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Table 1 Mean (\({\overline{\text {x}}}\)), standard deviation (s), minimum (min) and maximum (max) of the regression coefficients

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

Coefficient

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

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

\(\overline{\text {x}}\)

s

Min

Max

mean

s

Min

Max

Sire

0.492

0.065

0.000

0.764

Ran

0.018

0.028

0.000

0.337

0.022

0.035

0.000

0.413

Mean

0.435

0.085

0.034

1.000

0.891

0.077

0.389

1.000

Sire

0.492

0.091

0.000

0.831

Ran

0.036

0.054

0.000

0.478

0.042

0.063

0.000

0.535

Mean

0.363

0.139

0.000

1.000

0.789

0.141

0.000

1.000

Sire

0.492

0.119

0.000

0.904

Ran

0.050

0.074

0.000

0.548

0.059

0.087

0.000

0.773

Mean

0.308

0.177

0.000

1.000

0.704

0.197

0.000

1.000

  1. 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. sire: statistics for the coefficients regressing the focused animal on the genotype of the true sire. mean: statistics for the coefficients regressing the focused animal on the vector of expected gene contents. ran: statistics for the coefficients regressing the focused animal on randomly selected animals. The number of random animals was 4 when the sample of putative parents contained the true sire, and 5 otherwise