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 …
What is implied by standard deviation being much larger than the …
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 …
Difference in Means vs. Mean Difference - Cross Validated
Apr 29, 2015 · the distribution of the mean difference should be tighter then the distribution of the difference of means. See this with an easy example: mean in sample 1: 1 10 100 1000 mean …
Why is Standard Deviation preferred over Absolute Deviations …
Jan 7, 2025 · 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) …
mean - "Averaging" variances - Cross Validated
May 6, 2017 · I need to obtain some sort of "average" among a list of variances, but have trouble coming up with a reasonable solution. There is an interesting discussion about the differences …
mean - How do I calculate confidence intervals for a non-normal ...
You can just use a standard confidence interval for the mean: Bear in mind that when we calculate confidence intervals for the mean, we can appeal to the central limit theorem and use …
What is the significance of 1 SD? - Cross Validated
Nov 2, 2024 · 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 …
Will the mean of a set of means always be the same as the mean …
Jan 13, 2015 · 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 …
Should I use 'median' instead of 'mean' for nonparametric …
Jun 6, 2020 · The mean has a proper interpretation outside normal distributions, and it can have problems, such as its vulnerability to outliers (which in some applications is more of a problem …
Finding the Mean and Variance from PDF - Cross Validated
Jan 15, 2015 · If $\theta=4$ how to you find the mean and variance? My guess was to plug in $4$ of course and then integrate that function from $0$ to infinity. As for the variance I honestly …