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International Journal of Interdisciplinary Research

Table 4 Coefficients for response surface equations for four input parameters

From: Development and comparison of artificial neural network and statistical model for prediction of thermo-physiological properties of polyester–cotton plated fabrics

 

Coefficients of \(x_{1} ,x_{2} ,x_{3} x_{4}\)

Parameters

Thermal resistance × 10−3 (Km2/W)

Thermal absorptivity (Ws1/2/m2K)

Air permeability (cm3/cm2/s)

Moisture vapour transmission rate (g/m2/24 h)

Linear terms

β o

constant

33.93

−27.92

221.67

52.81

β 1

x 1

86.42

608.91

1499.1

84.35

β 2

x 2

−609.08

−4400.8

−10,841

−602.47

β 3

x 3

1.01

2.58

5.22

−1.56

β 4

x 4

−12

22.31

70.28

3.21

Interaction terms

β 5

x 1 x 2

−53.93

401.82

979.64

55.20

β 6

x 1 x 3

0.13

0.625

0.296

0.092

β 7

x 1 x 4

−0.028

0.158

0.825

0.058

β 8

x 2 x 3

−1.06

−0.857

0.32

−0.22

β 9

x 2 x 4

−0.33

−1.77

−1.07

−0.028

β 10

x 3 x 4

0.0043

−0.0192

−0.47

−0.023

Square terms

β 11

x 21

7.41

−56.32

−136.23

−7.75

β 12

x 22

6.85

−3.12

−6.98

−0.31

β 13

x 23

−0.00016

−0.095

−0.096

2.35e−4

β 14

x 24

1.14

−2.51

8.60

0.33

  1. \(x_{1}\) is back layer yarn linear density (tex), x 2 is filament fineness (decitex), x 3 is total yarn linear density (tex) and x 4 is loop length (mm)