Some new group divisible designs

John, J. A.; Turner, Geoffrey J.

doi:10.1016/0378-3758(77)90009-x

Cited by 26 publications

(8 citation statements)

References 3 publications

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“…Most of the partially balanced designs given by Clatworthy (1973) can be written as generalized cyclic designs. More recently, John & Turner (1977) and Freeman (1976) have given further examples of group divisible designs obtained in this way. More recently, John & Turner (1977) and Freeman (1976) have given further examples of group divisible designs obtained in this way.…”

Section: Discussionmentioning

confidence: 99%

Generalized Cyclic Incomplete Block Designs

Jarrett¹,

Hall²

1978

Biometrika

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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. Biometrika Trust is collaborating with JSTOR to digitize, preserve and extend access to Biometrika.A wide class of incomplete block designs based on cyclic methods of construction is defined when the number of treatments can be factorized. The designs have a concise representation and the reduced normal equations can be constructed and solved by a unified method. Procedures are outlined for producing designs with good statistical properties.

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Section: Discussionmentioning

confidence: 99%

Generalized Cyclic Incomplete Block Designs

Jarrett¹,

Hall²

1978

Biometrika

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“…In Table 1, group divisible designs with S, S R and R numbers, B numbers, D numbers, J numbers, F numbers, and SN numbers are from Clatworthy (1973), Bhagwandas and Parihar (1980), Dey (1977), John and Turner (1977), Freeman (1976), and Sinha (1987) respectively. …”

Section: Please Scroll Down For Articlementioning

confidence: 99%

C365. Some newE- andMV-optimal group divisible designs with unequal block sizes

Sinha

1990

Journal of Statistical Computation and Simulation

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“…In the remaining sections, apart from those designs (06527) 14 5 10 (0 1 2 4 6) (0 1 4 7 9) 0-8601 10 B71 (08552) whose duals have concurrences differing by more than one, the difference between the efficiency factor and the upper bound shows that the designs are close to the best possible. These partially balanced designs are given by Clatworthy (1973), with the exception of Section C2, v = 24 for which the corresponding partially balanced design is Design 3 of John & Turner (1977). In four of these cases, designs whose duals are balanced or partially balanced and which have optimal efficiency factor are known.…”

Section: The Tablesmentioning

confidence: 99%