Your Coefficient Alpha Is Probably Wrong, but Which Coefficient Omega Is Right? A Tutorial on Using R to Obtain Better Reliability Estimates

2020/11/06 by David B. Flora · 12 citations
Computer Science · Decision Sciences · Psychology · #Advanced Statistical Modeling Techniques #Personality Traits and Psychology #Psychometric Methodologies and Testing

paper · pdf · doi:10.1177/2515245920951747

openalex publication_date 2020/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Measurement quality has recently been highlighted as an important concern for advancing a cumulative psychological science. An implication is that researchers should move beyond mechanistically reporting coefficient alpha toward more carefully assessing the internal structure and reliability of multi-item scales. Yet a researcher may be discouraged upon discovering that a prominent alternative to alpha, namely, coefficient omega, can be calculated in a variety of ways. In this Tutorial, I alleviate this potential confusion by describing alternative forms of omega and providing guidelines for choosing an appropriate omega estimate pertaining to the measurement of a target construct represented with a confirmatory factor analysis model. Several applied examples demonstrate how to compute different forms of omega in R.

Citations

• On the Relationship between the Higher-Order Factor Model and the Hierarchical Factor Model
• Coefficients Alpha, Beta, Omega, and the glb: Comments on Sijtsma
• Cronbach’s α, Revelle’s β, and Mcdonald’s ωH: their Relations with Each Other and Two Alternative Conceptualizations of Reliability
• On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha
• Coefficient Alpha and the Internal Structure of Tests
• On Misconceptions and the Limited Usefulness of Ordinal Alpha
• A Measurement Is a Choice and Stevens’ Scales of Measurement Do Not Help Make It: A Response to Chalmers

Cited by

• Reporting reliability, convergent and discriminant validity with structural equation modeling: A review and best-practice recommendations
• Battle of the Bands: Trying to Identify Contributions to a Collaboration
• A Critical Evaluation of the Reflective Functioning Questionnaire (RFQ)
• Construct validity evidence reporting practices for the Reading the Mind in the Eyes Test: A systematic scoping review
• Validation of the reading the mind in the eyes test requires an interpretable factor model
• Psychometrically derived 60-question benchmarks: Substantial efficiencies and the possibility of human-AI comparisons
• Impact of Father Involvement and Positive Parenting on Child Mental Health: Insights From a Survey of Ugandan Households
• Reliability representativeness: How well does coefficient alpha summarize reliability across the score distribution?
• Reading the Mind in the Eyes Test Scores Demonstrate Poor Structural Properties in Nine Large Non-Clinical Samples
• Assessing Personality States – The Development and Validation of a Five-Factor Model Personality States Inventory
• Creating a Psychological Test in a Few Seconds
• Psychometric Evaluation of the Culture around Systemic Change Survey: A tool for Assessing Departmental Culture in Physics

Related

• From alpha to omega: A practical solution to the pervasive problem of internal consistency estimation
• Use Omega Rather than Cronbach’s Alpha for Estimating Reliability. But…
• Thanks Coefficient Alpha, We Still Need You!
• Cronbach’s α, Revelle’s β, and Mcdonald’s ωH: their Relations with Each Other and Two Alternative Conceptualizations of Reliability
• Reliability representativeness: How well does coefficient alpha summarize reliability across the score distribution?