Table 2 Best subset model regression coefficients and p values of selected variables using a significance level of 0.1.

From: Factorial design analytics on effects of material parameter uncertainties in multiphysics modeling of additive manufacturing

Terms

Include?

Regression coefficients

(Intercept)

TRUE

1.05839E−01***

PA

TRUE

2.69350E−02***

λ

TRUE

−2.08196E−03***

μ

TRUE

−9.61593E−04***

γ

TRUE

1.14047E−04*

−dγ/dT

TRUE

2.26852E−04***

\({P}_{\rm{A}}\,*\,\lambda\)

FALSE

0

\({P}_{A}\,*\,\mu\)

TRUE

4.53708E−04***

\({P}_{\rm{A}}\,*\,\gamma\)

TRUE

2.44496E−04***

\({P}_{\rm{A}}\,*\, - \, {\rm{d}}\gamma/{\rm{dT}}\)

TRUE

3.08903E−04***

\(\lambda\,*\,\mu\)

TRUE

−3.96380E−04***

\(\lambda \, *\, \gamma\)

TRUE

−3.77203E−04***

\(\lambda\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

−5.63809E−04***

\(\mu\,*\,\gamma\)

FALSE

0

\(\mu\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

FALSE

0

\(\gamma\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

FALSE

0

\({P}_{\rm{A}}\,*\,\lambda\,*\,\mu\)

TRUE

1.86421E−04**

\({P}_{\rm{A}}\,*\,\lambda\,*\,\gamma\)

FALSE

0

\({P}_{\rm{A}}\,*\,\lambda\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

6.75741E−04***

\({P}_{\rm{A}}\,*\,\mu\,*\,\gamma\)

TRUE

−1.55266E−04**

\({P}_{\rm{A}}\,*\,\mu\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

2.25628E−04***

\({P}_{\rm{A}}\,*\,\gamma\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

2.24396E−04***

\(\lambda\,*\,\mu\,*\,\gamma\)

TRUE

2.93934E−04 ***

\(\lambda\,*\,\mu\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

2.92017E−04***

\(\lambda\,*\,\gamma\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

−1.42671E−04**

\(\mu\,*\,\gamma\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

−3.14491E−04***

\({P}_{\rm{A}}\,*\,\lambda\,*\,\mu\,*\,\gamma\)

TRUE

2.22234E−04***

\({P}_{\rm{A}}\,*\,\lambda\,*\,\mu\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

−2.71283E−04***

\({P}_{\rm{A}}\,*\,\lambda\,*\,\gamma\,*\,-{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

8.13880E−04***

\({P}_{\rm{A}}\,*\,\mu\,*\gamma\,*\,-\,{\rm{d}}\gamma/{\rm{dT}}\)

TRUE

−1.59792E−04**

\(\lambda\,*\,\mu\,*\,\gamma\,*\,-\,{\rm{d}}\gamma/{\rm{dT}},\)

TRUE

1.05624E−03***

Adj. R2

0.99988206

 

***p < 0.01; **p < 0.05; *p < 0.1.

Standard error = 0.00005287

for all coefficient estimates