# Tag Info

### How is that possible that simple arithmetic mean works well even for strongly skewed distribution?

What is your definition about "good"? I assume you want to say the bias of sample mean is zero, it is consistent, if so, in 1947, Hsu and Robbins proved that the arithmetic mean converges ...

• 7,932
1 vote

### What is the intuition behind the single-pass algorithm (Welford's method) for the corrected sum of squares?

Ok, so when you update $S_{n-1}$ to $S_n$ there are two things that need fixing you need a term $(x_n-m_n)^2$ for the error in the $n$ observation you need to fix up $S_{n-1}$ because it was centered ...
• 37.2k
1 vote

### What do I do when I *want* to accept the usual null hypothesis?

Here you can employ theology instead of statistics If you want to accept a particular hypothesis, just accept it --- avoid wasting time by employing statistical analysis and pretending that you are ...
• 123k

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