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Reise, Steven; Moore, Tyler; Maydeu-Olivares, Alberto – Educational and Psychological Measurement, 2011
Reise, Cook, and Moore proposed a "comparison modeling" approach to assess the distortion in item parameter estimates when a unidimensional item response theory (IRT) model is imposed on multidimensional data. Central to their approach is the comparison of item slope parameter estimates from a unidimensional IRT model (a restricted model), with…
Descriptors: Item Response Theory, Models, Computation, Comparative Analysis

Goldstein, Donald J. – Educational and Psychological Measurement, 1978
A FORTRAN program for transforming raw scores into square roots, natural logarithms, arc sines, and other transformations is described. Any or all transformations may be made on a data matrix of fifteen columns or fewer, and one hundred rows or fewer. (Author/JKS)
Descriptors: Computer Programs, Transformations (Mathematics)

Huck, Schuyler W.; Sutton, Cary O. – Educational and Psychological Measurement, 1975
Extended Lubin's discussion of ordinal and disordinal interactions by introducing the concept of dual-ordinal. This concept was considered important since a transformation cannot bring about additivity unless the interaction is dual-ordinal in nature. A method is presented for determining whether or not an interaction is dual-ordinal. (Author/BJG)
Descriptors: Analysis of Variance, Graphs, Transformations (Mathematics)

Hofmann, Richard J. – Educational and Psychological Measurement, 1978
A general factor analysis computer algorithm is briefly discussed. The algorithm is highly transportable with minimum limitations on the number of observations. Both singular and non-singular data can be analyzed. (Author/JKS)
Descriptors: Algorithms, Computer Programs, Factor Analysis, Transformations (Mathematics)

Thomas, Charles R. – Educational and Psychological Measurement, 1985
A rational approach to standard transformed scores which always results in the numerical to letter grade correspondence for any chosen hypothetical grade distribution model is developed. (Author/LMO)
Descriptors: Grades (Scholastic), Scoring Formulas, Transformations (Mathematics), Weighted Scores

Reynolds, Thomas J.; Jackosfsky, Ellen F. – Educational and Psychological Measurement, 1981
The purpose of this paper is to outline the role of orthogonal rotation in canonical analysis, including the evaluative measures that need be reported and scrutinized upon application. (Author)
Descriptors: Attitude Measures, Multivariate Analysis, Orthogonal Rotation, Transformations (Mathematics)

Rasmussen, Jeffrey Lee – Educational and Psychological Measurement, 1989
A Monte Carlo simulation was used to investigate the effect of data transformation on average correlations between Job Descriptive Index scores. In general, results indicate that transformation of scores did not result in marked changes in the correlations and that such transformation may not be worthwhile. (SLD)
Descriptors: Correlation, Evaluation Methods, Job Analysis, Scores

Wimberley, Ronald C. – Educational and Psychological Measurement, 1975
Describes a program for the T-score technique of normal standardization. T-scores transform a raw score distribution, regardless of its skewness or kurtosis, into a normal distribution with a mean of 50 and a standard deviation of 10. (Author/RC)
Descriptors: Computer Programs, Raw Scores, Scores, Statistical Analysis

Aiken, Lewis R. – Educational and Psychological Measurement, 1987
Formulas for transforming scores and statistics on a rating scale having any number of categories to a scale having a different number of categories are described. To illustrate the use of one of the formulas, the means and variances of items on six forms of a course evaluation questionnaire were compared. (Author/LMO)
Descriptors: Mathematical Models, Rating Scales, Scoring, Statistical Studies

Hakstian, A. Ralph; Boyd, William M. – Educational and Psychological Measurement, 1972
Descriptors: Factor Analysis, Factor Structure, Orthogonal Rotation, Statistical Analysis

Capra, J. R.; Elster, R. S. – Educational and Psychological Measurement, 1971
This method of generating multivariate data differs from previous techniques in that it uses Crout factorization to develop the desired variance-covariance matrix. (Author/CK)
Descriptors: Computer Programs, Mathematical Models, Mathematics, Multiple Regression Analysis

Huck, Schuyler W. – Educational and Psychological Measurement, 1992
Three factors that increase score variability yet can be associated with an increase, a decrease, or no change in Pearson's correlation coefficient (r) are discussed (restriction of range, errors of measurement, and linear transformations of data). The connection between changes in variability and r depends on how changes occur. (SLD)
Descriptors: Correlation, Equations (Mathematics), Error of Measurement, Groups

Shine, II, Lester C.; Stoup, Charles M. – Educational and Psychological Measurement, 1985
A method requiring minimal computational effort is presented for transforming ordered residuals for purposes of testing the correctness of a regression model. The method maintains the same logical ordering in the transformed residuals as that of the original residuals and is suitable for either correlated or uncorrelated data. (Author/BS)
Descriptors: Least Squares Statistics, Mathematical Models, Regression (Statistics), Research Methodology

Milligan, Glenn W. – Educational and Psychological Measurement, 1987
The use of the arc-sine transformation in analysis of variance can lead to difficult inference situations and pose problems in interpretation. It can also produce tests of noticeably lower power when the null hypothesis is false, and is not recommended as a standard tool. Simulated illustrations are provided. (Author/GDC)
Descriptors: Analysis of Variance, Computer Simulation, Monte Carlo Methods, Statistical Bias

Guertin, Azza S.; And Others – Educational and Psychological Measurement, 1981
The effects of under and overrotation on common factor loading stability under three levels of common variance and three levels or error are examined. Four representative factor matrices were selected. Results suggested that matrices which account for large amounts of common variance tend to have stable factor loadings. (Author/RL)
Descriptors: Analysis of Variance, Correlation, Error of Measurement, Factor Structure
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