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. 2022 Oct 1;12(19):2641. doi: 10.3390/ani12192641

Table 5.

Analysis of variance of a regression model based on in vitro dry matter digestibility (y2).

Variables Sum of Squares Degrees of Freedom Mean Square 1 Partial Correlation F-Value 2 p-Value
X1 0.8406 1 0.8406 0.4857 4.0143 0.0664
X2 0.8740 1 0.8740 0.4930 4.1741 0.0619
X3 0.9753 1 0.9753 0.5136 4.6578 0.0502
X1 2 2.6006 1 2.6006 0.6990 12.4197 0.0037
X2 2 6.1470 1 6.1470 0.8325 29.3565 0.0001
X3 2 14.1505 1 14.1505 0.9158 67.5797 0.0001
X1X2 1.3448 1 1.3448 0.5750 6.4225 0.0249
X1X3 0.1012 1 0.1012 0.1894 0.4835 0.4991
X2X3 0.3872 1 0.3872 0.3529 1.8492 0.1970
Regression 27.1532 9 3.0170 F2 = 14.40859 0.0002
Remainder 2.7221 13 0.2094
Misfit 1.1025 5 0.2205 F1 = 1.08921 0.4114
Error 1.6196 8 0.2024
Sum 29.8752 22

1 MS, mean square values. 2 A preliminary determination of the suitability of the selected regression model was made according to the misfit test of equation (F1 = MSmisfit/MSerror). The significance test of the regression equation was measured by F2, which equated to the ratio of MSregression to MSremainder. The significant difference between the regression model and the coefficient was evaluated by the F test, and p < 0.05 was considered significant.