Question

Conduct a repeated measures One Way ANOVA using the following data:

A researcher really loves basketball and wants to test how the level of training affects how a well a person performs shooting free throws. This researcher sets up a basketball camp over the weekend. On the first day, the 3 participants receive no training and shoot free throws. On the second day, they receive coaching from Shaquille O’Neal, who was not that good at free throws. They then shoot free throws. On the final day, they receive coaching from current Los Angeles Clipper Lou Williams, who at the time this exam was written in late 2018, was among the top five leaders in free throw percentage. After this, they shoot free throws once more. The data for each participant is as follows:

A. State the groups being tested.

B. State the Null and Research hypotheses.

C.

Determine the values necessary to calculate the F statistic and calculate the F statistic.

(If you like, you can paste this table into Word, fill it in, and paste it back into your answer. Right click when in Word, do not use CTRL + V.)

Source	SS	DF	MS	F
Between
Subjects
Within
Total

D. Determine the critical value at a 0.05 p level.

E. Make a decision about the hypothesis.

Participant	Free throws made with no coaching	Free throws made when coached by Shaq	Free throws made when coached by Lou Williams
A	2	5	7
B	1	4	9
C	3	6	12
D	1	7	11

Answer 1

A,B.

C.

Source	SS	DF	MS	F
Between	128.17	2	64.085	F=64.085/2.25 =28.482
Within	22.5	10	2.25
Total	150.67	12	-

D.

E.

Therefore from this one way ANOVA we can conclude that the no training,training level by Shaq and that by LouWilliams are observed to have effect on the performance of the participant.