How would I use the Newman Keuls procedure for the given data? A certain fractio

Question

How would I use the Newman Keuls procedure for the given data? A certain fraction of antibiotics injected into the bloodstream This is a phenomenon are "bound" serum proteins. extent of considerable pharmacological importance, because as the binding increases, systemic take of the drug decreases. in turn, bears directly on the effectiveness the medication This, will ultimately have In recent study, determinations were made of the binding percentages characteristic of five widely used antibiotics. Bovine (Moo Moo) serum was used in each instance, but the results are comparable to what could be expected in human serum. Penicillin Tetracyclin Streptomyci Erythromyci Chloramph 25.6 5.8 21.6 312.6 6.2 17.4 132.8 32 34.8 8.3 19 24.2 y 114.40 125.50 146.2 3302.9 3967.7 261.97 3139.1 Your job is to a) complete the Anova table, Calculate the F and test the global hypothesis and b) use Newman Keuls method to test the pairwise comparisons. (Use alpha 05 Between 135.82 .06 Within Total 1616.65 5. Reject Ho p val p (Ru 7. nt Do, we enough widence to Claim thou at 0.05, 4,15 3.0v leart one antibiotic Don't forget the Newman Keuls Procedure...

Explanation / Answer

Newman Keuls procedure is similar to Tuckey's HSD test.

we need to compute "q" i.e. the Studentized range

q=(xa-xb)/sqrt(MSE/n)

using this formula we compute q for all the pairs as follows:

thus, 4.37 is honest significant difference and if any of the q in the table is greater than 4.37 we will say that there exists a significant difference between treatment levels that are:

S-P

S-T

E-P

E-P

E-T

E-S

C-S

C-E

we used initials of the treatmnet levels.

Excel formula:

P T S E C P 0 T 1.844882 S 13.81169 15.65657 E 6.332434 8.177317 7.479253 C 0.531858 2.37674 13.27983 5.800576 0 q CRITICAL (from q-table with k =5 & error df=15 4.37

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