Question

In: Statistics and Probability

Using the partially completed analysis of variance and table of means provided below, answer the following...

Using the partially completed analysis of variance and table of means provided below, answer the following questions. Use the .05 significance level. All three groups have the same sample size.

Source

SS

df

MS

F

Treatment

4.3669

Error

9.03

Total

29

Group

A

B

C

sample mean

278.3

275.4

274.5

10. Find the value of LSD for comparing Groups A and B.

11. Is the difference between groups A and B significant?

yes

no

maybe?

Antidisestablishmentarianism

12. What's the value of SSTR?

13. What's the value of SSE?

Solutions

Expert Solution

Source SS df MS F
treatment 78.8662 2 39.4331 4.3669
Error 243.8100 27 9.030
total 322.6762 29

10)

pooled standard deviation                                                                             =Sp =√MSE      = 3.005
critical value of t with 0.05 level and N-k=27 degree of freedom= tN-k= 2.052
Fisher's (LSD) for group i and j =                  (tN-k)*(sp*√(1/ni+1/nj)           = 2.758

11)

Yes

12)

value of SSTR =78.8662

13)

value of SSE =243.8100


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