Question

An experiment is conducted to determine whether there is a differnce 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. A B C D E Plant 1 16 27 25 10 10 Plant 2 17 25 23 19 11 Plant 3 10 19 23 16 6 Plant 4 8 29 22 13 9 Mean 12.75 25 23.25 14.5 9 Standard Dev. 4.4253 4.3205 1.2583 3.8730 2.1602 It is also given that the overall mean = 16.9. Compute the following: (a) SSTR= (b) SSE = (c) MSTR = (d) MSE = (e) F =

Answer 1

Applying one way ANOVA on above data:

Source of Variation	SS	df	MS	F
Between Groups	765.3	4	191.325	16.078
Within Groups	178.5	15	11.9
Total	943.8	19

a)SSTR =765.3

b)SSE =178.5

c) MSTR = 191.325

d)

MSE =11.9

e) F = 16.078