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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 76 (1988), S. 467-472 
    ISSN: 1432-2242
    Keywords: Selection ; Embryo development ; Embryo culture ; Mice
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Replicated divergent selection was conducted for two generations in ICR mice for in vitro developmental capacity (IVDC; percentage of fertilized one-cell zygotes developing to blastocysts in vitro per female donor). Realized heritabilities based on high and low selection were 0.03±0.08 and −0.11±0.09 in replicate 1, and 0.10±0.11 and 0.08±0.10 in replicate 2. No differences were detected between selection lines (P〉0.2) or replicates (P〉0.1). Estimate of heritability in the base population based on 332 daughter-dam pairs was 0.14±0.18. These results indicate that additive genetic variance contributes little to the phenotypic variance in this trait. Considerable phenotypic variation in IVDC was observed (mean=49.3; SD=31.0), with a range of IVDC from 0%–100%. Utilization of donor female as a blocking factor is suggested for designs of experiments with preimplantation embryos to increase precision and power of statistical analyses.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 85 (1992), S. 79-88 
    ISSN: 1432-2242
    Keywords: Intraclass correlation ; Negative estimate ; Restricted maximum likelihood
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary At least two common practices exist when a negative variance component estimate is obtained, either setting it to zero or not reporting the estimate. The consequences of these practices are investigated in the context of the intraclass correlation estimation in terms of bias, variance and mean squared error (MSE). For the one-way analysis of variance random effects model and its extension to the common correlation model, we compare five estimators: analysis of variance (ANOVA), concentrated ANOVA, truncated ANOVA and two maximum likelihood-like (ML) estimators. For the balanced case, the exact bias and MSE are calculated via numerical integration of the exact sample distributions, while a Monte Carlo simulation study is conducted for the unbalanced case. The results indicate that the ANOVA estimator performs well except for designs with family size n = 2. The two ML estimators are generally poor, and the concentrated and truncated ANOVA estimators have some advantages over the ANOVA in terms of MSE. However, the large biases may make the concentrated and truncated ANOVA estimators objectionable when intraclass correlation (ϱ) is small. Bias should be a concern when a pooled estimate is obtained from the literature since ϱ〈0.05 in many genetic studies.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 60 (1981), S. 151-156 
    ISSN: 1432-2242
    Keywords: Estimation ; Repeatability ; Linear models Multivariate analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Analysis of variance and principal components methods have been suggested for estimating repeatability. In this study, six estimation procedures are compared: ANOVA, principal components based on the sample covariance matrix and also on the sample correlation matrix, a related multivariate method (structural analysis) based on the sample covariance matrix and also on the sample correlation matrix, and maximum likelihood estimation. A simulation study indicates that when the standard linear model assumptions are met, the estimators are quite similar except when the repeatability is small. Overall, maximum likelihood appears the preferred method. If the assumption of equal variance is relaxed, the methods based on the sample correlation matrix perform better although others are surprisingly robust. The structural analysis method (with sample correlation matrix) appears to be best.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 82 (1991), S. 421-424 
    ISSN: 1432-2242
    Keywords: Intraclass correlation ; Maximum likelihood estimator ; Bias
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary A bias correction was derived for the maximum likelihood estimator (MLE) of the intraclass correlation. The bias consisted of two parts: a correction from MLE to the analysis of variance estimator (ANOVA) and the bias of ANOVA. The total possible bias was always negative and depended upon both the degree of correlation and the design size and balance. The first part of the bias was an exact algebraic expression from MLE to ANOVA, and the corrected estimator by this part was ANOVA. It was also shown that the first correction term was equivalent to Fisher's reciprocal bias correction on hisZ scores. The total possible bias of MLE was large for small and moderate samples. Relative biases were larger for small parametric values and vice versa. To ensure a relative bias less than 10% assuming an intraclass correlation of 0.025, which is not unusual in most of the animal genetic studies, the total number of observations (N) should be not less than 500. From a design point of view, minimum bias occurred atn = 2, the minimum family size possible, underN fixed.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Theoretical and applied genetics 45 (1974), S. 26-31 
    ISSN: 1432-2242
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Correlated responses in caudal vertebrae number (VN), lengths of eighth and ninth caudal vertebrae (V8 and V9, respectively), femur length (FL) and femur weight (FW) were evaluated in lines of mice which had been selected for six-week body weight (WK6) and/or six-week tail length (TAIL). Ten males and ten females were randomly sampled from each of ten selected lines (two replicates each of five selection treatments) after seven generations of selection. Sexes and lines were significant (P 〈 .01) sources of variation in all seven traits. Sex x line interactions were unimportant except for V8 and V9. Male mice of both replicate lines selected for increased WK6 and decreased TAIL had shorter vertebrae than females, whereas the reverse was true for all other lines. Multiple regression and canonical correlation analyses indicated a high phenotypic relationship of FL with both WK6 and TAIL. Examination of the correlated responses indicated that FL was the only skeletal trait that showed a substantial correlated response to single trait selection for both WK6 and TA IL. Thus, the genetic relationships among the three traits also appeared to be high. Between replicate variation was not significant for randomly selected control lines. However, about onethird of the statistical tests between selected replicates were significant. This was taken to indicate a joint effect of selection and drift in causing variation between replicate lines. Replicate variation was further examined by canonical variate and generalized distance analyses. The first two canonical variates accounted for most of the generalized variance. Graphically, the first two canonical variables discriminated among selection treatments, whereas the replicates tended to cluster. Thus, although between replicate differences were significant for several traits, the differences were relatively small compared with the variation between lines having different selection criteria.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1432-2242
    Keywords: Response to selection ; Landrace pigs ; Litter size ; Bayesian analysis ; Gibbs sampler
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract A replicated selection experiment aimed at increasing litter size (total number of pigs born per litter) in Danish Landrace pigs was conducted from 1984 to 1991. The experiment included two selection and two control lines. In each generation, 30 and 14 first litters were produced in selection and control lines, respectively, and dams produced two litters. Each replicate, consisting of one selection and one control line, was founded from 60 families chosen randomly from the population at large. Family selection was practiced, and the criterion was the predicted breeding value for litter size computed using a repeatability animal model, and taking into account all available information. The data consisted of 947 records from 523 dams (424 dams had two litters) representing five cycles of selection of increased litter size. Data were analyzed from a Bayesian perspective, based on marginal posterior distributions of genetic parameters of interest. Marginalization was achieved using Gibbs sampling, with a single chain length of 1 205 000. After discarding the first 5 000 iterations, a sample was drawn every ten iterations, so 120 000 samples in total were saved. Densities were estimated and plotted, and summary statistics were computed from the estimated densities. The posterior means (± standard error) of heritability and repeatability were 0.22 ± 0.06 and 0.32 ± 0.05, respectively. These point estimates of genetic parameters were within the range of literature values, although on the high side. The posterior mean (± standard error) of genetic response to selection, defined as the difference between the mean breeding values of the selected lines and that of the base population, was 1.37 ± 0.43 pigs after five cycles of selection. The regression (through the origin) of breeding values in the selected lines on generation was 0.25 ± 0.08 pigs. Several informative priors constructed from information obtained with field data in this population were used to examine their influence on inferences. The priors were influential because of the relatively small scale of the experiment. An analysis excluding data from one of the control lines gave smaller genetic variance and heritability, and a smaller response to selection. However, it appears that selection for litter size is effective, but that the true rate of response is probably smaller than data from this experiment suggest.
    Type of Medium: Electronic Resource
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