How can i obtain P value and F value in a 3^4 (3levels 4factors) L9 Taguchi Design. Since the error is coming null in ANOVA for SN ratios?
Thus far, there's not enough information to answer the question. Can you provide the anova table output ?
Model Summary
S R-Sq R-Sq(adj)
* 100.00% *
Analysis of Variance for SN ratios
Source DF Seq SS Adj SS Adj MS F P
A 2 21.9273 21.9273 10.9636 * *
B 2 0.6252 0.6252 0.3126 * *
C 2 6.8913 6.8913 3.4457 * *
D 2 1.0594 1.0594 0.5297 * *
Residual Error 0 * * *
Total 8 30.5033
This is the outcome once i have analysed the results based on L9 experiment with 3 levels and 4 factors. I have calculated the % contribution and it is found that A and C have the highest contribution. But i need to find P value. Sir please suggest a possbile way.
What is your total sample size ?
I'm not very familiar with Taguchi designs. The following appears to mirror your case precisely, and may provide the answer: https://elsmar.com/elsmarqualityforum/threads/f-and-p-value-in-l9-taguchi-design.66227/
In any case, it appears that you don't have sufficient sample size for the model you are trying to run. (Hence, residual error = 0).
The following may help also: https://www.researchgate.net/post/Which-package-of-R-is-the-best-for-Taguchi-Design-and-analysis
Dear Mandal,
Try to pool out one factor with the lowest percentage contribution.
For 3 levels and 4 factors, since the degrees of freedom are insufficient, you should exclude the least effective parameter from the analysis. As Adnan Mustafic answered above.
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