NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 6 results Save | Export
Taking the Error Term of the Factor Model into Account: The Factor Score Predictor Interval
Peer reviewed Peer reviewed
Direct linkDirect link
Beauducel, Andre – Applied Psychological Measurement, 2013
The problem of factor score indeterminacy implies that the factor and the error scores cannot be completely disentangled in the factor model. It is therefore proposed to compute Harman's factor score predictor that contains an additive combination of factor and error variance. This additive combination is discussed in the framework of classical…
Descriptors: Factor Analysis, Predictor Variables, Reliability, Error of Measurement
An Evaluation of Item Response Theory Classification Accuracy and Consistency Indices
Peer reviewed Peer reviewed
Direct linkDirect link
Wyse, Adam E.; Hao, Shiqi – Applied Psychological Measurement, 2012
This article introduces two new classification consistency indices that can be used when item response theory (IRT) models have been applied. The new indices are shown to be related to Rudner's classification accuracy index and Guo's classification accuracy index. The Rudner- and Guo-based classification accuracy and consistency indices are…
Descriptors: Item Response Theory, Classification, Accuracy, Reliability
Consistency of Rasch Model Parameter Estimation: A Simulation Study.
Peer reviewed Peer reviewed
van den Wollenberg, Arnold L.; And Others – Applied Psychological Measurement, 1988
The unconditional--simultaneous--maximum likelihood (UML) estimation procedure for the one-parameter logistic model produces biased estimators. The UML method is inconsistent and is not a good alternative to conditional maximum likelihood method, at least with small numbers of items. The minimum Chi-square estimation procedure produces unbiased…
Descriptors: Computer Simulation, Estimation (Mathematics), Maximum Likelihood Statistics, Reliability
The Precision of Gain Scores under an Item Response Theory Perspective: A Comparison of Asymptotic and Exact Conditional Inference about Change.
Peer reviewed Peer reviewed
Fischer, Gerhard H. – Applied Psychological Measurement, 2003
Compared approaches to determining the precision of gain scores: (1) the asymptotic normal distribution of the maximum likelihood estimator of the person parameter; and (2) the exact conditional distribution of the gain score. Use of three data sets illustrates that these methods yield more relevant and more detailed information than traditional…
Descriptors: Estimation (Mathematics), Item Response Theory, Maximum Likelihood Statistics, Reliability
Some Reliability Estimates for Computerized Adaptive Tests.
Peer reviewed Peer reviewed
Nicewander, W. Alan; Thomasson, Gary L. – Applied Psychological Measurement, 1999
Derives three reliability estimates for the Bayes modal estimate (BME) and the maximum-likelihood estimate (MLE) of theta in computerized adaptive tests (CATs). Computes the three reliability estimates and the true reliabilities of both BME and MLE for seven simulated CATs. Results show the true reliabilities for BME and MLE to be nearly identical…
Descriptors: Ability, Adaptive Testing, Bayesian Statistics, Computer Assisted Testing
Recovery of Marginal Maximum Likelihood Estimates in the Two-Parameter Logistic Response Model: An Evaluation of MULTILOG.
Peer reviewed Peer reviewed
Stone, Clement A. – Applied Psychological Measurement, 1992
Monte Carlo methods are used to evaluate marginal maximum likelihood estimation of item parameters and maximum likelihood estimates of theta in the two-parameter logistic model for varying test lengths, sample sizes, and assumed theta distributions. Results with 100 datasets demonstrate the methods' general precision and stability. Exceptions are…
Descriptors: Computer Software Evaluation, Estimation (Mathematics), Mathematical Models, Maximum Likelihood Statistics