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

Mathematics

Mercedes Rodríguez-Hernández¹  Rosa E. Pruneda²  Juan M. Rodríguez-Díaz³ 

[1] Department of Didactic of Mathematics and Experimental Sciences, Universidad de Salamanca, 05003 Ávila, Spain;Department of Mathematics, University of Castilla-La Mancha, 13071 Ciudad Real, Spain;Department of Statistics, Universidad de Salamanca, 37008 Salamanca, Spain;

关键词: covariance structure;    evolution study;    mental representation;    optimal design of experiments;    problem solving;   

DOI  :  10.3390/math10050792

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown