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Brandon Harris

Cloud + Data Engineering + Analytics

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Since I’m ending up typing a lot of these in LaTeX lately, I’d figured I post them out there for reference. There’s a great LaTeX formula builder that I’ve been using here, definitely check it out if you need to do this kind of thing often.

Standard error of the difference between means

$ sigma_{M_{1}-M_{2}} = sqrt{frac{sigma_{1}^{2}}{n_{1}}+frac{sigma_{2}^{2}}{n_{2}}}=sqrt{frac{sigma^2}{n}+frac{sigma^2}{n}}=sqrt{frac{2sigma^2}{n}} $

Standard Error

$ sigma_{M} = frac{sigma}{sqrt(N)} $

Binomial Probabilities

$ P(x)= frac{N!}{x!(N-x)!} pi^{x}(1-pi)^{N-x} $

Standard Error of the Estimate

$ sigma_{est} = sqrtfrac{sum (Y-Y')^2}{N} $

Pearson’s R

$ r = frac{Nsum{XY}-(sum{X}sum{Y})}{sqrt{ [N sum{x^2}-(sum{x})^2 ][N sum{y^2}-(sum{y})^2 }]} $