====== 대응표본 t검정 (Paired Sample t Test) ======
===== 정의 =====
 $$D = X - Y$$

  * [[귀무가설]]
    * $$H_{0} : \mu_{D} = 0 \ (\mu_{1} = \mu_{2}) $$

  * [[검정통계량]]
    * $$T_{0} = \frac{\overline{D}}{S_{D}/\sqrt{n}}$$

  * [[대립가설]]과 [[기각역]]
    * $$ H_{1} : \mu_{D} > 0 \ (\mu_{1} > \mu_{2}) \ \rightarrow \ t_{0} > t_{\alpha} (n-1) $$
    * $$ H_{1} : \mu_{D} < 0 \ (\mu_{1} < \mu_{2}) \ \rightarrow \ t_{0} < - t_{\alpha} (n-1) $$
    * $$ H_{1} : \mu_{D} \neq 0 \ (\mu_{1} \neq \mu_{2}) \ \rightarrow \ | \ t_{0} \ | > t_{\alpha/2} (n-1) $$

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  * [[검정]]