## Indicators for Mandel’s h and k statistics at 1% significance level

k

p

h

n

2

3

4

5

6

7

8

9

10

3 1,15 1,71 1,64 1,58 1,53 1,49 1,46 1,43 1,41 1,39
4 1,49 1,91 1,77 1,67 1,60 1,55 1,51 1,48 1,45 1,43
5 1,72 2,05 1,85 1,73 1,65 1,59 1,55 1,51 1,48 1,46
6 1,87 2,14 1,90 1,77 1,68 1,62 1,57 1,53 1,50 1,47
7 1,98 2,20 1,94 1,79 1,70 1,63 1,58 1,54 1,51 1,48
8 2,06 2,25 1,97 1,81 1,71 1,65 1,59 1,55 1,52 1,49
9 2,13 2,29 1,99 1,82 1,73 1,66 1,60 1,56 1,53 1,50
10 2,18 2,32 2,00 1,84 1,74 1,66 1,61 1,57 1,53 1,50
11 2,22 2,34 2,01 1,85 1,74 1,67 1,62 1,57 1,54 1,51
12 2,25 2,36 2,02 1,85 1,75 1,68 1,62 1,58 1,54 1,51
13 2,27 2,38 2,03 1,86 1,76 1,68 1,63 1,58 1,55 1,52
14 2,30 2,39 2,04 1,87 1,76 1,69 1,63 1,58 1,55 1,52
>15 2,32 2,41 2,05 1,87 1,76 1,69 1,63 1,59 1,55 1,52
p = number of laboratories at a certain leveln = number of repeated measurements in each lab at this level.
[ISO 5725-2:1994 table 6]

### 2 Responses

1. Do you know what the pdf of the Mandel h statistic is?

• If you look at the expressions for the different statistics used in significance testing – see link on this page:

Other statistical inspection methods of measured values

– you can see some likenesses between them. Thus the Mandel h statistic is quite similar to the well-known t-statistic. One might thus also expect some similarity between their pdfs. Wikipedia has a clear description of the pdf of the t-statistic .