Table 1 Model comparison criteria: BIC for the unperturbed Ehrlich tumor data.

From: Proper likelihood functions for parameter estimation in S-shaped models of unperturbed tumor growth

Individual

Norm

Prop

Thres

Stud

Stud prop

1

\(1.0727\times 10^{2}\)

\(1.0642\times 10^{2}\)

\(1.0736 \times 10^{2}\)

\(1.0727 \times 10^{2}\)

\(\mathbf {1.0320 \times 10^{2}}\)

2

\(9.7720\times 10^{1}\)

\(1.0420\times 10^{2}\)

\(9.2940 \times 10^{1}\)

\(9.7718 \times 10^{1}\)

\(\mathbf {8.8783 \times 10^{1}}\)

3

\(8.7728\times 10^{1}\)

\(1.0331\times 10^{2}\)

\(8.4857 \times 10^{1}\)

\(8.7739 \times 10^{1}\)

\(\mathbf {8.0731 \times 10^{1}}\)

4

\(1.0848\times 10^{2}\)

\(1.0576\times 10^{2}\)

\(1.0607 \times 10^{2}\)

\(1.0849 \times 10^{2}\)

\(\mathbf {1.0191 \times 10^{2}}\)

5

\(9.6301\times 10^{1}\)

\(1.0343\times 10^{2}\)

\(9.3257 \times 10^{1}\)

\(9.6300 \times 10^{1}\)

\(\mathbf {8.9101 \times 10^{1}}\)

6

\(8.8998\times 10^{1}\)

\(1.0369\times 10^{2}\)

\(9.0639 \times 10^{1}\)

\(8.9014 \times 10^{1}\)

\(\mathbf {8.8342 \times 10^{1}}\)

7

\(9.4826\times 10^{1}\)

\(1.0403\times 10^{2}\)

\(9.4389 \times 10^{1}\)

\(9.4828 \times 10^{1}\)

\(\mathbf {9.0952 \times 10^{1}}\)

8

\(9.0340\times 10^{1}\)

\(1.0344\times 10^{2}\)

\(9.0425 \times 10^{1}\)

\(9.0351 \times 10^{1}\)

\(\mathbf {8.7231 \times 10^{1}}\)

9

\(1.0644\times 10^{2}\)

\(1.0487\times 10^{2}\)

\(1.0204 \times 10^{2}\)

\(1.0643 \times 10^{2}\)

\(\mathbf {9.7865 \times 10^{1}}\)

10

\(1.0166\times 10^{2}\)

\(1.0416\times 10^{2}\)

\(9.8188 \times 10^{1}\)

\(1.0166 \times 10^{2}\)

\(\mathbf {9.4033 \times 10^{1}}\)