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McNeish, Daniel; Bauer, Daniel J. – Grantee Submission, 2020
Deciding which random effects to retain is a central decision in mixed effect models. Recent recommendations advise a maximal structure whereby all theoretically relevant random effects are retained. Nonetheless, including many random effects often leads to nonpositive definiteness. A typical remedy is to simplify the random effect structure by…
Descriptors: Multivariate Analysis, Hierarchical Linear Modeling, Factor Analysis, Matrices
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Rahayu, Sri; Sugiarto, Teguh; Madu, Ludiro; Holiawati; Subagyo, Ahmad – International Journal of Educational Methodology, 2017
This study aims to apply the model principal component analysis to reduce multicollinearity on variable currency exchange rate in eight countries in Asia against US Dollar including the Yen (Japan), Won (South Korea), Dollar (Hong Kong), Yuan (China), Bath (Thailand), Rupiah (Indonesia), Ringgit (Malaysia), Dollar (Singapore). It looks at yield…
Descriptors: Foreign Countries, Factor Analysis, Multiple Regression Analysis, Correlation
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Rhemtulla, Mijke; Jia, Fan; Wu, Wei; Little, Todd D. – International Journal of Behavioral Development, 2014
We examine the performance of planned missing (PM) designs for correlated latent growth curve models. Using simulated data from a model where latent growth curves are fitted to two constructs over five time points, we apply three kinds of planned missingness. The first is item-level planned missingness using a three-form design at each wave such…
Descriptors: Data Analysis, Error of Measurement, Models, Longitudinal Studies
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Kabiri, Masoud; Ghazi-Tabatabaei, Mahmood; Bazargan, Abbas; Shokoohi-Yekta, Mohsen; Kharrazi, Kamal – Applied Measurement in Education, 2017
Numerous diagnostic studies have been conducted on large-scale assessments to illustrate the students' mastery profile in the areas of math and reading; however, for science a limited number of investigations are reported. This study investigated Iranian eighth graders' competency mastery of science and examined the utility of the General…
Descriptors: Elementary Secondary Education, Achievement Tests, International Assessment, Foreign Countries
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Wilderjans, Tom F.; Ceulemans, E.; Van Mechelen, I. – Psychometrika, 2012
In many research domains different pieces of information are collected regarding the same set of objects. Each piece of information constitutes a data block, and all these (coupled) blocks have the object mode in common. When analyzing such data, an important aim is to obtain an overall picture of the structure underlying the whole set of coupled…
Descriptors: Semantics, Simulation, Multivariate Analysis, Matrices
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Wetzel, Eunike; Xu, Xueli; von Davier, Matthias – Educational and Psychological Measurement, 2015
In large-scale educational surveys, a latent regression model is used to compensate for the shortage of cognitive information. Conventionally, the covariates in the latent regression model are principal components extracted from background data. This operational method has several important disadvantages, such as the handling of missing data and…
Descriptors: Surveys, Regression (Statistics), Models, Research Methodology
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McLachlan, Geoffrey J. – Psychological Methods, 2011
I discuss the recommendations and cautions in Steinley and Brusco's (2011) article on the use of finite models to cluster a data set. In their article, much use is made of comparison with the "K"-means procedure. As noted by researchers for over 30 years, the "K"-means procedure can be viewed as a special case of finite mixture modeling in which…
Descriptors: Computation, Multivariate Analysis, Matrices, Statistical Analysis
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Schepers, Jan; Van Mechelen, Iven – Psychological Methods, 2011
Profile data abound in a broad range of research settings. Often it is of considerable theoretical importance to address specific structural questions with regard to the major pattern as included in such data. A key challenge in this regard pertains to identifying which type of interaction (double ordinal, mixed ordinal/disordinal, double…
Descriptors: Matrices, Profiles, Multivariate Analysis, Models
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Zendler, Andreas; Klaudt, Dieter; Seitz, Cornelia – Journal of Educational Computing Research, 2014
The authors discuss empirically determined competence areas to K-12 computer science education, emphasizing the cognitive level of competence. The results of a questionnaire with 120 professors of computer science serve as a database. By using multi-dimensional scaling and cluster analysis, four competence areas to computer science education…
Descriptors: Elementary Secondary Education, Computer Science Education, Competence, Cognitive Processes
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Haberman, Shelby J. – ETS Research Report Series, 2013
A general program for item-response analysis is described that uses the stabilized Newton-Raphson algorithm. This program is written to be compliant with Fortran 2003 standards and is sufficiently general to handle independent variables, multidimensional ability parameters, and matrix sampling. The ability variables may be either polytomous or…
Descriptors: Predictor Variables, Mathematics, Item Response Theory, Probability
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Ananda B. W. Manage; Stephen M. Scariano – Journal of Statistics Education, 2013
Principal Component Analysis is widely used in applied multivariate data analysis, and this article shows how to motivate student interest in this topic using cricket sports data. Here, principal component analysis is successfully used to rank the cricket batsmen and bowlers who played in the 2012 Indian Premier League (IPL) competition. In…
Descriptors: Factor Analysis, Multivariate Analysis, Data Analysis, Student Interests
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Vermunt, Jeroen K. – Psychological Methods, 2011
Steinley and Brusco (2011) presented the results of a huge simulation study aimed at evaluating cluster recovery of mixture model clustering (MMC) both for the situation where the number of clusters is known and is unknown. They derived rather strong conclusions on the basis of this study, especially with regard to the good performance of…
Descriptors: Multivariate Analysis, Simulation, Research, Mathematics
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Lynch, Elizabeth B.; Holmes, Shane – Journal of Nutrition Education and Behavior, 2011
Objective: Describe lay food group categories of low-income African American women and assess the overlap of lay food groups and MyPyramid food groups. Design: A convenience sample of African American mothers from a low-income Chicago neighborhood performed a card-sorting task in which they grouped familiar food items into food groups. Setting:…
Descriptors: African Americans, Neighborhoods, Mothers, Multivariate Analysis
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Chiu, Chia-Yi; Douglas, Jeffrey A.; Li, Xiaodong – Psychometrika, 2009
Latent class models for cognitive diagnosis often begin with specification of a matrix that indicates which attributes or skills are needed for each item. Then by imposing restrictions that take this into account, along with a theory governing how subjects interact with items, parametric formulations of item response functions are derived and…
Descriptors: Test Length, Identification, Multivariate Analysis, Item Response Theory
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Radhakrishnan, R.; Choudhury, Askar – International Journal of Mathematical Education in Science and Technology, 2009
Computing the mean and covariance matrix of some multivariate distributions, in particular, multivariate normal distribution and Wishart distribution are considered in this article. It involves a matrix transformation of the normal random vector into a random vector whose components are independent normal random variables, and then integrating…
Descriptors: Computers, Multivariate Analysis, Matrices, Mathematics Instruction
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