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 …
"Difference of the means" vs "mean of differences"
Nov 5, 2024 · To put it very simply, you use the mean of differences, when there is a natural pairing between your 2 groups. eg you give people a new toothpaste to try out and you …
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 …
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 …
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 …
regression - When is R squared negative? - Cross Validated
This is because, without the benefit of an intercept, the regression could do worse than the sample mean in terms of tracking the dependent variable (i.e., the numerator could be greater …
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) …
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 …
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 …
mathematical statistics - Mean residual life - Cross Validated
12 If X is a nonnegative random variable representing the life of a component having distribution function F,the mean residual life is defined by