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Cronbach's Alpha Calculator

Paste respondent-by-item score data below to calculate Cronbach's alpha and see whether your scale is internally consistent.

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Cronbach's alpha
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Interpretation
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Items (k)
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Respondents (n)
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The Cronbach's alpha formula

Cronbach's alpha is calculated as alpha equals k divided by (k minus 1), multiplied by 1 minus the sum of each item's variance divided by the variance of the total summed score, where k is the number of items in your scale. It ranges from 0 to 1, with higher values indicating that items in a scale tend to move together, a proxy for whether they are all measuring the same underlying construct.

How to read your data into this calculator

Paste one row per respondent, with each item's score separated by a comma or space, and every row must contain the same number of items. A typical use case is a multi-item survey scale, for example four Likert-style questions all meant to measure the same construct like customer satisfaction, answered by a set of respondents.

Interpreting your alpha score

A commonly used rule of thumb treats alpha above 0.9 as excellent, 0.8 to 0.9 as good, 0.7 to 0.8 as acceptable, 0.6 to 0.7 as questionable, 0.5 to 0.6 as poor, and below 0.5 as unacceptable for research use. An unusually high alpha above roughly 0.95 is often a sign of redundant items rather than a genuinely stronger scale, since it can mean several questions are just restating the same thing.

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FAQ

Cronbach's Alpha Calculator: questions, answered

What is a good Cronbach's alpha score?
A common rule of thumb treats 0.7 to 0.8 as acceptable, 0.8 to 0.9 as good, and above 0.9 as excellent for research purposes, though the right threshold can vary by field and use case.
How many items and respondents do I need?
This calculator requires at least 2 items and 2 respondents to run, but Cronbach's alpha is generally more stable and trustworthy with at least 3 to 5 items and a reasonably sized respondent sample, ideally 30 or more.
What formula does this calculator use?
Alpha equals k divided by (k minus 1), multiplied by 1 minus the sum of individual item variances divided by the variance of respondents' total summed scores, using sample variance for both.
Can Cronbach's alpha be negative?
Yes, though it is uncommon. A negative alpha usually signals that items are inconsistently coded (for example, some questions need to be reverse-scored) or that the items do not actually measure a shared underlying construct.
What's the difference between Cronbach's alpha and test-retest reliability?
Cronbach's alpha measures internal consistency, whether items within a single administration of a scale correlate with each other. Test-retest reliability instead measures whether the same respondents give consistent answers when tested again at a later time.

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