Page 99 - Contributed Paper Session (CPS) - Volume 2

CPS1442 Uzuke C.A. et al.
3. Illustration
In a clinical, 15 male patients were given Three (3) different doses (A, B, C)
of a certain drug to lower their heart beat, which the clinician believe that
lowers heart beat. The reduction in heart beat of these male patient following
the administration of three different dose levels of the drug is presented in
Table 1.
Table 1 Reduction on heart beat of Male Patient when administered
withThree (3) different doses of a certain Drug
Patient Number A B C
1 5 6 3
2 6 4 8
3 2 3 8
4 2 5 7
5 3 5 4
6 4 5 3
7 12 7 7
8 6 12 7
9 7 5 3
10 3 4 4
11 4 3 3
12 8 6 7
13 2 7 7
14 13 7 8
15 5 8 10
Interest is in testing the null hypothesis that the reduction in heart beat is
the same on each of the three dose level of the drug. Also, we will further look
at the situation that the reduction in heart beat is the same for the different
male patients
In order to obtain the test statistic to test the hypothesis of Equations 1
and 14 for both conditions, the common median (M) for the observations was
obtained as M = 5. These observations were replaced by the values of 1 if the
observation is grater than M, -1 if the observation is less than M and 0 if the
observation is equal to M. Furthermore the values of p j , p j and p j were also
+
-
0
obtained and presented in table 2

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