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Table 1 Effect of uncertainty in level of significance

From: The run test for two samples in the presence of uncertainty

\({\alpha }_{N}\)

\({\alpha }_{N}={\alpha }_{L}+{\alpha }_{U}{I}_{N\alpha }\)

\({I}_{N\alpha }\)

Tabulated values

\({Z}_{N}\) of wind power

\({Z}_{N}\) of PV power

Decision about \({H}_{0}\) (wind power)

Decision about \({H}_{0}\) (PV power)

[0.001, 0.002]

\(0.001+0.002{I}_{N\alpha }\)

[0, 0.5]

[3.29, 3.09]

 − 1.66

 − 0.64

Do not reject \({H}_{0}\)

Do not reject \({H}_{0}\)

[0.026, 0.01]

\(0.026-0.01{I}_{N\alpha }\)

[0,  1.6]

[3.00, 2.58]

 − 1.66

 − 0.64

Do not reject \({H}_{0}\)

Do not reject \({H}_{0}\)

[0.02, 0.0456]

\(0.02+0.0456{I}_{N\alpha }\)

[0, 0.56]

[2.33, 2.00]

 − 1.66

 − 0.64

Do not reject \({H}_{0}\)

Do not reject \({H}_{0}\)

[0.05, 0.10]

\(0.05+0.10{I}_{N\alpha }\)

[0, 0.5]

[1.96, 1.64]

 − 1.66

 − 0.64

Reject \({H}_{0}\)

Do not reject \({H}_{0}\)

[0.20, 0.318]

\(0.20+0.318{I}_{N\alpha }\)

[0.37]

[1.28, 1.00]

 − 1.66

 − 0.64

Reject \({H}_{0}\)

Do not reject \({H}_{0}\)