Week 8 Homework
Lane
10. If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are
dfn and dfe?
5 conditions (K)
6 subjects
N = 5 x 6 = 30
Degrees of freedom (dfn) = N -1 = 30 – 1 = 29.
Error degrees of freedom (dfe) = N – K = 30 - 5 = 25.
17. The following data are from a hypothetical study on the effects of age and time on scores on
a test of reading comprehension. Compute the analysis of variance summary table.
Hoa: there is no significant difference in the rows.
H1a: there is significant difference in the rows.
Hob: there is no significant difference in the columns.
H1b: there is significant difference in the columns.
The analysis of variance summary table is shown below.
Anova: Two-Factor Without Replication
SUMMARY 12 Year Olds 16 Year Olds Total
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, STAT 200 Week 8 Homework | Step by Step Complete Solution
30 minutes
Count 5 5 10
Sum 311 370 681
Average 62.2 74 68.1
98.9888888
Variance 104.2 31.5 9
60 minutes
Count 5 5 10
Sum 333 474 807
Average 66.6 94.8 80.7
235.788888
Variance 28.8 4.7 9
Total
Count 10 10
Sum 644 844
Average 64.4 84.4
64.4888888 136.266666
Variance 9 7
ANOVA
Source of Variation SS df MS F P-value F crit
Sample 793.8 1 793.8 5 8 8
47.281- 3.7264 4.493
3238 7E- 99841
Columns 2000 1 2000 8 06 8
7.94799- 0.0123 4.493-
054 4193 9841
Interaction 336.2 1 4 8 8
Within 676.8 16 42.3
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