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Table 2 Summary table of parametric coefficients and smooth terms for Model 2, GAMs testing the effect of operating mode, tether length, thruster, a smoothed function of distance, a smoothed function of distance for each mode, a smoothed function of distance for each tether length, and a smoothed function of distance for each thruster status on detection probability of high- (top) and low-power (bottom) transmissions

From: Characterization of acoustic detection efficiency using an unmanned surface vessel as a mobile receiver platform

Parametric coefficients

Estimate

SE

Z

p-value

High-power

 (Intercept)

1.88

0.57

3.30

9.51E04

 Mode = Station-keeping

− 2.25

0.62

− 3.65

2.59E04

 Tether = 2.9 m

− 0.58

0.60

− 0.96

0.335

 Tether = 4.6 m

1.22

0.76

1.60

0.110

 Thruster = on

− 5.27

0.91

− 5.78

7.26E09

Smoothing terms

EDF

 

Χ2

p-value

S (distance)

3.00

 

33.93

 < 2E16

S (distance): mode = Drifting

1.23E−05

 

1.08E−06

0.823

S (distance): mode = Station-keeping

1.21E−05

 

1.27E−06

0.795

S (distance): tether = 1.1 m

3.15E−06

 

8.97E−08

0.945

S (distance): tether = 2.9 m

2.72E−06

 

1.66E−07

0.880

S (distance): tether = 4.6 m

1.05

 

4.97

0.015

S (distance): thruster = off

2.58E−03

 

2.52E−03

0.259

S (distance): thruster = on

9.58E−02

 

0.11

0.284

Parametric coefficients

Estimate

SE

Z

p-value

Low-power

 (Intercept)

0.54

0.42

1.29

0.199

 Mode = Station-keeping

− 1.41

0.44

− 3.20

0.001

 Tether = 2.9 m

− 0.15

0.45

− 0.32

0.746

 Tether = 4.6 m

1.37

0.56

2.47

0.014

 Thruster = on

− 2.91

0.54

− 5.43

5.54E08

Smoothing terms

EDF

 

X2

p-value

S (distance)

2.74

 

25.75

5.62E-07

S (distance): mode = Drifting

1.43E−05

 

5.56E−06

0.545

S (distance): mode = Station-keeping

1.28E−05

 

5.81E−06

0.509

S (distance): tether = 1.1 m

0.75

 

1.65

0.117

S (distance): tether = 2.9 m

3.12E−05

 

7.49E−06

0.566

S (distance): tether = 4.6 m

0.64

 

1.35

0.125

S (distance): thruster = off

1.24E−05

 

7.35E−06

0.432

S (distance): thruster = on

2.17E−05

 

1.21E−05

0.456

  1. For each model (high- (top) and low-power (bottom) transmissions), parametric coefficients are provided with the estimate, standard error (SE), test statistic (Z), and p-value for the null hypothesis that the parameter is zero and smoothing terms are provided with the estimated degrees of freedom (EDF), test statistic (χ2), and approximate p-value for the null hypothesis that the smoothing term is zero. Italicized p-values are significant at a significance level of 0.05, see Fig. 5 for the partial effects plots of significant smoothing terms