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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
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Glasnapp, Douglas R. – Educational and Psychological Measurement, 1984
The concept of change is related to suppressor variable conditions in a least square regression model. The domain of conditions necessary for a weighted change score composite to emerge as an underlying construct is mapped and the information loss through arbitrary assignment of weights to a change composite is explored. (Author/BW)
Descriptors: Achievement Gains, Least Squares Statistics, Mathematical Models, Pretests Posttests
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Ten Berge, Jos M. F. – Educational and Psychological Measurement, 1972
In the present article it is argued that the Least Squares Simplex Data Matrix Solution does not deal adequately with difficulty factors inasmuch as the theoretical foundation is insufficient. (Author/CB)
Descriptors: Factor Analysis, Factor Structure, Least Squares Statistics, Mathematical Models
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Wasik, John L. – Educational and Psychological Measurement, 1981
The use of segmented polynomial models is explained. Examples of design matrices of dummy variables are given for the least squares analyses of time series and discontinuity quasi-experimental research designs. Linear combinations of dummy variable vectors appear to provide tests of effects in the two quasi-experimental designs. (Author/BW)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Quasiexperimental Design
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Howell, David C.; McConaughy, Stephanie H. – Educational and Psychological Measurement, 1982
It is argued here that the choice of the appropriate method for calculating least squares analysis of variance with unequal sample sizes depends upon the question the experimenter wants to answer about the data. The different questions reflect different null hypotheses. An example is presented using two alternative methods. (Author/BW)
Descriptors: Analysis of Variance, Hypothesis Testing, Least Squares Statistics, Mathematical Models
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Shine, Lester C., II – Educational and Psychological Measurement, 1981
An integrated study of Shine's actualized and pure single-subject behavior functions can produce more information than studying only one function. After summarizing the mathematics behind Shine's viewpoint, an ordinary regression analysis approach to the actualized behavior function is integrated with a time-series analysis approach to the pure…
Descriptors: Behavior Theories, Least Squares Statistics, Mathematical Models, Operant Conditioning
Peer reviewed Peer reviewed
Cohen, Jacob – Educational and Psychological Measurement, 1980
When sample sizes and/or X intervals are unequal, the analysis of variance computations for trend analysis become quite complicated. This article shows how multiple regression/correlation analysis may be applied in order to accomplish with great simplicity trend analysis under "irregular" conditions. (Author/RL)
Descriptors: Correlation, Least Squares Statistics, Mathematical Models, Multiple Regression Analysis
Peer reviewed Peer reviewed
Brown, R. L. – Educational and Psychological Measurement, 1992
A Monte Carlo study explores the robustness assumption in structural equation modeling of using a full information normal theory generalized least-squares estimation procedure on Type I censored data. The efficacy of the following proposed alternate estimation procedures is assessed: asymptotically distribution free estimator and a latent…
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Least Squares Statistics