Question

Complete the following ANOVA summary table for a model where there are five levels of factor B selected by the researcher and one covariate C. Each level of the design includes 25 students (α = .05).
Type I SS was used

In statistical language (symbols) what are the most appropriate null and alternative hypothesis for each factor (effect) for the model?

	SS	DF	MS	F	Critical Value	Decision
B	10
Within	40
C
Total	70

Answer 1

Complete the following ANOVA summary table for a model where there are five levels of factor B selected by the researcher and one covariate C. Each level of the design includes 25 students (α = .05).
Type I SS was used

In statistical language (symbols) what are the most appropriate null and alternative hypothesis for each factor (effect) for the model?

Source	SS	DF	MS	F	Critical Value	Decision
B	10.00	4	2.50	7.44	2.448	reject Ho
C	20.00	1	20.00	59.50	3.92	reject Ho
within	40.00	119	0.34
Total	70.00	124

To test the factor B,

H1: At least one pair of population means are different

Calculated F= 7.44 > critical F =2.448, Ho is rejected.

Factor B is significant.

To test the covariate C,

Ho: Covariate C is not significant

H1: Covariate C is significant

Calculated F= 59.5 > critical F =3.92, Ho is rejected.

Covariate is significant.