Optimal block designs for diallel crosses

Dey, A.; Midha, Chand K.

doi:10.1093/biomet/83.2.484

Cited by 37 publications

(18 citation statements)

References 5 publications

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“…Most of the theory of optimal diallel cross designs is based on standard linear model assumptions where the general combining ability effects are taken as fixed and the primary interest lies in comparing the lines with respect to their general combining ability effects. Under such a model, among others, (Gupta and Kageyama 1994, Dey and Midha 1996, Mukerjee 1997, Das et al 1998, Ghosh and Das 2004) have characterized and obtained optimal completely randomised designs and incomplete block designs for diallel crosses. Jakubec et al, (1987) most importantly developed and evaluated three models for the analysis of complete (full) diallel crosses in animal breeding, derived from (Gardner and Eberhart 1966), (Harvey 1960) and (Griffing 1956) models, which is advantageous when the parental population is small and most efficient as it gives detailed information about crossbreeding parameters.…”

Section: Estimation Of Genetic Effects From Diallel Crossmentioning

confidence: 99%

Diallel cross in swine production: A review

Okoro

Mbajiorgu

2017

IJAR

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A review of diallel cross and its influence on different genetic and crossbreeding parameters derived in swine production is attempted following its application by various researchers. With different genetic models developed by different researchers from the 1950's till date, diallel cross methodology and its application in animal breeding, particularly in swine improvement has experienced many modifications and technical innovations derived and developed. The genetic gains derived from diallel cross have two major sources viz. additive (direct and maternal) and dominance genetic effects. The practical importance of these two sources is evaluated, through estimates of average direct genetic, average maternal genetic, general combining ability, specific combining ability, reciprocal, direct heterotic and maternal heterotic effects. In the case of significant reciprocal effect; sex-linked and autosomal effects can be estimated. This review paper tries to cover the different approaches used in optimization of diallel crossing between different available pig breeds in terms of the crossbreeding parameters, as well as the findings of various studies using diallel cross aimed at swine production and improvement.

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Section: Estimation Of Genetic Effects From Diallel Crossmentioning

confidence: 99%

Diallel cross in swine production: A review

Okoro

Mbajiorgu

2017

IJAR

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“…Under the fixed effects model, Gupta & Kageyama (1994), Dey & Midha (1996) and Das, Dey & Dean (1998) have obtained universally optimal (and hence E-optimal) diallel cross designs. It thus follows that their designs are D l -optimal under our setup.…”

Section: Optimal Designsmentioning

confidence: 99%

“…Most of the theory of optimal diallel cross designs is based on standard linear model assumptions where the general combining ability effects are taken as fixed and the primary interest lies in comparing the lines with respect to their general combining ability effects. Under such a model, among others, Gupta & Kageyama (1994), Dey & Midha (1996), Mukerjee (1997), Das, Dey & Dean (1998) and Das, Dean & Gupta (1998) have characterised and obtained optimal completely randomised designs and incomplete block designs for diallel crosses. In many practical situations, the fixed effects assumption may not be tenable when one is studying only a sample of inbred lines from a possibly large hypothetical population.…”

Section: Introductionmentioning

confidence: 99%

Optimal diallel cross designs for the interval estimation of heredity

Ghosh

Das

2004

Statistics & Probability Letters

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SummaryThe results on optimal diallel cross designs are based on standard linear model assumptions where the general combining ability effects are taken as fixed. In many practical situations, this assumption may not be tenable since often one studies only a sample of inbred lines from a possibly large hypothetical population. A random effects model is proposed in this paper that allows us to obtain an interval estimate of a ratio of the variance components. We address the issue of optimal designs by considering the D l -optimality criteria. Designs that are D l -optimal for the estimation of heredity are obtained in the sense that the designs minimize the maximum expected length of the h confidence intervals. The approach leads to certain connections with the optimization problem under the fixed effects model.

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“…Gupta and Kageyama [5], Dey and Midha [6], and Das et al [7] investigated the issue of optimality of complete diallel crosses. When p, is large, or reciprocal crosses are similar to direct crosses it becomes impractical to carry out an experiment using a complete diallel cross design.…”

Section: Introductionmentioning

confidence: 99%

Griffing’s Methods Comparison for General and Specific Combining Ability in Cucumber

Olfati¹,

Samizadeh²,

Rabiei³

2011

J Biomet Biostat

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A comparison among two forms of half-diallel analysis was made. The different half-diallel techniques used were Griffing's model I, method 2 and 4. These methods of diallel analysis were found to be interrelated. However, as Griffing's model I, method 4 partitioned heterosis into different components as well as gave information about combining ability and this method had certainly some advantages over the other. The results further indicated using parental generations in the second Griffing method may cause biased estimate of the GCA and SCA variances. Thus, using the fourth Griffing method is more suitable than the other methods in providing time, cost, and facilities, and it is recommended as an applicable method.

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Optimal block designs for diallel crosses

Cited by 37 publications

References 5 publications

Diallel cross in swine production: A review

Diallel cross in swine production: A review

Optimal diallel cross designs for the interval estimation of heredity

Griffing’s Methods Comparison for General and Specific Combining Ability in Cucumber

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