The following formula is involved in the calculation of intraclass correlation values for an analysis of variance (ANOVA) study:

Intraclass correlation for analysis of variance (ANOVA):
where MS_{between} is the betweengroups mean square, MS_{within} is the withingroups mean square, and n is the number of subjects in each group.

The following references can be used to cite this analysis of variance (anova) intraclass correlation calculator:
 Soper, D.S. (2016). Analysis of Variance (ANOVA) Intraclass Correlation Calculator [Software]. Available from http://www.danielsoper.com/statcalc 
 Scheffé, H. (1999). The Analysis of Variance. New York, NY: Wiley. 