[Statistic (Summary)] T-test & $\chi^2$-test
T Test One sample t-value: \begin{equation} \frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}} \end{equation} df = n-1 Two sample t-value (assume equal population variance & std) \begin{equation} \frac{\bar{x_1}-\bar{x_2}}{\sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2}}} \end{equation} where $s_p^2$ : \begin{equation} \frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n1+n2-2} \end{equation} df = $n_1$ + $n_2$ -2 (assume unequal ..
2021.01.30