Raw Cronbach alpha calculator

Calculate raw Cronbach alpha and item count with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use raw Cronbach alpha and item count to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Respondents × scored items JSON
[[1,2,1],[2,3,2],[4,4,5],[3,4,3],[5,5,4]]
Raw Cronbach alpha
0.953757
Item count
3

Try another scenario

Respondents × scored items JSON
[[2,2,1],[2,3,2],[4,4,5],[3,4,3],[5,5,4]]
Raw Cronbach alpha
0.938776
Item count
3
Calculation method

Calculation method

Raw Cronbach alpha

alpha=k/(k-1)×(1-sum(item sample variances)/variance(row totals)).

Item count

alpha=k/(k-1)×(1-sum(item sample variances)/variance(row totals)).

Symbols and units
a
Respondents × scored items JSON

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Raw alpha; items must already have required reverse scoring. Reliability is not validity. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Raw alpha; items must already have required reverse scoring. Reliability is not validity.
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