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Mikkelsen, Kim Sass – Sociological Methods & Research, 2017
Contemporary case studies rely on verbal arguments and set theory to build or evaluate theoretical claims. While existing procedures excel in the use of qualitative information (information about kind), they ignore quantitative information (information about degree) at central points of the analysis. Effectively, contemporary case studies rely on…
Descriptors: Case Studies, Mathematical Models, Theories, Causal Models
Shabani Varaki, Bakhtiar; Floden, Robert E.; Javidi Kalatehjafarabadi, Tahereh – Open Review of Educational Research, 2015
This article focuses on the criticisms of current approaches in educational research methodology. It summarizes rationales for mixed methods and argues that the mixing quantitative paradigm and qualitative paradigm is problematic due to practical and philosophical arguments. It is also indicated that the current rise of mixed methods work has…
Descriptors: Educational Research, Mixed Methods Research, Research Problems, Philosophy
Dorie, Vincent; Harada, Masataka; Carnegie, Nicole Bohme; Hill, Jennifer – Grantee Submission, 2016
When estimating causal effects, unmeasured confounding and model misspecification are both potential sources of bias. We propose a method to simultaneously address both issues in the form of a semi-parametric sensitivity analysis. In particular, our approach incorporates Bayesian Additive Regression Trees into a two-parameter sensitivity analysis…
Descriptors: Bayesian Statistics, Mathematical Models, Causal Models, Statistical Bias
Design and Analysis Problems Associated with Qualitative Data in Educational Research. Final Report.
Fienberg, Stephen E.; Larntz, Kinley – 1979
This research project addresses a series of methodological and theoretical statistical problems in the analysis of categorical data using loglinear and logistic response models, which grow directly out of problems in the study of the American educational system, and in basic educational research. The project focuses on the adaptation and…
Descriptors: Data Analysis, Educational Research, Mathematical Models, Research Problems
Peer reviewedPlewis, Ian – Journal of Educational Statistics, 1981
Simple Markov models are fitted to a small sample of longitudinal categorical data of teachers' ratings of children's classroom behavior. Although the data consist only of observations at five occasions, it was possible, after dividing the data into two groups, to fit plausible models in continuous time. (Author/BW)
Descriptors: Longitudinal Studies, Mathematical Models, Research Problems, Statistical Analysis
Peer reviewedMicceri, Theodore – Educational and Psychological Measurement, 1990
The use of proportions to transform raw scores into standardized, dimensionless units creates measurement problems. The use of fractional (percentage) uncertainties for physical or any other measurements results in other problems. Means of dealing with associated problems of standardization are discussed. (TJH)
Descriptors: Mathematical Models, Measurement Techniques, Ratios (Mathematics), Raw Scores
Peer reviewedBrannick, Michael T.; Spector, Paul E. – Applied Psychological Measurement, 1990
Applications of the confirmatory factor analysis block-diagonal model to published data on 18 multitrait-multimethod matrices were reviewed to show widespread estimation problems. Possible causes of estimation difficulties were explored using computer simulations. These problems make the block-diagonal approach less useful than has generally been…
Descriptors: Estimation (Mathematics), Mathematical Models, Matrices, Multitrait Multimethod Techniques
Peer reviewedHowell, 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
Peer reviewedSands, Richard; Young, Forrest W. – Psychometrika, 1980
A review of existing techniques for the analysis of three-way data revealed that none were appropriate to the wide variety of data usually encountered in psychological research, and few were capable of both isolating common information and systematically describing individual differences. Such a model is developed and evaluated. (Author/JKS)
Descriptors: Algorithms, Least Squares Statistics, Mathematical Models, Measurement
Peer reviewedSmith, Kent W.; Sasaki, M. S. – Sociological Methods and Research, 1979
A method is proposed for overcoming the problem of multicollinearity in multiple regression equations where multiplicative independent terms are entered. The method is not a ridge regression solution. (JKS)
Descriptors: Correlation, Hypothesis Testing, Mathematical Models, Multiple Regression Analysis
Peer reviewedWilcox, Rand R. – Journal of Educational Statistics, 1984
Two stage multiple-comparison procedures give an exact solution to problems of power and Type I errors, but require equal sample sizes in the first stage. This paper suggests a method of evaluating the experimentwise Type I error probability when the first stage has unequal sample sizes. (Author/BW)
Descriptors: Hypothesis Testing, Mathematical Models, Power (Statistics), Probability
Peer reviewedMuthen, Bengt; Joreskog, Karl G. – Evaluation Review, 1983
Selectivity problems are discussed in terms of a general model that is estimated by the maximum likelihood method. Both single-group and multiple-group analyses are considered. An extension of the general model to latent variable models is discussed. (Author/PN)
Descriptors: Mathematical Models, Maximum Likelihood Statistics, Quasiexperimental Design, Research Methodology
Peer reviewedWood, Phillip Karl; Games, Paul – Multivariate Behavioral Research, 1990
Conceptual rationales from five research contexts are presented, which all posit unmeasured variables that interact with observed independent variables to produce a complete model of the dependent variable. Strategies for overcoming related difficulties are outlined, including increased longitudinal assessment, oversampling of levels of…
Descriptors: Estimation (Mathematics), Longitudinal Studies, Mathematical Models, Multivariate Analysis
Peer reviewedSinger, Judith, D. – Journal of Experimental Education, 1987
A two-stage generalized least squares model is developed for estimating the linear regression of an individual outcome on a group characteristic in studies of multilevel data. Results of this model are compared to the results of analytic methods, and formulas are developed for assessing the accuracy of the traditional approaches. (Author/JAZ)
Descriptors: Error of Measurement, Least Squares Statistics, Mathematical Models, Regression (Statistics)
Peer reviewedHill, Peter W.; Rowe, Kenneth J. – School Effectiveness and School Improvement, 1996
Results from numerous school- and teacher-effectiveness studies suggest that variation between classes is more significant than variation between schools, though evidence often seems contradictory. This article considers why different studies generate different findings, identifies key study design issues, and relates these observations to…
Descriptors: Effective Schools Research, Elementary Secondary Education, Foreign Countries, Mathematical Models

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