Confidence Interval on Linear Combination of Means, Independent Groups (3
of 5)
They are:
M
aspirin= 4
M
Tylenol= 3, and
M
placebo =
2.
L can now be computed as: L = (.5)(4) + (.5)(3) +
(-1)(2) =
1.5.
The estimated value of
is
therefore 1.5.
In order to compute MSE, it is necessary to compute s² for
each group. The values are: 1.334, 1.334, and 0.666. Therefore,
MSE = (1.334
+ 1.334 + 0.666)/3 = 1.111.
Σa² =[.5² + .5² +
(-1)²] = 1.5
Since there are four subjects in each group, n = 4
The component parts of s are now computed: