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Davis, Richard A. – Chemical Engineering Education, 2020
A case study of regression analysis based on modeling Gilliland's correlation was described for use in a computational methods course. The case study uses a familiar example to train students in nonlinear least squares regression and to use standardized residual plots for model assessment. Previously published equations for Gilliland's correlation…
Descriptors: Case Studies, Regression (Statistics), Correlation, Least Squares Statistics
Kilic, Abdullah Faruk; Uysal, Ibrahim; Atar, Burcu – International Journal of Assessment Tools in Education, 2020
This Monte Carlo simulation study aimed to investigate confirmatory factor analysis (CFA) estimation methods under different conditions, such as sample size, distribution of indicators, test length, average factor loading, and factor structure. Binary data were generated to compare the performance of maximum likelihood (ML), mean and variance…
Descriptors: Factor Analysis, Computation, Methods, Sample Size
Asún, Rodrigo A.; Rdz-Navarro, Karina; Alvarado, Jesús M. – Sociological Methods & Research, 2016
This study compares the performance of two approaches in analysing four-point Likert rating scales with a factorial model: the classical factor analysis (FA) and the item factor analysis (IFA). For FA, maximum likelihood and weighted least squares estimations using Pearson correlation matrices among items are compared. For IFA, diagonally weighted…
Descriptors: Likert Scales, Item Analysis, Factor Analysis, Comparative Analysis
Tellinghuisen, Joel – Journal of Chemical Education, 2015
The method of least-squares (LS) has a built-in procedure for estimating the standard errors (SEs) of the adjustable parameters in the fit model: They are the square roots of the diagonal elements of the covariance matrix. This means that one can use least-squares to obtain numerical values of propagated errors by defining the target quantities as…
Descriptors: Least Squares Statistics, Error of Measurement, Error Patterns, Chemistry
He, Qingping; Tymms, Peter – Educational Research and Evaluation, 2014
The assessment of the achievement of students and the quality of schools has drawn increasing attention from educational researchers, policy makers, and practitioners. Various test-based accountability and feedback systems involving the use of value-added techniques have been developed for evaluating the effectiveness of individual teaching…
Descriptors: Educational Assessment, Academic Achievement, Accountability, Regression (Statistics)
Coughlin, Kevin B. – ProQuest LLC, 2013
This study is intended to provide researchers with empirically derived guidelines for conducting factor analytic studies in research contexts that include dichotomous and continuous levels of measurement. This study is based on the hypotheses that ordinary least squares (OLS) factor analysis will yield more accurate parameter estimates than…
Descriptors: Comparative Analysis, Least Squares Statistics, Maximum Likelihood Statistics, Factor Analysis
Ranger, Jochen; Kuhn, Jorg-Tobias – Journal of Educational and Behavioral Statistics, 2013
It is common practice to log-transform response times before analyzing them with standard factor analytical methods. However, sometimes the log-transformation is not capable of linearizing the relation between the response times and the latent traits. Therefore, a more general approach to response time analysis is proposed in the current…
Descriptors: Item Response Theory, Simulation, Reaction Time, Least Squares Statistics
Lee, Chun-Ting; Zhang, Guangjian; Edwards, Michael C. – Multivariate Behavioral Research, 2012
Exploratory factor analysis (EFA) is often conducted with ordinal data (e.g., items with 5-point responses) in the social and behavioral sciences. These ordinal variables are often treated as if they were continuous in practice. An alternative strategy is to assume that a normally distributed continuous variable underlies each ordinal variable.…
Descriptors: Personality Traits, Intervals, Monte Carlo Methods, Factor Analysis
Zhang, Guangjian; Preacher, Kristopher J.; Luo, Shanhong – Multivariate Behavioral Research, 2010
This article is concerned with using the bootstrap to assign confidence intervals for rotated factor loadings and factor correlations in ordinary least squares exploratory factor analysis. Coverage performances of "SE"-based intervals, percentile intervals, bias-corrected percentile intervals, bias-corrected accelerated percentile…
Descriptors: Intervals, Sample Size, Factor Analysis, Least Squares Statistics
Petscher, Yaacov; Kershaw, Sarah; Koon, Sharon; Foorman, Barbara R. – Regional Educational Laboratory Southeast, 2014
Districts and schools use progress monitoring to assess student progress, to identify students who fail to respond to intervention, and to further adapt instruction to student needs. Researchers and practitioners often use progress monitoring data to estimate student achievement growth (slope) and evaluate changes in performance over time for…
Descriptors: Reading Comprehension, Reading Achievement, Elementary School Students, Secondary School Students
Petscher, Yaacov; Kershaw, Sarah; Koon, Sharon; Foorman, Barbara R. – Regional Educational Laboratory Southeast, 2014
Districts and schools use progress monitoring to assess student progress, to identify students who fail to respond to intervention, and to further adapt instruction to student needs. Researchers and practitioners often use progress monitoring data to estimate student achievement growth (slope) and evaluate changes in performance over time for…
Descriptors: Response to Intervention, Achievement Gains, High Stakes Tests, Prediction
Yang-Wallentin, Fan; Joreskog, Karl G.; Luo, Hao – Structural Equation Modeling: A Multidisciplinary Journal, 2010
Ordinal variables are common in many empirical investigations in the social and behavioral sciences. Researchers often apply the maximum likelihood method to fit structural equation models to ordinal data. This assumes that the observed measures have normal distributions, which is not the case when the variables are ordinal. A better approach is…
Descriptors: Structural Equation Models, Factor Analysis, Least Squares Statistics, Computation
Solanas, Antonio; Manolov, Rumen; Sierra, Vicenta – Psicologica: International Journal of Methodology and Experimental Psychology, 2010
In the first part of the study, nine estimators of the first-order autoregressive parameter are reviewed and a new estimator is proposed. The relationships and discrepancies between the estimators are discussed in order to achieve a clear differentiation. In the second part of the study, the precision in the estimation of autocorrelation is…
Descriptors: Computation, Hypothesis Testing, Correlation, Monte Carlo Methods
Reardon, Sean F. – Society for Research on Educational Effectiveness, 2010
Instrumental variable estimators hold the promise of enabling researchers to estimate the effects of educational treatments that are not (or cannot be) randomly assigned but that may be affected by randomly assigned interventions. Examples of the use of instrumental variables in such cases are increasingly common in educational and social science…
Descriptors: Social Science Research, Least Squares Statistics, Computation, Correlation
Kane, Michael T.; Mroch, Andrew A. – Applied Measurement in Education, 2010
In evaluating the relationship between two measures across different groups (i.e., in evaluating "differential validity") it is necessary to examine differences in correlation coefficients and in regression lines. Ordinary least squares (OLS) regression is the standard method for fitting lines to data, but its criterion for optimal fit…
Descriptors: Least Squares Statistics, Regression (Statistics), Differences, Validity
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