Statistics Question

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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There are two treatments under consideration and each treatment is administered to a group of n=16 individuals. Therefore, there are 32 individuals in total.

Now the df values for the repeated-measure design F−ratio are:

dfbetween treatments=k−1=2−1=1

dfbetween subjects=n−1=16−1=15

dfwithin=N−k=32−2=30

dferror=dfwithin−dfbetween subjects

     =30−15=15

dftotal=N−1=32−1=31

Also we are given, MSbetween treatments=8, therefore the

SSbetween treatments=MSbetween treatment×dfbetween treatments=8×1=8

SSwithin=SStotal−SSbetween treatments=103−8=95

SSwithin subjects=SStotal−SSError−SSbetween treatments=103−60−8=35

MSError=SSError/dfError=60/15=4

F=MSbetween treatments/MSError=84=2

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