• Title/Summary/Keyword: Hardy-Weinberg proportions

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Simulation study on the estimation of multinomial proportions

  • Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.2
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    • pp.411-417
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    • 2012
  • In this paper, we consider the estimation of multinomial proportions. Multinomial distribution is the most important multivaritate distribution. Estimation of multinomial parameters for multinomial distribution is widely applicable to many practical research areas including genetics. We investigated the properties of several frequency substitution estimates and derived the maximum likelihood estimate of multinomial proportions of Hardy Weinberg proportions. Phenotype and genotype frequencies of allele are used to the estimation of multinomial proportions. These estimates are then analyzed via numerical data. Small sample Monte Carlo simulation is conducted to compare considered estimates of multinomial proportions.

Bootstrap Confidence Intervals for a One Parameter Model using Multinomial Sampling

  • Jeong, Hyeong-Chul;Kim, Dae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.10 no.2
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    • pp.465-472
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    • 1999
  • We considered a bootstrap method for constructing confidenc intervals for a one parameter model using multinomial sampling. The convergence rates or the proposed bootstrap method are calculated for model-based maximum likelihood estimators(MLE) using multinomial sampling. Monte Carlo simulation was used to compare the performance of bootstrap methods with normal approximations in terms of the average coverage probability criterion.

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Association of Dopamine D4 Receptor(DRD4) Gene Polymorphism with Korean Schizophrenic Patients (정신분열병에서 도파민 D4 수용체(DRD4) 유전자의 다형성)

  • Lee, Hong Seock;Lee, Min Soo;Han, Deock-Jeong;Lee, Heon-Jeong
    • Korean Journal of Biological Psychiatry
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    • v.7 no.2
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    • pp.152-158
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    • 2000
  • Background : No association between schizophrenia and dopamine D4 receptor polymorphisms have been reported. Despite these results, it is premature to exclude the association. It has been suggested that the susceptibility to develop schizophrenia could result from variation at a number loci which may interact or coact with each other. Therefore, we investigated a possible association of combinations of exon III 48bp polymorphism[D4E3] and exon I 12bp polymorphism of the DRD4 gene [D4E1] with schizophrenia. Methods : 207 unrelated Korean schizophrenic patients and 191 healthy controls were recruited. DRD4 genotype was established using the polymerase chain reaction. Statistical analysis consisted of ${\chi}^2$ tests for Hardy-Weinberg proportions and genotypic and allelic frequencies in the patients and control groups. Results : There were no statistically significant differences in the each polymorphisms between schizophrenics and controls. And all genotype frequencies were within Hardy-Weinberg expectations. When the combinations of the polymorphism in schizophrenia and controls were compared, however, there were significant differences at $A1A2^*2/4$ in the distributions of the combinations of D4E1 and D4E3(p<0.01). Conclusions : These findings suggest that the certain combination of D4E1 and D4E3($A1A2^*2/4$) has the protective role to a susceptibility for schizophrenia.

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Molecular Characterisation of Nilagiri Sheep (Ovis aries) of South India Based on Microsatellites

  • Girish, Haris;Sivaselvam, S.N.;Karthickeyan, S.M.K.;Saravanan, R.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.5
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    • pp.633-637
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    • 2007
  • Genetic variation in Nilagiri sheep, the only apparel wool breed in South India was studied using 25 FAO recommended ovine-specific microsatellite markers. The number of observed alleles ranged from 3 to 8 with a mean of 5 across all loci. The size of alleles ranged from 72 to 228 bp. The frequency of alleles ranged from 0.0104 to 0.5781. In total, 125 alleles were observed at the 25 loci studied. The effective number of alleles ranged from 2.18 to 6.49. The mean number of effective alleles was 3.84 across all loci. All the 25 loci were found to be highly polymorphic. The PIC values ranged from 0.4587 to 0.8277 with a mean of 0.6485. Of 25 microsatellites studied, 17 were in Hardy-Weinberg Equilibrium proportions. The observed heterozygosity ranged from 0.4222 to 1.000 with a mean value of 0.7610 whereas the expected heterozygosity ranged from 0.5415 to 0.8459 with a mean value of 0.7213. Except six loci, the other loci revealed negative within-population inbreeding estimates (FIS) indicating excess of heterozygotes in the population of Nilagiri sheep.

Characterization of the Prolactin Receptor 3 (PRLR3) and Retinol-Binding Protein 4 (RBP4) Genes in the Birth Weight and Early Growth of Berkshire Pigs

  • Do, Chang-Hee;Lee, Dong-Hee;Cho, Byung-Wook
    • Journal of Animal Science and Technology
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    • v.53 no.3
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    • pp.185-193
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    • 2011
  • To investigate the influences of candidate genes on the birth weight and the early stages of life, genotyping of the prolactin receptor 3 (PRLR3) and retinol-binding protein 4 (RBP4) genes was performed in 156 and 141 Berkshire pigs, respectively. The frequency of both PRLR3 alleles A and a was 0.50. The frequencies of the RBP4 alleles B and b were 0.42 and 0.58, respectively. Neither locus was in Hardy-Weinberg equilibrium. No significant associations of the PRLR3 alleles with birth or weaning weights and of the RBP4 alleles with birth weight were observed. The proportions of the phenotype variances due to the genotypes of PRLR3 in the feeder weights was 4.0% and those of RBP4 in the weaning and feeder weights were 11.9 and 3.3%, respectively (P < 0.05). The dominance effect of PRLR3 and RBP4 on feeder weights was 2.40 and -1.86 kg, respectively (P < 0.01). The additive and dominance effects of RBP4 on weaning weights were 0.332 and -0.682 kg, respectively (P < 0.01). Even if no significant epistasis of PRLR3 and RBP4 was detected, a considerable trend of consistent positive epistasis estimates of AA/BB and Aa/Bb was observed for all traits. The results of this study may have a considerable impact on early-stage growth by both loci, and a selection strategy should be designed separately for each marker in Berkshire pigs.