Main content
The new approach to describe reliability in tests composed of two items only: Admissible and Plausible reliability ranges
Date created: | Last Updated:
: DOI | ARK
Creating DOI. Please wait...
Category: Project
Description: This is a supplemental material for the paper "The new approach to describe reliability in tests composed of two items only: Admissible and Plausible reliability ranges" Sometimes, researchers want to estimate the test reliability, yet only two items (or subscores) are available. In such cases, a congeneric measurement model (with different linear relations of the items to the true score) is not identified, and thus, the unbiased reliability estimates (such as omega coefficients) cannot be used. We reviewed five conventional approaches under the Classical Test Theory (CTT) geared for such cases, and concluded that all of them pose several assumptions (including tau-equivalent or parallel items and/or apriori known item lengths). We explain how these strong assumptions can bias reliability estimates, especially in tests with different item lengths. Moreover, in specific cases, certain estimates are clearly unrealistic given the possible true reliability values. Further in the paper, we investigate possible bounds of the true reliability given observed data, and suggest using a range in which the reliability parameter shall be located (admissible reliability range), or in which it should be located under very realistic conditions (plausible reliability range). We support the interpretation by a simulation study. Finally, we argue for the new approach (possibly supplemented by the Angoff-Feldt coefficient as a point estimate), and provide recommendations on how to report reliability in tests composed of two items only.
The repository contains three files:
- helpers.R - an R script with two functions (the Spearman-Brown prophecy formula, the function for data simulation).
- r_range.R - the main function that estimates plausible and admissible reliability coefficients.
- simulation and examples.R - an script with examples and the simulation study from the associated paper.
An example of r_range function graphical resu…
Files
Files can now be accessed and managed under the Files tab.
Citation
Recent Activity
Unable to retrieve logs at this time. Please refresh the page or contact support@osf.io if the problem persists.