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
Nominal-the-Best Type (Type II)
Let data points be
We can also show the nominal-the-best S/N ratio as:
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
Note: Maximizing this S/N ratio minimizes the mean and standard deviation.
Larger-the-Better Type
Let data points be
Maximizing ...
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