In the two step optimization procedure advocated by quality engineering, first a robust set of design conditions with high noise tolerance is found; then, if necessary, the conditions are tuned toward the target characteristic. When the target characteristic is expressed as a curve, orthogonal polynomials are useful in the tuning process. Two types of orthogonal polynomials are available: Chebyshev general orthogonal polynomials, which have constant terms; and proportional orthogonal polynomials, which lack constant terms. Criteria for choosing between these two types have been unclear. In the present study, this issue was addressed with respect to the operating force curve of a switch by using theoretically derived orthogonal polynomials of both types and comparing the tuning processes. Both types were applied to the same materials, making possible a concrete comparison between them. Both types of orthogonal polynomials led to nearly the same final tuning accuracy and yielded nearly identical design specifications, but the proportional orthogonal polynomials were found to be advantageous because they were easier to work with and were more generally applicable.