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CPS1442 Uzuke C.A. et al.
4. Summary and Conclusion
Note that from the illustration, the probability that a randomly selected
patient has heart beat reduction equal to the overall median is 0.13 that is
13%. Also the attained probability of rejecting a true null hypothesis of equal
median reduction of heart beat with respect to the different drug dose, that is
type 1 error is 0.093 for the two way median test and 0.805333 for the
Friedmann two – way ANOVA. Furthermore, for different male patients, the
probability of rejecting a true null hypothesis of reduction in heart beat equals
the median reduction of heart beat is 0.13073 and 0.17233 for the Friedmann
test indicating that the two-way median test is more powerful than the
Friedmann Two-way ANOVA test. This is further vindicated by the fact that
even though the two chi-square values here both leads to non rejection of the
null hypothesis, the chi-square value obtained using the Two way Median test
( 2 = 36 . 482 ) for male patients, which is nearly twice the Chi-square value
obtained using the Friemann two-way ANOVA ( 2 = 18 ) 8 . . An indication that

the former yields more statistically significant result than the later.

References
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for pairwise comparison of Friedman rank sums, with application to
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