Cronbach's Alpha Calculator
Cronbach's alpha (α) is the coefficient of internal consistency reliability: it shows how consistently the items of a scale measure the same construct, and it is reported in almost every thesis and paper that uses a questionnaire. Alpha normally runs between 0 and 1; the closer it is to 1, the more the items agree with one another and the more consistent the measurement is. Findings obtained with a scale of low reliability cannot be interpreted soundly, however large the sample.
Paste in a score matrix with one row per respondent and one column per item (copy-paste from Excel or SPSS works): the calculator returns the alpha coefficient, its interpretation against the George and Mallery cutoffs, and an item analysis table with the mean, standard deviation, corrected item-total correlation, and "alpha if item deleted" for each item. Always reverse code your reverse-worded items before entering the data.
Cronbach's Alpha Reliability Cutoffs
The alpha coefficient is interpreted against George and Mallery's widely cited classification; the generally accepted lower bound for research use is 0.70. The cutoffs below are the boundaries this calculator uses to produce its "reliability level" label. In item analysis, a corrected item-total correlation of at least 0.30 is also expected.
- Excellent
- α ≥ 0.90
- The level expected in clinical and selection measures where decisions are made about individuals; values above 0.95 can point to item redundancy
- Good
- 0.80 – 0.90
- The band most often reported in theses and papers
- Acceptable
- 0.70 – 0.80
- The generally accepted lower bound for research use
- Questionable
- 0.60 – 0.70
- Accepted only in exploratory studies, and only with caution
- Poor
- 0.50 – 0.60
- The scale needs to be reviewed through an item analysis
- Unacceptable
- α < 0.50
- Negative values almost always come from reverse-worded items that were not reverse coded
Formula
α = (k / (k − 1)) · (1 − Σs²ᵢ / s²ₜ) k: number of items Σs²ᵢ: sum of the item variances s²ₜ: variance of the total score
If the items agree with one another, the variance of the total score is far larger than the sum of the item variances and alpha approaches 1; if the items are unrelated, the two variances converge and alpha drops toward zero. The variances use the sample formula (with the n − 1 denominator), so the results match SPSS exactly.
How to Calculate
- Paste your data into the box with one row per respondent and one column per item; the scores can be separated by spaces, commas, or tabs.
- If your scale has reverse-worded items, reverse code them before entering the scores (for a 5-point Likert item: new score = 6 − old score).
- Read the alpha coefficient and its interpretation against the George-Mallery cutoffs in the results section.
- In the item analysis table, check the items whose item-total correlation falls below 0.30 and look at the 'alpha if deleted' column.
- Base the decision to drop an item not on the statistics alone, but on content validity and a theoretical justification as well.
Worked Examples
A 5-item scale with 10 respondents
For the 5-item scores of 10 respondents, α = 0.940 — excellent internal consistency. All item-total correlations are high (0.942 for Item 1, for example) and deleting any item lowers alpha: dropping Item 1 brings it down to 0.907.
Cronbach's alpha (α): 0.940 · Reliability level: mükemmel · Number of items (k): 5
An item that was not reverse coded (error example)
In this 6-respondent data set, item 2 is reverse worded and was entered without being reverse coded: alpha collapses to the meaningless value of -1.176. The item-total correlation of Item 2 is -0.966, and deleting that item raises alpha to 0.943 — the classic signature of a reverse-coding mistake.
Cronbach's alpha (α): -1.176 · Reliability level: kabul edilemez · Number of items (k): 4