Application of Cyclic Collineations to the Construction of Balanced $L$-Restrictional Prime Powered Lattice Designs

Raktoe, B. L.

doi:10.1214/aoms/1177698781

Cited by 7 publications

(6 citation statements)

References 5 publications

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“…The ideas in this section will be highly correlated with the results of a paper by Raktoe [1967] and Federer and Raktoe [1965]. For the sm symmetrical factorial the treatment combinations when identified with a set of v = sm varieties or .i:;I,'eatmeBts lead to de §igns known in the literature as pseudofactorial of lattice designs.…”

Section: Mixed Lattice Designsmentioning

confidence: 75%

“…Elimination ·Of block heterogeneity can be combined with these designs to ·produce in general t-restrictional lattices. Using the notation of Raktoe [1967], we may define the £-restrictional lattice design 2 ) and not the PG (3,2). · A balanced t-restrictional symmetrical lattice design is a minimal set of confounding schemes such that each of the (sm:"l)/(s-l) pseudo-effects is confounded an eq_ual number of times in each of the t~reatrictions.…”

Section: Mixed Lattice Designsmentioning

confidence: 99%

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CONSTRUCTION OF CONFOUNDED MIXED FACTORIAL AND MIXED LATTICE DESIGNS^1,3

Baktoe

Fédérer

1972

Australian Journal of Statistics

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AESTRACTThis paper extends metQods of constructing confounded and lattice designs for the symmetrical factorial to the asymmetrical or mixed factorial. Beside providing unifying techniques some enumeration results are also given along with a fully discussed non-trivial example. In bringing about this extension and unification the usual Galois field theory was modified to ring theory; cyclic collineations as used in £-restrictional lattice designs were adapted to the mixed factorial case.

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Section: Mixed Lattice Designsmentioning

confidence: 75%

Section: Mixed Lattice Designsmentioning

confidence: 99%

CONSTRUCTION OF CONFOUNDED MIXED FACTORIAL AND MIXED LATTICE DESIGNS^1,3

Baktoe

Fédérer

1972

Australian Journal of Statistics

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“…Other work ITas been directed at providing a more tractable method of calculating confidence bounds than that of El Mawaziny's generalization to k subsystems, k>2, of the Lentner-Buehler bounds which apply to 2 subsystems only (see E1 Mawaziny and Buehler (12), Sarkar (41) and Grubbs (21)]. The method suggested by El Mawaziny and Buehler depends upon large-sample theory and the others use the fact that a function of the estimator of subsystem mean-time-to-failure has a chi-square distribution.…”

Section: Rimentioning

confidence: 99%

“…Some rather limited numerical comparisons have been made of some of these non-optimal methods for obtaining confidence bounds by, for example, Sarkar (41) and Grubbs (21).…”

Section: Rimentioning

confidence: 99%

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Proceedings of the Conference on the Design of Experiments (15th) in Army Research Development and Testing

NC¹

1970

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OCT 12 WO J n dam-,at is m~bIW to ofptm wlamd a&k ftemm to femift agovwuwtm of forC~ alm""" my bend t bstD Theo AW• in th wP' an not to be wedra mt = 94W o D$al • of Um Ar=7 poddou, Uaka so dedem by SO "tbwmiw dommoL. Due to various output media available these conditions may or may not cause poor legibility in the microfiche or hardcopy output you receive. Sponsored by IIf this block is checked, the copy furnished to DTIC contained pages with color printing, that when reproduced in Black and White, may change detail of the original copy. Mathematics Steering Committee (AMSC), the sponsor of this series of conferences. Dr. McDaniel, when made aware of this situation, was willing for the Committee to treat his request to hold the conference as a standing invitation. Members of the AMSC were very pleased to hear this and then discussed with him the possibility of holding the Fifteenth Conference at Redstone Arsenal.These negotiations were brought to a successful conclusion; and, on 29 November 1968, Major General Charles W. Eifler issued a formal invitation to host this conference at his command on 22-24 October 1969. He appointed Dr. Siegfried Lehnigk to serve as Chairman on Local Arrangements and Mr. Raymond V. Knox to handle administrative requirements.MICOM had already served as the host to the Ninth Conference in this series.It is interesting to note that Dr. Lehnigk, as well as Henry A. Dihm, and W. H. Ewart served as members of the Local Arrangements Committee for the Ninth Conference, as well as the Fifteenth Conference.Those in attendance at this 22-24 October meeting are much in debt to these gentlemen, as well as to many others at Redstone Arsenal, for the excellent handling of the many detalls connected with a meeting of this size. Everyone had the opportunity to hear the above-mentioned talks, as they were given in general sessions. Unfortunately, one was not privileged Lo hear all of the thirty-two contributed papers. These covered a wide range of interesting statistical problems and had to be scheduled soLhat three talks were conducted simultaneously. Following the banquet, it was my privilege to award the Fifth Samuel S. Wilks Memorial Medal, sponsored by the American Statistical Association and the Army, to Dr. W. J. Youden.Details of this presentation are included in these Proceedings.This conference was attended by 156 scientists; and 52 organizations were represented.Speakers and panelists came from: Boeing Scientific Research Laboratories; Cornell University; Honeywell, Inc.; Litton Systems, Inc.; National Aeronautics and Space Administration; National Institutes of Health; North Carolina State University; Princeton University; Rocketdyne; University of Alabama; University of Georgia, University of Michigan; University of Wisconsin; Vanderbilt University; Virginia Polytechnic Institute; and, 12 Army facilities.Members of the AMSC would like to express their thanks to the many speakers, chairmen and panelists for all their efforts in behalf of this important scientific meeting. Most of the pape...

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