stf1103 -kruskal-wallis & friedman test assignment v2
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8/17/2019 STF1103 -Kruskal-Wallis & Friedman Test Assignment v2
http://slidepdf.com/reader/full/stf1103-kruskal-wallis-friedman-test-assignment-v2 1/1
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
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