TABLE 1

Reduction in average loss (PRIAL, in percent), for estimates of the genetic (Embedded Image), error (Embedded Image), and phenotypic (Embedded Image) covariance matrix together with mean entropy loss (×100) in unpenalized REML estimates of Embedded Image, the proportion of replicates (W, in percent) for which penalized estimation increased the loss in Embedded Image, and the mean tuning factor (ψ), for different constellations (A,…, K) of population values (λi, canonical heritabilities) and penalties on the original (ORG) or logarithmic (LOG) scale

ABCDEFGHIJK
λ10.400.500.600.700.800.900.200.300.600.500.90
λ20.400.450.500.550.300.500.200.250.100.200.30
λ30.400.400.400.400.300.300.200.200.100.150.10
λ40.400.350.300.250.300.200.200.150.100.100.10
λ50.400.300.200.100.300.100.200.100.100.050.10
500 sires
Embedded Image131214241426294211416569
    ORG
        Embedded Image7952262717158653253814
        Embedded Image8348252424687235151245
        Embedded Image85220021100
        W001127218042108
        ψ984.7307.068.130.429.012.4991.6293.623.543.27.8
    LOG
        Embedded Image9151242839349350747463
        Embedded Image8649241220377734181629
        Embedded Image85211021000
        W0120291230131202
        ψ769.647.18.41.910.21.9369.010.42.72.31.7
200 sires
Embedded Image31323910937110114217531497357
    ORG
        Embedded Image9172485940349483324917
        Embedded Image8667434041687651211642
        Embedded Image86420−12200−1
        W0032201101143
        ψ921.3385.879.032.940.613.0962.8363.422.749.25.3
    LOG
        Embedded Image9171465956679583898385
        Embedded Image8768443137387752272736
        Embedded Image86421022110
        W00935019030102
        ψ388.265.210.22.77.62.0169.215.21.92.31.3
100 sires
Embedded Image7280123295108317466590930829702
    ORG
        Embedded Image9384757370479688355713
        Embedded Image8879646460617661312937
        Embedded Image87531−12211−1
        W001130600234
        ψ760.9445.3112.438.358.516.0854.4422.925.659.74.5
    LOG
        Embedded Image9384737476799892908487
        Embedded Image8879665852437863383832
        Embedded Image8753203211−1
        W0032801201041
        ψ194.472.513.03.86.72.192.423.01.72.41.2
  • Balanced paternal half-sib design is shown with 500, 200, or 100 sires and 10 progeny per sire.