` = ( "a" + "b" + "c" + "d" - ((( "T1" ) + ( "T2" ) + ( "T3" ) + ( "T4" ))^2 /(( "n1" ) + ( "n2" ) + ( "n3" ) + ( "n4" )) - (( "a" - (( "T1" )^2 /( "n1" ))) + ( "b" - (( "T2" )^2 /( "n2" ))) + ( "c" - (( "T3" )^2 /( "n3" ))) + ( "d" - (( "T4" )^2 /( "n4" )))))) /(3) /((( "a" - (( "T1" )^2 /( "n1" ))) + ( "b" - (( "T2" )^2 /( "n2" ))) + ( "c" - (( "T3" )^2 /( "n3" ))) + ( "d" - (( "T4" )^2 /( "n4" ))))) /( "n1" + "n2" + "n3" + "n4" - 4))`

Enter a value for all fields

Analysis of Variance (ANOVA) evaluates mean differences between two or more treatments or populations (Gravetter and Wallnau, 2013). Functionally, it performs the same kind of analysis as a t-test, but the advantage of an ANOVA is that an ANOVA can compare more than two groups at once, whereas a t-test is limited to two groups. 

Changing Number of Groups

Below are variations on the ANOVA for different groups.

ANOVA with 3 groups

ANOVA with 5 groups

Computing Sum of Values and Sum of Squared Values

Below are various calculators that supply descriptive statistics for sets of data. It is compatible with groups between n=6 and n=12.