Exercise

Graeco-Latin Square with NYC SAT Scores

Recall that our Latin Square exercise in this chapter tested the effect of our tutoring program, blocked by Borough and Teacher_Education_Level.

For our Graeco-Latin Square, say we also want to block out the known effect of Homework_Type, which indicates what kind of homework the student was given: individual only, small or large group homework, or some combination. We can add this as another blocking factor to create a Graeco-Latin Square experiment.

Instructions 1/2

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Use lm() to test the changes in Average_Score_SAT_Math using the nyc_scores_gls data.
Tidy nyc_scores_gls_lm with the appropriate broom function.
Examine nyc_scores_gls_lm with anova().