Calculations for Response Table for Signal to Noise Ratios, static Taguchi design - ID 937

Revised: 1/7/2010

Applies to

• Minitab 16

Description

I have a Taguchi design with no replicates or signal factors. I chose Stat > DOE > Taguchi > Analyze Taguchi Design, clicked Analysis and checked Signal to Noise ratios. How is the output in the Response Table for Signal to Noise Ratios calculated using the default method?

Solution

The Response Table contains a row for the average signal to noise ratio for each factor level, Delta, and Rank. The table contains a column for each factor. Delta is the difference between the maximum and minimum average signal to noise ratios for the factor. The Rank is the rank of each Delta, where Rank 1 is the largest Delta.

For example, suppose the inner array has 2 factors (A and B), stored in c1 and c2, respectively, and the outer array has two responses, stored in c3 and c4.

Part 1
1. Choose Calc > Row Statistics.
2. Choose Mean.
3. In Input variables, enter c3 c4.
4. In Store result in, enter c6.
5. Click OK.

Part 2
1. Choose Calc > Row Statistics.
2. Choose Standard deviation.
3. In Input variables, enter c3 c4.
4. In Store result in, enter c7.
5. Click OK.

Part 3
1. Choose Calc > Calculator.
2. In Store result in variable, enter c8.
3. In Expression, enter:

10 * LOGT(C6**2 / C7**2)

4. Click OK.

Note that you can also get these signal to noise ratios by choosing Stat > DOE > Taguchi > Analyze Taguchi Design > Storage, checking Signal to Noise ratios, and clicking OK twice.

Part 4
1. Choose Stat > Basic Statistics > Store Descriptive Statistics.
2. In Variables, enter c8.
3. In By variables, enter c1.
4. Click Statistics.
5. Check Mean.
6. Click OK twice.

The last column in the worksheet (named Mean1 if there was not already a column with this name before performing these steps) contains the signal to noise ratios that are displayed in the Response Table for factor A.

Repeat Part 4, entering c2 in step 3 to get the signal to noise ratios for factor B.

To see the calculations for the Response Table for Standard Deviations for a static Taguchi design with no replicates, please see Knowledgebase ID 936.

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