A study was conducted to determine the efficacy of boron neutron capture therapy

Question

A study was conducted to determine the efficacy of boron neutron capture therapy (BNCT) in treating the therapeutically refractory F98 glioma, using boronophenylalanine (BPA) as the capture agent. F98 glioma cells were implanted in the brains of rats. Three groups of rats were studied. One group went untreated, another was treated only with ra- diation, and the third group received radiation plus ana The data given below lists the death times (in days) for the three groups: Untreated 20 21 23 2424 26 26 27 28 30 26 28 29 29 30 30 31 31 3235+ Raidated+BPA 31 32 34 35 36 38 38 39 4242+ ) Plot the survival curves for the three groups on the same graph and comment. b) Test if the three survival curves are the same c Use a suitable test to perform a pairwise comparison of the survival curves and compare with the results in b).

Explanation / Answer

answer (a) please look the graph

(b) here we use one way anova to test the

null hypothesis H0: Three survival curves are same

alternate hypothesis H1: atleast two survival curves are different

the p-value of F of between group is less tha alpha=0.05, so we reject H0 and conclude that three survival curves are not the same

(c) least square differenc=LSD=sqrt(2*MSE/r)*t(0.05,error df)=sqrt(2*9.9963/10)* 2.05=2.9

since each pair wise difference is more than LSD, so all are differenct

difference of untreated and radiated (|24.9-30.1|=5.2

difference of radiated and raidiate +BPA (|30.1-36.7|=6.6

difference of untreated and radiated+BPA (|24.9-36.7|=11.8

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 699.4667 2 349.7333 34.98629 3.19E-08 3.354131 Within Groups 269.9 27 9.996296 Total 969.3667 29

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