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Introductory Statistics
Found in: Page 766
Introductory Statistics

Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

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Short Answer

What is the F statistic?

The value of F-statistic=10.404.

See the step by step solution

Step by Step Solution

Step 1: Given Information

Team 1 Team 2 Team 3 Team 4

Step 2: Calculate the F statistics

To find the value of F-statistic:

From our Table, we can calculate


We now can calculate:

SSbetween =sj2nj-sj2n

SSbetween =s125+s225+s325+s425-s1+s2+s3+s4220

where n1=n2=n3=n4=5 and n=n1+n2+n3+n4=20

We calculate,


Step 3: Calculate the sum of squares within the group

SSbetween =109,8-84.05=25.75

Stotal =x2-x2n

Stotal =123-84.05

Stotal =38.95

SSwithin =SStotal -SSbetween

SSwithin =13.2

Step 4: Calculate the mean of square

We calculate MSbetween like:

MSbetween =SSbetween k-1, where k=4

MSbetween =25.753=8.58333

We calculate MSwithin like:

MSwithin =SSwithin n-k

MSwithin =13.216=0.825

Now, we can find F-statistic:

F=MSbetween MSwithin =8.583330.825


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