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Table 5 Estimated thresholds for each genotype and resulting distribution, mean and variance of litter size (LS) according to the parameters η and σ 2 of the underlying variable

From: Effects of the FecL major gene in the Lacaune meat sheep population

Estimated thresholds

++

++*

L+

L+*

τ1

-0.287

-0.849

τ2

1.581

0.539

τ3

2.711

1.691

Underlying variable parameters

    

η

0

0.86

0

-0.70

σ2

1

1

1

1

Resulting parameters on the observable scale

    

μobs

1.67

2.14

2.14

1.67

σ2obs

0.35

0.44

0.61

0.47

%LS1

38.71

12.56

19.79

44.23

%LS2

55.60

63.88

50.71

45.07

%LS3

5.36

20.34

24.95

9.87

%LS4+

0.34

3.21

4.54

0.83

  1. Values in columns ++ and L + correspond to the output of the threshold model: thresholds (τ1- τ3), mean and variance of the underlying variable (η, σ2) and the resulting mean and variance (μobs, σ2obs) of the litter size percent (%LS1 - %LS4+) on the observable scale. Values for ++* and L + * columns correspond to the ++ and L + thresholds and a shift of the mean η of the underlying variable which would provide mean of L + and ++ LS on the observable scale, respectively.