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Table 2 Power of assignment (Pa) and power of exclusion (Pe)

From: On marker-based parentage verification via non-linear optimization

Algorithm

\(\hbox {X}_{\mathrm{sire}}\)

\(\hbox {X}_{\mathrm{ran}}\)

Pa

Pe

Pa

Pe

\(\text {CGR}_\mathrm{T}\)

0.990 (14,664)

1.000 (1)

–

1 (4)

\(\text {CGR}_\mathrm{R}\)

0.994 (14,730)

0.997 (86)

–

–

OHL counting

0.993 (14,717)

0.997 (99)

–

–

LH

0.995 (14,744)

1.000 (5)

–

1 (0)

\(\text {CGR}_\mathrm{T}\)

0.969 (14,361)

0.999 (15)

–

0.997 (96)

\(\text {CGR}_\mathrm{R}\)

0.993 (14,711)

0.996 (105)

–

–

OHL counting

0.992 (14,699)

0.996 (117)

–

–

LH

0.995 (14,735)

0.993 (213)

–

1.000 (0)

\(\text {CGR}_\mathrm{T}\)

0.918 (13,607)

0.991 (252)

–

0.968 (960)

\(\text {CGR}_\mathrm{R}\)

0.983 (14,570)

0.992 (246)

–

–

OHL counting

0.978 (14,489)

0.989 (327)

–

–

LH

0.988 (14,639)

0.954 (1373)

–

0.999 (40)

  1. The numerator of the related equations is given in brackets. Number of SNPs used as genotypes: upper part = 500 SNPs, middle part = 100 SNPs and lower part = 50 SNPs. \(\hbox {X}_{\mathrm{sire}}\): the sample of the putative parents contained the true sire, four randomly selected animals and the vector of expected gene contents. \(\hbox {X}_{\mathrm{ran}}\): the sample of the putative parents contained five randomly selected animals and the vector of expected gene contents. Pa: probability of assigning the right parent if the sample of putative parents contained the true sire. Pe: probability of rejecting the wrong parent in favour of the right parent or the vector of expected gene contents. SNPs were randomly selected from 40k genotypes with the sample space for the 100 and 50 sets restricted to those SNPs with a minor allele frequency \({>}0.3\)
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Genetics Selection Evolution

ISSN: 1297-9686