To create the following problem the other problem with all samples n =5; the same sample...

To create the following problem the other problem with all samples n =5; the same sample means and variances that appeared in the problem were used but the sample size was doubled to n = 10.

Treatment
I	II	III
n = 10	n = 10	n = 10	N = 30
M =1	M = 5	M = 6
T = 10	T= 50	T = 60	G =120
s² = 9.00	s² = 10.00	s² = 11.00	Σx² = 890
SS = 81	SS = 90	SS = 99

a. Predict how the increase in sample size should affect the F-ratio for these data compared to the values obtained in the other problem (F= 3.50). Use an ANOVA with a = 0.05 to check your prediction. Note: Because the samples are all the same size MS_within is the average of the three sample variances.

b. Predict how the increase in sample size should affect the value of η² for these data compared to the η² in the other problem ( η² = 0.368)

Expert Solution

milcah answered 9 months ago

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