In: Statistics and Probability
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?
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