, then by one of the machines 
. Then, we would like to know whether all machines of type 
have the same influence on the final length, weight, etc.
In this case, we may observe for example the length, weight, etc. of a product which is manufactured in two different stages: first by one of the machines , then by one of the machines . Then, we would like to know whether all machines of type have the same influence on the final length, weight, etc.
If we assume that we have one product (with size 
) for each possible combination of machines 
and 
then we reject 
if
where
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