Question

1. What are the statistics and the p-value of the omnibus test (i.e. testing the null hypothesis)??

2.Explain which cottages show statistically significantly higher and lower “Number of trauma experienced.”

SPSS Dataset	SPSS Data for HW (500 cases).sav (available in Canvas)
Variable Names in the dataset	cottage: Cottage assignment (Cottage A, B, & C)
	trauma: Number of traumas experienced

Descriptives
Number of traumas experienced
	N	Mean	Std. Deviation	Std. Error	95% Confidence Interval for Mean		Minimum	Maximum
					Lower Bound	Upper Bound
Cottage A	170	1.88	.902	.069	1.75	2.02	1	4
Cottage B	170	1.59	.494	.038	1.51	1.66	1	2
Cottage C	160	4.75	2.736	.216	4.32	5.18	2	10
Total	500	2.70	2.177	.097	2.51	2.89	1	10

Test of Homogeneity of Variances
Number of traumas experienced
Levene Statistic	df1	df2	Sig.
318.765	2	497	.000

Robust Tests of Equality of Means
Number of traumas experienced
	Statistica	df1	df2	Sig.
Welch	106.654	2	268.787	.000
a. Asymptotically F distributed.

Multiple Comparisons
Dependent Variable:   Number of traumas experienced
	(I) Cottage	(J) Cottage	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
						Lower Bound	Upper Bound
Bonferroni	Cottage A	Cottage B	.294	.180	.309	-.14	.73
		Cottage C	-2.868*	.183	.000	-3.31	-2.43
	Cottage B	Cottage A	-.294	.180	.309	-.73	.14
		Cottage C	-3.162*	.183	.000	-3.60	-2.72
	Cottage C	Cottage A	2.868*	.183	.000	2.43	3.31
		Cottage B	3.162*	.183	.000	2.72	3.60
Games-Howell	Cottage A	Cottage B	.294*	.079	.001	.11	.48
		Cottage C	-2.868*	.227	.000	-3.40	-2.33
	Cottage B	Cottage A	-.294*	.079	.001	-.48	-.11
		Cottage C	-3.162*	.220	.000	-3.68	-2.64
	Cottage C	Cottage A	2.868*	.227	.000	2.33	3.40
		Cottage B	3.162*	.220	.000	2.64	3.68
*. The mean difference is significant at the 0.05 level.

Answer 1

1. What are the statistics and the p-value of the omnibus test (i.e. testing the null hypothesis)??

Note: since Levene Statistic( equality of variance test) is significant , Welch test is used to compare the means.

Robust Tests of Equality of Means
Number of traumas experienced
	Statistica	df1	df2	Sig.
Welch	106.654	2	268.787	.000
a. Asymptotically F distributed.

Test statistic F= 106.654, P=0.000

Since the p value =0.000 is < 0.05 level, Ho is rejected and conclude that the three means are not equal.

2.Explain which cottages show statistically significantly higher and lower “Number of trauma experienced.”

Cottage C have higher Number of trauma experienced ( mean = 4.75) and Cottage Bhave lower Number of trauma experienced ( mean = 1.59).