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Table 7 The results of equivalence tests for the best predictive DLA of the number of neuron alternatives regarding the numbers of hidden layer and M5 function based on NLRM, M5 based on NLME with f random, FFB-ANN, CC-ANN

From: Innovative deep learning artificial intelligence applications for predicting relationships between individual tree height and diameter at breast height

The number of neuron alternatives and regression models

The number of hidden layers

b0 limits

Bootstrap b0 limits

b1 limits

Bootstrap b1 limits

lower

upper

lower

upper

H0: not Equivalent

lower

upper

lower

upper

H0: not Equivalent

50 # neuron

3

9.7579

11.9263

10.7578

10.9326

Rejected

0.9000

1.1000

0.90224

0.9871

Rejected

90 # neuron

4

9.7579

11.9263

10.7458

10.9343

Rejected

0.9000

1.1000

0.9112

0.9895

Rejected

90 # neuron

5

9.7579

11.9263

10.7492

10.9279

Rejected

0.9000

1.1000

0.9227

0.9886

Rejected

100 # neuron

6

9.7579

11.9263

10.7494

10.9343

Rejected

0.9000

1.1000

0.9136

0.9892

Rejected

70 # neuron

7

9.7579

11.9263

10.7530

10.9229

Rejected

0.9000

1.1000

0.9228

0.9941

Rejected

90 # neuron

8

9.7579

11.9263

10.7431

10.9346

Rejected

0.9000

1.1000

0.8774

0.9829

Not rejected

100 # neuron

9

9.7579

11.9263

10.7558

10.9357

Rejected

0.9000

1.1000

0.9015

0.9761

Rejected

80 # neuron

10

9.7579

11.9263

10.7523

10.9339

Rejected

0.9000

1.1000

0.9178

0.9999

Rejected

M5 function based on NLRM

9.7579

11.9263

10.7621

10.9238

Rejected

0.9000

1.1000

0.9851

1.0562

Rejected

NLME with f random

9.7579

11.9263

10.7655

10.9135

Rejected

0.9000

1.1000

0.9849

1.0591

Rejected

FFB-ANN

9.7579

11.9263

10.7400

10.9397

Rejected

0.9000

1.1000

0.9049

1.0184

Rejected

CC-ANN

9.7579

11.9263

10.7490

10.9354

Rejected

0.9000

1.1000

0.8686

1.0118

Not rejected