Is there a difference among the 3 treatments in the table below? Test using α =...
Is there a difference among the 3 treatments in the table below? Test using α = .05 Complete the ANOVA table that follows as an aid (Recommend doing so on a separate sheet of paper, or separate document), then answer the questions that follow.
| Treatment A | Treatment B | Treatment C | |
| 0 | 2 | 4 | ∑X2 = 114 |
| 0 | 3 | 2 | G = 36 |
| 0 | 1 | 4 | N = 18 |
| 3 | 3 | 3 | k = 3 |
| 0 | 2 | 4 | |
| 0 | 1 | 4 | |
| SS1 = 7.5 | SS2 = 4 | SS3 = 3.5 |
Source Sums of Squares df Mean Square F
Between SSbn dfbn MSbn F
Within SSwn dfwn MSwn
Total SStot
SStot =______ SSwn = ______ SSbn = ______
SStot =114; SSwn = 15; SSbn = 99
SStot =42; SSwn = 12; SSbn = 30
SStot =42; SSwn = 15; SSbn = 27
SStot =114; SSwn = 24; SSbn = 90
[example continued...]
Is there a difference among the 3 treatments in the table below? Test using α = .05
dfwn = ______ dfbn = ______
dfwn = 17; dfbn = 2
dfwn = 2; dfbn = 17
dfwn = 15; dfbn = 2
dfwn = 2; dfbn = 15
MSbn = ______ MSwn = ______
MSbn = 13.5; MSwn = 1
MSbn = 1.5; MSwn = 16
MSbn = 1; MSwn = 13.5
MSbn = 16; MSwn = 1.5
F = ______ (test statistic, F Ratio)
F = 1.00
F = 10.67
F = .094
F = 13.50
What is the value of the critical F boundary? (from the tables)
4.26
19.38
19.43
3.68
What is the correct result based on the data?
Reject Ho, result is Significant
Retain Ho, result is Significant
Retain Ho, result is NOT Significant
Reject Ho, result is NOT Significant
What type of error could you be making?
Type II
Type I
Does the type of treatment make a difference?
Yes
No
The correct APA format for the result would include
p < .05
p > .05
Homework Answers
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