Statistical test for difference between means
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Aviram Shemen
on 24 Dec 2020
Commented: Aviram Shemen
on 29 Dec 2020
Hi,
I have two mean values and standard errors (se) of two unknown distributions.
I would like to check whether the difference between these two means is statistically significant.
mean1=1.2545, se1=0.0145
mean2=1.6913, se2=0.0172
Thanks,
Aviram.
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Accepted Answer
Walter Roberson
on 24 Dec 2020
mean1=1.2545; se1=0.0145;
mean2=1.6913; se2=0.0172;
rho = 0.01;
s = 2*normcdf(-abs(mean1-mean2), 0, min(se1,se2))
s < rho
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Walter Roberson
on 27 Dec 2020
mean1=1.2545; se1=0.0145;
mean2=1.6913; se2=0.0172;
rho = 0.01;
minse = min(se1,se2);
s = 2*normcdf(-abs(mean1-mean2)/minse, 0, 1)
A small modification to the above that perhaps might make it marginally clearer based upon common statistics: we effectively normalize back to mean 0 and standard deviation 1, and then it is just a cdf calculation
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