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Enakshi Saha – ProQuest LLC, 2021
We study flexible Bayesian methods that are amenable to a wide range of learning problems involving complex high dimensional data structures, with minimal tuning. We consider parametric and semiparametric Bayesian models, that are applicable to both static and dynamic data, arising from a multitude of areas such as economics, finance and…
Descriptors: Bayesian Statistics, Probability, Nonparametric Statistics, Data Analysis
Sarkar, Saurabh – ProQuest LLC, 2013
In the modern world information has become the new power. An increasing amount of efforts are being made to gather data, resources being allocated, time being invested and tools being developed. Data collection is no longer a myth; however, it remains a great challenge to create value out of the enormous data that is being collected. Data modeling…
Descriptors: Data Analysis, Data Collection, Error of Measurement, Research Problems
Hsu, Jui-Chen – ProQuest LLC, 2011
Latent interaction models and mixture models have received considerable attention in social science research recently, but little is known about how to handle if unobserved population heterogeneity exists in the endogenous latent variables of the nonlinear structural equation models. The current study estimates a mixture of latent interaction…
Descriptors: Social Sciences, Structural Equation Models, Social Science Research, Multivariate Analysis
Yildirim, Huseyin H.; Yildirim, Selda – Hacettepe University Journal of Education, 2011
Multivariate matching in Differential Item Functioning (DIF) analyses may contribute to understand the sources of DIF. In this context, detecting appropriate additional matching variables is a crucial issue. This present article argues that the variables which are correlated with communalities in item difficulties can be used as an additional…
Descriptors: Test Bias, Multivariate Analysis, Probability, Regression (Statistics)

Bockenholt, Ulf – Psychometrika, 1990
This paper proposes a generalization of Thurstonian probabilistic choice models for analyzing both multiple preference responses and their relationships. The approach is illustrated by modeling data from two multivariate preference experiments. Preliminary data analyses show that the extension can yield an adequate representation of multivariate…
Descriptors: Equations (Mathematics), Individual Differences, Mathematical Models, Multidimensional Scaling
Gibbons, Robert D.; And Others – 1990
The probability integral of the multivariate normal distribution (ND) has received considerable attention since W. F. Sheppard's (1900) and K. Pearson's (1901) seminal work on the bivariate ND. This paper evaluates the formula that represents the "n x n" correlation matrix of the "chi(sub i)" and the standardized multivariate…
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Generalizability Theory

Towstopiat, Olga – Contemporary Educational Psychology, 1984
The present article reviews the procedures that have been developed for measuring the reliability of human observers' judgments when making direct observations of behavior. These include the percentage of agreement, Cohen's Kappa, phi, and univariate and multivariate agreement measures that are based on quasi-equiprobability and quasi-independence…
Descriptors: Interrater Reliability, Mathematical Models, Multivariate Analysis, Observation

De Soete, Geert; Winsberg, Suzanne – Psychometrika, 1993
A probabilistic choice model, based on L. L. Thurstone's Law of Comparative Judgment Case V, is developed for paired comparisons data about psychological stimuli. The model assumes that each stimulus is measured on a small number of physical variables. An algorithm for estimating parameters is illustrated with real data. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Graphs

Marion, Russ – Journal of School Leadership, 1992
Applies chaos theory to complex social organization, beginning with a mathematical definition of chaos. Shows how a nonlinear equation might be used to describe organization. The conclusion section identifies three approaches to analyzing chaos in social organization: metaphorical analysis, mathematical modeling, and data collection. (36…
Descriptors: Chaos Theory, Data Collection, Educational Research, Elementary Secondary Education

Gardner, William – Psychometrika, 1990
This paper provides a method for analyzing data consisting of event sequences and covariate observations associated with Markov chains. The objective is to use the covariate data to explain differences between individuals in the transition probability matrices characterizing their sequential data. (TJH)
Descriptors: Cognitive Development, Equations (Mathematics), Estimation (Mathematics), Individual Differences

Cooper, Michael D. – Library and Information Science Research, 1988
Analyzes a sample of over 4,700 orders for library materials at the University of California, Berkeley, in terms of the probability that the material will arrive and the factors that determine arrival. Models to evaluate the book ordering process are presented, and variables that may affect arrival time are discussed. (six references) (Author/LRW)
Descriptors: Academic Libraries, Higher Education, Library Acquisition, Library Materials
Kreiner, Svend – 1984
The tests for zero partial association in a multiple contingency table have gained new importance with the introduction of graphical models. It is shown how these may be performed as exact conditional tests, using as test criteria either the ordinary likelihood ratio, the standard x squared statistic, or any other appropriate statistics. A…
Descriptors: Correlation, Elementary School Teachers, Expectancy Tables, Foreign Countries