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Doran, Harold – Journal of Educational and Behavioral Statistics, 2023
This article is concerned with a subset of numerically stable and scalable algorithms useful to support computationally complex psychometric models in the era of machine learning and massive data. The subset selected here is a core set of numerical methods that should be familiar to computational psychometricians and considers whitening transforms…
Descriptors: Scaling, Algorithms, Psychometrics, Computation
Bentler, Peter M.; Yuan, Ke-Hai – Psychometrika, 2011
Indefinite symmetric matrices that are estimates of positive-definite population matrices occur in a variety of contexts such as correlation matrices computed from pairwise present missing data and multinormal based methods for discretized variables. This note describes a methodology for scaling selected off-diagonal rows and columns of such a…
Descriptors: Scaling, Factor Analysis, Correlation, Predictor Variables
Boles, David B.; Barth, Joan M.; Merrill, Edward C. – Brain and Cognition, 2008
Hemispheric asymmetry implies the existence of developmental influences that affect one hemisphere more than the other. However, those influences are poorly understood. One simple view is that asymmetry may exist because of a relationship between a mental process' degree of lateralization and how well it functions. Data scaling issues have largely…
Descriptors: Investigations, Scaling, Children, Brain Hemisphere Functions
Hill, Heather C.; Ball, Deborah Loewenberg; Schilling, Stephen G. – Journal for Research in Mathematics Education, 2008
There is widespread agreement that effective teachers have unique knowledge of students' mathematical ideas and thinking. However, few scholars have focused on conceptualizing this domain, and even fewer have focused on measuring this knowledge. In this article, we describe an effort to conceptualize and develop measures of teachers' combined…
Descriptors: Teacher Effectiveness, Pedagogical Content Knowledge, Mathematics Skills, Thinking Skills
Bruckman, P. S. – International Journal of Mathematical Education in Science & Technology, 2006
Certain definitions introduce appropriate concepts, among which are the definitions of the counting functions of the primes and twin primes, along with definitions of the correlation coefficient in a bivariate sample space. It is argued conjecturally that the characteristic functions of the prime "p" and of the quantity "p"+2 are highly…
Descriptors: Definitions, Correlation, Number Concepts, Calculus
OECD Publishing (NJ1), 2009
The Organisation for Economic Cooperation and Development's (OECD's) Programme for International Student Assessment (PISA) surveys, which take place every three years, have been designed to collect information about 15-year-old students in participating countries. PISA examines how well students are prepared to meet the challenges of the future,…
Descriptors: Policy Formation, Scaling, Academic Achievement, Interrater Reliability

Vegelius, Jan – Educational and Psychological Measurement, 1979
The computer program WEIGAN makes the weighted G analysis available for computer users. The input and output of the program are described. (Author/JKS)
Descriptors: Computer Programs, Correlation, Factor Analysis, Item Analysis