TABLE 5.
Differences between thresholds across waves (2016 vs. 2017) using logit and probability difference tests.
| Threshold τ | Logit Diff | p-value Logit | Logit Diff B-H | prob-Diff | p-value prob. | p-Diff B-H | H | H E.S. Cohen | H Z-test | H Z-test B-H |
| T1 | 0.095 | 0.513 | n.s. | −0.021 | 0.513 | n.s. | −0.045 | Small | −0.6540 | n.s. |
| T2 | 0.267 | 0.132 | n.s. | −0.035 | 0.137 | n.s. | −0.097 | Small | −1.4990 | n.s. |
| T3 | 10.689 | 0.001* | n.s. | −0.013 | 0.731 | n.s. | −0.230 | Small | −0.6820 | n.s. |
| T4 | 0.140 | 0.701 | n.s. | −0.012 | 0.698 | n.s. | −0.041 | Small | −0.3860 | n.s. |
| T5 | −0.754 | 0.001* | n.s. | 0.101 | 0.001* | n.s. | 0.275 | Small | 3.3630 | Sig. |
| T6 | 0.167 | 0.192 | n.s. | −0.036 | 0.189 | n.s. | −0.077 | Small | −1.3100 | n.s. |
| T7 | −6.735 | 0.000* | Sig. | 0.305 | 0.000* | Sig. | 1.126 | Large | 10.3340 | Sig. |
| T8 | −0.718 | 0.002 | n.s. | 0.171 | 0.001* | n.s. | 0.351 | Small | 3.1370 | Sig. |
| T9 | 14.467 | 0.000* | Sig. | −0.370 | 0.000* | Sig. | −1.306 | Large | −8.8420 | Sig. |
| T10 | 5.551 | 0.001* | n.s. | −0.851 | 0.000* | Sig. | −2.097 | Large | −7.1130 | Sig. |
| T11 | 2.636 | 0.000* | Sig. | −0.569 | 0.000* | Sig. | −1.222 | Large | −5.1420 | Sig. |
| T12 | 0.852 | 0.001* | n.s. | −0.210 | 0.001* | n.s. | −0.423 | Small | −3.3330 | Sig. |
| T13 | 14.153 | 0.000* | Sig. | −0.300 | 0.000* | Sig. | −1.158 | Large | −11.7950 | Sig. |
| T14 | 0.466 | 0.019 | n.s. | −0.109 | 0.018 | n.s. | −0.225 | Small | −2.3540 | n.s. |
| T15 | −4.854 | 0.127 | n.s. | 0.375 | 0.000* | Sig. | 1.190 | Large | 5.1520 | Sig. |
| T16 | −3.146 | 0.000* | Sig. | 0.620 | 0.000* | Sig. | 1.383 | Large | 5.6100 | Sig. |
| T17 | −3.832 | 0.000* | Sig. | 0.737 | 0.000* | Sig. | 1.667 | Large | 9.9590 | Sig. |
| T18 | −0.333 | 0.061 | n.s. | 0.083 | 0.060 | n.s. | 0.166 | Small | 1.8790 | n.s. |
| T19 | −12.086 | 0.000* | Sig. | 0.051 | 0.491 | n.s. | 0.457 | Small | 1.3490 | n.s. |
| T20 | 0.331 | 0.032 | n.s. | −0.081 | 0.031 | n.s. | −0.164 | Small | −7.1130 | Sig. |
| T21 | 0.217 | 0.189 | n.s. | −0.045 | 0.187 | n.s. | −0.099 | Small | −1.3170 | n.s. |
| T22 | 0.711 | 0.019 | n.s. | −0.106 | 0.011 | n.s. | −0.274 | Small | −2.4750 | n.s. |
| T23 | −0.738 | 0.003 | n.s. | −0.720 | 0.000* | Sig. | −2.025 | Large | −11.7950 | Sig. |
| T24 | −0.128 | 0.408 | n.s. | −0.181 | 0.000* | Sig. | −0.385 | Small | −2.3540 | n.s. |
For the H z-test, the critical value of the z-statistic at a = 0.001 is 3.0902. Diff = Difference estimate. B-H = Benjamini-Hochberg correction. H = Statistic expressing the difference in two proportions using arcsine transformation. E.S. = Effect Size. Bold text indicates significant effects.