Psychometrika
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Statistical methods for a general theory of all-or-none learning
Psychometrika - Tập 35 - Trang 51-72 - 1970
Greeno and Steiner have shown that a three state Markov Chain with a single absorbing state is equivalent to many of the current formalizations of All-or-None learning theories. Distribution statistics and other summary statistics are derived from the general model. Expressions for the maximum likelihood estimators of its parameters and the sampling variances of the estimates are presented. Likeli......
Analysis in terms of frequencies of differences
Psychometrika - Tập 12 - Trang 43-49 - 1947
A technique of analysis utilizing frequencies of differences is described and applied to a hypothetical experiment involving two methods of instruction. A nomograph is provided for computing the chi-square values applicable to the method.
Multidimensional Item Response Theory in the Style of Collaborative Filtering
Psychometrika - Tập 87 - Trang 266-288 - 2021
This paper presents a machine learning approach to multidimensional item response theory (MIRT), a class of latent factor models that can be used to model and predict student performance from observed assessment data. Inspired by collaborative filtering, we define a general class of models that includes many MIRT models. We discuss the use of penalized joint maximum likelihood to estimate individu......
A synthesis of two factor analyses of intermediate algebra
Psychometrika - Tập 24 - Trang 343-359 - 1959
A battery of 18 tests of intermediate algebra and 20 reference tests was administered to two successive second-year algebra classes. Each battery was separately factor analyzed by Thurstone methods, and the two analyses were synthesized by the Tucker method. The five congruent factors obtained were identified as: Verbal Comprehension, Deductive Reasoning, Algebraic Manipulative Skill, Number Abili......
Maximum Likelihood Methods in Treating Outliers and Symmetrically Heavy-Tailed Distributions for Nonlinear Structural Equation Models with Missing Data
Psychometrika - Tập 71 - Trang 565-585 - 2006
By means of more than a dozen user friendly packages, structural equation models (SEMs) are widely used in behavioral, education, social, and psychological research. As the underlying theory and methods in these packages are vulnerable to outliers and distributions with longer-than-normal tails, a fundamental problem in the field is the development of robust methods to reduce the influence of outl......
An autoregressive growth model for longitudinal item analysis
Psychometrika - Tập 81 - Trang 830-850 - 2015
A first-order autoregressive growth model is proposed for longitudinal binary item analysis where responses to the same items are conditionally dependent across time given the latent traits. Specifically, the item response probability for a given item at a given time depends on the latent trait as well as the response to the same item at the previous time, or the lagged response. An initial condit......
On Fair Person Classification Based on Efficient Factor Score Estimates in the Multidimensional Factor Analysis Model
Psychometrika - Tập 83 - Trang 563-585 - 2018
Since Hooker, Finkelman and Schwartzman (Psychometrika 74(3): 419–442, 2009) it is known that person parameter estimates from multidimensional latent variable models can induce unfair classifications via paradoxical scoring effects. The open question as to whether there is a fair and at the same time multidimensional scoring scheme with adequate statistical properties is addressed in this paper. W......
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