1. The Reliability Factor: Modeling Individual Reliability with Multiple Items from a Single Assessment
- Author
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Philippe Rast and Martin
- Subjects
PsyArXiv|Social and Behavioral Sciences ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Quantitative Psychology ,Computer science ,Applied Mathematics ,bepress|Social and Behavioral Sciences ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Statistical Methods ,bepress|Social and Behavioral Sciences|Psychology|Quantitative Psychology ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods ,PsyArXiv|Social and Behavioral Sciences|Quantitative Methods|Psychometrics ,Reliability (statistics) ,General Psychology ,Reliability engineering - Abstract
Reliability is a crucial concept in psychometrics. Although it is typically estimated as a single fixed quantity, previous work suggests that reliability can vary across persons, groups, and covariates. We propose a novel method for estimating and modeling case-specific reliability without repeated measurements or parallel tests. The proposed method employs a “Reliability Factor” that models the error variance of each case across multiple indicators, thereby producing case-specific reliability estimates. Additionally, we use Gaussian process modeling to a estimate non-linear, non-monotonic function between the latent factor itself and the reliability of the measure, providing an analogue to test information functions in item response theory. The reliability factor model is a new tool for examining latent regions with poor conditional reliability, and correlates thereof, in a classical test theory framework.
- Published
- 2022
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