效应量计算器
使用此效应量计算器快速获得准确的计算结果。
Average of all pairwise item correlations
Cronbach's Alpha
0.896
Cronbach's Alpha vs Number of Test Items
公式
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
计算示例
A 20-item survey has an average inter-item correlation of 0.30.
- 01Numerator: 20 x 0.30 = 6.0
- 02Denominator: 1 + (20 - 1) x 0.30 = 1 + 5.7 = 6.7
- 03Alpha = 6.0 / 6.7 = 0.896
- 04Interpretation: Good reliability (0.80-0.89)
常见问题
Can Alpha be too high?
Yes. Alpha above 0.95 may indicate redundant items that could be removed to shorten the test without losing reliability.
How many items do I need for good reliability?
More items generally increase alpha. With moderate inter-item correlations (0.2-0.4), 15-20 items usually achieve alpha above 0.80.
What is the difference between Alpha and test-retest reliability?
Alpha measures internal consistency (one administration). Test-retest measures stability over time (two administrations).