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Justin Boutilier; Jonas Jonasson; Hannah Li; Erez Yoeli – Society for Research on Educational Effectiveness, 2024
Background: Randomized controlled trials (RCTs), or experiments, are the gold standard for intervention evaluation. However, the main appeal of RCTs--the clean identification of causal effects--can be compromised by interference, when one subject's actions can influence another subject's behavior or outcomes. In this paper, we formalize and study…
Descriptors: Randomized Controlled Trials, Intervention, Mathematical Models, Interference (Learning)
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Casey, Stephanie; Bondurant, Liza; Ross, Andrew – Mathematics Teacher Educator, 2023
This Perspectives on Practice manuscript focuses on an innovation associated with "Engaging Teachers in the Powerful Combination of Mathematical Modeling and Social Justice: The Flint Water Task" [EJ1264816] from Volume 7, Issue 2 of "MTE." We built on Aguirre et al.'s (2019) integration of mathematical modeling and social…
Descriptors: Statistical Analysis, Social Justice, Equal Education, Educational Finance
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Curran, Patrick J.; Hancock, Gregory R. – Child Development Perspectives, 2021
One of the most vexing challenges facing developmental researchers today is the statistical modeling of two or more behaviors as they unfold jointly over time. Although quantitative methodologists have studied these issues for more than half a century, no widely agreed-upon principled strategy exists to empirically analyze codevelopmental…
Descriptors: Research, Statistical Analysis, Developmental Psychology, Mathematical Models
Takashi Kawakami; Akihiko Saeki – Mathematics Education Research Group of Australasia, 2024
This study elaborates on the pivotal roles of mathematical and statistical models in data-driven predictions in an integrated STEM context using the case of Year 4 students: (?) "a descriptive means" to describe the features of trends and variability of data and (?) "an explanatory means" to explain causal relationships behind…
Descriptors: Mathematical Models, Statistical Analysis, Data Use, Prediction
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Yuan Hsiao; Lee Fiorio; Jonathan Wakefield; Emilio Zagheni – Sociological Methods & Research, 2024
Obtaining reliable and timely estimates of migration flows is critical for advancing the migration theory and guiding policy decisions, but it remains a challenge. Digital data provide granular information on time and space, but do not draw from representative samples of the population, leading to biased estimates. We propose a method for…
Descriptors: Migration, Migration Patterns, Data Collection, Data Analysis
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Lyrica Lucas; Anum Khushal; Robert Mayes; Brian A. Couch; Joseph Dauer – International Journal of Science Education, 2025
Educational reform priorities such as emphasis on quantitative modelling (QM) have positioned undergraduate biology instructors as designers of QM experiences to engage students in authentic science practices that support the development of data-driven and evidence-based reasoning. Yet, little is known about how biology instructors adapt to the…
Descriptors: Undergraduate Students, College Science, Biology, Classroom Observation Techniques
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Bucca, Mauricio; Urbina, Daniela R. – Sociological Methods & Research, 2021
Log-linear models for contingency tables are a key tool for the study of categorical inequalities in sociology. However, the conventional approach to model selection and specification suffers from at least two limitations: reliance on oftentimes equivocal diagnostics yielded by fit statistics, and the inability to identify patterns of association…
Descriptors: Foreign Countries, Mathematical Models, Tables (Data), Regression (Statistics)
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Zumbo, Bruno D.; Kroc, Edward – Educational and Psychological Measurement, 2019
Chalmers recently published a critique of the use of ordinal a[alpha] proposed in Zumbo et al. as a measure of test reliability in certain research settings. In this response, we take up the task of refuting Chalmers' critique. We identify three broad misconceptions that characterize Chalmers' criticisms: (1) confusing assumptions with…
Descriptors: Test Reliability, Statistical Analysis, Misconceptions, Mathematical Models
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Flórez C., Oscar D.; Camargo L., Julián R.; Hurtado, Orlando García – Journal of Language and Linguistic Studies, 2022
This paper presents an application of the Kalman filter in signal processing in instrumentation systems when the conditions of the environment generate a large amount of interference for the acquisition of signals from measurement systems. The unwanted interferences make important use of the instrumentation system resources and do not represent…
Descriptors: Measurement, Accuracy, Simulation, Computer Software
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Nestler, Steffen – Journal of Educational and Behavioral Statistics, 2018
The social relations model (SRM) is a mathematical model that can be used to analyze interpersonal judgment and behavior data. Typically, the SRM is applied to one (i.e., univariate SRM) or two variables (i.e., bivariate SRM), and parameter estimates are obtained by employing an analysis of variance method. Here, we present an extension of the SRM…
Descriptors: Mathematical Models, Interpersonal Relationship, Maximum Likelihood Statistics, Computation
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McCaffrey, Tony – Journal of Creative Behavior, 2018
A new visual representation for insight problems permits 22 new quantitative measures; which leads to a detailed diagnosis of a person's (or team's) creative weaknesses; which then leads to prescribing targeted, effective counter-techniques for each weakness. Currently, only two measures are consistently used for insight problem solving: the…
Descriptors: Creativity, Problem Solving, Creativity Tests, Teaching Methods
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Mohammed, M. A.; Ibrahim, A. I. N.; Siri, Z.; Noor, N. F. M. – Sociological Methods & Research, 2019
In this article, a numerical method integrated with statistical data simulation technique is introduced to solve a nonlinear system of ordinary differential equations with multiple random variable coefficients. The utilization of Monte Carlo simulation with central divided difference formula of finite difference (FD) method is repeated n times to…
Descriptors: Monte Carlo Methods, Calculus, Sampling, Simulation
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Battaglia, Onoforio Rosario; Di Paola, Benedetto; Fazio, Claudio – Physical Review Physics Education Research, 2019
A relevant aim of research in education is to find and study the reasoning lines that students deploy when dealing with problematic situations. This can be done through an analysis of the answers students give to a questionnaire. In this paper, we discuss some methodological aspects involved in the quantitative analysis of a questionnaire by means…
Descriptors: Correlation, Coding, Statistical Analysis, Questionnaires
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Petrosino, Anthony J.; Mann, Michele J. – Journal of College Science Teaching, 2018
Although data modeling, the employment of statistical reasoning for the purpose of investigating questions about the world, is central to both mathematics and science, it is rarely emphasized in K-16 instruction. The current work focuses on developing thinking about data modeling with undergraduates in general and preservice teachers in…
Descriptors: Undergraduate Students, Preservice Teachers, Mathematical Models, Data
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Hoogland, Kees; Pepin, Birgit; de Koning, Jaap; Bakker, Arthur; Gravemeijer, Koeno – Research in Mathematics Education, 2018
This article reports on a "post hoc" study using a randomised controlled trial with 31,842 students in the Netherlands and an instrument consisting of 21 paired problems. The trial showed a variability in the differences of students' results in solving contextual mathematical problems with either a descriptive or a depictive…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Academic Achievement, Foreign Countries
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