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- 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
- Why is Standard Deviation preferred over Absolute Deviations from the Mean?
The mean is the number that minimizes the sum of squared deviations Absolute mean deviation achieves point (1), and absolute median deviation achieves both points (1) and (3)
- Will the mean of a set of means always be the same as the mean obtained . . .
The above calculations also demonstrate that there is no general order between the mean of the means and the overall mean In other words, the hypotheses "mean of means is always greater lesser than or equal to overall mean" are also invalid
- What is implied by standard deviation being much larger than the mean?
What does it imply for standard deviation being more than twice the mean? Our data is timing data from event durations and so strictly positive (Sometimes very small negatives show up due to clock
- mean - Averaging variances - Cross Validated
Context is everything here Are these theoretical variances (moments of distributions), or sample variances? If they are sample variances, what is the relation between the samples? Do they come from the same population? If yes, do you have available the size of each sample? If the samples do not come from the same population, how do you justify averaging over the variances?
- Unit of Mean and Standard Deviation - Cross Validated
can a unit be associated with the mean and standard deviation values or these are "dimensionless" quantities? For instance, if I am computing distance, with unit being meters (m), and I have got the
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