8/17/2019 STF1103 -Kruskal-Wallis & Friedman Test Assignment v2

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STF1103 Statistics for Biologi I

Assignment on Kruskal-Wallis test and Friedman Test

 Lecturer: Charlie Laman

Question 1Below are the combined MUET scores for three GPA ranges from random samples of high

school seniors. Use the data to test the hypothesis, at the 5 le!el of significance, that there is no

difference MUET score distrib"tion among the three gro"ps.

Hig Scool !"A 3#$1 - %#0 3#0 - 3#$0 0 - &#''

#$$% &%% 5%%

##'% '%% (%%

)5% &%% *5%

#%&% &$% (%%

###% (%% *5%

##5% +'% 5%%

#((% )+% +*%

#$+% +%% +#%

i- Test for the independence of the * scores, "sing the r"s/al01allis non0parametric test.ii- 2f the test is significant, test to see which of the test pairs is3are significant.

Question &4ere are raw sample data on the womens heights in inches as bro/en down by (arious age

grou)s. Test the n"ll hypothesis that heights ha!e the same distrib"tion for each age gro"p.

Age # $ * ( 5 ' & +

&0-&' ') '+.$5 '+.$5 ').$5 &%.&5 '+.&5 &$.5 ').&5

30-3' '(.&5 '&.5 '+.$5 '& '(.&5 ''.5 '( '+.$5

%0-%' '% '# '$ '# '$ '* '% '#

$0-$' 5% 5# 5$ 5# 5$ 5$ 5* 5%

(i) Ass"ming the ( age gro"ps are inde)endent* test the ( scores, "sing the r"s/al01allis

non0parametric testii- Ass"ming the ( age gro"ps are de)endent, test the ( scores, "sing the 6riedman non0

 parametric test.

iii- 2f the test is significant for both part i- and ii-, test to see which of the test pairs is3aresignificant

4int7 the ( age gro"ps is the treatment