The SEQDESIGN Procedure 
DESIGN Statement 
The DESIGN statement requests a new group sequential design. You can use multiple DESIGN statements, and each DESIGN statement corresponds to a separate group sequential design.
Table 78.2 lists the options available in the DESIGN statement.
Option 
Description 

Design Parameters 

ALPHA= 
Specifies the Type I error probability level 
ALT= 
Specifies the type of alternative hypothesis 
BETA= 
Specifies the Type II error probability level 
BETAOVERLAP= 
Checks for overlapping of the lower and upper boundaries 
in a twosided design with error spending methods 

BOUNDARYKEY= 
Specifies the type of error probability to maintain 
INFO= 
Specifies the information levels 
NSTAGES= 
Specifies the number of stages 
STOP= 
Specifies the condition for early stopping 
Boundary Methods 

METHOD= 
Specifies methods for boundary values 
The required NSTAGES= option specifies the number of stages. The METHOD= option is required if the number of stages specified in the NSTAGES= option is greater than one. The following options can be used in the DESIGN statement. They are listed in alphabetical order.
specifies the Type I error probability . The default is . The LOWER= and UPPER= options are applicable only for the twosided design. The LOWER= option specifies the lower Type I error probability , and the upper Type I error probability is computed as . The UPPER= option specifies the upper Type I error probability , and the lower Type I error probability is computed as . If both LOWER= and UPPER= options are not specified, .
If both the MAXINFO= and ALTREF= options are specified, then the Type I and Type II error probability levels cannot be met simultaneously. In this case, the ALPHA= option is applicable only with the BOUNDARYKEY=ALPHA option (which is the default), and the Type II error probability is derived.
specifies the type of alternative hypothesis in the design. For a test of , the keywords LOWER, UPPER, and TWOSIDED correspond to the alternatives of , , and , respectively. The default is ALT=TWOSIDED.
specifies the Type II error probability level . The default is . The LOWER= and UPPER= options are applicable only for the twosided design. The LOWER= option specifies the lower Type II error probability level , and the UPPER= option specifies the upper Type II error probability level . If the LOWER= or UPPER= option is not specified, is used.
If both the MAXINFO= and ALTREF= options are specified, then the Type I and Type II error probability levels cannot be met simultaneously. In this case, the BETA= option is applicable only with the BOUNDARYKEY=BETA option, and the Type I error probability is derived.
specifies whether to check for overlapping of the lower and upper boundaries for the two corresponding onesided tests. This option applies to twosided designs with STOP=ACCEPT or STOP=BOTH that are constructed with error spending methods, and this type of overlapping might result from a small spending at an interim stage. When you specify BETAOVERLAP=ADJUST, the procedure checks for this type of overlapping. If such overlapping is found, the boundaries for the twosided design at that stage are set to missing, and the spending values at subsequent stages are adjusted, as described in the section Boundary Adjustments for Overlapping Lower and Upper Boundaries".
You can specify BETAOVERLAP=NOADJUST to request that no adjustment be made. The default is BETAOVERLAP=ADJUST.
specifies types of errors to be maintained in the resulting boundary. The default is BOUNDARYKEY=ALPHA if both ALTREF= and MAXINFO= options are specified. Otherwise, the default is BOUNDARYKEY=NONE for Whitehead methods with the STOP=BOTH option, and it is BOUNDARYKEY=BOTH for others.
See the section Applicable Boundary Keys for a detailed description of applicable boundary keys.
specifies relative information levels for all stages in the design. The INFO=EQUAL option specifies equally spaced information levels, and the INFO=CUM option specifies cumulative relative information levels. The default is INFO=EQUAL.
If the number of information levels specified in the INFO=CUM option is less than the number of stages specified in the NSTAGES= option, the last available information increment is used as the information increment for each subsequent stage.
specifies the methods for the boundaries in the design, where .
For a onesided design, an boundary is created with the STOP=REJECT or STOP=BOTH option, and a boundary is created with the STOP=ACCEPT or STOP=BOTH option. For a twosided design, lower and upper boundaries are created with the STOP=REJECT or STOP=BOTH option, and lower and upper boundaries are created with the STOP=ACCEPT or STOP=BOTH option.
There are three types of methods available in the SEQDESIGN procedure. The unified family methods and HaybittlePeto methods derive boundary values with fixed boundary shape; the Whitehead methods derive boundary values by adjusting the boundary values generated from continuous monitoring; and the error spending methods derive the boundary values from the specified errors used at each stage. You can specify different methods for the same design, but all methods must be from the same group.
For a design with early stopping to reject or accept the null hypothesis, the METHOD=WHITEHEAD option uses Whitehead’s triangular design and doubletriangular design for a onesided design and twosided design, respectively (Whitehead and Stratton 1983; Whitehead 1997, 2001). For a design with early stopping only to reject the null hypothesis or only to accept the null hypothesis, you can specify the slope of the boundary line in the score statistic scale with the TAU= option. The default is TAU=. See the section Whitehead Methods for a detailed description of the Whitehead methods.
The following options specify available error spending methods for the boundary. Each of these methods can be specified with the METHOD= option for all boundaries, or with the METHOD(boundary) = option for an individual boundary. See the section Error Spending Methods for a detailed description of these error spending methods.
specifies a gamma cumulative error spending function for the boundary (Hwang, Shih, and DeCani 1990). The GAMMA= option specifies the gamma parameter in the function, where . The boundaries created with are similar to the boundaries from the Pocock method, and the boundaries created with or are similar to the boundaries from the O’BrienFleming method. The default is GAMMA=, which is the average of and .
specifies the O’BrienFlemingtype cumulative error spending function for the boundary (Lan and DeMets 1983).
specifies the Pococktype cumulative error spending function for the boundary (Lan and DeMets 1983).
specifies a power cumulative error spending function for the boundary (Jennison and Turnbull 2000, p. 148). The RHO= option specifies the power parameter in the function, where . The boundaries created with are similar to the boundaries from the Pocock method, and the boundaries created with are similar to the boundaries from the O’BrienFleming method. The default is RHO=2, which is the average of and .
specifies the relative cumulative error spending at each stage.
With a fixed boundary shape, you can use the following available HaybittlePeto methods and unified family methods to derive the boundary. You can specify each of these methods in the METHOD= option for all boundaries, or in the METHOD(boundary) = option for an individual boundary. See the section HaybittlePeto Method for a detailed description of the HaybittlePeto methods, and see the section Unified Family Methods for a detailed description of unified family methods.
specifies the HaybittlePeto method (Haybittle 1971; Peto et al. 1976). The values specified are used to create the boundary values. The boundary value at the final stage can be derived in the procedure to maintain the Type I and Type II error probability levels. The default is Z=.
specifies the O’BrienFleming method (O’Brien and Fleming 1979). The O’BrienFleming method is equivalent to a power family method with RHO=.
specifies the Pocock method (Pocock 1977). The Pocock method is equivalent to a power family method with RHO=.
specifies a power family method (Wang and Tsiatis 1987; Emerson and Fleming 1989; Pampallona and Tsiatis 1994). The RHO= option specifies the power parameter in the power family method, where . The power family method with corresponds to the Pocock method, and the power family method with corresponds to the O’BrienFleming method. The default is RHO=0.25, a value halfway between the Pocock and O’BrienFleming methods. A power family method is equivalent to a unified family method with RHO= and TAU=.
specifies a unified family triangular method (Kittelson and Emerson 1999), where . The default is TAU=1.0. The triangular method is identical to the unified family method with RHO= and TAU=. Note that this unified family triangular method is different from Whitehead’s triangular method.
specifies a unified family method (Kittelson and Emerson 1999). The TAU= and RHO= options specify the and parameters in a unified family method, respectively, where and . The defaults are TAU=0 and RHO=0.25. See the section Unified Family Methods for a detailed description of the unified family methods.
The O’BrienFleming, Pocock, power family, and triangular methods are all special cases of the unified family methods. Table 78.3 summarizes the corresponding parameters in the unified family for these methods.
Method 
Option 
Unified Family 

Rho 
Tau 

Pocock 
POC 
0 
0 
O’BrienFleming 
OBF 
0.5 
0 
Power family 
POW (RHO=) 

0 
Triangular 
TRI (TAU=) 
0.5 

Note that the power parameter , where is the power parameter used in Jennison and Turnbull (2000) and Wang and Tsiatis (1987) and is the power parameter used in Kittelson and Emerson (1999).
If a method with specified parameters is used for all boundaries in the design, you can use the METHOD= option to specify the method. Otherwise, you can use the following METHOD(boundary)= options to specify different methods from the same group for the boundaries.
specifies the method for the boundary of a onesided design or the lower and upper boundaries for a twosided design.
specifies the method for the lower boundary of a twosided design.
specifies the method for the upper boundary of a twosided design.
specifies the method for the boundary of a onesided design or the lower and upper boundaries for a twosided design.
specifies the method for the lower boundary of a twosided design.
specifies the method for the upper boundary of a twosided design.
specifies the number of stages for the design. This option is required in the DESIGN statement, and the maximum allowed number of stages is 25.
specifies the condition of early stopping for the design. The keywords ACCEPT, REJECT, and BOTH correspond to early stopping only to accept, only to reject, and either to accept or reject the null hypothesis , respectively. The default is STOP=REJECT.
Copyright © SAS Institute, Inc. All Rights Reserved.