{ "n_sessions_in_subsample": 60, "judges": [ "claude_sonnet", "gemini_3_1_pro", "gpt_latest" ], "paired_score_comparison": { "claude_sonnet": { "n_paired": 60, "mean_delta": 0.215, "mean_abs_delta": 0.265, "pearson_r": 0.4997, "pearson_p": 0.0 }, "gemini_3_1_pro": { "n_paired": 40, "mean_delta": 0.1375, "mean_abs_delta": 0.3575, "pearson_r": 0.9162, "pearson_p": 0.0 }, "gpt_latest": { "n_paired": 60, "mean_delta": 0.1625, "mean_abs_delta": 0.1825, "pearson_r": 0.9379, "pearson_p": 0.0 } }, "inter_judge_kappa": { "claude_sonnet__vs__gemini_3_1_pro": { "n_no_cot": 52, "n_cot": 47, "kappa_no_cot": 0.1762, "kappa_cot": 0.2607, "delta_kappa": 0.0845 }, "claude_sonnet__vs__gpt_latest": { "n_no_cot": 60, "n_cot": 60, "kappa_no_cot": 0.1799, "kappa_cot": 0.1332, "delta_kappa": -0.0467 }, "gemini_3_1_pro__vs__gpt_latest": { "n_no_cot": 52, "n_cot": 47, "kappa_no_cot": 0.4494, "kappa_cot": 0.3552, "delta_kappa": -0.0942 } }, "per_judge_rho_vs_mt_arena": { "claude_sonnet": { "no_cot": { "n_models": 20, "rho": 0.1422, "p": 0.5498 }, "cot": { "n_models": 20, "rho": 0.2591, "p": 0.2699 } }, "gemini_3_1_pro": { "no_cot": { "n_models": 20, "rho": 0.149, "p": 0.5307 }, "cot": { "n_models": 20, "rho": 0.2297, "p": 0.33 } }, "gpt_latest": { "no_cot": { "n_models": 20, "rho": 0.2056, "p": 0.3846 }, "cot": { "n_models": 20, "rho": 0.2379, "p": 0.3126 } } } }