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Problem: two way anova {{421,325,320,362},{118,102,122,56},{591,518,552,509},{14,26,20,2},{116,14,26,46}} [ Calculator, Method and examples ]

Your problem `->` two way anova {{421,325,320,362},{118,102,122,56},{591,518,552,509},{14,26,20,2},{116,14,26,46}}

Given problem

`A``B``C``D`Row total `(x_(r))`
Col total `(x_(c))``1260``985``1040``975``4260`

`sum x^2=1757768 ->(A)`

`(sum x_(c)^2)/(r)=1/5(1260^2+985^2+1040^2+975^2)`



`=918010 ->(B)`

`(sum x_(r)^2)/(c)=1/4(1428^2+398^2+2170^2+62^2+202^2)`



`=1737784 ->(C)`

`(sum x)^2/(n)=(4260)^2/20`


`=907380 ->(D)`

Sum of squares total
`SS_T=sum x^2 - (sum x)^2/(n)=(A)-(D)`



Sum of squares between rows
`SS_R=(sum x_(r)^2)/(c) - (sum x)^2/(n)=(C)-(D)`

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