Posted by **Hannah** on Thursday, July 21, 2011 at 5:49pm.

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.

- Statistics(Please help) -
**bobpursley**, Thursday, July 21, 2011 at 6:11pm
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.

- Statistics(Please help) -
**MathGuru**, Thursday, July 21, 2011 at 6:13pm
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.

- Statistics(Please help) -
**Hannah**, Thursday, July 21, 2011 at 7:08pm
thank you

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