Reference Standard Deviation

The Reference Std Dev is the standard deviation you expect from the standard samples. For a good estimate of the standard deviation you should use at least 25 groups of observations. Calculate a range for each group then average them. You can convert the resulting average range to an estimate of standard deviation using the following table:

a

an

a

an

2

0.8862

10

0.3249

3

0.5908

11

0.3152

4

0.4857

12

0.3069

5

0.4299

13

0.2998

6

0.3846

14

0.2935

7

0.3698

15

0.2880

8

0.3512

16

0.2831

9

0.3367

17

0.2787

Multiply the average range of a set of samples, each of size a (taken from the table), by the corresponding value for an. For example: if you calculated an average range of 0.45 using the mean ranges of a set of samples, where each group contained four samples, the standard deviation estimate would be: s  = 0.4857 x 0.45 = 0.2186.

If you don't make an entry for Reference Std Dev, the program will calculate it in the same way as for the Reference mean. The same considerations apply.