Composite Reliability Calculator

Compute composite reliability in seconds: choose your input method (upload, paste, or manual entry), instantly determine composite reliability, view a plot of the confidence intervals, and download resources.

v4.0.0 • Build 20260118
How to Cite

Colwell, S. R. (2014). The composite reliability calculator user's guide. https://doi.org/10.13140/RG.2.1.4298.0888

Input Data

Choose a method to enter factor loadings.

Factor Loadings Start Here

Enter or view your factor loadings.

Std. Loading Error Var. Item r2
⋮ Item 1 — —
⋮ Item 2 — —
⋮ Item 3 — —
Composite Reliability (ω): —    
Average Variance Extracted (AVE): —    
Cronbach's Alpha (α): —    

Equations

Composite Reliability (ω)

$$\omega = \frac{\left(\sum \lambda_i\right)^2}{\left(\sum \lambda_i\right)^2 + \sum \theta_i}$$

where:

λ = std. factor loading

θ = error variance

Cronbach's Alpha (α)

$$\alpha = \frac{k \bar{r}}{1 + (k-1)\bar{r}}$$

where:

k = number of items

r̄ = avg. inter-item correlation

Composite Reliability Estimation

Based on your input

Reliability Results

Thresholds: ω ≥ 0.700 • AVE ≥ 0.500

Factor Loading
Item r2
Theme

Interpretation: Based on your factor loadings, your scale demonstrates acceptable reliability for research purposes.

Consider whether your scale meets both ω ≥ 0.70 and AVE ≥ 0.50 thresholds.

Composite Reliability Results

Table 1
Factor Loadings and Composite Reliability Estimates
Item Loading Error Var. Item r2
Item 1 — — —
Item 2 — — —
Item 3 — — —
Composite Reliability (ω) —
Average Variance Extracted (AVE) —
Cronbach's Alpha (α) —

R Code

Reproduce this analysis in R

Copy this code to reproduce the analysis in R. Python support is coming soon.

R Code
Computation Accuracy
Computed locally in your browser. Results typically match R; minor differences may occur due to distributional approximations, integer rounding, or continuity corrections.
New to R? This code uses base R functions and common packages.
  • Install required packages once with install.packages()
  • Load packages with library()
  • Modify the values to match your data
  • Run line-by-line to understand each step
References

Carmines, E. G., & Zeller, R. A. (1979). Reliability and validity assessment (Vol. 17). Sage. https://doi.org/10.4135/9781412985642

Colwell, S. R. (2014). The composite reliability calculator user's guide. https://doi.org/10.13140/RG.2.1.4298.0888

Raykov, T. (1997). Estimation of composite reliability for congeneric measures. Applied Psychological Measurement, 21(2), 173–184.

Padilla, M. A., & Divers, J. (2016). A Comparison of Composite Reliability Estimators: Coefficient Omega Confidence Intervals in the Current Literature. Educational and Psychological Measurement, 76(3), 436–453. https://doi.org/10.1177/0013164415593776