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test_of_homogeneity_of_variances

data file: hs1.sav
DV: write writing score
IV: type of school (academic/general/vocational)

Descriptives								
writing score 
		N	Mean	Std. 	Std. 	95%  		Minimum	Maximum
				Dev.	Error 	Confidence
						Interval 
						for Mean
						Lower 	Upper 		
academic	105	56.2571	7.94334	.77519	54.7199	57.7944	33.00	67.00
general		45	51.3333	9.39778	1.40094	48.5099	54.1567	31.00	67.00
vocati		50	46.7600	9.31875	1.31787	44.1116	49.4084	31.00	67.00
Total		200	52.7750	9.47859	.67024	51.4533	54.0967	31.00	67.00

이 때 homogeneity of variance test는


H1: $\sigma^2_{\text{academic}} \neq \sigma^2_{\text{general}} \neq \sigma^2_{\text{vocati}}$

H0: $\sigma^2_{\text{academic}} = \sigma^2_{\text{general}} = \sigma^2_{\text{vocati}}$

Test of Homogeneity of Variances			
writing score 
Levene Statistic	df1	df2	Sig.
1.726			2	197	.181

Sig. (p value)가 .05보다 작지 않으므로 영가설 부정에 실패. 즉, 세 그룹 간 variance에 차이가 없다고 이야기 할 수 있다.

프로그램 별로 라이팅능력에 차이가 있는 것으로 나타났다 (F(2,197) = 21.275, p < 0.001).

test_of_homogeneity_of_variances.txt · Last modified: 2016/06/08 17:19 by hkimscil