# Calculations Response Table for Standard Deviations, static Taguchi design - ID 936

## Minitab 16  >  DOE  >  Taguchi

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 Standard deviations. How is the output in the Response Table for Standard Deviations calculated?

#### Solution

The Response Table contains a row for the average standard deviation 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 standard deviations 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 Standard deviation.
3. In Input variables, enter c3 c4.
4. In Store result in, enter c6.
5. Click OK.

Note that you can also get these standard deviations by choosing Stat > DOE > Taguchi > Analyze Taguchi Design > Storage, checking Standard deviations, and clicking OK twice.

Part 2
1. Choose Stat > Basic Statistics > Store Descriptive Statistics.
2. In Variables, enter c6.
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 standard deviations that are displayed in the Response Table for factor A.

Repeat Part 2, entering c2 in step 3 to get the standard deviations for factor B.

To see the calculations for the Response Table for Signal to Noise Ratios for a static Taguchi design with no replicates using the default of Nominal is best (10*Log(Ybar**2/s**2)), please see Knowledgebase ID 937.

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