Composite Reliability and AVE Calculator
Already have standardized loadings from AMOS, SmartPLS or a paper? Paste them to calculate composite reliability (ρc) and average variance extracted, and add construct correlations to check the Fornell–Larcker criterion.
Updated · By Bibin XavierData 180 × 12
| Respondenttext · 180 levels | TR1numeric · coded | TR2numeric · coded | TR3numeric · coded | TR4numeric · coded | SAT1numeric · coded | SAT2numeric · coded | SAT3numeric · coded | SAT4numeric · coded | LOY1numeric · coded | LOY2numeric · coded | LOY3numeric · coded |
|---|---|---|---|---|---|---|---|---|---|---|---|
| R001 | 2 | 2 | 1 | 2 | 3 | 1 | 3 | 3 | 4 | 2 | 3 |
| R002 | 5 | 4 | 5 | 4 | 3 | 4 | 3 | 4 | 4 | 3 | 4 |
| R003 | 4 | 4 | 3 | 4 | 1 | 2 | 2 | 4 | 2 | 3 | 1 |
| R004 | 1 | 2 | 3 | 2 | 4 | 4 | 4 | 4 | 3 | 4 | 4 |
| R005 | 3 | 4 | 2 | 3 | 3 | 3 | 3 | 4 | 3 | 2 | 2 |
| R006 | 5 | 4 | 5 | 4 | 5 | 5 | 4 | 4 | 4 | 3 | 4 |
| R007 | 3 | 4 | 4 | 4 | 3 | 3 | 2 | 4 | 1 | 3 | 3 |
| R008 | 3 | 3 | 4 | 4 | 5 | 4 | 5 | 5 | 5 | 5 | 4 |
Variables and options
Results
Calculated in your browserComposite reliability and AVE
| Construct | Items | CR (ρc) | AVE | √AVE | MSV | Verdict |
|---|---|---|---|---|---|---|
| Trust | 4 | .883 | .653 | .808 | .270 | Supported |
| Satisfaction | 4 | .863 | .614 | .783 | .372 | Supported |
| Loyalty | 3 | .901 | .752 | .867 | .372 | Supported |
Note. CR = (Σλ)² / [(Σλ)² + Σ(1 − λ²)]; AVE = Σλ² / k (Fornell and Larcker, 1981). Thresholds: CR ≥ .70, AVE ≥ .50, MSV < AVE.
Fornell–Larcker criterion
| Trust | Satisfaction | Loyalty | |
|---|---|---|---|
| Trust | .808 | ||
| Satisfaction | .520 | .783 | |
| Loyalty | .470 | .610 | .867 |
Interpretation
All constructs meet the thresholds for composite reliability and convergent validity.
How to cite this tool
Using these results in a thesis, journal article, report or class assignment? Please cite this free tool so others can find it. It keeps the site free.
APA 7
Xavier, B. (2026). Composite Reliability and AVE Calculator [Web application]. FreeStatisticalTools.com. https://freestatisticaltools.com/composite-reliability-ave-calculator/
BibTeX
@software{xavier_cravecalculator_2026,
author = {Xavier, Bibin},
title = {Composite Reliability and AVE Calculator},
publisher = {FreeStatisticalTools.com},
year = {2026},
url = {https://freestatisticaltools.com/composite-reliability-ave-calculator/},
note = {Web application}
}Suggested sentence for your methods section: “The analysis was carried out with the free Composite Reliability and AVE Calculator tool on FreeStatisticalTools.com (Xavier, 2026).”
What is composite reliability and AVE?
Composite reliability and average variance extracted summarise how well a construct’s indicators measure it. Paste the standardized loadings from AMOS, lavaan, SmartPLS or a published paper to calculate both, and add construct correlations to test discriminant validity.
When to use composite reliability and AVE
Use it when you have standardized loadings but not the raw data, for example to check values reported in a paper or exported from AMOS.
How to use this calculator
- Choose the variables. Select the standardized loadings (one construct per line) and construct correlations (optional).
- Read the results. Results update automatically. Read the plain-English interpretation, then use Copy table to paste APA-style tables into Word and Copy for the results sentence.
How to report composite reliability and AVE in APA style
Report CR and AVE for each construct alongside Cronbach’s alpha.
Frequently asked questions
What is the formula for composite reliability?
CR = (Σλ)² / [(Σλ)² + Σ(1 − λ²)], where λ are the standardized loadings of the construct’s indicators.
What is the formula for AVE?
AVE = Σλ² / k, the mean of the squared standardized loadings, where k is the number of indicators.
Can CR be high while AVE is low?
Yes. Many moderately loading items can give acceptable CR with AVE below .50, which signals weak convergent validity.
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