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Biology

Virginia Commonwealth University

Theses/Dissertations

1971

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A Variation Of The Standard Steepest Ascent Search Procedure For Response Surface Experiments, George Whitfield Cobb Jan 1971

A Variation Of The Standard Steepest Ascent Search Procedure For Response Surface Experiments, George Whitfield Cobb

Theses and Dissertations

The results of this chapter lead to a modification of the standard stopping rule which breathes new life into the method of steepest ascent, but which is unfortunately not sufficient to effect a total resuscitation. As expected, there is no uniformly optimum stopping rule, nor even a uniformly best test statistic; both the optimum statistic and the optimum test level depend on the model parameters y1 and y2. One can, however, adopt a compromise rule which works reasonably well for all parameter combinations by testing at the 25% level with the statistic zn = 1/2(yn -yn-2). In many cases the …