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What is the Mean Square Error?

Short Answer

Expert verified

The Mean square Error is 660.0333.

Step by step solution

01

Given Information

Group 1 Group 2 Group 3
216202170
198213165
240284182
187228197
176210201
02

Explanation

To find the Mean Square Error:

From our Table, we can calculate

s1=1017,s2=1137,s3=915

Now, we can calculate SS as below:

SS(between)=∑sj2nj-∑sj2n

SS(between)=s125+s225+s325-s1+s2+s3215

wheren1=n2=n3=5andn=n1+n2+n3=15

(1017)25+(1137)25+(915)25-(1017+1137+915)215

03

Calculate the sum of squares within groups 

SS(between)=632856.6-627917.4=4939.2

S(total)=∑x2-∑x2n

S(total)=640777-627917.4

S(total)=12859.6

SS(within)=SS(total)-SS(between)

SS(within)=7920.4

04

Calculate the Mean Square

The Mean square Error we calculate like

MSwithin=SSwithindfwithin=SSwithinn-k

MSwithin=7920.412

MSwithin=660.03333

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