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Peer reviewedKiers, Henk A. L. – Psychometrika, 1997
A general approach for fitting a model to a data matrix by weighted least squares (WLS) is studied. The approach consists of iteratively performing steps of existing algorithms for ordinary least squares fitting of the same model and is based on maximizing a function that majorizes WLS loss function. (Author/SLD)
Descriptors: Algorithms, Goodness of Fit, Least Squares Statistics, Mathematical Models
Peer reviewedKiiveri, H. T. – Psychometrika, 1987
Covariance structures associated with linear structural equation models are discussed. Algorithms for computing maximum likelihood estimates (namely, the EM algorithm) are reviewed. An example of using likelihood ratio tests based on complete and incomplete data to improve the fit of a model is given. (SLD)
Descriptors: Algorithms, Analysis of Covariance, Computer Simulation, Equations (Mathematics)
Peer reviewedMuraki, Eiji – Applied Psychological Measurement, 1990
This study examined the application of the marginal maximum likelihood-EM algorithm to the parameter estimation problems of the normal ogive and logistic polytomous response models for Likert-type items. A rating scale model, based on F. Samejima's (1969) graded response model, was developed. (TJH)
Descriptors: Algorithms, Computer Simulation, Equations (Mathematics), Goodness of Fit
Muraki, Eiji – 1984
This study examines the application of the marginal maximum likelihood (MML) EM algorithm to the parameter estimation problem of the three-parameter normal ogive and logistic polychotomous item response models. A three-parameter normal ogive model, the Graded Response model, has been developed on the basis of Samejima's two-parameter graded…
Descriptors: Algorithms, Data Analysis, Estimation (Mathematics), Goodness of Fit
Peer reviewedCudeck, Robert; Browne, Michael W. – Psychometrika, 1992
A method is proposed for constructing a population covariance matrix as the sum of a particular model plus a nonstochastic residual matrix, with the stipulation that the model holds with a prespecified lack of fit. The procedure is considered promising for Monte Carlo studies. (SLD)
Descriptors: Algorithms, Equations (Mathematics), Estimation (Mathematics), Factor Analysis
Download full textLinacre, John M. – 1990
Advantages and disadvantages of standard Rasch analysis computer programs are discussed. The unconditional maximum likelihood algorithm allows all observations to participate equally in determining the measures and calibrations to be obtained quickly from a data set. On the advantage side, standard Rasch programs can be used immediately, are…
Descriptors: Algorithms, Computer Assisted Testing, Computer Graphics, Computer Simulation
Paulson, James A. – 1986
This paper reports on a project which has developed the general latent class model as a framework for representation of item responses. This framework can be used to represent data in applications such as mastery tests and other kinds of achievement tests, where there is reason to believe that current foundations are deficient. Methods of…
Descriptors: Achievement Tests, Algorithms, Diagnostic Tests, Estimation (Mathematics)
