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 …
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) and …
mean - "Averaging" variances - Cross Validated
May 6, 2017 · Context is everything here. Are these theoretical variances (moments of distributions), or sample variances? If they are sample variances, what is the relation between …
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 …
regression - When is R squared negative? - Cross Validated
@whuber Correct. @harvey-motulsky A negative R^2 value is a mathematical impossibility (and suggests a computer bug) for regular OLS regression (with an intercept). This is what the …
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 different …
How to calculate `mean` and `sd` of lognormal distribution based …
May 29, 2020 · Lognormal distribution as below: estimate meanlog 6.0515 sdlog 0.3703 How to calculate the mean and sd of this distribution?
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 …