Question

Construct a data set of 15 whole numbers between 5 and 20. Separate them into three equal groups (treatment conditions) twice, once where the resulting F ratio would be significant and once where the resulting F ratio would not be significant. Try to keep the within group variance as similar as possible across all SIX groups

Answer 1

Construct a data set of 15 whole numbers between 5 and 20. Separate them into three equal groups (treatment conditions) twice, once where the resulting F ratio would be significant and once where the resulting F ratio would not be significant. Try to keep the within group variance as similar as possible across all SIX groups

F ratio significant:

DATA:

Group1	Group2	Group3
6	11	16
7	12	17
8	13	18
9	19	14
15	10	20

One factor ANOVA
	Mean	n	Std. Dev
	9.0	5	3.54	Group1
	13.0	5	3.54	Group2
	17.0	5	2.24	Group3
	13.0	15	4.47	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	160.00	2	80.000	8.00	.0062
Error	120.00	12	10.000
Total	280.00	14

F ratio not be significant

Data:

Group1	Group2	Group3
14	11	16
20	12	17
8	13	18
9	19	6
15	10	7

ANOVA:

One factor ANOVA
	Mean	n	Std. Dev
	13.2	5	4.87	Group1
	13.0	5	3.54	Group2
	12.8	5	5.81	Group3
	13.0	15	4.47	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	0.40	2	0.200	0.01	.9915
Error	279.60	12	23.300
Total	280.00	14