anova
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anova [2018/10/19 08:04] – [Post hoc test] hkimscil | anova [2020/05/20 15:36] – [Example] hkimscil | ||
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Falken-CEAT | Falken-CEAT | ||
> | > | ||
+ | > tapply(adata$Mileage, | ||
+ | | ||
+ | | ||
+ | > | ||
</ | </ | ||
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====== Example ====== | ====== Example ====== | ||
+ | 가설. 단어맞히기 게임에서 첫글자를 힌트로 주거나, 마지막 글자를 힌트로 주거나, 힌트를 주지 않은 세 그룹 간에 단어맞히기 점수에 차이가 있을 것이다. | ||
| |First Letter \\ Condition 1 \\ X< | | |First Letter \\ Condition 1 \\ X< | ||
| | 15 | 21 | 28 | | | | 15 | 21 | 28 | | ||
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| | 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 | $ T_1 = 180 $ | $ T_2 = 240 $ | $ T_3 = 270 $ | | + | | Mean%%^%%2 |
- | | $\sum{(X_i)^2}$ | + | | b = $n*(mean)^2$ |
+ | | a = $\sum{(X_i)^2}$ | 3888 | 5868 | 7614 | | ||
+ | | 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*} | ||
+ | |||
+ | | m.total = Mean.total | ||
+ | | m.within | ||
+ | | o = m.total - m.within | ||
+ | | o%%^%%2 | 25 | ||
+ | | n | 10 | 10 | 10 | | ||
+ | | o%%^%%2 * n | 250 | 10 | 160 | | ||
+ | | sum | $g = \; $ 420 ||| | ||
+ | |||
+ | |||
+ | \begin{eqnarray*} | ||
+ | k & = & 3 \\ | ||
+ | n & = & 10 \\ | ||
+ | N & = & 30 \\ | ||
+ | \end{eqnarray*} | ||
+ | \begin{eqnarray*} | ||
+ | e' & = & df_{between} = \\ | ||
+ | f' & = & df_{within} = \\ | ||
+ | g' & = & df_{total} = \\ | ||
+ | \end{eqnarray*} | ||
- | $\sum (X_i)^2 | + | | | SS | df | MS | F | |
- | $\overline{X_{total}} | + | | between |
- | $\overline{X}^2 | + | | within |
+ | | total | $g = \;$ 1500 | $g' = \;$ 29 | | ||
- | $ G = ? $ \\ | + | F< |
- | $ G^2 = ? $ \\ | + | F< |
- | $ \sum {(X_i)^2} = 17370 $ \\ | + | |
- | \\ | + | |
- | $ k = | + | |
- | $ n = $ \\ | + | |
- | $ N = $ \\ | + | |
- | \\ | + | |
- | $ df_{total} = $ \\ | + | |
- | $ df_{between} = $ \\ | + | |
- | $ df_{within} | + | |
+ | F< | ||
+ | ====== Example 2 ====== | ||
< | < | ||
x2 <- c(21, 25, 29, 18, 26, 22, 26, 24, 28, 21) | x2 <- c(21, 25, 29, 18, 26, 22, 26, 24, 28, 21) |
anova.txt · Last modified: 2022/09/30 09:02 by hkimscil