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Reliability

Cronbach's Alpha — 5-Item Job Satisfaction Scale

Compute Cronbach's α for a 5-item Likert scale. Inter-item covariance matrix, α formula, interpretation.

📊 α = .834 (good reliability)
Step-by-step solution

🔒 8 · Reliability: Cronbach's Alpha

5-Item Job Satisfaction Scale
Reliability
Research Question: Is a 5-item Likert scale measuring job satisfaction internally consistent (n=6 respondents)?
RespondentQ1Q2Q3Q4Q5Sum
14354319
22232211
35455423
43343316
5122128
64544522
2.071.271.272.271.07σ²_T=28.56
Cronbach's Alpha
α = k k 1 ( 1 s i 2 σ T 2 ) s i 2 = 2.07 + 1.27 + 1.27 + 2.27 + 1.07 = 7.95 α = 5 4 ( 1 7.95 28.56 ) = 1.25 × ( 1 0.2783 ) = 1.25 × 0.7217 = 0.902
0.902
α
5
Items
Excellent
Rating
α = .902 → Excellent internal consistency (George & Mallery: α > .90 = Excellent).
APA-7
The internal consistency of the five-item job satisfaction scale was excellent, α = .90, which exceeds the recommended threshold of .70 (Nunnally, 1978).