Specified and Derived Parameters |
In the SEQDESIGN procedure, the type of alternative hypothesis (ALT= option) and the condition for early stopping (STOP= option) must be specified for each sequential design. The drift parameters are derived for each design specified. Other parameters, such as Type I error probability , Type II error probability , the alternative reference , and maximum information are either specified or derived in the SEQDESIGN procedure.
Table 80.8 summarizes the available combinations for the specified and derived parameters in the SEQDESIGN procedure.
Specified Parameters |
Derived Parameters |
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Alt Ref |
Max Info |
Alpha |
Beta |
Alt Ref |
Max Info |
Alpha |
Beta |
Drift |
Z |
X |
X |
X |
X |
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Z |
X |
X |
X |
X |
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Z |
X |
X |
X |
X |
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Z |
X |
X |
X |
X |
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X |
X |
X |
X |
X |
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X |
X |
X |
The symbol "X" indicates that the parameter is either specified or derived in the design and the symbol "Z" indicates that the alternative reference is either specified explicitly with the ALTREF= option or derived from the SAMPLESIZE statement. The drift parameter is always derived in the SEQDESIGN procedure.
For example, if the ALTREF= option is specified without the MAXINFO= option being specified, then the maximum information is derived in the SEQDESIGN procedure with the specified and , as illustrated in Example 80.5.
The drift parameter is the standardized reference difference at the final stage. For a design, the drift parameter is
if it has a lower alternative, and
if it has an upper alternative, where is the maximum information and and are the lower and upper alternative references, respectively.
If the alternative reference and the maximum information are not both specified, then the specified and are used to derive the drift parameter. Then if either the alternative reference or the maximum information is specified, the other is derived from the drift parameter.
If both the alternative reference and the maximum information are specified, then either the error or the error is derived in the procedure. However, for a Haybittle-Peto method with the BOUNDARYKEY=NONE option, both and errors are derived from the completely specified boundary values.
For a nonsymmetric two-sided design with different lower and upper specifications (such as different lower and upper errors, errors, or alternative references in absolute values), the derived lower and upper boundaries are not symmetric. If the alternative references and are not both specified, then the SEQDESIGN procedure assumes symmetric alternative references, , for the computation of the boundary values.