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. 2011 Oct 11;5:159. doi: 10.1186/1752-0509-5-159

Table 4.

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

i α/i Method RMSE Method RMSEm


zi pi Hypothesis zi pi 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

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 pi <α/i holds.