Anova: Two-Factor Without Replication | ||||||
SUMMARY | Count | Sum | Average | Variance | ||
Mondays | 8 | 56 | 7 | 9.428571429 | ||
Tuesdays | 8 | 52 | 6.5 | 3.714285714 | ||
Wednesdays | 8 | 46 | 5.75 | 3.071428571 | ||
Thursdays | 8 | 44 | 5.5 | 3.714285714 | ||
Fridays | 8 | 43 | 5.375 | 6.267857143 | ||
PS#1 | 5 | 25 | 5 | 2.5 | ||
PS#2 | 5 | 32 | 6.4 | 2.8 | ||
PS#3 | 5 | 35 | 7 | 0 | ||
PS#4 | 5 | 24 | 4.8 | 1.2 | ||
PS#5 | 5 | 20 | 4 | 2.5 | ||
PS#6 | 5 | 25 | 5 | 10 | ||
PS#7 | 5 | 40 | 8 | 10 | ||
PS#8 | 5 | 40 | 8 | 0 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
days | 15.6 | 4 | 3.9 | 1.087649402 | 0.381652762 | 2.7140758 |
PS | 82.975 | 7 | 11.85357143 | 3.305776892 | 0.010850475 | 2.35925985 |
Error | 100.4 | 28 | 3.585714286 | |||
Total | 198.975 | 39 |
claims
not all means at each day are same
not all mean at each PS are same
p-value of days = 0.3817 > 0.10 (alpha)
hence we fail to reject the null hypothesis
p-value of PS= 0.010850475 < 0.10
hence we reject the null hypothesis
we conclude that not all mean at each PS are same
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