Question

What is the formula for ANOVA

Answer 1

p = 3
n = 5
N = 15
x ¯   = 16
SST   = ∑n(x−x ¯ ) 2  
SST  = 5(12−16) 2 +5(16−16) 2 +11(20−16) 2  
= 160
MST  = SSTp−1  
MST  = 1603−1  
= 80
SSE  = ∑(n−1)S 2  
SSE = 4*4 + 4*1 + 4*16
= 84
MSE  = SSEN−p  
MSE  = 8415−3  
MSE = 7
F  = MSTMSE  
F  = 807  
= 11.429