# Taguchi mixed model DoE [L16 (4^3 2^6): factors interaction and ANOVA calculation

H

#### Haipan

Hi All,

I am Haipan.

I am working with Taguchi DoE with L16 (4^3 2^6) experiment model.
I have done with Pareto ANOVA and get contribution percentage of each factors and preferred combination factors.

In addition, I also investigated the interaction between 2 factors and 3 factors by Minitab.

Ex: 2-way interaction of factors with 4 level each and 4 and 2 level of factors.
Factor A : 4 level (1 2 3 4)
Factor B : 4 level ( 1 2 3 4)
Factor C : 2 level (1 2)
Interaction: AxBxC
AxB
BxC
1. I found an interaction pattern for AxB interaction, but robustness pattern when reverse view (BxA).

Can anyone suggest me, what is that mean?

2. How to calculate Mean of AxB interaction for each factor level? as I need this data to calculate ANOVA (investigate contribution percentage)

Thank you,
Haipan

H

Thanks

Y

#### yasir ishraq

Hi All,

I am Haipan.

I am working with Taguchi DoE with L16 (4^3 2^6) experiment model.
I have done with Pareto ANOVA and get contribution percentage of each factors and preferred combination factors.

In addition, I also investigated the interaction between 2 factors and 3 factors by Minitab.

Ex: 2-way interaction of factors with 4 level each and 4 and 2 level of factors.
Factor A : 4 level (1 2 3 4)
Factor B : 4 level ( 1 2 3 4)
Factor C : 2 level (1 2)
Interaction: AxBxC
AxB
BxC
1. I found an interaction pattern for AxB interaction, but robustness pattern when reverse view (BxA).

Can anyone suggest me, what is that mean?

2. How to calculate Mean of AxB interaction for each factor level? as I need this data to calculate ANOVA (investigate contribution percentage)

Thank you,
Haipan
Hi Dear
Using Minitab, please design your taguchi experiment by going to taguchi tab at Stat tab>DOE>taguchi>Creat taguchi design> defining the level and description
go to analysis tab>define results columns and get desire SNR and Mean
After that run ANOVA from same stat tab and select general linear model, Select SNR column and you will get the contribution of each factor after run analysis.

Hope it will help

#### Miner

##### Forum Moderator
Staff member
Hi All,

I am Haipan.

I am working with Taguchi DoE with L16 (4^3 2^6) experiment model.
I have done with Pareto ANOVA and get contribution percentage of each factors and preferred combination factors.

In addition, I also investigated the interaction between 2 factors and 3 factors by Minitab.

Ex: 2-way interaction of factors with 4 level each and 4 and 2 level of factors.
Factor A : 4 level (1 2 3 4)
Factor B : 4 level ( 1 2 3 4)
Factor C : 2 level (1 2)
Interaction: AxBxC
AxB
BxC
1. I found an interaction pattern for AxB interaction, but robustness pattern when reverse view (BxA).

Can anyone suggest me, what is that mean?

2. How to calculate Mean of AxB interaction for each factor level? as I need this data to calculate ANOVA (investigate contribution percentage)

B WEDM Taguchi and Anova Analysis - L16 array with 5 parameters at 4 levels Manufacturing and Related Processes 5
A Taguchi Minitab - Continuous Data - What should I choose as response variable? Using Minitab Software 3
K Taguchi Experiments for Factorial Design Analysis - Reliability of Minitab Results Using Minitab Software 1
S Taguchi Design with ANOVA - 3 factors each with 3 levels Quality Assurance and Compliance Software Tools and Solutions 13
M Taguchi Loss Function Problem Misc. Quality Assurance and Business Systems Related Topics 2
Taguchi Signal to Noise Ratios Misc. Quality Assurance and Business Systems Related Topics 3
J F and P-value in L9 Taguchi Design Using Minitab Software 22
E ANOVA for Taguchi method - Four factors and three levels and nine runs (Minitab) Using Minitab Software 6
Y Experiential Design with Taguchi Method Using Minitab Software 2
M Taguchi Analysis of Discrete Factor Using Minitab Software 10
Y Taguchi Design with 6 levels and 3 factors in Minitab Using Minitab Software 11
P Taguchi Logit Transformation in Minitab Using Minitab Software 7
K Taguchi School Assignment using an L8 Orthogonal spreadsheet tool Statistical Analysis Tools, Techniques and SPC 1
P Taguchi Anova Error with Minitab Using Minitab Software 9
R Taguchi design for 3 level 4 factors Using Minitab Software 12
M Taguchi L4 Orthogonal Array Design of Experiments (DOE) in an Excel spreadsheet Excel .xls Spreadsheet Templates and Tools 3
M Taguchi versus fractional factorial: Can somebody check the results? Quality Tools, Improvement and Analysis 3
How to Make Things Well: Genichi Taguchi, 1924-2012 Philosophy, Gurus, Innovation and Evolution 1
J Taguchi Analysis using MiniTAB Using Minitab Software 1
B Taguchi DOE (Design of Experiments) example using Minitab Using Minitab Software 3
A Quality Giant Dies: Dr. Genichi Taguchi: RIP - June 2nd 2012 Philosophy, Gurus, Innovation and Evolution 0
V Using Taguchi method in Minitab for Coil Winding Application Using Minitab Software 11
T DOE Multi level Taguchi - I am doing a Capstone Project Using Minitab Software 10
Taguchi DOE Analysis - What S/N ratio (Nominal is best or smaller is better) to use? Quality Tools, Improvement and Analysis 5
S Taguchi's "Robust Design" for Services Sector - Experience or Papers to Share? Six Sigma 3
A Taguchi Inner and Outer Array Design for Medical Device Testing Quality Tools, Improvement and Analysis 1
D Mathematical Model of Taguchi L18 Using Minitab Software 7
R Analysis of Welding Parameters - Can Taguchi methods provide equation? Using Minitab Software 11
R Define Data from Taguchi to Response Surface Methodology in Minitab Using Minitab Software 2
R Taguchi Design - Degree of freedom for l27 in 4 factors 3 level (Minitab) Using Minitab Software 15
P Taguchi's Analysis using Minitab 16 Using Minitab Software 25
P Taguchi method using Minitab - DOE (Design of Experiments) Help Quality Tools, Improvement and Analysis 7
Taguchi Loss Function example Misc. Quality Assurance and Business Systems Related Topics 4
C Difference between softwares in choosing correct Taguchi designs Using Minitab Software 16
C DoE and ANOVA - 4 factor and 3 levels Taguchi design with 2 replicates Using Minitab Software 14
G Implementing Taguchi Loss Function in COQ - A Curious Case Misc. Quality Assurance and Business Systems Related Topics 1
V Quality Gurus Comparison - Deming, Juran, Crosby, Ishikawa and Taguchi Philosophy, Gurus, Innovation and Evolution 1
M Apply Taguchi method for Web-based application development Quality Tools, Improvement and Analysis 4
T Optimizing Multiple Response Variables Using Taguchi Signal-to-Noise ratios Statistical Analysis Tools, Techniques and SPC 3
C Is Cpm (Taguchi's Index) Superior to Cpk and Ppk? Capability, Accuracy and Stability - Processes, Machines, etc. 1
D Questions about Taguchi style Designed Experiments (DOE) Quality Tools, Improvement and Analysis 6
S Looking for a good Taguchi book-any suggestions? Book, Video, Blog and Web Site Reviews and Recommendations 3
A Shainin vs. Fisher vs. Taguchi DOE (Design of Experiments) Statistical Analysis Quality Tools, Improvement and Analysis 10
L DOE Integrated Methodology - Traditional DOE vs. Taguchi Methods vs. Shainin Techniqu Quality Tools, Improvement and Analysis 7
Taguchi quality loss function - How do I establish the 'Consumer Loss' element? Quality Tools, Improvement and Analysis 6
S Desensitizing to reduce variation - A Taguchi technique? Quality Tools, Improvement and Analysis 3
S How does one calculate Cpm (Taguchi process capability) Statistical Analysis Tools, Techniques and SPC 16
Zero Defects & Taguchi Loss Function - ISO 9000 and the Zero Defects Philosophy Quality Tools, Improvement and Analysis 32
Rust preventive oil mixed with kerosene Problem Solving, Root Cause Fault and Failure Analysis 2
Mixed Reality - What kind of possibilities can you imagine? Coffee Break and Water Cooler Discussions 1