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Competing with High Quality Data: Concepts, Tools, and Techniques for Building a Successful Approach to Data Quality by Rajesh Jugulum

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Appendix A

Equations for Signal-to-Noise (S/N) Ratios

Nondynamic S/N Ratios

  • Nominal-the-Best
  • Smaller-the-Better
  • Larger-the-Better

Nominal-the-Best Type (Type I)

Let data points be Appb001.eps

Nominal-the-Best Type (Type II)

Let data points be

images

We can also show the nominal-the-best S/N ratio as:

images

In this equation, the error variance (Ve) is an unbiased estimate of σ2.

Note: The higher the S/N ratio becomes, the smaller the variability is. Maximizing this S/N ratio is equivalent to minimizing standard deviation or variation.

Smaller-the-Better Type

Let data points be

images

Note: Maximizing this S/N ratio minimizes the mean and standard ­deviation.

Larger-the-Better Type

Let data points be

images

Maximizing ...

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