# Tag Info

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 ...
• 37.1k
Accepted

### Covariance of Best Linear Unbiased Estimators and arbitrary LUE

Consider the variance of $T_a=aT'+(1-a)T$, which (for any $a$) is another linear unbiased estimator $$\mathrm{var}[T_a]=a^2\mathrm{var}[T']+(1-a)^2\mathrm{var}[T]+2a(1-a)\mathrm{cov}[T,T']$$ or ...
• 37.1k

• 7,932

• 58.5k

### Trimmed mean vs median

In statistics, there are three major errors: bias, variance, and contaminations. Sample mean is a consistent estimator, however, its variance and robustness is not desired in many scenarios, so ...
• 1
Accepted

### Subtracting the ideal-rank-mean in Wilcoxon rank-sum, what does it do

I had a further discussion on Datamethods. The resource I found most useful are Violation of proportional odds and MWU and Proportional odds. My current understanding is : The test reports the ...
• 21
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