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c:ms:2026:lecture_note_week_05

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c:ms:2026:lecture_note_week_05 [2026/04/01 17:41] – [Two sample t-test] hkimscilc:ms:2026:lecture_note_week_05 [2026/04/01 17:44] (current) – [Two sample t-test] hkimscil
Line 581: Line 581:
 E \left[ \overline{X} - \overline{Y} \right] & = & E \left[ \overline{X} \right] - E \left[ \overline{Y} \right] \\ E \left[ \overline{X} - \overline{Y} \right] & = & E \left[ \overline{X} \right] - E \left[ \overline{Y} \right] \\
 V \left[ \overline{X} - \overline{Y} \right] & = & V \left[ \overline{X} \right] + V \left[ \overline{Y} \right] \\ V \left[ \overline{X} - \overline{Y} \right] & = & V \left[ \overline{X} \right] + V \left[ \overline{Y} \right] \\
-& = & \frac {\sigma_{X}} {n_{X}} + \frac {\sigma_{Y}} {n_{Y}} \\+& = & \displaystyle \dfrac {\sigma_{X}} {n_{X}} + \dfrac {\sigma_{Y}} {n_{Y}} \\
 \end{eqnarray*} \end{eqnarray*}
  
c/ms/2026/lecture_note_week_05.txt · Last modified: by hkimscil

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