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ERIC Number: EJ1312334
Record Type: Journal
Publication Date: 2021
Pages: 11
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0895-7347
EISSN: N/A
Available Date: N/A
Coefficient [beta] as Extension of KR-21 Reliability for Summed and Scaled Scores for Polytomously-Scored Tests
Applied Measurement in Education, v34 n2 p139-149 2021
KR-21 reliability and its extension (coefficient [alpha]) gives the reliability estimate of test scores under the assumption of tau-equivalent forms. KR-21 reliability gives the reliability estimate for summed scores for dichotomous items when items are randomly sampled from an infinite pool of similar items (randomly parallel forms). The article extends KR-21 to coefficient [beta] to estimate reliability of summed scores for test with any item scoring pattern under the same assumption of KR-21. Also, the article presents coefficient G[beta] to estimate this reliability for nonlinearly scaled scores for any type of items. The article shows that coefficient [beta] is slightly different from the classical index of reliability. Results show that coefficient [beta] is not equal to the classical index of reliability for summed scores and scaled scores. Moreover, results using real data on psychological instruments reveal that different score scales yield different coefficient G[beta] reliability estimates that are less than coefficient G[alpha] by a function related to form-to-form differences in averages.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Oman
Grant or Contract Numbers: N/A
Author Affiliations: N/A