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Feldt, Leonard S. – Psychometrika, 1975
In some situations where reliability must be estimated it is impossible to divide the measuring instrument into more than two separately scoreable parts. In such a case, neither Cronbach's coefficient alpha nor Kristof's three-part approach are satisfactory. A technique is developed for estimating reliability in such situations. (Author/BJG)
Descriptors: Achievement Tests, Mathematical Models, Test Reliability, Testing Problems
Peer reviewed Peer reviewed
Buchanan, Bruce – Psychometrika, 1988
A model is proposed that describes subject behavior on repeat paired comparison preference tests. The model extends prior work in this area in that it explicitly allows for abstentions and permits the derivation of individual true scores of discrimination ability as well as conditional estimates of proportionate preference. (Author/TJH)
Descriptors: Attitude Measures, Equations (Mathematics), Guessing (Tests), Mathematical Models
Peer reviewed Peer reviewed
Meredith, William; Millsap, Roger E. – Psychometrika, 1992
A unified treatment is presented for conditions that should allow detection of measurement bias using statistical procedures involving only observed or manifest variables. Computational results demonstrate that methods for studying bias that rely exclusively on manifest variables are not generally diagnostic of the presence or absence of…
Descriptors: Bayesian Statistics, Equations (Mathematics), Identification, Item Bias
Peer reviewed Peer reviewed
Lord, Frederic M. – Psychometrika, 1975
For the six available sets of empirical data, the discrimination (slope) parameter of the logistic item characteristic curve was found to have a significant positive correlation over items with the difficulty (location) parameter. This unpleasant situation can be eliminated by a suitably chosen transformation of the ability scale. (Author/RC)
Descriptors: Ability, Aptitude Tests, Correlation, Item Analysis
Peer reviewed Peer reviewed
Levine, Joel H. – Psychometrika, 1979
Social and naturally occurring choice phenomena are often of the "pick any" type in which the number of choices made by a subject as well as the set of alternatives from which they are chosen is unconstrained. A model and scaling method for these data are introduced. (Author/JKS)
Descriptors: Data Analysis, Item Analysis, Mathematical Models, Multidimensional Scaling
Peer reviewed Peer reviewed
Gross, Alan L. – Psychometrika, 1990
A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
Peer reviewed Peer reviewed
Wilson, Mark; Masters, Geoffery N. – Psychometrika, 1993
A strategy is described for dealing with measurement situations in which certain categories of responses are null, that is, persons do not respond in certain categories to certain items. The method is described for the partial credit model while maintaining the integrity of the original response framework. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Response Theory, Mathematical Models