Table 8 Model comparison criteria: fr(KS) 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

\(2.0000\times 10^{-4}\)

\(2.7420\times 10^{-1}\)

\(\mathbf {2.9508\times 10^{-1}}\)

\(2.4000\times 10^{-4}\)

\(2.8296\times 10^{-1}\)

2

\(8.0000\times 10^{-5}\)

\(\mathbf {2.8636\times 10^{-1}}\)

\(2.8208\times 10^{-1}\)

\(2.8000\times 10^{-4}\)

\(2.8384\times 10^{-1}\)

3

\(5.2000\times 10^{-4}\)

\(2.6648\times 10^{-1}\)

\(\mathbf {2.7996\times 10^{-1}}\)

\(6.0000\times 10^{-4}\)

\(2.6416\times 10^{-1}\)

4

\(1.6000\times 10^{-4}\)

\(2.7260\times 10^{-1}\)

\(2.7180\times 10^{-1}\)

\(2.0000\times 10^{-4}\)

\(\mathbf {2.8528\times 10^{-1}}\)

5

\(3.6000\times 10^{-4}\)

\(2.7668\times 10^{-1}\)

\(\mathbf {3.0132\times 10^{-1}}\)

\(8.4000\times 10^{-4}\)

\(2.6724\times 10^{-1}\)

6

\(8.0000\times 10^{-5}\)

\(2.7208\times 10^{-1}\)

\(\mathbf {2.9612\times 10^{-1}}\)

\(2.4000\times 10^{-4}\)

\(2.6764\times 10^{-1}\)

7

\(2.8000\times 10^{-4}\)

\(2.7660\times 10^{-1}\)

\(\mathbf {2.7960\times 10^{-1}}\)

\(2.4000\times 10^{-4}\)

\(2.6412\times 10^{-1}\)

8

\(1.2000\times 10^{-4}\)

\(\mathbf {2.8528\times 10^{-1}}\)

\(2.5116\times 10^{-1}\)

\(5.6000\times 10^{-4}\)

\(2.6692\times 10^{-1}\)

9

0.0000

\(\mathbf {2.9320\times 10^{-1}}\)

\(2.6760\times 10^{-1}\)

\(1.2000\times 10^{-4}\)

\(2.7468\times 10^{-1}\)

10

\(2.0000\times 10^{-4}\)

\(\mathbf {2.8400\times 10^{-1}}\)

\(2.8304\times 10^{-1}\)

\(1.6000\times 10^{-4}\)

\(2.6556\times 10^{-1}\)