Bayesian Optimal Design

 /****************************************************************/
 /*          S A S   S A M P L E   L I B R A R Y                 */
 /*                                                              */
 /*    NAME: OPTEX7                                              */
 /*   TITLE: Bayesian Optimal Design                             */
 /* PRODUCT: QC                                                  */
 /*  SYSTEM: ALL                                                 */
 /*    KEYS: Optimal Designs,                                    */
 /*   PROCS: FACTEX OPTEX GLM                                    */
 /*    DATA:                                                     */
 /*                                                              */
 /*     REF: SAS/QC Software:  Usage and Reference, Version 6,   */
 /*          First Edition, Volume 1 and Volume 2                */
 /*    MISC:                                                     */
 /*                                                              */
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 options ps=60;

 proc factex;
    factors x1-x7;
    output out=can;
 run;

 proc optex data=can seed=57922
            coding=orth;
    model x1-x7,
          x1|x2|x3|x4|x5|x6|x7@2
          / prior=0,16;
    generate n=20 method=m_fedorov;
    output out=des;
 run;

 data des;
    set des;
    y=ranuni(654231);
 run;

 proc glm data=des;
    model y=x1-x7 x1|x2|x3|x4|x5|x6|x7@2 / e aliasing;
 run;