{
  "evaluation_id": "EVAL-20260402-162422",
  "question_id": "REASON-012",
  "question_text": "A disease affects 1 in 10,000 people. A test for the disease is 99% sensitive (true positive rate) and 99.5% specific (true negative rate). A patient tests positive. (1) What is the probability they have the disease? (2) If they test positive twice with independent tests, what is the probability? (3) A doctor says 'You tested positive, so you almost certainly have it.' Critique this reasoning. (4) Design a testing protocol that achieves >95% positive predictive value.",
  "category": "reasoning",
  "timestamp": "2026-04-02T16:24:22.504Z",
  "display_date": "Apr 02, 2026",
  "winner": {
    "name": "DeepSeek V4",
    "provider": "openrouter",
    "score": 8.93
  },
  "avg_score": 7.923,
  "matrix_size": 48,
  "models_used": [
    {
      "id": "minimax_m25",
      "name": "MiniMax M2.5",
      "provider": "openrouter"
    },
    {
      "id": "grok_420",
      "name": "Grok 4.20",
      "provider": "openrouter"
    },
    {
      "id": "claude_sonnet_46",
      "name": "Claude Sonnet 4.6",
      "provider": "openrouter"
    },
    {
      "id": "gpt_oss_120b",
      "name": "GPT-OSS-120B",
      "provider": "OpenAI"
    },
    {
      "id": "gemini_25_flash",
      "name": "Gemini 2.5 Flash",
      "provider": "openrouter"
    },
    {
      "id": "claude_opus_46",
      "name": "Claude Opus 4.6",
      "provider": "openrouter"
    },
    {
      "id": "gemini_31_pro",
      "name": "Gemini 3.1 Pro",
      "provider": "openrouter"
    },
    {
      "id": "deepseek_v4",
      "name": "DeepSeek V4",
      "provider": "openrouter"
    },
    {
      "id": "gpt_5_4",
      "name": "GPT-5.4",
      "provider": "openrouter"
    },
    {
      "id": "mimo_v2_flash",
      "name": "MiMo-V2-Flash",
      "provider": "Xiaomi"
    }
  ],
  "rankings": {
    "gpt_5_4": {
      "display_name": "GPT-5.4",
      "provider": "openrouter",
      "average_score": 9.54,
      "score_count": 6,
      "min_score": 8.8,
      "max_score": 10,
      "rank": 1
    },
    "claude_sonnet_46": {
      "display_name": "Claude Sonnet 4.6",
      "provider": "openrouter",
      "average_score": 9.5,
      "score_count": 6,
      "min_score": 8.8,
      "max_score": 10,
      "rank": 2
    },
    "claude_opus_46": {
      "display_name": "Claude Opus 4.6",
      "provider": "openrouter",
      "average_score": 9.17,
      "score_count": 6,
      "min_score": 8.1,
      "max_score": 10,
      "rank": 3
    },
    "deepseek_v4": {
      "display_name": "DeepSeek V4",
      "provider": "openrouter",
      "average_score": 8.93,
      "score_count": 8,
      "min_score": 7.75,
      "max_score": 10,
      "rank": 4
    },
    "mimo_v2_flash": {
      "display_name": "MiMo-V2-Flash",
      "provider": "Xiaomi",
      "average_score": 8.9,
      "score_count": 2,
      "min_score": 8.8,
      "max_score": 9,
      "rank": 5
    },
    "gpt_oss_120b": {
      "display_name": "GPT-OSS-120B",
      "provider": "OpenAI",
      "average_score": 8.8,
      "score_count": 3,
      "min_score": 8.6,
      "max_score": 9,
      "rank": 6
    },
    "minimax_m25": {
      "display_name": "MiniMax M2.5",
      "provider": "openrouter",
      "average_score": 8.5,
      "score_count": 4,
      "min_score": 8.05,
      "max_score": 9,
      "rank": 7
    },
    "gemini_25_flash": {
      "display_name": "Gemini 2.5 Flash",
      "provider": "openrouter",
      "average_score": 6.63,
      "score_count": 4,
      "min_score": 1.25,
      "max_score": 8.6,
      "rank": 8
    },
    "grok_420": {
      "display_name": "Grok 4.20",
      "provider": "openrouter",
      "average_score": 6.15,
      "score_count": 3,
      "min_score": 1.45,
      "max_score": 9,
      "rank": 9
    },
    "gemini_31_pro": {
      "display_name": "Gemini 3.1 Pro",
      "provider": "openrouter",
      "average_score": 3.12,
      "score_count": 6,
      "min_score": 1.15,
      "max_score": 8.45,
      "rank": 10
    }
  },
  "judgments": [
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "minimax_m25",
      "respondent_name": "MiniMax M2.5",
      "weighted_score": 8.05,
      "brief_justification": "Accurate calculations and logical critique, but lacks deeper statistical insights."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 8,
      "brief_justification": "Accurate Bayesian calculation for part 1, correct for part 2, good critique in part 3, and practical protocol in part 4, though some minor omissions in completeness."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 10,
      "brief_justification": "All calculations are accurate, explanations are thorough and clear, and the response provides deep insight and practical protocols."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.6,
      "brief_justification": "Accurate Bayesian calculations, thorough coverage of all sub-questions, clear structure, insightful critique of base rate neglect, and practical protocol design."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.6,
      "brief_justification": "Accurate Bayesian calculations, strong critique of doctor's fallacy, and practical protocol design. Minor omission: no explicit calculation for part 2."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "minimax_m25",
      "respondent_name": "MiniMax M2.5",
      "weighted_score": 8.35,
      "brief_justification": "Accurate Bayesian calculation for part 1, correct extension for part 2, clear critique of base rate neglect, and a practical protocol design for part 4."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 8.1,
      "brief_justification": "Accurate calculations and solid critique; clear presentation with good depth, but the testing protocol description is cut off, reducing completeness and practical utility."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 3.2,
      "brief_justification": "The answer is incomplete, cutting off before providing calculations, conclusions, critique, or protocol design, so factual correctness and coverage are low. The partial text is moderately clear but lacks depth and practical value."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 9.05,
      "brief_justification": "Accurate calculations, covers all questions, clear presentation, good analytical insight, and offers a practical testing protocol."
    },
    {
      "judge_key": "deepseek_v4",
      "judge_name": "DeepSeek V4",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.05,
      "brief_justification": "Accurate calculations and clear explanations, but lacks deeper critique of the doctor's statement and more detailed protocol design."
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 7.75,
      "brief_justification": "The response is well-structured and clearly presented. Parts (1), (2), and (3) are correct. However, in Part (4), there's a computational error for n=3: 0.99^3 should be ~0.970299, so the true positive term should be 0.970299 * 0.0001 ≈ 0.0000970299, not 0.0009703. Despite this arithmetic error, the conclusion that 3 tests achieves >95% PPV is actually correct (the PPV works out to ~99.87%). The response also could have discussed sequential/confirmatory testing protocols more thoroughly (e.g., s"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 9.4,
      "brief_justification": "Excellent response with accurate Bayesian calculations, clear visual aids (tables, decision trees, frequency illustrations), thorough critique of the doctor's reasoning covering multiple angles (base rate neglect, conditional transposition, prosecutor's fallacy), and a comprehensive multi-strategy testing protocol. Minor nit: the 79.7% figure uses a rounded prior (0.0194) which introduces small rounding differences, and the 'Error 3' about 51 patients harmed is a bit loosely stated, but these ar"
    },
    {
      "judge_key": "claude_opus_46",
      "judge_name": "Claude Opus 4.6",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 1.25,
      "brief_justification": "The response is completely empty - no content was provided to evaluate. The question requires detailed Bayesian probability calculations and medical reasoning, but nothing was answered."
    },
    {
      "judge_key": "gpt_5_4",
      "judge_name": "GPT-5.4",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 8.55,
      "brief_justification": "Accurate Bayes calculations for one and two positives, and a solid critique of base-rate neglect. The main issue is a numerical error in part (4): the three-test true-positive term is off by a factor of 10, though the conclusion that three independent positives exceed 95% PPV is still correct. Clear, thorough, and practically useful overall."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.15,
      "brief_justification": "The response is incomplete and does not address any of the four questions asked. It stops abruptly after defining variables for Bayes' theorem without providing any calculations or analysis."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 8.8,
      "brief_justification": "Accurate Bayesian calculations with minor rounding/notation issues; complete coverage of all four parts; clear structure and formulas; good depth in critique and protocol design; highly useful practical insights."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 8.8,
      "brief_justification": "Response is factually accurate with precise calculations using Bayes' theorem and natural frequencies. It fully addresses all four parts with clear structure, intuitive explanations, and insightful critique. The protocol design is practical though the response is slightly truncated at the end."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 8.8,
      "brief_justification": "Response is factually accurate with precise Bayesian calculations, thorough explanations including frequency version and practical notes, clear structure with boxed answers, good insight on base rate fallacy and real-world caveats, highly actionable protocol design."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 9,
      "brief_justification": "Response is factually accurate with precise calculations, uses multiple verification methods, provides intuitive explanations, thorough critique, and multiple practical protocol options. Minor rounding differences (79.7% vs 79.9%) do not affect overall correctness."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 8.8,
      "brief_justification": "The response accurately applies Bayes' theorem with correct calculations for all parts, provides clear explanations, critiques the base rate fallacy effectively, and offers a practical multi-test protocol achieving the desired PPV."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.8,
      "brief_justification": "Accurate Bayesian calculations with clear explanations, good critique, and practical protocol design. Minor rounding in percentages but overall excellent."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "gemini_25_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.6,
      "brief_justification": "The response correctly applies Bayes' theorem with accurate calculations for (1) and (2), provides a solid critique in (3), and offers a practical protocol in (4). Minor omission of exact formulas but overall thorough, clear, and insightful."
    },
    {
      "judge_key": "grok_420",
      "judge_name": "Grok 4.20",
      "respondent_key": "minimax_m25",
      "respondent_name": "MiniMax M2.5",
      "weighted_score": 8.6,
      "brief_justification": "The response accurately applies Bayes' theorem with correct calculations for (1) and (2), provides a solid critique in (3), and offers a practical protocol in (4). Minor room for more explicit formulas but overall thorough and clear."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.65,
      "brief_justification": "The response is incomplete - it cuts off mid-sentence after barely starting to define variables for part 1. None of the four questions are actually answered. The response provides no mathematical calculations, no Bayesian analysis, no critique of the doctor's reasoning, and no testing protocol design. It is essentially a non-answer."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 8.4,
      "brief_justification": "The response is mathematically sound and well-structured. Part 1 and 2 calculations are correct. Part 3 critique is solid and identifies base rate neglect clearly. Part 4 has a calculation error - the true positive probability for n=3 should be 0.99^3 * 0.0001 ≈ 0.0000970, not 0.0009703 (off by factor of 10), though the conclusion (3 tests achieves >95% PPV) is still correct since the false positive term is negligible. The approach 2 analysis is somewhat incomplete. Overall, the response demonst"
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 9,
      "brief_justification": "Excellent response with accurate Bayes' theorem calculations, natural frequency tables, likelihood ratio approach, and strong critique of the doctor's reasoning. The response is cut off before completing part 4, but what is shown is thorough and correct. Minor issue: the response appears truncated at Stage 3 of the protocol design, losing some completeness points. The mathematical work is rigorous, the prosecutor's fallacy identification is accurate, and the practical recommendations are sound."
    },
    {
      "judge_key": "claude_sonnet_46",
      "judge_name": "Claude Sonnet 4.6",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.8,
      "brief_justification": "Mathematically precise throughout with correct Bayesian calculations for all four parts. Excellent use of frequency framing to illustrate the base rate fallacy. The protocol design is well-reasoned with practical caveats about independence assumptions. The response is exceptionally well-structured, thorough, and actionable."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 2.6,
      "brief_justification": "Response is incomplete and stops mid-sentence, failing to answer any of the four sub-questions. No calculations or analysis provided."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 9.4,
      "brief_justification": "Accurate calculations, thorough coverage, clear structure, insightful critique, and practical protocol design."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 10,
      "brief_justification": "All calculations are correct, the response thoroughly addresses all four parts, is exceptionally clear and well-structured, provides deep insight into Bayesian reasoning and common fallacies, and offers a practical, actionable protocol."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.8,
      "brief_justification": "All calculations are correct, answers are complete and clearly structured, with insightful critique and practical protocol design."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.05,
      "brief_justification": "Accurate calculations and correct Bayesian reasoning; covers all sub‑questions with clear headings and formulas; offers insightful critique and practical multi‑test protocol, noting independence assumptions and real‑world considerations."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 8.8,
      "brief_justification": "Accurate calculations, covers all questions, clear presentation, insightful discussion of fallacies and multiple protocol options, and offers practical steps."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 8.45,
      "brief_justification": "The response provides a correct and clear explanation of Bayes' Theorem and its application. It accurately calculates the probabilities for single and double positive tests. The critique of the doctor's reasoning is sound, and the proposed testing protocol is well-reasoned, though it could be slightly more detailed on implementation challenges."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally well-structured, accurate, and thorough. It correctly applies Bayes' Theorem, provides clear calculations, and offers insightful critiques and practical solutions. The step-by-step breakdown makes it very easy to follow."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 9.45,
      "brief_justification": "The response is highly accurate, complete, and exceptionally clear. It provides detailed explanations, calculations, and a practical testing protocol. The critique of the doctor's reasoning is particularly insightful."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally clear, accurate, and thorough. It correctly applies Bayes' theorem, critiques the doctor's reasoning effectively, and designs a practical testing protocol with excellent explanations and additional insights."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 9,
      "brief_justification": "The response accurately calculates probabilities using Bayes' theorem, clearly explains the intuition behind the low positive predictive value, and proposes a sound testing protocol. The explanation of why the doctor's reasoning is flawed is particularly good."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally thorough, accurate, and well-explained. It covers all aspects of the question with clear calculations, intuitive explanations, and practical recommendations. The critique of the doctor's reasoning is particularly insightful."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9,
      "brief_justification": "The response provides accurate calculations and clear explanations for all parts of the question. It demonstrates a good understanding of Bayesian probability and its application in medical testing, including the design of a testing protocol."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9,
      "brief_justification": "The response accurately calculates the probabilities using Bayes' theorem and provides a good critique of the doctor's reasoning. The proposed testing protocol is sound and addresses the high false positive rate effectively. The explanation of the calculations is clear and easy to follow."
    },
    {
      "judge_key": "gemini_25_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "minimax_m25",
      "respondent_name": "MiniMax M2.5",
      "weighted_score": 9,
      "brief_justification": "The response provides a comprehensive and accurate solution to a complex probability problem, demonstrating a strong understanding of Bayes' theorem and its application in medical diagnostics. The explanations are clear, and the critique of the doctor's reasoning is insightful. The proposed testing protocol is well-reasoned and practical."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gemini_31_pro",
      "respondent_name": "Gemini 3.1 Pro",
      "weighted_score": 1.65,
      "brief_justification": "Response is severely incomplete - only begins to define variables for Bayes' Theorem then cuts off mid-sentence. Does not answer any of the four questions posed."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "deepseek_v4",
      "respondent_name": "DeepSeek V4",
      "weighted_score": 9.45,
      "brief_justification": "Excellent response with correct Bayesian calculations for all parts. Clear structure with proper mathematical notation. Thoroughly explains base rate fallacy in the doctor's critique. Provides multiple valid approaches for achieving >95% PPV. Well-organized and easy to follow."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "claude_opus_46",
      "respondent_name": "Claude Opus 4.6",
      "weighted_score": 9.65,
      "brief_justification": "Mathematically correct with excellent natural frequency explanations and likelihood ratio approach. Thorough critique of base rate neglect with research citations. Protocol design is sound but response appears cut off at end of part (4). Overall very comprehensive and insightful."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "gpt_5_4",
      "respondent_name": "GPT-5.4",
      "weighted_score": 9.8,
      "brief_justification": "Accurate Bayes' theorem calculations throughout. Thorough coverage of all four parts with clear step-by-step explanations. Good depth including base rate fallacy explanation, frequency-based interpretation, and practical considerations. Highly actionable protocol design."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "grok_420",
      "respondent_name": "Grok 4.20",
      "weighted_score": 1.45,
      "brief_justification": "No response provided to evaluate."
    },
    {
      "judge_key": "minimax_m25",
      "judge_name": "MiniMax M2.5",
      "respondent_key": "claude_sonnet_46",
      "respondent_name": "Claude Sonnet 4.6",
      "weighted_score": 9.8,
      "brief_justification": "Excellent response with mathematically correct Bayes calculations, comprehensive coverage of all four parts, exceptionally clear presentation with tables and decision trees, insightful depth including psychological mechanisms and multiple strategies, and highly actionable clinical protocol."
    }
  ],
  "meta": {
    "source": "The Multivac (app.themultivac.com)",
    "methodology": "10x10 blind peer matrix evaluation",
    "criteria": "correctness, completeness, clarity, depth, usefulness",
    "self_judgments": "excluded from rankings",
    "license": "Open data — cite as: The Multivac (2026)"
  }
}