In: Statistics and Probability
Which statistical test to use to compare efficiency of 9 antibiotics? I compared each antibiotic to control using t test and got a significant result but which test to use to compare different antibiotics among each other?
For comparing the efficiency of 9 antibiotics, one way ANOVA is used as follows:
H0:Null Hypothesis: (There is no significant difference in the the efficiency of 9 antibiotics)
HA: Alternative Hypothesis: (at least one mean is different from other 8 means) (There is significant difference in the the efficiency of 9 antibiotics)
In case the calculated value of F is less than critical value of F, the difference is not significant and conclude that there is no significant difference in the the efficiency of 9 antibiotics.
In case the calculated value of F is greater than critical value of F, the difference is significant and conclude that there is significant difference in the the efficiency of 9 antibiotics. In that case case, in order to find out which antibiotic among the 9 antibiotics is significant, Turkey's HSD (Honest Significant Difference) Post Hoc Test is to be conducted.