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Overview of Taguchi DEO Templates

The Taguchi DOE templates are similar to the other SigmaXL templates: simply enter the inputs and resulting outputs are produced immediately.


Click SigmaXL > Design of Experiments > Basic Taguchi DOE Templates or SigmaXL > Templates and Calculators > Basic Taguchi DOE Templates to access these templates:

  • Taguchi L4 (2 Level)
    • Two-Factor (with Two-Way Interaction)
    • Three-Factor
  • Taguchi L8 (2 Level)
    • Three-Factor (with Two-Way Interactions)
    • Four to Six-Factor (with Aliased Two-Way Interactions)
    • Seven-Factor
  • Taguchi L9 (3 Level)
    • Two-Factor (with Two-Way Interaction)
    • Four-Factor
  • Taguchi L12 (2 Level): Eleven Factor
  • Taguchi L16 (2 Level)
    • Five-Factor (with Two-Way Interactions)
    • Eight to Fourteen-Factor (with Aliased Two-Way Interactions)
    • Fifteen-Factor
  • Taguchi L18 (2/3 Level)
    • Three-Factor (with Two-Way Interactions)
    • Eight-Factor (with A*B Interaction)
  • Taguchi L27 (3 Level)
    • Three-Factor (with Two-Way Interactions)
    • Thirteen-Factor

Note: SigmaXL Basic Taguchi DOE templates do not include L32 (2 Level), L36 (2/3 Level), L54 (2/3 Level), designs with more than 3 Levels, or a signal factor for dynamic characteristics.

Template Features:

  • Levels are discrete categorical so may be numeric or text
  • Fill in the blanks template, charts automatically update
  • Predicted Response Calculator and Charts for Mean, Standard Deviation (or Ln Standard Deviation) and Signal-to-Noise Ratio
  • Available Signal-to-Noise Ratios:
    • Nominal is Best
    • Nominal is Best (Variance Only)
    • Nominal is Best (Mean Square Deviation with Target)
    • Larger is Better
    • Smaller is Better
    Signal-to-Noise Ratios Formula
    SN: Nominal is Best 10*Log10(Ybar^2/S^2)
    SN: Nominal is Best (Variance Only) -10*Log10(S^2)
    SN: Nominal is Best (Mean Square Deviation with Target) -10*Log10(Sum((Y-T)^2)/n)
    SN: Larger is Better -10*Log10(Sum(1/Y^2)/n)
    SN: Smaller is Better -10*Log10(Sum(Y^2)/n)
  • Up to 27 Replications for Outer Array (i.e., support up to L27 Outer Array)
  • Pareto of Deltas (Effects) and ANOVA SS (Sum-of-Squares) % Contribution (for Main Effects and Two-Way Interactions)
  • Main Effects Plot and Interaction Plots (if applicable)
  • For designs with aliased interactions a drop-down list of available aliased interactions is provided. This is much easier to use than Linear Graphs
  • Column assignments to Orthogonal Array are optimized to ensure maximum design resolution

Template Notes:

  1. Select desired Signal-to-Noise Ratio to maximize. The SN formula is displayed.
  2. For Nominal is Best, "SN: Nominal is Best" is recommended for non-negative data. Use "SN: Nominal is Best (Variance Only)" if the data has a mixture of negative and positive values.
  3. If selection is "SN: Nominal is Best MSD with Target", enter Target value (MSD denotes Mean Square Deviation); if Target = 0, this is equivalent to Smaller Is Better. For use of MSD in SN Ratio, see Ranjit Roy (2010) "A Primer on the Taguchi Method," Second Edition, Society of Manufacturing Engineers.
  4. Larger is Better requires positive data. Smaller is Better requires non-negative data (target is zero).
  5. Select desired Standard Deviation Response: StDev(Y) or Ln(StDev(Y)).
  6. Enter Factor Names and Factor Levels. Levels are discrete categorical, so may be numeric or text
  7. If applicable, select Aliased Interactions. Enter Run Number (if runs have been randomized) and Outer Array Response values
  8. Selection of Aliased Interaction assumes that the chosen interaction is dominant and the others are negligible. It is often associated with the largest main effects. Confirmation runs should be used to validate model. Please refresh selection if message appears.
  9. For Taguchi L8 Five to Six Factors and L16 Nine to Fourteen Factors, not all possible interactions are available in the drop-down list (they are aliased with main effects). If an interaction of interest is not available in any of the drop-down lists, please modify the Factor Names so that they are assigned to columns shown in the list and then select that interaction.
  10. The typical default display of Yrep1 to Yrep9 accommodates an outer array up to L9. Unhide columns to display Yrep10 to Yrep27, which permits an outer array up to L27.
  11. Delta is the difference between the maximum and minimum average response for the levels of each factor in the inner array. Two-way interactions are not included. ANOVA SS (Sumof-Squares) % Contribution includes two-way interactions.
  12. To compute a predicted response, enter Actual Factor Setting using the drop-down selection. Factors are treated as categorical. If Factor Setting Coded is "FALSE", please refresh selection to match level settings. Note, Excel Solver cannot be used with this calculator.
  13. The Interaction Plot X-axis/Legend factors may be switched by clicking on the chart, then select Excel Design > Switch Row/Column.
  14. DOE Templates are protected worksheets by default, but this may be modified by clicking SigmaXL > Help > Unprotect Worksheet. Alternatively, you can click Excel File > Info > Unprotect or Home > Format > Unprotect Sheet.
  15. Chart Y-axis scaling is automatic. To modify, double-click on the Y axis and adjust Minimum and Maximum.
  16. The Orthogonal Array or Dummy Coding may be analyzed using Multiple Regression Analysis, adding and removing terms from the model as necessary. Terms that are removed will be used to estimate error for p-values. In particular, regression analysis of 3 Level designs with interactions (L9 Two Factor, L18 Three Factor and L27 Three Factor) should use Dummy Coding
  17. Dummy Coding uses Level 1 as the reference value, so Level 1 does not appear in the array. The Predicted Output calculator formula coefficients and ANOVA Sum-of-Squares (SS) % Contribution are computed using Dummy Coding regression. This is consistent with SigmaXL's use of Dummy Coding regression for categorical factors in other tools.
  18. Do not modify any other part of the template.
  19. Caution: The use of Cell Autocomplete with Flash Fill in Excel 2016 or higher may result in a crash (this is a known Microsoft issue). If this occurs, please turn off Automatic Flash Fill (File > Options > Advanced, uncheck "Automatically Flash Fill" under "Enable Autocomplete for cell value").
  20. If there are further stability issues, please turn off Automatic Recalculate (Formulas > Calculation Options, Select Manual). Use "Calculate Now" to refresh calculations after entry of Factor Names, Levels, Outer Array data or as needed.

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