Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

ν = [ σ 1 2 n 1 + σ 2 2 n 2 ] 2 [ σ 1 2 n 1 ] 2 n 1 1 + [ σ 2 2 n 2 ] 2 n 2 1 = [ σ 1 2 w 1 + σ 2 2 w 2 ] 2 [ σ 1 2 w 1 ] 2 N w 1 1 + [ σ 2 2 w 2 ] 2 N w 2 1

Math Rendered as SVG

Math as LaTeX Source

\[ \nu = \frac{\left[\frac{\sigma _1^2}{n_1} + \frac{\sigma _2^2}{n_2}\right]^2}{\frac{\left[\frac{\sigma _1^2}{n_1}\right]^2}{n_1-1} + \frac{\left[\frac{\sigma _2^2}{n_2}\right]^2}{n_2-1}} = \frac{\left[\frac{\sigma _1^2}{w_1} + \frac{\sigma _2^2}{w_2}\right]^2}{\frac{\left[\frac{\sigma _1^2}{w_1}\right]^2}{N w_1-1} + \frac{\left[\frac{\sigma _2^2}{w_2}\right]^2}{N w_2-1}} \]