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Homemade metric - has anyone heard of it?

 
 
Reply Wed 27 May, 2020 12:45 pm
I have two groups with five numbers in each group. I want to compare how equal the groups are to each other. I have figured out the metric that I would like to use:

(mean_A - mean_B)^2 / (mean_all * mean_sd),

where mean_A is the mean of the values in group A, mean_B is the mean of the values in group B, mean_all is the mean of all ten values and mean_sd is the mean of the standard deviation in group A and the standard deviation in group B.

What I wonder is if this metric has a name. Have anyone else in history used it before me?
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fka-SealPoet
 
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Reply Wed 27 May, 2020 07:31 pm
@mariathatsme,
If either group has identical members, the standard deviation of that group is zero, leading to a divide by zero error.
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