View Full Version : Finding the F Statistic.
hardisza
Aug 16, 2009, 06:28 PM
A study compares three population means. Three independent samples with 15 observations are each taken. The SSE = 1246 and the SST = 1600. What is the value of the F statistic?
I have no idea how to do this problem. I do know the answer is 5.97 I just have no idea how to get that as an answer... Help me please! Thank you.
jcaron2
Aug 21, 2009, 07:35 AM
First, we know that the total sum of squares, SST, is the sum of the regression sum of squares (SSR) and the error sum of squares (SSE). So
SST = SSE + SSR
and
SSR = SST - SSE = 1600 -1246 = 354
We can calculate the number of degrees of freedom in SSR and SST as
df(SSR) = g - 1 = 3 - 1 = 2
df(SSE) = N - g = 45 - 3 = 42
where g is the number of coefficients in the regression equation and N is the total number of samples.
Now the formula for calculating F is
F = \frac{SSR * df(SSE)}{SSE*df(SSR)}=\frac{354 * 42}{1246*2}=5.96629
See this page for more details:
Correlation between factors (http://home.comcast.net/~sharov/PopEcol/lec4/corfact.html)
upsi
Aug 15, 2011, 01:45 PM
Where did that 45 come from ?