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Design Plan for an Evolution Study of Related Characteristics of a Population

Author

Listed:
  • Juan M. Rodríguez-Díaz

    (Department of Statistics, Universidad de Salamanca, 37008 Salamanca, Spain)

  • Rosa E. Pruneda

    (Department of Mathematics, University of Castilla-La Mancha, 13071 Ciudad Real, Spain)

  • Mercedes Rodríguez-Hernández

    (Department of Didactic of Mathematics and Experimental Sciences, Universidad de Salamanca, 05003 Ávila, Spain)

Abstract

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.

Suggested Citation

  • Juan M. Rodríguez-Díaz & Rosa E. Pruneda & Mercedes Rodríguez-Hernández, 2022. "Design Plan for an Evolution Study of Related Characteristics of a Population," Mathematics, MDPI, vol. 10(5), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:792-:d:762498
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    References listed on IDEAS

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    1. Brian R. Flay & Linda M. Collins, 2005. "Historical Review of School-Based Randomized Trials for Evaluating Problem Behavior Prevention Programs," The ANNALS of the American Academy of Political and Social Science, , vol. 599(1), pages 115-146, May.
    2. Francis L. Huang, 2022. "Analyzing Cross-Sectionally Clustered Data Using Generalized Estimating Equations," Journal of Educational and Behavioral Statistics, , vol. 47(1), pages 101-125, February.
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