Construction of partial triallel crosses (ptc) using a class of balanced incomplete block designs (BIBD)

Ponnuswamy, K.; Srinivasan, M. R.

doi:10.1080/03610929108830704

Cited by 10 publications

(2 citation statements)

References 4 publications

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“…Weatherspoon (1970) recommended usage of triallel crosses as they are more uniform, high yielding and stable than the diallel cross hybrids. Ponnuswamy (1991) gave a method of constructing designs for triallel cross.…”

Section: Resolvable Mating-environmental Designs For Partial Triallel Cross Experimentsmentioning

confidence: 99%

Resolvable mating-environmental designs for partial triallel cross experiments

Harun¹,

Varghese²,

Jaggi³

et al. 2021

Indian J. Genet

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Triallel crosses can be readily exploited as breeding tool for developing commercial hybrids with traits of genetical and commercial importance by acquiring information on specific combining ability effects along with general combining ability effects if the experimentation size is reduced to an economical extent. In this paper, methods of constructing designs involving partial triallel crosses in smaller blocks using different types of lattice designs have been introduced. The designs have low degree of fractionation, which suggests their utility when there is a resource crunch. Canonical efficiency factor of these designs relative to an orthogonal design with same number of lines, assuming constant error variance for both situations, is high indicating that adoption of these designs for the trials could bring about improvement as the recommendations from the experiment will be associated with a high precision.

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Section: Resolvable Mating-environmental Designs For Partial Triallel Cross Experimentsmentioning

confidence: 99%

Resolvable mating-environmental designs for partial triallel cross experiments

Harun¹,

Varghese²,

Jaggi³

et al. 2021

Indian J. Genet

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“…For such situations, Hinkelmann [6] developed partial triallel crosses (PTC) involving only a sample of all possible crosses by establishing a correspondence between PTC and generalized partially balanced incomplete block designs (GPBIBD). Ponnuswamy & Srinivasan [7] and Subbrayan [8] obtained PTC using a class of balanced incomplete block (BIB) designs. Dharmlingum [9] also constructed PTC using Trojan squares.…”

Section: Introductionmentioning

confidence: 99%

A Note on Optimal Partial Triallel Cross Designs

Pandey

2018

BBOAJ

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Two simple alternative methods of construction of optimal partial triallel cross designs (unblocked and blocked) for p>3 lines are proposed by using transversal and parallel transversals of a Latin square of order p, where p is a prime or power of a prime. Sharma et al. [1] and Sharma & Fanta [2] also constructed these designs by using two mutually orthogonal Latin squares but we constructed these designs only taking one Latin square. Therefore our methods are simple in comparison to their methods. These designs are found to be optimal in the sense of Kiefer [3] and Das & Gupta [4].

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Method of Construction of Partial Tetra‐Allel Crosses and Its Analysis

1994

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The present paper deals with a method of construction of Partial Tetra-allel Crosscs (PTAC) through Doubly Balanced Incomplete Block Designs (DBIBD) and its analysis by explicit expressions of symmetric sums approach. We have also established an inequality for the estimability of individual design components of variance in the Hinkelmann's double crosses model. A simulation study has been carried out to compare the precision of the estimates of genetic components of variana based on the two diIferenf PTAC with same experimental size. A list of DBIBDs will be useful in the construction of PTAC has given in the appendix.

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Construction of partial triallel crosses (ptc) using a class of balanced incomplete block designs (BIBD)

Cited by 10 publications

References 4 publications

Resolvable mating-environmental designs for partial triallel cross experiments

Resolvable mating-environmental designs for partial triallel cross experiments

A Note on Optimal Partial Triallel Cross Designs

Method of Construction of Partial Tetra‐Allel Crosses and Its Analysis

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