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How to estimate mean and standard deviation of individual result given a sample of batch results?

In a professional lab environment, you'll be better off with the stat math other folks have presented, b/c other folks in a clinical/lab environment think in terms of stats and know what stat terms ...
blahblahblacksheep's user avatar
2 votes

How to estimate mean and standard deviation of individual result given a sample of batch results?

The time until something happens usually follows some right-skewed distribution, so just mean and standard deviation might not be the most informative measures to describe the underlying probability ...
Frans Rodenburg's user avatar
4 votes

How to estimate mean and standard deviation of individual result given a sample of batch results?

Let's consider an example in R: the true time per token is $\mu=1{,}000$ and its standard deviation is $\sigma=150$ (in otherwise unspecified units). I'll generate three million in total because ...
PBulls's user avatar
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1 vote
Accepted

Meaning of subscript $n$ in sample mean variable

The reason why Wasserman bothers to include the $n$ subscript on $\bar X_n$ is (almost surely! 🥁) because he uses it in other sections. For instance, see Sections 5.3 and 5.4 where the statements of ...
civilstat's user avatar
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2 votes

Meaning of subscript $n$ in sample mean variable

As suggested by Stephan Kolassa and Henry in the comments to the question, the subscript $n$ does seem to refer to the number of samples being used to calculate the mean. In Section 3.3 "Variance ...
Ouroboroski's user avatar
18 votes

Deviation between Mean and Median

The ratio (mean $-$ median) / SD has often been used as a measure of skewness. It has the perhaps surprising feature that it is bounded by $-1$ and $1$. But I would never recommend using it by itself -...
Nick Cox's user avatar
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0 votes

Difference in Means vs. Mean Difference

d bar is for paired data that is correlated, and will have a different test statistic compared to what is used for a two sample t-test of independent sample means. in my opinion saying that mean ...
Big Red's user avatar
0 votes

Calculated spread and mean using mean results only

"However, because we are not interested in the behaviour of individual measurements, and instead we wish to analyse the distribution of the mean, it has been argued that we should dispense of the ...
jginestet's user avatar
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2 votes

Calculated spread and mean using mean results only

Sounds fine to me. Here's an illustration which should be close enough to your scenario. Say we have a set of $H$ datapoints. Each of these is a mean taken from $n$ individual observations, which are ...
Alex J's user avatar
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