Cronbach's Alpha Calculator

Estimate Cronbach's Alpha, a measure of internal consistency reliability, from the number of test items and average inter-item correlation.

Average of all pairwise item correlations

Cronbach's Alpha

0.896

Reliability Level7

Cronbach's Alpha vs Number of Test Items

How Cronbach's Alpha Works

Cronbach's Alpha estimates reliability based on the number of items and their average correlation. Higher alpha means the items consistently measure the same construct.

Standardized Alpha Formula

Alpha = (k x r_avg) / (1 + (k - 1) x r_avg)

Where k is the number of items and r_avg is the average inter-item correlation.

Interpretation

  • 0.90+: Excellent reliability
  • 0.80-0.89: Good reliability
  • 0.70-0.79: Acceptable reliability
  • Below 0.70: Questionable to poor
  • Example Calculation

    A 20-item survey has an average inter-item correlation of 0.30.

    1. 01Numerator: 20 x 0.30 = 6.0
    2. 02Denominator: 1 + (20 - 1) x 0.30 = 1 + 5.7 = 6.7
    3. 03Alpha = 6.0 / 6.7 = 0.896
    4. 04Interpretation: Good reliability (0.80-0.89)

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