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. 2020 Jul 28;99(8):3921–3929. doi: 10.3382/ps/pez006

Table 8.

Dose response regressions for Chinese Yellow broiler breeder hens fed diets with different iron content.

Variable Model Regression equation1 Maximum dietary Fe response, mg/kg P-value R2
Hematocrit, % QP2 Y = 8.46 + 0.583 × X − 0.003627 × X2 80.4 0.002 0.407
2-slope BL3 Y = 22.1 + 0.126 × X (X ≤ 86.4) 86.4 <0.001 0.475
Y = 52.3 − 0.224 × X (X > 86.4)
Tibial breaking strength, kgf QP Y = 2.68 + 0.725 × X − 0.00469 × X2 77.4 0.044 0.229
2-slope BL Y = 20.0 + 0.139 × X (X ≤ 89.0) 89.0 0.015 0.294
Y = 71.5 − 0.439 × X (X > 89.0)
Hatchability of live embryos, % QP Y = 53.5 + 0.834 × X − 0.00461 × X2 90.5 0.019 0.291
BL with plateau4 Y = 65.3 + 0.354 × X (X ≤ 72.0) 72.0 0.009 0.337
Y = 90.8 (X > 72.0)
1

Regression equations obtained using the analyzed Fe in the trial diets (44, 58, 72, 86, and 100 mg/kg).

2

QP: Quadratic polynomial; QP model: Y = α + β × X + γ × X2, where Y is the response variable, X is the dietary Fe, α is the intercept; β and γ are the linear and quadratic coefficients respectively. The maximal response was obtained by – β / (2 × γ).

3

BL: Broken line; 2-slope BL model: Y = α + β × Fe, Fe ≤ γ; Y = δ + ϵ × Fe, Fe > γ, where Y is the response variable, X is the dietary Fe, both α and δ are intercepts, and both β and ϵ are slopes of lines. The Fe level at the break point (γ) was considered as the one providing the maximal response.

4

BL with plateau model: Y = α + β × Fe, Fe ≤ γ; Y = α + β × γ, Fe > γ, where Y is the response variable, X is the dietary Fe, α is the intercept, β is the slope of line, the value (α + β × γ) is the plateau. The Fe level at the break point (γ) was considered as the one providing the maximal response.