Design Plan for an Evolution Study of Related Characteristics of a Population
The objective is to study the evolution of different characteristics of a population through time. These response variables may be related for each experimental unit, and in addition, the observations for each response may as well be correlated with time, producing a complex correlation structure. T...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/5/792 |
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| author | Juan M. Rodríguez-Díaz Rosa E. Pruneda Mercedes Rodríguez-Hernández |
| author_facet | Juan M. Rodríguez-Díaz Rosa E. Pruneda Mercedes Rodríguez-Hernández |
| author_sort | Juan M. Rodríguez-Díaz |
| collection | DOAJ |
| description | The objective is to study the evolution of different characteristics of a population through time. These response variables may be related for each experimental unit, and in addition, the observations for each response may as well be correlated with time, producing a complex correlation structure. The number of responses that can be observed is usually limited for budget, resources, or time reasons, and thus the selection of the most informative time points when data must be taken is quite convenient. This will be performed by using the optimal design of experiments techniques. Some analytical results will be shown, and the results will be applied to obtain the most convenient points when tests about two variables related with the capability of the resolution of mathematical problems in primary school students should be performed. |
| first_indexed | 2024-03-09T20:31:23Z |
| format | Article |
| id | doaj.art-b6a2884b7a5d4bff88523150c01b1f5a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T20:31:23Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b6a2884b7a5d4bff88523150c01b1f5a2023-11-23T23:23:43ZengMDPI AGMathematics2227-73902022-03-0110579210.3390/math10050792Design Plan for an Evolution Study of Related Characteristics of a PopulationJuan M. Rodríguez-Díaz0Rosa E. Pruneda1Mercedes Rodríguez-Hernández2Department of Statistics, Universidad de Salamanca, 37008 Salamanca, SpainDepartment of Mathematics, University of Castilla-La Mancha, 13071 Ciudad Real, SpainDepartment of Didactic of Mathematics and Experimental Sciences, Universidad de Salamanca, 05003 Ávila, SpainThe objective is to study the evolution of different characteristics of a population through time. These response variables may be related for each experimental unit, and in addition, the observations for each response may as well be correlated with time, producing a complex correlation structure. The number of responses that can be observed is usually limited for budget, resources, or time reasons, and thus the selection of the most informative time points when data must be taken is quite convenient. This will be performed by using the optimal design of experiments techniques. Some analytical results will be shown, and the results will be applied to obtain the most convenient points when tests about two variables related with the capability of the resolution of mathematical problems in primary school students should be performed.https://www.mdpi.com/2227-7390/10/5/792covariance structureevolution studymental representationoptimal design of experimentsproblem solving |
| spellingShingle | Juan M. Rodríguez-Díaz Rosa E. Pruneda Mercedes Rodríguez-Hernández Design Plan for an Evolution Study of Related Characteristics of a Population Mathematics covariance structure evolution study mental representation optimal design of experiments problem solving |
| title | Design Plan for an Evolution Study of Related Characteristics of a Population |
| title_full | Design Plan for an Evolution Study of Related Characteristics of a Population |
| title_fullStr | Design Plan for an Evolution Study of Related Characteristics of a Population |
| title_full_unstemmed | Design Plan for an Evolution Study of Related Characteristics of a Population |
| title_short | Design Plan for an Evolution Study of Related Characteristics of a Population |
| title_sort | design plan for an evolution study of related characteristics of a population |
| topic | covariance structure evolution study mental representation optimal design of experiments problem solving |
| url | https://www.mdpi.com/2227-7390/10/5/792 |
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