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  1. 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...

  2. Difference in Means vs. Mean Difference - Cross Validated

    Apr 29, 2015 · When studying two independent samples means, we are told we are looking at the "difference of two means". This means we take the mean from population 1 ($\\bar y_1$) and …

  3. "Difference of the means" vs "mean of differences"

    Nov 5, 2024 · 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 …

  4. 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

  5. Why is Standard Deviation preferred over Absolute Deviations from the …

    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 (3).

  6. 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 is always …

  7. How to calculate `mean` and `sd` of lognormal distribution based on ...

    May 29, 2020 · Lognormal distribution as below: estimate meanlog 6.0515 sdlog 0.3703 How to calculate the mean and sd of this distribution?

  8. 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 the samples? Do they …

  9. Mean absolute deviation vs. standard deviation - Cross Validated

    Jan 13, 2014 · After calculating the "sum of absolute deviations" or the "square root of the sum of squared deviations", you average them to get the "mean deviation" and the "standard deviation" …

  10. 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