(a) since p-value of ENK is less than typical value of level of significance alpha=0.05, so we conclude that adminitsration of ENK alter the sensory threshold in mice
(b) here we use fisher LSD to find the pair-wise multiple comparison for significantly different from one another
LSD=t(alpha/2, error df)*sqrt(2*MSE/r)=t(0.05/2, 12)*SQRT(2*9.4/5)=2.179*1.939=4.225
so any difference greater than 4.225 will be signficant
ENK | difference | LSD | Remarks |
0-2 | 0.8 | 4.225 | not significant |
0-5 | 10.8 | 4.225 | singifiant |
0-20 | 5.6 | 4.225 | singifiant |
2--5 | 10 | 4.225 | singifiant |
2-20 | 6.4 | 4.225 | singifiant |
5-20 | 16.4 | 4.225 | singifiant |
following information has been generated using ms-excel
Anova: Two-Factor Without Replication | ||||||
SUMMARY | Count | Sum | Average | Variance | ||
Row 1 | 4 | 108 | 27 | 60 | ||
Row 2 | 4 | 64 | 16 | 26.667 | ||
Row 3 | 4 | 92 | 23 | 28 | ||
Row 4 | 4 | 136 | 34 | 104 | ||
Row 5 | 4 | 98 | 24.5 | 51.667 | ||
Column 1 | 5 | 132 | 26.4 | 76.8 | ||
Column 2 | 5 | 128 | 25.6 | 42.8 | ||
Column 3 | 5 | 78 | 15.6 | 14.8 | ||
Column 4 | 5 | 160 | 32 | 64 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Enk | 698.2 | 3 | 232.733 | 24.759 | 0.000 | 3.490 |
Subject | 680.8 | 4 | 170.200 | 18.106 | 0.000 | 3.259 |
Error | 112.8 | 12 | 9.4 | |||
Total | 1491.8 | 19 |
You have conducted an experiment looking at the impact of encephalin (ENK) on sensory thresholds ...