number of first-graders, a functional dependence was determined that adequately describes the development trends of this indicator, and consisted in obtaining the minimum average absolute deviation of the forecast value from the actual. In the course of the study, we developed trend models for forecasting the number of first-grade students for each region and determined the mathematical characteristics of the forecast model. For a more detailed study, we consider factor analysis models in order to examine the relationship between the number of first-graders and the number of children born. Based on the regression analysis, the type of function was determined; regression coefficients and theoretical values of the resulting indicator were calculated; and the statistical significance of the equation and regression coefficients was tested. In this way, we received a target forecast of the number of students for the 2022/2023-2024/2025 school years. Given the large-scale temporary displacement of the population, in particular families with children to safer regions, we consider it expedient to calculate the forecast values of the number of first-grade students using trend models for Ukraine as a whole and by region, taking into account internally displaced persons. Factor models should be used only to develop a forecast for Ukraine as a whole, since forecasting from the number of births by region is not meaningful in today�s conditions and is possible only in the post-war period. The prospect of further research in this direction is the development of economic and mathematical models for forecasting the total number of school students, the number of pedagogical staff and teachers of certain subjects in general secondary schools.
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