Which mean to use and when? - Cross Validated So we have arithmetic mean (AM), geometric mean (GM) and harmonic mean (HM) Their mathematical formulation is also well known along with their associated stereotypical examples (e g , Harmonic mea
Difference of the means vs mean of differences One takes the pairwise difference of each point of data [ the mean of the differences ] and the other takes mean A and subtracts it from mean B [ the difference of the means ] While the differences can be calculated to come out the same, the confidence intervals for each are different I am confused as to which formula to use for which situation
What is the significance of 1 SD? - Cross Validated What do you mean by "the derivative at 1 SD is +- 1"? Derivative of what? If you mean of a density plot, then what distribution? The normal? Different distributions will have different derivatives at 1 SD from the mean
What is the difference between mean value and average? The mean you described (the arithmetic mean) is what people typically mean when they say mean and, yes, that is the same as average The only ambiguity that can occur is when someone is using a different type of mean, such as the geometric mean or the harmonic mean, but I think it is implicit from your question that you were talking about the arithmetic mean