caa a22 4500 477063136 CHVBK 20180405111406.0 cr unu---uuuuu 170330e19960601xx s 000 0 eng 10.1007/BF00054798 doi (NATIONALLICENCE)springer-10.1007/BF00054798 On optimal third order rotatable designs [Elektronische Daten] [Norman Draper, Berthold Heiligers, Friedrich Pukelsheim] We obtain results for choosing optimal third order rotatable designs for the fitting of a third order polynomial response surface model, for m≥3 factors. By representing the surface in terms of Kronecker algebra, it can be established that the two parameter family of boundary nucleus designs forms a complete class, under the Loewner matrix ordering. In this paper, we first narrow the class further to a smaller complete class, under the componentwise eigenvalue ordering. We then calculate specific optimal designs under Kiefer's % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqOXdy2aaS% baaSqaaiaadchaaeqaaaaa!38C6!\[\phi _p \] (which include the often used E-, A-, and D-criteria). The E-optimal design attains a particularly simple, explicit form. The Institute of Statistical Mathematics, 1996 Complete classes of designs nationallicence design efficiency nationallicence E-, A-, D-optimal designs nationallicence response surface designs nationallicence third order models nationallicence Draper Norman Department of Statistics, University of Wisconsin-Madison, 53706, Madison, WI, U.S.A. aut Heiligers Berthold Fakultät für Mathematik, Universität Magdeburg, D-39016, Magdeburg, Germany aut Pukelsheim Friedrich Institut für Mathematik, Universität Augsburg, D-86135, Augsburg, Germany aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 395-402 0020-3157 48:2<395 1996 48 10463 https://doi.org/10.1007/BF00054798 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00054798 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Draper Norman Department of Statistics, University of Wisconsin-Madison, 53706, Madison, WI, U.S.A aut NATIONALLICENCE 700 1- Heiligers Berthold Fakultät für Mathematik, Universität Magdeburg, D-39016, Magdeburg, Germany aut NATIONALLICENCE 700 1- Pukelsheim Friedrich Institut für Mathematik, Universität Augsburg, D-86135, Augsburg, Germany aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/2(1996-06-01), 395-402 0020-3157 48:2<395 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer