In sample designs, it is commonly recognized that using auxiliary information significantly increases an estimator's precision. This manuscript introduces an weighted strategy for computing the finite population mean using auxiliary information in sample surveys. The equations for the mean squared error ("MSE") of the proposed estimator…

We demonstrate the Stirling formula, approximating the factorial, utilising accessible and elementary methods in an engaging manner.

This snapshot illustrates my use of the Common Online Data Analysis Platform (CODAP), a web-based tool, to perform a sampling data task embedded within a real-world phenomenon. The aim is to identify the optimal sampling land areas on the map for estimating the population. I utilized a public dataset containing densely located alternative fuel…

Cognitive diagnosis models (CDMs) are widely used to assess individuals' latent characteristics, offering detailed diagnostic insights for tailored instructional development. Maximum likelihood estimation using the expectation-maximization algorithm (MLE-EM) or its variants, such as the EM algorithm with monotonic constraints and Bayes modal…

Computational thinking is a necessary skill for the 21st century. While previously examined in computer-rich settings, researchers are increasingly studying computational thinking in unplugged environments such as board games. Focusing on the African board game "Songo," this study shows that computational thinking practices are embedded…

Missing data are common with large scale assessments (LSAs). A typical approach to handling missing data with LSAs is the use of listwise deletion, despite decades of research showing that approach can be a suboptimal strategy resulting in biased estimates. In order to help researchers account for missing data, we provide a tutorial using R and…

We present a method to compute the power series expansions of e[superscript x] ln (1 + x), sin x, and cos x without relying on mathematical analysis. Using the properties of elementary functions, we determine the coefficients of each series through the method of undetermined coefficients. We have validated our formulae through the use of…

Matching methods are widely used in educational research to estimate causal effects when randomization is not feasible. These techniques pair treated units (such as schools receiving an intervention) with similar control units based on observable characteristics. However, current statistical inference procedures for these methods can produce…

Background: Effectiveness studies that ignore costs can lead to misguided policies. For instance, reducing class sizes gained traction due to positive outcomes on student achievement (Konstantopoulos & Li, 2012; Krueger, 1999), yet cost-effectiveness studies revealed the high-cost relative to its modest benefits (Brewer et al., 1999). More…

Although research has demonstrated that introducing computational thinking (CT) benefits young children, there has been a lack of systematic professional development (PD) opportunities for preschool teachers. The current study investigated the impact of Teaching through Interaction-Plus (TTI-P) on preschool teachers' self-efficacy in teaching CT…

The difference in differences design is widely used to assess treatment effects in natural experiments or other situations where random assignment cannot, or is not, used (see, e.g., Angrist & Pischke, 2009). The researcher must make important decisions about which comparisons to make, the measurements to make, and perhaps the number of…

Contemporary society is characterized by diversity and intricacy, necessitating more meaningful learning experiences. To meet these evolving needs, the incorporation of computational systems into education must acknowledge the distinctive characteristics of learners. Therefore, we conducted a Systematic Mapping Study (SMS) to investigate…

The data we encounter in real life often contain missing values. In sampling methods, missing value imputation is done with different methods. This article proposes novel logarithmic type imputation methods for estimating the population mean in the presence of missing data under ranked set sampling (RSS). According to the determined theoretical…

Contemporary sciences, including the didactics of science, employ computational simulations as tools in their academic endeavors. The construction and application of these simulations are of interest to didactics as they contribute to shaping new perspectives on scientific activity. Consequently, they warrant special attention in…

The aim of this study was to determine how 5-year-old children identified the functional relationship of correspondence, and whether or not they generalized when working on a task that involved programmable robots. We conducted this study with 15 children (9 girls and 6 boys) in their last year of preschool education. The study was designed around…