ANOVA问题请教

ANOVA问题请教


在做DOE时候经常遇到这种情况，同一次试验是否需要重复做，是否需要测量多次Y,因为在很多情况下，考虑到成本，不可能让你同一次实验测量几次或者重复做几次，这种情况下，还可以做ANOVA分析吗？
ANOVA 分析中把重复试验或重复测量差异/波动当作误差，如果没有重复测量或试验，那么实验误差来源哪里，如何分析。
以下是我做的5因子2水平实验，产生8组试验
1 -1 -1 -1 -1
1 -1 1 -1 1
-1 -1 -1 1 1
1 1 -1 1 -1
-1 1 1 -1 -1
1 1 1 1 1
-1 -1 1 1 -1
-1 1 -1 -1 1
每组实验只做一次（成本考虑），每组只测量一次，因为Y是单位缺陷数，无法多次测量，利用DOE\Factorial\analysis factorial design,产生结果如下：
Fractional Factorial Design

Factors: 5 Base Design: 5, 8 Resolution: III
Runs: 8 Replicates: 1 Fraction: 1/4
Blocks: 1 Center pts (total): 0

NOTE Some main effects are confounded with two-way interactions.
Design Generators: D = AB, E = AC
Alias Structure
I + ABD + ACE + BCDE
A + BD + CE + ABCDE
B + AD + CDE + ABCE
C + AE + BDE + ABCD
D + AB + BCE + ACDE
E + AC + BCD + ABDE
BC + DE + ABE + ACD
BE + CD + ABC + ADE


Alias Information for Terms in the Model.
Totally confounded terms were removed from the analysis.
A + BD + CE
B + A*D
C + A*E
D + A*B
E + A*C
BC + DE
BE + CD
Factorial Fit: Y versus A, B, C, D, E
Estimated Effects and Coefficients for Y (coded units)
Term Effect Coef
Constant 19.750
A 3.000 1.500
B 1.500 0.750
C -2.000 -1.000
D -0.000 -0.000
E -0.500 -0.250
B*C -0.000 -0.000
B*E -3.500 -1.750
S = *
Analysis of Variance for Y (coded units)

Source DF Seq SS Adj SS Adj MS F P
Main Effects 5 31.00 31.00 6.200
2-Way Interactions 2 24.50 24.50 12.250
Residual Error 0 *
Total 7 55.50

可以看出误差自由度为0，结果所有P值都无法显示，用*代替，请问，这样的结果对吧，如果不对，怎么办？需要重复试验吗？如果条件不容许又该怎么办？