Table 7 Model comparison criteria: ML for the unperturbed fibrosarcoma Sa-37 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

\(9.1053\times 10^{-1}\)

\(9.4307\times 10^{-1}\)

\(\mathbf {9.6001\times 10^{-1}}\)

\(9.6000\times 10^{-1}\)

\(9.1080\times 10^{-1}\)

2

\(9.6030\times 10^{-1}\)

\(9.3006\times 10^{-1}\)

\(\mathbf {9.6529\times 10^{-1}}\)

\(9.5500\times 10^{-1}\)

\(8.6810\times 10^{-1}\)

3

\(9.3881\times 10^{-1}\)

\(\mathbf {9.8643\times 10^{-1}}\)

\(9.5324\times 10^{-1}\)

\(9.5906\times 10^{-1}\)

\(9.8331\times 10^{-1}\)

4

\(\mathbf {9.9649\times 10^{-1}}\)

\(9.1477\times 10^{-1}\)

\(9.5803\times 10^{-1}\)

\(9.7014\times 10^{-1}\)

\(9.1399\times 10^{-1}\)

5

\(\mathbf {9.8051\times 10^{-1}}\)

\(9.2111\times 10^{-1}\)

\(9.7750\times 10^{-1}\)

\(9.6500\times 10^{-1}\)

\(9.4022\times 10^{-1}\)

6

\(9.2955\times 10^{-1}\)

\(\mathbf {9.7836\times 10^{-1}}\)

\(9.6145\times 10^{-1}\)

\(9.4851\times 10^{-1}\)

\(9.5061\times 10^{-1}\)

7

\(9.5123\times 10^{-1}\)

\(8.7347\times 10^{-1}\)

\(9.6504\times 10^{-1}\)

\(\mathbf {9.9152\times 10^{-1}}\)

\(9.4500\times 10^{-1}\)

8

\(9.4456\times 10^{-1}\)

\(9.2135\times 10^{-1}\)

\(\mathbf {9.6423\times 10^{-1}}\)

\(9.6025\times 10^{-1}\)

\(9.2365\times 10^{-1}\)

9

\(9.4500\times 10^{-1}\)

\(9.0990\times 10^{-1}\)

\(9.6205\times 10^{-1}\)

\(\mathbf {9.7127\times 10^{-1}}\)

\(9.3321\times 10^{-1}\)

10

\(\mathbf {9.9794\times 10^{-1}}\)

\(8.1350\times 10^{-1}\)

\(9.6793\times 10^{-1}\)

\(9.5800\times 10^{-1}\)

\(9.0130\times 10^{-1}\)