anova
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anova [2018/10/19 08:06] – [Post hoc test] hkimscil | anova [2020/05/20 15:13] – [Example] hkimscil | ||
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Line 530: | Line 530: | ||
| | 41 | 21 | 15 | | | | 41 | 21 | 15 | | ||
| T | 180 | 240 | 270 | | | T | 180 | 240 | 270 | | ||
- | | n | 10 | 10 | 10 | | + | | n | 10 | 10 | 10 | |
- | | Mean | $\overline{X_1}$ = 18 | $\overline{X_2}$ = 24 | $\overline{X_3}$ = 27 | | + | | Mean | 18 | 24 | 27 | |
- | | Total | + | | Mean%%^%%2 |
- | | $\sum{(X_i)^2}$ | + | | b = $n*(mean)^2$ | 3240 | 5760 | 7290 | |
+ | | a = $\sum{(X_i)^2}$ | ||
+ | | a-b = Var.within | ||
+ | \begin{eqnarray*} | ||
+ | a & = & \sum (X_i)^2 = 17370 \\ | ||
+ | b & = & \overline{X_{total}} = 23 \\ | ||
+ | c & = & \overline{X}^2 = 529 \\ | ||
+ | d & = & N = 30 \\ | ||
+ | e & = & SS_{total} = \sum {(X_i)^2} = a - (d * c) = 1500 \\ | ||
+ | f & = & SS_{within} = 648 + 108+ 324 = 1080 \\ | ||
+ | g & = & SS_{between} = e - f = 420 | ||
+ | \end{eqnarray*} | ||
+ | \begin{eqnarray*} | ||
+ | k = 3 \\ | ||
+ | n = 10 \\ | ||
+ | N = 30 \\ | ||
+ | \end{eqnarray*} | ||
- | $\sum (X_i)^2 = 17370 $ \\ | + | \begin{eqnarray*} |
- | $\overline{X_{total}} = 23 $ \\ | + | df_{between} = \\ |
- | $\overline{X}^2 = 529 $ \\ | + | df_{within} = \\ |
- | + | df_{total} = \\ | |
- | $ G = ? $ \\ | + | \end{eqnarray*} |
- | $ G^2 = ? $ \\ | + | |
- | $ \sum {(X_i)^2} = 17370 $ \\ | + | |
- | \\ | + | |
- | $ k = | + | |
- | $ n = $ \\ | + | |
- | $ N = $ \\ | + | |
- | \\ | + | |
- | $ df_{total} = $ \\ | + | |
- | $ df_{between} = $ \\ | + | |
- | $ df_{within} = $ \\ | + | |
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anova.txt · Last modified: 2022/09/30 09:02 by hkimscil