title: ÐÐ¾Ð´ÐµÐ»Ð¸ Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ°ÐºÑÐ¾ÑÐ¾Ð², Ð²Ð»Ð¸ÑÑÑÐ¸Ñ Ð½Ð° ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ¸
title: Models for factor analysis, influencing the development of the economy
Creators: name: ÐÐ³ÑÐµÐ½ Ð¢Ñ Ð¸ Ð¢Ñ Ñ ÐÑÐ½Ð³
name: Ð§ÐµÑÐ½ÐµÐ½ÑÐºÐ°Ñ , ÐÑÐ´Ð¼Ð¸Ð»Ð°
name: ÐÑ ÐÐ°Ð½ Ð¥ÑÐµÐ½
name: "Ð¡Ð¸ÑÑÐµÐ¼Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð² Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (26; 2022; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2023
Subjects: Ð¡ÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¼Ð½Ð¾Ð³Ð¾Ð¼ÐµÑÐ½ÑÐ¹
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ
Ð¼Ð½Ð¾Ð³Ð¾Ð¼ÐµÑÐ½Ð°Ñ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ°
Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐ° Ð´Ð°Ð½Ð½ÑÑ
Ð¼ÐµÑÐ¾Ð´ ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°
Ð¼ÐµÑÐ¾Ð´ k-ÑÑÐµÐ´Ð½Ð¸Ñ
ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ° ÑÐ°Ð·ÑÑÐ²Ð¾Ð²
ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾-ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼
Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ¸
ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ° ÐÑÐµÑÐ½Ð°Ð¼Ð°
mathematical methods
multivariate statistics
data preprocessing
cluster analysis method
k-means
gap statistics
classification of socio-economic systems
economic analysis
economy of Vietnam

description: Ð Ð¿Ð¾ÑÐ»ÐµÐ´Ð½Ð¸Ðµ Ð³Ð¾Ð´Ñ Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÑÐµÑ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸, Ð²ÐºÐ»ÑÑÐ°Ñ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÑ, Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ, Ð¿Ð¾Ð»Ð¸ÑÐ¸ÐºÑ, Ð·Ð´ÑÐ°Ð²Ð¾Ð¾ÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð¸ Ñ. Ð´. Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑ ÑÐ°ÐºÐ¸Ðµ Ð¼ÐµÑÐ¾Ð´Ñ, ÐºÐ°Ðº ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð¾-ÑÐµÐ³ÑÐµÑÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·, ÑÐ°ÐºÑÐ¾ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·, ÐºÐ»Ð°ÑÑÐµÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·, Ð¼ÐµÑÐ¾Ð´ Ð³Ð»Ð°Ð²Ð½ÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ Ð¸ Ñ. Ð´., Ð¾Ð´Ð½Ð¸Ð¼ Ð¸Ð· Ð¼ÐµÑÐ¾Ð´Ð¾Ð², ÐºÐ¾ÑÐ¾ÑÑÐ¹ ÑÑÐ¸ÑÐ°ÐµÑÑÑ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð¿Ð¾Ð¿ÑÐ»ÑÑÐ½ÑÐ¼, ÑÐ²Ð»ÑÐµÑÑÑ Ð¼ÐµÑÐ¾Ð´ ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°. ÐÐ´Ð½Ð°ÐºÐ¾ Ð²Ð¾ ÐÑÐµÑÐ½Ð°Ð¼Ðµ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÑÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸, Ð² ÑÐ°ÑÑÐ½Ð¾ÑÑÐ¸, Ð¼ÐµÑÐ¾Ð´Ð° ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð´Ð»Ñ Ð¾ÑÐµÐ½ÐºÐ¸ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾-ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÐºÑÐ¾ÑÐ¾Ð² ÐµÑÐµ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐµÐ½Ð¾. Ð¡Ð»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾, ÑÐµÐ»Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾-ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð¿Ð¾ ÑÐµÐ»Ð¾Ð¼Ñ Ð½Ð°Ð±Ð¾ÑÑ ÐºÑÐ¸ÑÐµÑÐ¸ÐµÐ² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼ÐµÑÐ¾Ð´Ð° k-ÑÑÐµÐ´Ð½Ð¸Ñ. ÐÑÐµÐ´Ð»Ð°Ð³Ð°ÐµÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð° ÑÑÐ°ÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐ°Ð·ÑÑÐ²Ð¾Ð² Ð½Ð°Ð¹ÑÐ¸ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð¿Ð¾Ð´ÑÐ¾Ð´ÑÑÐ¸Ñ ÐºÐ»Ð°ÑÑÐ¾Ð² Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ·ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ python. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ, ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÑ ÐÐ»Ð°Ð²Ð½ÑÐ¼ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸ÐµÐ¼ ÐÑÐµÑÐ½Ð°Ð¼Ð°, Ð¾Ð¿Ð¸ÑÐ°ÑÐµÐ»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð¾ 143 ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾-ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ð¼ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÑÐ¼ 63 ÑÐµÐ³Ð¸Ð¾Ð½Ð¾Ð² ÐÑÐµÑÐ½Ð°Ð¼Ð° Ð² 2019 Ð³Ð¾Ð´Ñ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð·Ð°ÐºÐ»ÑÑÐ°ÑÑÑÑ Ð² Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÐºÐ»Ð°ÑÑÐµÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð°, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ¹ ÐºÐ»Ð°ÑÑÐ¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°ÑÑ 63 ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾-ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼Ñ Ð½Ð° 3 ÐºÐ»Ð°ÑÑÐµÑÐ°. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÑÑ Ð¿ÑÐ¸ Ð¾ÑÐµÐ½ÐºÐµ ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾-ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ ÑÐ°Ð¹Ð¾Ð½Ð¾Ð² ÐÑÐµÑÐ½Ð°Ð¼Ð°.
description: In recent years, for the analysis of general practice, including economics, education, politics, health, etc. multivariate statistical analysis models such as correlation and regression analysis, factor analysis, cluster analysis, principal components, etc. have been applied, one of the methods that is considered the most popular is the cluster analysis method. However, in Vietnam, the application of these methods and in particular the cluster analysis method for socio-economic assessment is still limited. Therefore, the purpose of the study is to create a model for classifying socio-economic systems according to a whole set of criteria based on the mathematical method of k-means using the method of gap statistics to find the number of the most suitable classes using the python programming language. This research analyzes the application of the cluster analysis method based on experimental data compiled by the General Statistics Office of Vietnam, descriptive data on 143 socio-economic indicators of 63 regions of Vietnam in 2019. The results of the work are to apply the developed model of cluster analysis classifies 63 socio-economic systems into 3 clusters. The results are introduced into the assessment of the socio-economic systems of Vietnamâs provinces.