Differences

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--- anova [2018/10/19 08:04] – [Post hoc test] hkimscil
+++ anova [2020/05/20 15:13] – [Example] hkimscil
@@ Line 466: / Line 466: @@
 Falken-CEAT         2.86345994  0.7536409  4.973279 0.0037424
 >
+> tapply(adata$Mileage, adata$Brands, mean)
+     Apollo Bridgestone        CEAT      Falken
+.79913    31.78013    34.76121    37.62467
+>
 </code>
@@ Line 526: / Line 530: @@
 | | 41 | 21 | 15 |
 | 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  | 324  | 576  | 729  |
-| $\sum{(X_i)^2}$  | 3888  | 5868  | 7614  |
+| b = $n*(mean)^2$  | 3240  | 5760  | 7290  |
+| a = $\sum{(X_i)^2}$  | 3888  | 5868  | 7614  |
+| a-b = Var.within  | 648  | 108  | 324  | $f = $1080   |
+\begin{eqnarray*}
+a & = & \sum (X_i)^2 = 17370 \\
+b & = & \overline{X_{total}} = 23 \\
+c & = & \overline{X}^2 = 529 \\
+d & = & N = 30 \\
+e & = & SS_{total} = \sum {(X_i)^2} = a - (d * c) = 1500 \\
+f & = & SS_{within} = 648 + 108+ 324 = 1080 \\
+g & = & SS_{between} = e - f = 420
+\end{eqnarray*}
-$\sum (X_i)^2 = 17370 $ \\
+\begin{eqnarray*}
-$\overline{X_{total}} = 23 $ \\
+k =  3 \\
-$\overline{X}^2 = 529 $ \\
+n =  10 \\
+N =  30 \\
+\end{eqnarray*}
-$ G = ? $ \\
+\begin{eqnarray*}
-$ G^2 = ? $ \\
+df_{between} =  \\
-$ \sum {(X_i)^2} = 17370 $ \\
+df_{within} =  \\
-\\
+df_{total} =  \\
-$ k =  $ \\
+\end{eqnarray*}
-$ n =  $ \\
-$ N =  $ \\
-\\
-$ df_{total} = $ \\
-$ df_{between} = $ \\
-$ df_{within} = $ \\
 <code>x1 <- c(15, 20, 14, 13, 18, 16, 13, 12, 18, 41)