Question

An experimental psychology professor conducts an experiment to evaluate the effects of Variable A: Math Ability and Variable B: Teaching Method on student performance in research methods. Volunteers for the experiment are divided according to math ability into weak, average, and strong math ability groups. Half of the students in each math ability group are randomly assigned to one of two teaching methods: Method 1 (traditional format) or Method 2 (augmented format, which includes additional problem-solving sessions each week). At the end of the course, all of the students take the same final exam.

a.) complete the ANOVA summary table below:

Source. SS. df. MS. F

______________________________________________

between. 2,421.37. ______. _______. _______

variable A. 1,444.87. ______. ________. _______

variable B. ________. 1. ________. _______

_____?____. 256.20. 2. ________. _______

within groups 237.60. ______. ________. _______

total. ________. 29. ________. _______

b.) set up the null and alternative hypotheses and state your decisions about each null hypothesis using an alpha level of .05

Answer 1

Result:

An experimental psychology professor conducts an experiment to evaluate the effects of Variable A: Math Ability and Variable B: Teaching Method on student performance in research methods. Volunteers for the experiment are divided according to math ability into weak, average, and strong math ability groups. Half of the students in each math ability group are randomly assigned to one of two teaching methods: Method 1 (traditional format) or Method 2 (augmented format, which includes additional problem-solving sessions each week). At the end of the course, all of the students take the same final exam.

Source	SS	DF	MS	F
A	1444.87	2	722.44	72.97
B	720.30	1	720.30	72.76
AB( interaction)	256.20	2	128.10	12.94
Error( within)	237.60	24	9.90
Total	2658.97	29

b).

To test the effect of variable A: Math Ability

Ho: µ1= µ2= µ3

H1: At least one of the mean is different from the others

Calculated F=72.97 which is > 0.05 level critical F value 3.40. Ho is rejected.

We conclude that there is significant effect of math ability on student performance.

To test the effect of variable B: Teaching Method

Ho: µ1= µ2

 H1: µ1≠ µ2

Calculated F=72.76 which is > 0.05 level critical F value 4.26. Ho is rejected.

We conclude that there is significant effect of Teaching Method on student performance.

To test the effect of interaction between Math Ability and Teaching Method

Ho: There is no interaction between Math Ability and Teaching Method

H1: There is an interaction between Math Ability and Teaching Method

Calculated F=12.94 which is > 0.05 level critical F value 3.40. Ho is rejected.

We conclude that there is significant interaction effect between Math Ability and Teaching Method.