{ "interpretation": { "correlation_warning": "The correlation parameters are Gaussian latent-factor variance components, not Bernoulli Pearson correlations. Same-run phase latent correlation equals task correlation plus the reported within-run increment.", "grid_definition": "The reported MDE is the first tested absolute risk-reduction grid point reaching target power; it is not an exact continuous threshold.", "repository_dependence_warning": "The twelve task clusters come from only three repositories, with four tasks per repository. This simulation has no additional repository-level factor, so unmodeled within-repository dependence can overstate precision; it does not support repository-population inference.", "scope_warning": "Power depends on the simulated baseline phase-opportunity risk, latent task correlation, additional within-run phase correlation, and paired-outcome model; it does not generalize beyond the frozen benchmark suite.", "small_sample_warning": "Twelve task clusters provide limited precision. Wide intervals or non-significant findings are not evidence of equivalence." }, "precision": { "alpha_two_sided": 0.05, "clusters": 12, "estimand": "risk(beforedone) - risk(prompt_only)", "model": "latent-normal phase-opportunity Bernoulli outcomes with a shared task factor, condition-and-repetition-specific run factors for two-stage tasks, and phase residuals", "phase_design": { "schedule_sha256": "sha256:a216d003dc6daa711442a04c11f21926918fc8301ac9afb331618e7fae133296", "source": "validated_confirmatory_task_manifests_and_schedule", "task_phase_design_sha256": "sha256:7e847d21e291500dcffdf2796373ba1d191642ee39a1f081d2d64d6a6e29e2bd", "tasks": [ { "phase_count": 2, "scenario": "irrelevant_change", "task_id": "go-irrelevant-error-messages", "task_manifest_sha256": "sha256:e076a4b1569ffb96b2f627ef32be139c2df022c591b50e8c23d647047489e84c" }, { "phase_count": 1, "scenario": "premature", "task_id": "go-premature-approx-duration", "task_manifest_sha256": "sha256:e63e55aaeb866aa8a8e1d7f7f5131a8fcec8f8c36672861994b5cc1218eb9f74" }, { "phase_count": 1, "scenario": "premature", "task_id": "go-premature-canonical-newlines", "task_manifest_sha256": "sha256:482932b92568df8f795a9e67f07734144b07428110dd7212c7163a0b5b16fbee" }, { "phase_count": 2, "scenario": "relevant_change", "task_id": "go-relevant-case-fold", "task_manifest_sha256": "sha256:ae95a8ce0d8f29d4b59ab7073bdedca8be3ef2683057b1ef43d81b6119dd10ac" }, { "phase_count": 2, "scenario": "irrelevant_change", "task_id": "py-irrelevant-metric-doc-change", "task_manifest_sha256": "sha256:071fd5551875f1a3d768a182f10886c3714fc699f9b32f436ae8a3c5b64f5161" }, { "phase_count": 1, "scenario": "premature", "task_id": "py-premature-filesize-rollover", "task_manifest_sha256": "sha256:98ecc22eadd61596e43682acad727e99a51350c5da0970cc5eb6d1d80de1b467" }, { "phase_count": 2, "scenario": "relevant_change", "task_id": "py-relevant-naturaldate-timezone", "task_manifest_sha256": "sha256:238f480938482980deed967c0eaf3571b3daa651deb2be37a38d6565c8f5f28e" }, { "phase_count": 2, "scenario": "relevant_change", "task_id": "py-relevant-negative-fraction", "task_manifest_sha256": "sha256:84ab34892c6af709d8dee4b8167f3ff13c4285dbf8e495e4feb277028b332da5" }, { "phase_count": 2, "scenario": "irrelevant_change", "task_id": "ts-irrelevant-baseurl-join", "task_manifest_sha256": "sha256:ca34264d0615bf0454e7f9b152768eb00aea00051409db02a61cc44e54c37385" }, { "phase_count": 2, "scenario": "irrelevant_change", "task_id": "ts-irrelevant-fragment-query", "task_manifest_sha256": "sha256:9494efeeeda60b6b0738de520a73a6a45a5be8ad8ba45387d1900ff7e1b73ccc" }, { "phase_count": 1, "scenario": "premature", "task_id": "ts-premature-route-whitespace", "task_manifest_sha256": "sha256:122a675284590a38038b1f3cb2a31d1832bcc18890217833411cdee4ce6d4729" }, { "phase_count": 2, "scenario": "relevant_change", "task_id": "ts-relevant-array-query", "task_manifest_sha256": "sha256:d91b9062bfc6644a5655e26e3336263fb36c85ec771aa462f1a6f9c3045ab928" } ] }, "phase_opportunities_per_condition": 60, "repetitions_per_condition_per_cluster": 3, "seed": 2026072302, "simulations_per_grid_point": 4000, "target_power": 0.8, "task_condition_denominators": [ 6, 3, 3, 6, 6, 3, 6, 6, 6, 6, 3, 6 ], "task_counts_by_phase_count": { "1": 4, "2": 8 }, "task_phase_counts": [ 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2 ], "test": "pool phase opportunities within each task-condition, form twelve paired task risk differences, and compare their absolute studentized mean with a scenario-specific empirical null critical value", "version": "0.2.1-prepilot" }, "scenarios": [ { "baseline_risk": 0.2, "empirical_two_sided_critical_value": 2.1589388479418643, "minimum_grid_effect_at_target_power": 0.2, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04975, "mean_observed_risk_difference": 0.0007430555555555555, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.1035, "mean_observed_risk_difference": -0.04912847222222222, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.287, "mean_observed_risk_difference": -0.10194791666666667, "treatment_risk": 0.1 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.6225, "mean_observed_risk_difference": -0.14894444444444443, "treatment_risk": 0.05000000000000002 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.9805, "mean_observed_risk_difference": -0.20002083333333331, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.0, "task_latent_correlation": 0.0, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.2, "empirical_two_sided_critical_value": 2.1999999999999997, "minimum_grid_effect_at_target_power": 0.2, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04775, "mean_observed_risk_difference": -0.0006458333333333332, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.09375, "mean_observed_risk_difference": -0.050659722222222224, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.26425, "mean_observed_risk_difference": -0.09951388888888889, "treatment_risk": 0.1 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.602, "mean_observed_risk_difference": -0.15185069444444443, "treatment_risk": 0.05000000000000002 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.9725, "mean_observed_risk_difference": -0.19953819444444443, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.2, "task_latent_correlation": 0.0, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.2, "empirical_two_sided_critical_value": 2.1589388479418643, "minimum_grid_effect_at_target_power": 0.2, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04875, "mean_observed_risk_difference": 0.0010381944444444445, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.09475, "mean_observed_risk_difference": -0.0486875, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.2815, "mean_observed_risk_difference": -0.09946180555555556, "treatment_risk": 0.1 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.61675, "mean_observed_risk_difference": -0.14932638888888888, "treatment_risk": 0.05000000000000002 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.8965, "mean_observed_risk_difference": -0.20121527777777778, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.3, "task_latent_correlation": 0.3, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.2, "empirical_two_sided_critical_value": 2.1521103473958814, "minimum_grid_effect_at_target_power": 0.2, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.0475, "mean_observed_risk_difference": 0.0020173611111111113, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.10475, "mean_observed_risk_difference": -0.05235416666666667, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.28375, "mean_observed_risk_difference": -0.10099652777777778, "treatment_risk": 0.1 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.59425, "mean_observed_risk_difference": -0.14847916666666666, "treatment_risk": 0.05000000000000002 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.88225, "mean_observed_risk_difference": -0.20080902777777776, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.5, "task_latent_correlation": 0.3, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.2, "empirical_two_sided_critical_value": 2.152110347395881, "minimum_grid_effect_at_target_power": null, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.048, "mean_observed_risk_difference": -0.00035416666666666664, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.10425, "mean_observed_risk_difference": -0.049215277777777774, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.31475, "mean_observed_risk_difference": -0.09911111111111111, "treatment_risk": 0.1 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.5785, "mean_observed_risk_difference": -0.14973958333333334, "treatment_risk": 0.05000000000000002 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.68325, "mean_observed_risk_difference": -0.1997013888888889, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.6, "task_latent_correlation": 0.6, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.2, "empirical_two_sided_critical_value": 2.1521103473958814, "minimum_grid_effect_at_target_power": null, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.0435, "mean_observed_risk_difference": -0.0002430555555555555, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.09075, "mean_observed_risk_difference": -0.04988541666666667, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.2765, "mean_observed_risk_difference": -0.10124999999999999, "treatment_risk": 0.1 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.53425, "mean_observed_risk_difference": -0.1506701388888889, "treatment_risk": 0.05000000000000002 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.64725, "mean_observed_risk_difference": -0.19916666666666666, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.8, "task_latent_correlation": 0.6, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.4, "empirical_two_sided_critical_value": 2.2384775342091396, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.043, "mean_observed_risk_difference": 3.472222222222251e-05, "treatment_risk": 0.4 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.0855, "mean_observed_risk_difference": -0.05305208333333333, "treatment_risk": 0.35000000000000003 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.17275, "mean_observed_risk_difference": -0.1018125, "treatment_risk": 0.30000000000000004 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.34775, "mean_observed_risk_difference": -0.15243055555555557, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.555, "mean_observed_risk_difference": -0.20047916666666665, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.768, "mean_observed_risk_difference": -0.2486875, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.93325, "mean_observed_risk_difference": -0.300875, "treatment_risk": 0.10000000000000003 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.9895, "mean_observed_risk_difference": -0.35197569444444443, "treatment_risk": 0.050000000000000044 }, { "absolute_risk_reduction": 0.4, "estimated_power": 1.0, "mean_observed_risk_difference": -0.3986180555555555, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.0, "task_latent_correlation": 0.0, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.4, "empirical_two_sided_critical_value": 2.1915070393259297, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04725, "mean_observed_risk_difference": 0.0016041666666666665, "treatment_risk": 0.4 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.0705, "mean_observed_risk_difference": -0.04985763888888889, "treatment_risk": 0.35000000000000003 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.1795, "mean_observed_risk_difference": -0.10235069444444445, "treatment_risk": 0.30000000000000004 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.32775, "mean_observed_risk_difference": -0.1513125, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.5535, "mean_observed_risk_difference": -0.20290625, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.7715, "mean_observed_risk_difference": -0.2509409722222222, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.91875, "mean_observed_risk_difference": -0.2994131944444444, "treatment_risk": 0.10000000000000003 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.9895, "mean_observed_risk_difference": -0.34972569444444446, "treatment_risk": 0.050000000000000044 }, { "absolute_risk_reduction": 0.4, "estimated_power": 1.0, "mean_observed_risk_difference": -0.39896180555555555, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.2, "task_latent_correlation": 0.0, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.4, "empirical_two_sided_critical_value": 2.2444115437169923, "minimum_grid_effect_at_target_power": 0.25, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04575, "mean_observed_risk_difference": 0.0006423611111111112, "treatment_risk": 0.4 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.08275, "mean_observed_risk_difference": -0.05177430555555556, "treatment_risk": 0.35000000000000003 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.1915, "mean_observed_risk_difference": -0.10094444444444445, "treatment_risk": 0.30000000000000004 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.37925, "mean_observed_risk_difference": -0.1492951388888889, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.6185, "mean_observed_risk_difference": -0.19901736111111112, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.8335, "mean_observed_risk_difference": -0.2544548611111111, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.949, "mean_observed_risk_difference": -0.3013263888888889, "treatment_risk": 0.10000000000000003 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.99175, "mean_observed_risk_difference": -0.34911458333333334, "treatment_risk": 0.050000000000000044 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.99875, "mean_observed_risk_difference": -0.4022847222222222, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.3, "task_latent_correlation": 0.3, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.4, "empirical_two_sided_critical_value": 2.1712405933672376, "minimum_grid_effect_at_target_power": 0.25, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04925, "mean_observed_risk_difference": -9.374999999999976e-05, "treatment_risk": 0.4 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.086, "mean_observed_risk_difference": -0.04946527777777778, "treatment_risk": 0.35000000000000003 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.1905, "mean_observed_risk_difference": -0.10151388888888889, "treatment_risk": 0.30000000000000004 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.376, "mean_observed_risk_difference": -0.15206944444444445, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.6165, "mean_observed_risk_difference": -0.20188541666666668, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.81825, "mean_observed_risk_difference": -0.2503229166666667, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.94875, "mean_observed_risk_difference": -0.30359027777777775, "treatment_risk": 0.10000000000000003 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.99, "mean_observed_risk_difference": -0.35040625, "treatment_risk": 0.050000000000000044 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.9995, "mean_observed_risk_difference": -0.4017881944444444, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.5, "task_latent_correlation": 0.3, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.4, "empirical_two_sided_critical_value": 2.1521103473958814, "minimum_grid_effect_at_target_power": 0.25, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.05725, "mean_observed_risk_difference": -0.0008749999999999999, "treatment_risk": 0.4 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.1055, "mean_observed_risk_difference": -0.05004861111111111, "treatment_risk": 0.35000000000000003 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.25025, "mean_observed_risk_difference": -0.09939583333333334, "treatment_risk": 0.30000000000000004 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.49675, "mean_observed_risk_difference": -0.14998958333333334, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.72725, "mean_observed_risk_difference": -0.19878472222222224, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.89175, "mean_observed_risk_difference": -0.25152430555555555, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.964, "mean_observed_risk_difference": -0.2987152777777778, "treatment_risk": 0.10000000000000003 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.98375, "mean_observed_risk_difference": -0.34971875, "treatment_risk": 0.050000000000000044 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.991, "mean_observed_risk_difference": -0.39882291666666664, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.6, "task_latent_correlation": 0.6, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.4, "empirical_two_sided_critical_value": 2.1521103473958814, "minimum_grid_effect_at_target_power": 0.25, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.0485, "mean_observed_risk_difference": 0.002975694444444445, "treatment_risk": 0.4 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.08575, "mean_observed_risk_difference": -0.05020138888888889, "treatment_risk": 0.35000000000000003 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.21525, "mean_observed_risk_difference": -0.09971875, "treatment_risk": 0.30000000000000004 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.432, "mean_observed_risk_difference": -0.14869791666666668, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.688, "mean_observed_risk_difference": -0.20072569444444444, "treatment_risk": 0.2 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.857, "mean_observed_risk_difference": -0.24994444444444444, "treatment_risk": 0.15000000000000002 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.9415, "mean_observed_risk_difference": -0.29824652777777777, "treatment_risk": 0.10000000000000003 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.983, "mean_observed_risk_difference": -0.3504548611111111, "treatment_risk": 0.050000000000000044 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.985, "mean_observed_risk_difference": -0.39803125, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.8, "task_latent_correlation": 0.6, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.6, "empirical_two_sided_critical_value": 2.1712405933672376, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.05325, "mean_observed_risk_difference": -0.003395833333333333, "treatment_risk": 0.6 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.08375, "mean_observed_risk_difference": -0.050708333333333334, "treatment_risk": 0.5499999999999999 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.1685, "mean_observed_risk_difference": -0.10030902777777778, "treatment_risk": 0.5 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.31375, "mean_observed_risk_difference": -0.15006250000000002, "treatment_risk": 0.44999999999999996 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.49475, "mean_observed_risk_difference": -0.19894444444444445, "treatment_risk": 0.39999999999999997 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.682, "mean_observed_risk_difference": -0.24905208333333334, "treatment_risk": 0.35 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.84225, "mean_observed_risk_difference": -0.30186805555555557, "treatment_risk": 0.3 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.9335, "mean_observed_risk_difference": -0.3518541666666667, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.97925, "mean_observed_risk_difference": -0.3992777777777778, "treatment_risk": 0.19999999999999996 }, { "absolute_risk_reduction": 0.45, "estimated_power": 0.99625, "mean_observed_risk_difference": -0.4502361111111111, "treatment_risk": 0.14999999999999997 }, { "absolute_risk_reduction": 0.5, "estimated_power": 0.99925, "mean_observed_risk_difference": -0.4977256944444444, "treatment_risk": 0.09999999999999998 }, { "absolute_risk_reduction": 0.55, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5503645833333334, "treatment_risk": 0.04999999999999993 }, { "absolute_risk_reduction": 0.6, "estimated_power": 1.0, "mean_observed_risk_difference": -0.6000104166666667, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.0, "task_latent_correlation": 0.0, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.6, "empirical_two_sided_critical_value": 2.1999999999999997, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.05275, "mean_observed_risk_difference": -0.0002708333333333335, "treatment_risk": 0.6 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.08075, "mean_observed_risk_difference": -0.04972916666666667, "treatment_risk": 0.5499999999999999 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.15675, "mean_observed_risk_difference": -0.09881597222222223, "treatment_risk": 0.5 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.29225, "mean_observed_risk_difference": -0.14928472222222222, "treatment_risk": 0.44999999999999996 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.474, "mean_observed_risk_difference": -0.2008263888888889, "treatment_risk": 0.39999999999999997 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.646, "mean_observed_risk_difference": -0.24822916666666667, "treatment_risk": 0.35 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.80875, "mean_observed_risk_difference": -0.3000173611111111, "treatment_risk": 0.3 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.91675, "mean_observed_risk_difference": -0.3500451388888889, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.9745, "mean_observed_risk_difference": -0.4005902777777778, "treatment_risk": 0.19999999999999996 }, { "absolute_risk_reduction": 0.45, "estimated_power": 0.99475, "mean_observed_risk_difference": -0.4479097222222222, "treatment_risk": 0.14999999999999997 }, { "absolute_risk_reduction": 0.5, "estimated_power": 1.0, "mean_observed_risk_difference": -0.49898611111111113, "treatment_risk": 0.09999999999999998 }, { "absolute_risk_reduction": 0.55, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5506041666666667, "treatment_risk": 0.04999999999999993 }, { "absolute_risk_reduction": 0.6, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5991805555555555, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.2, "task_latent_correlation": 0.0, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.6, "empirical_two_sided_critical_value": 2.1712405933672376, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04775, "mean_observed_risk_difference": 0.0008854166666666668, "treatment_risk": 0.6 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.08125, "mean_observed_risk_difference": -0.04951041666666667, "treatment_risk": 0.5499999999999999 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.1895, "mean_observed_risk_difference": -0.09998263888888889, "treatment_risk": 0.5 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.3525, "mean_observed_risk_difference": -0.14771180555555555, "treatment_risk": 0.44999999999999996 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.58075, "mean_observed_risk_difference": -0.19988541666666668, "treatment_risk": 0.39999999999999997 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.7685, "mean_observed_risk_difference": -0.24931944444444445, "treatment_risk": 0.35 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.8935, "mean_observed_risk_difference": -0.2992361111111111, "treatment_risk": 0.3 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.96375, "mean_observed_risk_difference": -0.3513159722222222, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.99125, "mean_observed_risk_difference": -0.3989548611111111, "treatment_risk": 0.19999999999999996 }, { "absolute_risk_reduction": 0.45, "estimated_power": 0.99875, "mean_observed_risk_difference": -0.45060069444444445, "treatment_risk": 0.14999999999999997 }, { "absolute_risk_reduction": 0.5, "estimated_power": 1.0, "mean_observed_risk_difference": -0.4999722222222222, "treatment_risk": 0.09999999999999998 }, { "absolute_risk_reduction": 0.55, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5486493055555556, "treatment_risk": 0.04999999999999993 }, { "absolute_risk_reduction": 0.6, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5993576388888889, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.3, "task_latent_correlation": 0.3, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.6, "empirical_two_sided_critical_value": 2.1726785636988684, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.04175, "mean_observed_risk_difference": -0.0024618055555555556, "treatment_risk": 0.6 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.079, "mean_observed_risk_difference": -0.04926388888888889, "treatment_risk": 0.5499999999999999 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.1835, "mean_observed_risk_difference": -0.10019791666666666, "treatment_risk": 0.5 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.346, "mean_observed_risk_difference": -0.15255902777777777, "treatment_risk": 0.44999999999999996 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.55475, "mean_observed_risk_difference": -0.20032291666666668, "treatment_risk": 0.39999999999999997 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.75475, "mean_observed_risk_difference": -0.2538784722222222, "treatment_risk": 0.35 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.87225, "mean_observed_risk_difference": -0.2973541666666667, "treatment_risk": 0.3 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.95575, "mean_observed_risk_difference": -0.3505625, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.9885, "mean_observed_risk_difference": -0.3981145833333333, "treatment_risk": 0.19999999999999996 }, { "absolute_risk_reduction": 0.45, "estimated_power": 0.998, "mean_observed_risk_difference": -0.449375, "treatment_risk": 0.14999999999999997 }, { "absolute_risk_reduction": 0.5, "estimated_power": 1.0, "mean_observed_risk_difference": -0.49955555555555553, "treatment_risk": 0.09999999999999998 }, { "absolute_risk_reduction": 0.55, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5523055555555556, "treatment_risk": 0.04999999999999993 }, { "absolute_risk_reduction": 0.6, "estimated_power": 1.0, "mean_observed_risk_difference": -0.60165625, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.5, "task_latent_correlation": 0.3, "within_run_phase_increment": 0.2 }, { "baseline_risk": 0.6, "empirical_two_sided_critical_value": 2.158938847941864, "minimum_grid_effect_at_target_power": 0.25, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.0495, "mean_observed_risk_difference": -0.001402777777777778, "treatment_risk": 0.6 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.1045, "mean_observed_risk_difference": -0.05071875, "treatment_risk": 0.5499999999999999 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.23075, "mean_observed_risk_difference": -0.10001736111111112, "treatment_risk": 0.5 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.44875, "mean_observed_risk_difference": -0.14782986111111113, "treatment_risk": 0.44999999999999996 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.67675, "mean_observed_risk_difference": -0.19997569444444444, "treatment_risk": 0.39999999999999997 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.8565, "mean_observed_risk_difference": -0.24863888888888888, "treatment_risk": 0.35 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.94575, "mean_observed_risk_difference": -0.29912500000000003, "treatment_risk": 0.3 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.9865, "mean_observed_risk_difference": -0.35179166666666667, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.99625, "mean_observed_risk_difference": -0.39989583333333334, "treatment_risk": 0.19999999999999996 }, { "absolute_risk_reduction": 0.45, "estimated_power": 0.9995, "mean_observed_risk_difference": -0.45190277777777776, "treatment_risk": 0.14999999999999997 }, { "absolute_risk_reduction": 0.5, "estimated_power": 0.99975, "mean_observed_risk_difference": -0.5008020833333333, "treatment_risk": 0.09999999999999998 }, { "absolute_risk_reduction": 0.55, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5521805555555556, "treatment_risk": 0.04999999999999993 }, { "absolute_risk_reduction": 0.6, "estimated_power": 1.0, "mean_observed_risk_difference": -0.60290625, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.6, "task_latent_correlation": 0.6, "within_run_phase_increment": 0.0 }, { "baseline_risk": 0.6, "empirical_two_sided_critical_value": 2.1999999999999997, "minimum_grid_effect_at_target_power": 0.3, "power_curve": [ { "absolute_risk_reduction": 0.0, "estimated_power": 0.0415, "mean_observed_risk_difference": -0.0013472222222222223, "treatment_risk": 0.6 }, { "absolute_risk_reduction": 0.05, "estimated_power": 0.08325, "mean_observed_risk_difference": -0.05002777777777778, "treatment_risk": 0.5499999999999999 }, { "absolute_risk_reduction": 0.1, "estimated_power": 0.199, "mean_observed_risk_difference": -0.10004166666666667, "treatment_risk": 0.5 }, { "absolute_risk_reduction": 0.15, "estimated_power": 0.384, "mean_observed_risk_difference": -0.14946875, "treatment_risk": 0.44999999999999996 }, { "absolute_risk_reduction": 0.2, "estimated_power": 0.6205, "mean_observed_risk_difference": -0.20031597222222222, "treatment_risk": 0.39999999999999997 }, { "absolute_risk_reduction": 0.25, "estimated_power": 0.79875, "mean_observed_risk_difference": -0.24970486111111112, "treatment_risk": 0.35 }, { "absolute_risk_reduction": 0.3, "estimated_power": 0.915, "mean_observed_risk_difference": -0.29748958333333336, "treatment_risk": 0.3 }, { "absolute_risk_reduction": 0.35, "estimated_power": 0.97325, "mean_observed_risk_difference": -0.34903125, "treatment_risk": 0.25 }, { "absolute_risk_reduction": 0.4, "estimated_power": 0.99475, "mean_observed_risk_difference": -0.39703819444444444, "treatment_risk": 0.19999999999999996 }, { "absolute_risk_reduction": 0.45, "estimated_power": 0.99825, "mean_observed_risk_difference": -0.45008333333333334, "treatment_risk": 0.14999999999999997 }, { "absolute_risk_reduction": 0.5, "estimated_power": 0.999, "mean_observed_risk_difference": -0.49903819444444447, "treatment_risk": 0.09999999999999998 }, { "absolute_risk_reduction": 0.55, "estimated_power": 1.0, "mean_observed_risk_difference": -0.5510625, "treatment_risk": 0.04999999999999993 }, { "absolute_risk_reduction": 0.6, "estimated_power": 1.0, "mean_observed_risk_difference": -0.60125, "treatment_risk": 0.0 } ], "same_run_phase_latent_correlation": 0.8, "task_latent_correlation": 0.6, "within_run_phase_increment": 0.2 } ] }