# Dixon test

![Dixon](baseUrl/statsDescriptives/Dixon.png)


To use the Dixon test the ratio is calculated:
![equation](a/b=8.6/14.1=62%)

- b = total range of measurements (here 14.1)

- a= the distance between the part suspected of having an abnormal value and its nearest neighbour (here 8.6)

The ratio is calculated in %:

We then compare this ratio with the Dixon table:
  
||||||||
|-----------------------|--------|---------|--------|---------|------------|--------|
|Number of parts   |	3        |	5         |	10      |	16        |	20       |	30       |
|Maximum ratio|	0.94 |	0.72  |	0.46  |	0.38    |	0.34   |	0.30   |
 

If the value is less than the maximum proposed ratio in the table then the value is not abnormal.  Here a ratio of 62% per 5 parts is less than 72%. The point is thus not an abnormal value. 

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Dixon test

A complete solution for Industry 4.0


Number of parts	3	5	10	16	20	30
Maximum ratio	0.94	0.72	0.46	0.38	0.34	0.30