An experiment is conducted to determine whether there is a difference among the

Question

An experiment is conducted to determine whether there is a difference among the mean increases in growth produced by five strains (A, B, C, D and E) of growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all of equal weight, with four cuttings randomly assigned to each of the five different strains. The increases in weight for each cutting along with the sample mean and sample standard deviation of each group are given in the table below. It is also given that the overall mean = 17.1. Compute the following: (a) SSTR = (b) SSE = (c) MSTR = (d) MSE =

Explanation / Answer

The Anova Output is as follows

From the Anova Table,

a) SSTR =529.3

b) SSE= 188.5

c) MSTR = 132.325

d) MSE = 12.567

f) F-statistic = 10.530

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 4 67 16.75 10.25 B 4 90 22.5 19.66667 C 4 89 22.25 2.916667 D 4 62 15.5 11 E 4 34 8.5 19 ANOVA Source of Variation SS df MS F P-value F crit Treatments 529.3 4 132.325 10.530 0.0003 3.056 Error 188.5 15 12.567 Total 717.8 19

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