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. 2023 Jun 7;13:9246. doi: 10.1038/s41598-023-36482-w

Table 7.

Analysis of variance (ANOVA) for angle of repose.

Source SS DF MNS F-value P-value
Model 2639.6 9 293.29 23.44  < 0.001**
X1 196.49 1 196.49 15.70 0.0016**
X2 488.08 1 488.08 39.00  < 0.001**
X3 1613.03 1 1613.03 128.90  < 0.001**
X1 X2 0.07 1 0.07 0.005 0.9429
X1 X3 0.23 1 0.23 0.018 0.8947
X2 X3 28.77 1 28.77 22.30 0.1534
X12 309.77 1 309.77 24.75 0.0003**
X22 14.51 1 14.51 1.16 0.3011
X32 8.42 1 8.42 0.67 0.4269
Residual 162.68 13 12.51 - -
Lack of Fit 157.79 5 31.56 51.73  < 0.001
Pure Error 4.88 8 0.61 - -

**Indicated the significant at P < 0.01. DF referred to degree of freedom; SS referred to sum of squares; DF referred to degree of freedom; MNS referred to mean square.