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Table 4 Results of the Holm test for significance level α = 0.05.

From: Parameter estimation with bio-inspired meta-heuristic optimization: modeling the dynamics of endocytosis

i

α/i

Method

RMSE

Method

RMSEm

   

z i

p i

Hypothesis

 

z i

p i

Hypothesis

3

0.017

A717

5.69

1.25·10-8

Rejected

A717

2.53

1.14·10-2

Rejected

2

0.025

DASA

3.16

1.57·10-3

Rejected

DASA

1.58

1.14·10-1

Accepted

1

0.050

PSO

2.53

1.14·10-2

Rejected

DE

1.58

1.14·10-1

Accepted

  1. The table summarizes the outcome of the Holm test performed on the median values of the RMSE and RMSEm results obtained by parameter estimation with the four optimization methods from artificial data. In the first test based on median values of the RMSE measure, DE is the reference method with rank i = 0. In the second test based on median values of the RMSEm measure, PSO is the reference method with rank i = 0. The hypothesis "there is no difference in performance between DE (PSO) and the i-th ranked method" is rejected if the statement p i <α/i holds.