Question

Experimental Design and Analysis IV: Complex Experimental Designs 343 What conclusions can be drawn from the F-ratios? a. c. If your instructor wants you to calculate the sums of squares, use the preceding data to do so.) d. What is the effect size, and what does this mean? b. Are the values of Fobt significant at ? = .05? e. Graph the means. At ? = .01 ?

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Do not need to calculate sums of means OR e. (graph the means)

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Answer #1
Anova: Two-Factor With Replication
SUMMARY women men Total
2 hours
Count 5 5 10
Sum 59 59 118
Average 11.8 11.8 11.8
Variance 0.7 0.7 0.622222222
4 hours
Count 5 5 10
Sum 45 45 90
Average 9 9 9
Variance 2 1 1.333333333
6 hours
Count 5 5 10
Sum 32 33 65
Average 6.4 6.6 6.5
Variance 0.8 1.8 1.166666667
Total
Count 15 15
Sum 136 137
Average 9.066666667 9.133333333
Variance 6.20952381 5.838095238
ANOVA
Source of Variation SS df MS F P-value F crit
practice 140.6 2 70.3 60.25714286 4.40155E-10 3.402826105
gender 0.033333333 1 0.033333333 0.028571429 0.867188941 4.259677273
gender * practice 0.066666667 2 0.033333333 0.028571429 0.971865879 3.402826105
error 28 24 1.166666667
Total 168.7 29

Only practice is significant at both alpha values

rest are not significant at both alpha.

there is significant difference in different type of practice

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