On construction of constant block-sum partially balanced incomplete block designs

Khattree, Ravindra

doi:10.1080/03610926.2019.1576895

Communications in Statistics - Theory and Methods

2019

DOI: 10.1080/03610926.2019.1576895

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On construction of constant block-sum partially balanced incomplete block designs

Ravindra Khattree

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Cited by 9 publications

References 8 publications

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Nearly magic rectangles

Chai

Singh

Stufken

2019

J of Combinatorial Designs

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Magic squares have been extremely useful and popular in combinatorics and statistics. One generalization of magic squares is magic rectangles which are useful for designing experiments in statistics. A necessary and sufficient condition for the existence of magic rectangles restricts the number of rows and columns to be either both odd or both even. In this paper, we generalize magic rectangles to even by odd nearly magic rectangles. We also prove necessary and sufficient conditions for the existence of a nearly magic rectangle, and construct one for each parameter set for which they exist.

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Nearly magic rectangles

Chai

Singh

Stufken

2019

J of Combinatorial Designs

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Some Results on the Existence or Nonexistence of Constant Block-sum Triangular and Other Related Designs

Bansal

Garg²,

Khattree³

2022

J Stat Theory Pract

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Constant and Nearly Constant Block-Sum Partially Balanced Incomplete Block Designs and Magic Rectangles

Khattree

2022

J Stat Theory Pract

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On construction of constant block-sum partially balanced incomplete block designs

Cited by 9 publications

References 8 publications

Nearly magic rectangles

Nearly magic rectangles

Some Results on the Existence or Nonexistence of Constant Block-sum Triangular and Other Related Designs

Constant and Nearly Constant Block-Sum Partially Balanced Incomplete Block Designs and Magic Rectangles

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