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Reference table

What Cronbach's alpha can't tell you, and what can

Table matching six questions about a survey scale to the right tool, such as omega, factor analysis or invariance testing, with alpha as the wrong tool.
Alpha answers one narrow question. Each of the others needs its own test.

A table for anyone reporting a multi-item survey score. It lists six questions people try to answer with Cronbach's alpha, such as whether items measure one thing, whether scores compare across segments, or whether a scale can detect change, and gives the right tool for each: omega, factor analysis, construct validity evidence, measurement invariance, ceiling analysis or significance testing.

Where this appears

What's in this reference table

Question you're askingRight toolWrong tool
Do these items hang together?Omega, average inter-item correlationAlpha alone
Do these items measure one thing?Factor analysis, confirmatory factor modelAlpha
Am I measuring the concept I named?Construct validity evidenceAlpha
Can I compare this score across segments?Measurement invariance testingAlpha
Can the scale detect the change I care about?Ceiling and floor analysis, statistical powerAlpha
Is the difference I found real?Statistical significance, equivalence testingAlpha

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<a href="https://www.koji.so/visuals/scale-quality-questions-right-tool-vs-alpha"><img src="https://www.koji.so/visuals/scale-quality-questions-right-tool-vs-alpha/scale-quality-questions-right-tool-vs-alpha.png" alt="Table matching six questions about a survey scale to the right tool, such as omega, factor analysis or invariance testing, with alpha as the wrong tool." width="1200" height="877" /></a>
<p>Source: <a href="https://www.koji.so/visuals/scale-quality-questions-right-tool-vs-alpha">What Cronbach's alpha can't tell you, and what can</a>, Koji</p>