Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction
In this paper we use a statistical mechanical model as a paradigm for educational choices when the reference population is partitioned according to the socioeconomic attributes of gender and residence. We study how educational attainment is influenced by socioeconomic attributes of gender and reside...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2019/3435626 |
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| author | Alex Akwasi Opoku Godwin Osabutey Charles Kwofie |
| author_facet | Alex Akwasi Opoku Godwin Osabutey Charles Kwofie |
| author_sort | Alex Akwasi Opoku |
| collection | DOAJ |
| description | In this paper we use a statistical mechanical model as a paradigm for educational choices when the reference population is partitioned according to the socioeconomic attributes of gender and residence. We study how educational attainment is influenced by socioeconomic attributes of gender and residence for five selected developing countries. The model has a social and a private incentive part with coefficients measuring the influence individuals have on each other and the external influence on individuals, respectively. The methods of partial least squares and the ordinary least squares are, respectively, used to estimate the parameters of the interacting and the noninteracting models. This work differs from the previous work that motivated this work in the following sense: (a) the reference population is divided into subgroups with unequal subgroup sizes, (b) the proportion of individuals in each of the subgroups may depend on the population size N, and (c) the method of partial least squares is used for estimating the parameters of the model with social interaction as opposed to the least squares method used in the earlier work. |
| format | Article |
| id | doaj-art-a100c04061154e73a34feb7af12c60e0 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-a100c04061154e73a34feb7af12c60e02025-02-03T01:02:16ZengWileyJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/34356263435626Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social InteractionAlex Akwasi Opoku0Godwin Osabutey1Charles Kwofie2Mathematics and Statistics Department, University of Energy and Natural Resources, P. O. Box 214, Sunyani, GhanaMathematics and Statistics Department, University of Energy and Natural Resources, P. O. Box 214, Sunyani, GhanaMathematics and Statistics Department, University of Energy and Natural Resources, P. O. Box 214, Sunyani, GhanaIn this paper we use a statistical mechanical model as a paradigm for educational choices when the reference population is partitioned according to the socioeconomic attributes of gender and residence. We study how educational attainment is influenced by socioeconomic attributes of gender and residence for five selected developing countries. The model has a social and a private incentive part with coefficients measuring the influence individuals have on each other and the external influence on individuals, respectively. The methods of partial least squares and the ordinary least squares are, respectively, used to estimate the parameters of the interacting and the noninteracting models. This work differs from the previous work that motivated this work in the following sense: (a) the reference population is divided into subgroups with unequal subgroup sizes, (b) the proportion of individuals in each of the subgroups may depend on the population size N, and (c) the method of partial least squares is used for estimating the parameters of the model with social interaction as opposed to the least squares method used in the earlier work.http://dx.doi.org/10.1155/2019/3435626 |
| spellingShingle | Alex Akwasi Opoku Godwin Osabutey Charles Kwofie Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction Journal of Probability and Statistics |
| title | Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction |
| title_full | Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction |
| title_fullStr | Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction |
| title_full_unstemmed | Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction |
| title_short | Parameter Evaluation for a Statistical Mechanical Model for Binary Choice with Social Interaction |
| title_sort | parameter evaluation for a statistical mechanical model for binary choice with social interaction |
| url | http://dx.doi.org/10.1155/2019/3435626 |
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