대응표본 t검정 (Paired Sample t Test)

$$D = X - Y$$

• 귀무가설
  • $$H_{0} : \mu_{D} = 0 \ (\mu_{1} = \mu_{2}) $$

• 검정통계량
  • $$T_{0} = \frac{\overline{D}}{S_{D}/\sqrt{n}}$$

• 대립가설과 기각역
  • $$ H_{1} : \mu_{D} > 0 \ (\mu_{1} > \mu_{2}) \ \rightarrow \ t_{0} > t_{\alpha} (n-1) $$
  • $$ H_{1} : \mu_{D} < 0 \ (\mu_{1} < \mu_{2}) \ \rightarrow \ t_{0} < - t_{\alpha} (n-1) $$
  • $$ H_{1} : \mu_{D} \neq 0 \ (\mu_{1} \neq \mu_{2}) \ \rightarrow \ | \ t_{0} \ | > t_{\alpha/2} (n-1) $$

• 검정