Table 4 Model comparison: fr(KS) 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

0.0000

\(3.0612 \times 10^{-1}\)

\(\mathbf {3.1912\times 10^{-1}}\)

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

\(3.1520\times 10^{-1}\)

2

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

\(\mathbf {2.6700 \times 10^{-1}}\)

\(2.6612\times 10^{-1}\)

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

\(2.5576\times 10^{-1}\)

3

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

\(2.5188 \times 10^{-1}\)

\(\mathbf {2.7088\times 10^{-1}}\)

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

\(2.6776\times 10^{-1}\)

4

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

\(2.6288 \times 10^{-1}\)

\(2.5996\times 10^{-1}\)

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

\(\mathbf {2.7116\times 10^{-1}}\)

5

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

\(\mathbf {2.7832 \times 10^{-1}}\)

\(2.6468\times 10^{-1}\)

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

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

6

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

\(\mathbf {2.7336 \times 10^{-1}}\)

\(2.6656\times 10^{-1}\)

0.0000

\(2.6528\times 10^{-1}\)

7

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

\(2.6392 \times 10^{-1}\)

\(\mathbf {2.6708\times 10^{-1}}\)

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

\(2.6340\times 10^{-1}\)

8

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

\(2.6816 \times 10^{-1}\)

\(\mathbf {2.8264\times 10^{-1}}\)

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

\(2.6424\times 10^{-1}\)

9

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

\(2.7136 \times 10^{-1}\)

\(2.7088\times 10^{-1}\)

\(4.8000\times 10^{-4}\)

\(\mathbf {2.7704\times 10^{-1}}\)

10

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

\(2.7336 \times 10^{-1}\)

\(\mathbf {2.8328\times 10^{-1}}\)

\(4.8000\times 10^{-4}\)

\(2.8272\times 10^{-1}\)