Table 3 The effect of \({I}_{N}\) on \({Q}_{N}\epsilon \left[{Q}_{L},{Q}_{U}\right]\)
From: Cochran’s Q test for analyzing categorical data under uncertainty
\({I}_{N}\epsilon \left[{I}_{L},{I}_{U}\right]\) | \({Q}_{N}\epsilon \left[{Q}_{L},{Q}_{U}\right]\) | Decision on \({H}_{0}\) |
|---|---|---|
\({I}_{N}\epsilon \left[\mathrm{0,0.01}\right]\) | [7.16, 7.0884] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.05}\right]\) | [7.16, 6.802] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.10}\right]\) | [7.16, 6.444] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.15}\right]\) | [7.16, 6.086] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.20}\right]\) | [7.16, 5.728] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.25}\right]\) | [7.16, 5.37] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.30}\right]\) | [7.16, 5.012] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.35}\right]\) | [7.16, 4.654] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.40}\right]\) | [7.16, 4.296] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.45}\right]\) | [7.16, 3.938] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.50}\right]\) | [7.16, 3.58] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.60}\right]\) | [7.16, 2.864] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.70}\right]\) | [7.16, 2.148] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.80}\right]\) | [7.16, 1.432] | Do not reject \({H}_{0}\) |
\({I}_{N}\epsilon \left[\mathrm{0,0.90}\right]\) | [7.16, 0.716] | Do not reject \({H}_{0}\) |