Referring to box 10.2, verify that for the following data, MSBG = 14.4 and MSWG = 12.59.
|
G1
|
G2
|
G3
|
|
9
|
16
|
7
|
|
10
|
8
|
6
|
|
15
|
13
|
9
|
|
|
6
|
|
2. Consider five groups ( J = 5) with population means 3, 4, 5, 6, and 7, and a common variance σ2 p = 2. If the number of observations is 10 (n = 10), indicate what is being estimated by MSBG, and based on the information given, determine its value.
That is, if the population means and common variance were known, what would the value of MSBG be if it were giving perfectly accurate information? How does this differ from the value estimated by MSWG?