Classroom with Window (X) Classroom with Window (Y) Classroom without Window (X) Classroom without Window (Y)...

Classroom with Window (X)	Classroom with Window (Y)	Classroom without Window (X)	Classroom without Window (Y)
80	105	80	95
75	100	85	100
85	105	90	105
70	100	85	100
90	110	95	105

Malani wants to determine whether children whose preschool classroom has a window differ in their receptive vocabulary as compared to children whose classroom does not have a window. At the beginning of the school year, Malani randomly assigns 10 children at Rainbow Preschool to one of two different classrooms: one classroom which has a window that looks out onto a grassy area or another classroom that has no windows. At the end of the schoolyear, Malani measures children on their receptive vocabulary. In the following are two independent random samples (classroom with and without window) of paired values on the covariate (X; receptive vocab measured at the beginning of the school year) and the dependent essay score (Y; receptive vocab measured at the end of the school year). Conduct an ANOVA on Y, an ANCOVA on Y using X as a covariate, and compare the results if alpha= .05 . Determine the unadjusted and adjusted means.

Solutions

Expert Solution

ANOVA on Y:

Since p value(0.29 > 0.05) we do not reject H₀.There is no difference between window and receptive vocabulary.

ANCOVA on Y using X as a covariate :

Since p value(0.81 > 0.05) we do not reject H₀.There is no difference between with window/ without window and receptive vocabulary.

orchestra answered 2 years ago

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