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Comparing alternate approaches to calculating reliability for dichotomous data: The sample case of adolescent selection, optimization, and compensation


Napolitano, Christopher M; Callina, Kristina S; Mueller, Megan K (2013). Comparing alternate approaches to calculating reliability for dichotomous data: The sample case of adolescent selection, optimization, and compensation. Applied Developmental Science, 17(3):148-151.

Abstract

Estimating reliability for scales or factors is an essential data analysis step in much of the research in developmental science. In this article, we demonstrate the importance of using the appropriate statistical method and underlying correlation matrix to estimate reliability for dichotomous data that represent a normally-distributed latent factor. We used an example case of three waves of adolescent data collected from responses to the Selection, Optimization, and Compensation questionnaire (SOC; Freund & Baltes, 2002) of intentional self-regulation to illustrate how calculating composite reliability (or ω) using tetrachoric correlations provides a more accurate estimate of reliability when compared to both raw covariance-based ω, as well as raw covariance-based and tetrachoric correlation-based Cronbach's α approaches. In addition, we describe methods for calculating each of these approaches to reliability estimation, and we offer suggestions for future researchers for estimating reliability for such dichotomous data.

Abstract

Estimating reliability for scales or factors is an essential data analysis step in much of the research in developmental science. In this article, we demonstrate the importance of using the appropriate statistical method and underlying correlation matrix to estimate reliability for dichotomous data that represent a normally-distributed latent factor. We used an example case of three waves of adolescent data collected from responses to the Selection, Optimization, and Compensation questionnaire (SOC; Freund & Baltes, 2002) of intentional self-regulation to illustrate how calculating composite reliability (or ω) using tetrachoric correlations provides a more accurate estimate of reliability when compared to both raw covariance-based ω, as well as raw covariance-based and tetrachoric correlation-based Cronbach's α approaches. In addition, we describe methods for calculating each of these approaches to reliability estimation, and we offer suggestions for future researchers for estimating reliability for such dichotomous data.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:06 Faculty of Arts > Institute of Psychology
Dewey Decimal Classification:150 Psychology
Language:English
Date:2013
Deposited On:19 Jul 2013 07:26
Last Modified:05 Apr 2016 16:52
Publisher:Taylor & Francis
ISSN:1088-8691
Funders:National 4-H Council, Thrive Foundation for Youth, John Templeton Foundation
Additional Information:This is an Author's Original Manuscript of an article whose final and definitive form, the Version of Record, has been published in the Applied Developmental Science 2013 (c) Taylor & Francis, available online at: http://www.tandfonline.com/10.1080/10888691.2013.804372
Publisher DOI:https://doi.org/10.1080/10888691.2013.804372

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