To create the following data we started with the same sample means and variances that appeared in problem 10 but increased the sample size to n = 25.
M= 2  M=3  M=4 
n=25  n=25  n=25 
T=50  T=75  T=100 
S^{2}= 2.67  S^{2}=2.00  s^{2}=1.33 
a. Predict how the increase in sample size should affect the Fratio for these data compared to the fratio in problem 10. Use an ANOVA 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
a.
Topredict: The effect on size of the Fratio after increase in sample size.
To determine: There are any significant mean differences between treatments.
Given info:
The data represents the summary statistics.
Treatment  
I  II  III 















Also,
Level of significance is
Calculation:
On increasing the sample size, the sum of squares between treatments increases, hence numerator of the Fratio increases. Therefore, size of Fratio increases and chances to reject the null hypothesis increases.
Let k represents the numbers of treatments. Then,
Then, degrees of freedom corresponding to
Then, degrees of freedom corresponding to
b.
To predict: The effect of increase in sample size on the effect size
To determine: The effect size
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