《Mathcad 2001在数学中的应用》实验33 单因素方差分析程序

实验33单因素方差分析程序 下列程序可以作单因素等水平方差分析问题 ANOVA(X,a)=|(r←cols(X)t←ows(X)) means,←mea M SA←t ∑(many-Mm) SE← ∑∑(X1-mmsy ST←SA+SE r-1 F← qa←q1-a,r-1,r(t-1) sig←" Significant Conc←" Accept Ho" F (t-1) 278.524522492273.0 276.4249.5245.2250.9 给出原始数据矩阵 271.0236.8252.82584 2724239.02514266.5

实验33 单因素方差分析程序 下列程序可以作单因素等水平方差分析问题: ANOVA(X,a) (r ¬ cols(X) t ¬ rows(X) ) meansk mean X k á ñ ¬ ( ) for kÎ 0.. r - 1 Mgrand ¬ mean(means) SA t 0 r-1 j meansj - Mgrand ( ) 2 å = ¬ × SE 0 t-1 i 0 r-1 j X i, j meansj - ( ) 2 å = å = ¬ ST ¬ SA + SE F SA r-1 SE t×(r-1) ¬ qa ¬ qFéë1 - a,r - 1,r × (t - 1)ùû é ê ê ê ë ù ú ú ú û Conc ¬ "Reject Ho" sig ¬ "Significant" if F > qa Conc ¬ "Accept Ho" sig ¬ "No significant" otherwise SA SE ST r - 1 r × (t - 1) r × t - 1 SA r - 1 SE r × (t - 1) sig F qa Conc é ê ê ê ê ê ë ù ú ú ú ú ú û := X 278.5 276.4 271.0 272.4 245.2 249.5 236.8 239.0 249.2 245.2 252.8 251.4 273.0 250.9 258.4 266.5 æ ç ç ç ç è ö ÷ ÷ ÷ ÷ ø := 给出原始数据矩阵

调用上述程序 23852323795.07721.322 anOVA(X,0.05)=4474651237289 283269715 Reject Ho 0.2360.2570.258 0.2380.2530.264 M:=0.24802550.259 cols(M)=3rowM)=5原始数据矩阵 0.2450.2540.267 0.2430.2610.262 000502002670203055 ANOVA(M, 0.05) 0.000192120.0000163.88529383 0.00124533 14" Significant""Reject Ho 278.5245.22492273.0 276.42495245.22409 X:=271.0236.825282584 原始数据矩阵 272.423902514266.5 27582447250.5252.3 2821.862394062117.692 ANOVA(X,0.05)=7974961649.843 3.239 3619.358 19"Significant""Reject Ho

调用上述程序 ： ANOVA(X, 0.05) 2385.232 447.465 2832.697 3 12 15 795.077 37.289 "Significant" 21.322 3.49 "Reject Ho" æ ç ç è ö ÷ ÷ ø = M 0.236 0.238 0.248 0.245 0.243 0.257 0.253 0.255 0.254 0.261 0.258 0.264 0.259 0.267 0.262 æ ç ç ç ç ç è ö ÷ ÷ ÷ ÷ ÷ ø := cols(M) = 3 rows(M) = 5 原始数据矩阵 ANOVA(M, 0.05) 0.00105333 0.000192 0.00124533 2 12 14 0.00052667 0.000016 "Significant" 27.43055556 3.88529383 "Reject Ho" æ ç ç è ö ÷ ÷ ø = X 278.5 276.4 271.0 272.4 275.8 245.2 249.5 236.8 239.0 244.7 249.2 245.2 252.8 251.4 250.5 273.0 240.9 258.4 266.5 252.3 æ ç ç ç ç ç è ö ÷ ÷ ÷ ÷ ÷ ø := 原始数据矩阵 ANOVA(X, 0.05) 2821.862 797.496 3619.358 3 16 19 940.621 49.843 "Significant" 17.692 3.239 "Reject Ho" æ ç ç è ö ÷ ÷ ø =