1. ## Scheffe's test

Hi

What is the exact formula for Scheffe's yest?

2. ## Re: Scheffe's test

Originally Posted by rockyallen7771
Hi

What is the exact formula for Scheffe's yest?

You would get the F critical value (cv) as:

where k is the number of groups and the degrees of freedom are (k-1) and df_w from the overall ANOVA summary (Mean Squares Within).

3. ## Re: Scheffe's test

Hi

If u dont mind can u elaborate it with this anova result.

Region Mean N Source Sum of
Squares df Mean Square F
A 11.96 55 Between Gp 632.5 3 210.826 8.86
B 14.75 160 Within Gp 4425.52 396 11.1756
C 12.10 136 Total 5058 399
D 13.41 49

If I am missing any thing pls mention it.

4. ## Re: Scheffe's test

Sorry the information is not clear.

How to post the information as an image

5. ## Re: Scheffe's test

Region Mean N Source Sum of Squares df Mean Square F
A 11.96 55 Between Gp 632.5 3 210.826 18.86
B 14.75 160 Within Gp 4425.52 396 11.1756
C 12.10 136 Total 5058 399
D 13.41 49

Friends can u understand it?

@Dragan
Pls elaborate Sheffe's formula with this information.

6. ## Re: Scheffe's test

Originally Posted by rockyallen7771

@Dragan
Pls elaborate Sheffe's formula with this information.

Just take the critical value above (F_cv) and multiply it by the standard error to obtain the critical distance.

Thus, if you want to compare region 1 with 4 you would look to see if:

Ybar1 - Ybar4 >= Sqrt[((k-1)*F_.05 (k-1, dfw)]*Sqrt[MSw*(1/n1 + 1/n4)]

11.96 -13.46 >= Sqrt[((3)*2.627)]*Sqrt[11.1756*(1/55 + 1/49)].

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