Question

the problem asks to complete an ANOVA table and report the relevant SS, df, MS, and F values, and find the critical value for the F-values. I found my F values: they were 3 and 16. I do not understand how to find the critical value.

Answer 1

http://www.itl.nist.gov/div898/handbook/eda/section3/eda3673.htm

The critical value is found in a table, it is a measure of the probability density function.

Answer 2

I'm not quite sure what you are asking, but I will give you an example and hope it helps.

Suppose we have the following table with the values included:

Source.....SS.....df.....MS.....F
Between....8.13....2.....4.065..5.57
Within.....8.8.....12....0.73
Totals.....16.93...14

To get some of these values, we can do a few things:

SS total = SS between + SS within = 16.93 (from the table).

To calculate df between:
k - 1 = 3 - 1 = 2
Note: k = number of levels.

To calculate df within:
N - k = 15 - 3 = 12
Note: N = total number of values in all levels.

df total = df between + df within = 14 (from the table).

To calculate MS between:
SS between/df between = (8.13)/2 = 4.065

To calculate MS within:
SS within/df within = (8.8)/12 = 0.73

To calculate F-ratio:
MS between/MS within = (4.065)/(0.73) = 5.57

I hope this will help.

Answer 3

thank you