EXERCISE: The mathematics department of a large university wishes to evaluate th

Question

EXERCISE: The mathematics department of a large university wishes to evaluate the teaching capabilities of four professors. In order to eliminate any effects due to different mathematics courses and different times of the day, it was decided to conduct an experiment using a Latin square design in which the letter A, B, C, and D represent the four different professors. Each professor taught one section of each of four different courses scheduled at each of four different times during the day. The data presented below show the grades assigned by these professors to 16 students of

Explanation / Answer

following information has been generated using ms-excel

since p-value=0.0446 of the Professor is less than alpha=0.05, so we reject the null hypothesis that professor has no effect on grades.

Source DF Sum of Squares Mean Square F Value P-VALUE Model 9 1450.5 161.167 3.36 0.0768 Error 6 287.5 47.9167 Corrected Total 15 1738 Source DF Anova SS Mean Square F Value P-VALUE Tiime 3 474.5 158.167 3.3 0.0994 Subject 3 252.5 84.1667 1.76 0.255 Professor 3 723.5 241.167 5.03 0.0446

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