撕裂的模式很明确左半边往上偏一点，右半边往下偏一点，隔一个字出现一次。于是我便尝试让 GLM 4.7 尝试找出偏移规律。这里面出现了一个很烦人的点，它经常打出一大堆 ASCII Art，明明打出来的字都已经扭曲了，但是他还是信誓旦旦地告诉我：对的，这是汉字，完整的汉字没问题。
We then conducted pairwise comparisons using permutation tests (5,000 repetitions per test). While the rate of discovery for the Rule Confirming condition was lower (8.4%) than the rate for the Rule Disconfirming condition (14.1%), this difference was not statistically significant (diff = 5.7 percentage points, 95% CI [−-14.5 p.p., 2.9 p.p.], p=.143p=.143; H1b). The Rule Confirming condition discovered the rule more frequently than but not significantly different from the Default GPT condition (5.9%; diff = 2.5 p.p., 95% CI [−-4.6 p.p., 9.6 p.p.], p=.686p=.686, H1c).555An exploratory equivalence test (using 90% bootstrap confidence intervals for consistency) confirmed that these conditions were statistically equivalent. We defined the equivalence bounds as ±0.5SDDefault\pm 0.5SD_{Default} (±11.9\pm 11.9 p.p.), representing a medium effect size. The 90% confidence interval for the difference fell entirely within these bounds (90% CI [−-3.4 p.p., 8.2 p.p.]). Finally, consistent with our predictions, Default GPT showed significantly lower discovery rates than Rule Disconfirming (5.9% vs. 14.1% diff = 8.2 p.p., 95% CI [−-16.6 p.p., 0.1 p.p.], p=.043p=.043; H1d).666Note that the 95% CI overlaps zero as it corresponds to a two-sided test, whereas the significant pp-value reflects our pre-registered one-sided hypothesis.. One notable finding from our exploratory analyses is that Default GPT differed significantly from Random Sequence on both discovery (5.9% vs 29.5%; diff = 23.6 p.p., 95% CI [−34.0-34.0 p.p., −13.2-13.2 p.p.], p
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