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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
- Mean absolute deviation vs. standard deviation - Cross Validated
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" respectively The mean deviation is rarely used
- 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?
- 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
- 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)
- What is the difference between mean value and average?
The mean you described (the arithmetic mean) is what people typically mean when they say mean and, yes, that is the same as average The only ambiguity that can occur is when someone is using a different type of mean, such as the geometric mean or the harmonic mean, but I think it is implicit from your question that you were talking about the arithmetic mean
- How to calculate `mean` and `sd` of lognormal distribution based on . . .
Lognormal distribution as below: estimate meanlog 6 0515 sdlog 0 3703 How to calculate the mean and sd of this distribution?
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