{
  "evaluation_id": "EVAL-20260207-144351",
  "question_id": "ANALYSIS-005",
  "question_text": "Your team ran an A/B test on a checkout flow. Here are the results:\n\nControl (A): 10,000 visitors, 320 conversions (3.2%)\nTreatment (B): 10,000 visitors, 380 conversions (3.8%)\n\nThe product manager says: \"B wins! Let's ship it - that's an 18.75% improvement!\"\n\n1. Calculate the statistical significance (provide p-value)\n2. What's the 95% confidence interval for the true difference?\n3. The test ran for 2 days. What concerns does this raise?\n4. You discover Treatment B had a bug on iOS that blocked 2,000 users from even reaching checkout. How does this change your analysis?\n5. What would you recommend?",
  "category": "analysis",
  "timestamp": "2026-02-12T00:00:00.000Z",
  "display_date": "Feb 12, 2026",
  "winner": {
    "name": "MiMo-V2-Flash",
    "provider": "Xiaomi",
    "score": 9.69
  },
  "avg_score": 8.468,
  "matrix_size": 90,
  "models_used": [
    {
      "id": "gemini_3_flash",
      "name": "Gemini 3 Flash Preview",
      "provider": "Google"
    },
    {
      "id": "gemini_2_5_flash",
      "name": "Gemini 2.5 Flash",
      "provider": "Google"
    },
    {
      "id": "gpt_oss_120b",
      "name": "GPT-OSS-120B",
      "provider": "OpenAI"
    },
    {
      "id": "deepseek_v3",
      "name": "DeepSeek V3.2",
      "provider": "DeepSeek"
    },
    {
      "id": "claude_sonnet",
      "name": "Claude Sonnet 4.5",
      "provider": "Anthropic"
    },
    {
      "id": "claude_opus",
      "name": "Claude Opus 4.5",
      "provider": "Anthropic"
    },
    {
      "id": "gpt_oss_legal",
      "name": "GPT-OSS-Legal",
      "provider": "OpenAI"
    },
    {
      "id": "gemini_3_pro",
      "name": "Gemini 3 Pro Preview",
      "provider": "Google"
    },
    {
      "id": "grok_4_1_fast",
      "name": "Grok 4.1 Fast",
      "provider": "xAI"
    },
    {
      "id": "mimo_v2_flash",
      "name": "MiMo-V2-Flash",
      "provider": "Xiaomi"
    }
  ],
  "rankings": {
    "mimo_v2_flash": {
      "display_name": "MiMo-V2-Flash",
      "provider": "Xiaomi",
      "average_score": 9.69,
      "score_count": 7,
      "min_score": 9,
      "max_score": 10,
      "rank": 1
    },
    "claude_sonnet": {
      "display_name": "Claude Sonnet 4.5",
      "provider": "Anthropic",
      "average_score": 9.61,
      "score_count": 7,
      "min_score": 8.8,
      "max_score": 10,
      "rank": 2
    },
    "deepseek_v3": {
      "display_name": "DeepSeek V3.2",
      "provider": "DeepSeek",
      "average_score": 9.56,
      "score_count": 7,
      "min_score": 8.8,
      "max_score": 10,
      "rank": 3
    },
    "claude_opus": {
      "display_name": "Claude Opus 4.5",
      "provider": "Anthropic",
      "average_score": 9.53,
      "score_count": 7,
      "min_score": 8.8,
      "max_score": 10,
      "rank": 4
    },
    "gemini_3_flash": {
      "display_name": "Gemini 3 Flash Preview",
      "provider": "Google",
      "average_score": 9.43,
      "score_count": 7,
      "min_score": 8.55,
      "max_score": 10,
      "rank": 5
    },
    "grok_4_1_fast": {
      "display_name": "Grok 4.1 Fast",
      "provider": "xAI",
      "average_score": 9.39,
      "score_count": 6,
      "min_score": 9,
      "max_score": 9.55,
      "rank": 6
    },
    "gpt_oss_120b": {
      "display_name": "GPT-OSS-120B",
      "provider": "OpenAI",
      "average_score": 8.63,
      "score_count": 7,
      "min_score": 8.1,
      "max_score": 9,
      "rank": 7
    },
    "gemini_2_5_flash": {
      "display_name": "Gemini 2.5 Flash",
      "provider": "Google",
      "average_score": 8.33,
      "score_count": 8,
      "min_score": 6.5,
      "max_score": 9.45,
      "rank": 8
    },
    "gpt_oss_legal": {
      "display_name": "GPT-OSS-Legal",
      "provider": "OpenAI",
      "average_score": 7.69,
      "score_count": 8,
      "min_score": 5.8,
      "max_score": 9,
      "rank": 9
    },
    "gemini_3_pro": {
      "display_name": "Gemini 3 Pro Preview",
      "provider": "Google",
      "average_score": 2.82,
      "score_count": 9,
      "min_score": 1.5,
      "max_score": 5.8,
      "rank": 10
    }
  },
  "judgments": [
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 8.55,
      "brief_justification": "The response is factually accurate and logically sound, with minor issues like a slight miscalculation in the confidence interval lower bound. It thoroughly addresses all parts of the question with clear structure and provides actionable recommendations, though deeper statistical nuance could be added."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.8,
      "brief_justification": "The response is factually accurate, methodically structured, and provides actionable insights, though it slightly overstates the significance of the initial p-value and could delve deeper into the implications of the iOS bug."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.55,
      "brief_justification": "The response provides accurate statistical calculations and clear explanations, but it is incomplete as it cuts off mid-sentence in part 4 and does not fully address parts 4 and 5, which limits its completeness and usefulness."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 9,
      "brief_justification": "The response is factually accurate, well-structured, and provides actionable recommendations, but the analysis of the iOS bug could be more nuanced regarding bias and the statistical implications."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 9.35,
      "brief_justification": "The response is factually accurate, thoroughly addresses all parts of the question, is exceptionally clear and well-structured, provides insightful analysis (especially on the bug's impact), and offers highly actionable recommendations."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 9.35,
      "brief_justification": "The response is factually accurate with correct statistical calculations, thoroughly addresses all parts of the question, is well-structured, provides insightful analysis of data integrity and test design, and offers highly actionable recommendations."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 7.3,
      "brief_justification": "The statistical calculations are largely correct and clearly presented, but the response is incomplete as it cuts off mid-sentence in part 3 and entirely omits parts 4 and 5, which are critical for a full analysis."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 2.65,
      "brief_justification": "The response is incomplete and cuts off mid-calculation, failing to provide the requested p-value, confidence interval, or analysis of the bug and test duration concerns. It only begins the statistical test and does not address most of the question's parts."
    },
    {
      "judge_key": "mimo_v2_flash",
      "judge_name": "MiMo-V2-Flash",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 9.55,
      "brief_justification": "The response is factually accurate, covers all parts of the question thoroughly, is exceptionally clear and well-structured, provides insightful analysis (e.g., bug impact, test validity), and offers highly actionable recommendations."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally thorough and accurate. It correctly calculates the p-value and confidence interval using the appropriate statistical formulas, identifies critical experimental design flaws (duration and novelty effects), and provides a sophisticated analysis of the selection bias introduced by the iOS bug. The recommendation is professional, actionable, and prioritizes data integrity."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 9.45,
      "brief_justification": "The response provides accurate statistical calculations for the p-value and confidence interval. It correctly identifies the external validity issues with a 2-day test and recognizes that the iOS bug introduces a massive selection bias/underestimation of the true potential of Treatment B, although the response cuts off slightly at the very end."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.85,
      "brief_justification": "The response provides accurate statistical calculations for the p-value and confidence interval. It offers a sophisticated analysis of the risks of short-duration testing and the implications of the iOS bug, though the response cuts off mid-sentence at the very end, failing to provide the final recommendation."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 9.8,
      "brief_justification": "The response provides accurate statistical calculations for the p-value and confidence interval. It correctly identifies the critical issues regarding test duration and selection bias introduced by the iOS bug, offering a sound and actionable recommendation."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally accurate and thorough. It correctly calculates the p-value and confidence interval using the two-proportion z-test, identifies the critical statistical flaws of a 2-day test (weekly seasonality), and provides a sophisticated analysis of how the iOS bug introduces selection bias that likely reverses the test's conclusion. The recommendations are professional, actionable, and demonstrate a high level of expertise in data science and product management."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally accurate, providing precise statistical calculations for both the p-value and confidence interval. It correctly identifies the critical sampling bias introduced by the iOS bug and provides a professional, actionable recommendation that prioritizes data integrity over misleading metrics."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 8.1,
      "brief_justification": "The response provides accurate statistical calculations for the p-value and confidence interval. However, it is incomplete as it cuts off mid-sentence in section 3 and entirely fails to address questions 4 and 5."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 4.4,
      "brief_justification": "The response is incomplete and cuts off mid-formula in the first section, failing to answer four out of the five questions asked."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9,
      "brief_justification": "The response gives accurate statistical calculations, covers all requested points, explains implications clearly, adds insightful discussion of biases and test duration, and offers concrete, actionable recommendations."
    },
    {
      "judge_key": "gemini_3_flash",
      "judge_name": "Gemini 3 Flash Preview",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 9.55,
      "brief_justification": "The response is excellent, providing accurate statistical calculations and sound product reasoning. It correctly identifies that the 95% CI does not include zero (contradicting its own parenthetical note in section 2, which is a minor error as 0.0009 > 0), and offers high-quality analysis regarding the iOS bug and the risks of short-duration testing."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally thorough, accurate, and well-structured, addressing all parts of the prompt with detailed explanations and correct calculations. It demonstrates a deep understanding of A/B testing principles and potential pitfalls."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 10,
      "brief_justification": "The response provides accurate calculations, comprehensive explanations for each question, and actionable recommendations. It correctly identifies the impact of the bug and the limitations of a short test duration."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 9,
      "brief_justification": "The response provides a thorough and accurate analysis of the A/B test results, including statistical calculations, interpretation of concerns, and a detailed re-evaluation based on new information. The explanation of the iOS bug's impact is particularly well-handled."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 10,
      "brief_justification": "The response provides accurate calculations, comprehensive explanations for all parts of the question, and actionable recommendations. It demonstrates a deep understanding of A/B testing principles and potential pitfalls."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 10,
      "brief_justification": "The response is exceptionally thorough, accurate, and insightful, addressing all aspects of the prompt with clear explanations and practical recommendations."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 9,
      "brief_justification": "The response provides a comprehensive and mostly accurate analysis, addressing all parts of the question with good detail and practical recommendations. The statistical calculations are correct, and the qualitative concerns are well-articulated."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 9,
      "brief_justification": "The response provides a comprehensive and accurate analysis of the A/B test results, including statistical calculations and insightful considerations for the given scenario."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 2.85,
      "brief_justification": "The response is incomplete, stopping mid-calculation for the first question. It doesn't address any of the other questions asked."
    },
    {
      "judge_key": "gemini_2_5_flash",
      "judge_name": "Gemini 2.5 Flash",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 9,
      "brief_justification": "The response provides accurate calculations and insightful analysis for each part of the question, demonstrating a strong understanding of A/B testing principles and practical considerations."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 6.5,
      "brief_justification": "The statistical calculations and discussion of short test duration are correct and clear, but the answer cuts off before completing the bug impact analysis, revised metrics, and final recommendation, reducing completeness and overall usefulness."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 5.8,
      "brief_justification": "The statistical calculations are accurate and well‑explained, but the answer cuts off before addressing the iOS bug and recommendations, leaving the response incomplete and limiting its practical value."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 2.45,
      "brief_justification": "The answer starts correctly but is truncated, lacking the p‑value, confidence interval, discussion of timing concerns, bug impact, and recommendations, making it largely incomplete and of limited practical value."
    },
    {
      "judge_key": "gpt_oss_120b",
      "judge_name": "GPT-OSS-120B",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9.55,
      "brief_justification": "The response provides accurate statistical calculations, thoroughly addresses all parts of the question including nuanced concerns, and offers a clear, actionable recommendation grounded in the analysis."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 9.55,
      "brief_justification": "The response is highly accurate in statistical calculations, comprehensively addresses all parts of the question, provides clear and structured explanations, offers deep insights into potential biases and practical implications, and delivers actionable, well-reasoned recommendations."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 9.35,
      "brief_justification": "The response is highly accurate in its statistical calculations and provides a thorough, well-structured analysis of the test's validity, including the critical impact of the iOS bug, making it extremely actionable for decision-making."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.8,
      "brief_justification": "The response is highly accurate in its statistical calculations and provides a thorough, well-structured analysis of the A/B test results, including practical concerns and actionable recommendations, though the completeness is slightly reduced as the final recommendation is cut off mid-sentence."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 9.55,
      "brief_justification": "The response is highly accurate in calculations and reasoning, thoroughly addresses all parts of the question, clearly structured, provides deep insights into biases and practical implications, and offers actionable, well-prioritized recommendations."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 10,
      "brief_justification": "The response accurately calculates statistical significance and confidence intervals, thoroughly addresses all question parts with clear, structured explanations, provides deep insights into testing pitfalls and biases, and offers practical, actionable recommendations for next steps."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 8.6,
      "brief_justification": "The response provides accurate statistical calculations with clear formulas and correct p-value (0.02) and confidence interval, addresses key concerns about short test duration, and demonstrates practical understanding of experimental validity issues, though it's incomplete as it cuts off mid-sentence in the final section."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 1.5,
      "brief_justification": "The response is incomplete, cutting off mid-calculation and failing to address four out of five question parts, rendering it largely incorrect and not actionable."
    },
    {
      "judge_key": "deepseek_v3",
      "judge_name": "DeepSeek V3.2",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 9.35,
      "brief_justification": "The response accurately calculates the p-value and confidence interval, thoroughly addresses concerns about test duration and the iOS bug, and provides actionable, well-reasoned recommendations, though the CI interpretation slightly conflicts with the p-value significance."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9.75,
      "brief_justification": "Exceptional response with accurate statistical calculations, thorough analysis of all concerns, and actionable recommendations. Minor point: the iOS bug analysis could have explored whether the 2,000 blocked users might have had different baseline conversion rates, but the core reasoning about selection bias is sound."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 9.55,
      "brief_justification": "Excellent statistical analysis with correct calculations, proper identification of the iOS bug's impact, and actionable recommendations. Minor point: could have mentioned multiple testing corrections or power analysis, but overall exceptionally thorough and practical."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 9.2,
      "brief_justification": "Excellent statistical analysis with proper methodology (two-proportion z-test, correct formulas, accurate calculations). The response demonstrates strong understanding of A/B testing pitfalls, though it appears truncated at the end of question 4, preventing assessment of the final recommendation."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.65,
      "brief_justification": "Excellent statistical analysis with correct z-test calculations, p-value (~0.02), and confidence interval. The response demonstrates strong understanding of A/B testing pitfalls and provides thorough coverage of temporal validity concerns and the iOS bug impact, though the answer appears truncated at the end."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 9.8,
      "brief_justification": "Mathematically precise calculations with correct statistical methodology, comprehensive coverage of all questions including nuanced discussion of the iOS bug's impact on validity, and actionable recommendations grounded in sound experimental design principles."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 9.55,
      "brief_justification": "Excellent statistical analysis with correct calculations, comprehensive identification of issues, and actionable recommendations. Minor point: could have explored more scenarios for the iOS bug impact, but overall this is a thorough, professional response that addresses all aspects of the question with appropriate rigor."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 7.9,
      "brief_justification": "Excellent statistical analysis with correct p-value calculation and confidence intervals. However, the response appears truncated (cuts off mid-sentence in question 3) and doesn't address questions 4-5, significantly impacting completeness despite strong technical accuracy on covered material."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 2.1,
      "brief_justification": "The response is incomplete, cutting off mid-calculation in question 1. It shows correct setup for the Z-test but provides no p-value, confidence interval, addresses none of the critical concerns about test duration or the iOS bug, and offers no recommendation."
    },
    {
      "judge_key": "claude_sonnet",
      "judge_name": "Claude Sonnet 4.5",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 9.55,
      "brief_justification": "Excellent statistical analysis with accurate calculations, proper hypothesis testing, and insightful recognition that the iOS bug actually understates Treatment B's performance. Comprehensive coverage of all concerns with actionable recommendations, though notation could be slightly more accessible for non-technical stakeholders."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 9.55,
      "brief_justification": "Excellent response with accurate statistical calculations (p-value ~0.021, CI correctly computed), thorough coverage of all five questions, and particularly strong analysis of the iOS bug's impact on data validity. The recommendation section is highly actionable with a clear step-by-step plan. Minor note: the Simpson's Paradox reference isn't quite technically accurate for this scenario (it's more straightforward selection bias), but the underlying analysis is sound."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 9.55,
      "brief_justification": "The response provides accurate statistical calculations (p-value, CI), correctly identifies all major concerns with the 2-day test duration, and thoroughly analyzes how the iOS bug invalidates results. The recommendation is practical and actionable. Minor deduction for using 'collider bias' somewhat loosely when 'selection bias' or 'differential attrition' would be more precise terminology."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 7.95,
      "brief_justification": "The statistical calculations are accurate with correct methodology for z-test and confidence intervals. The concerns about 2-day testing are comprehensive and well-articulated. However, the response is incomplete - it cuts off mid-sentence during the critical iOS bug analysis (question 4) and never provides the final recommendation (question 5), significantly reducing its practical usefulness despite strong work on the completed portions."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.1,
      "brief_justification": "The statistical calculations (p-value ~0.02, CI, z-test) are accurate and well-presented. The analysis of the 2-day test concerns is thorough and insightful. However, the response appears truncated - it cuts off mid-sentence during the iOS bug analysis (section 4) and completely omits section 5 (recommendations), which significantly impacts completeness and usefulness for the decision-maker."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 9.55,
      "brief_justification": "Excellent response with accurate statistical calculations (p-value ~0.021, CI correctly computed), thorough coverage of all five questions, and strong practical reasoning. The analysis of the iOS bug correctly identifies selection bias and confounding issues. Minor note: the CI standard error calculation could use the unpooled formula more explicitly, but the result is essentially correct. Recommendations are actionable and well-justified."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 9.55,
      "brief_justification": "Excellent statistical analysis with correct calculations (p-value, CI), thorough identification of duration concerns, and insightful treatment of the iOS bug's selection bias implications. The response provides actionable recommendations with proper prioritization. Minor deduction for not explicitly showing the corrected conversion rate calculation accounting for the bug's full impact, but the conceptual analysis is sound."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 6.65,
      "brief_justification": "The statistical calculations for p-value and confidence interval are accurate and well-presented. However, the response is clearly truncated mid-sentence, missing the critical analysis of the iOS bug impact (question 4) and the final recommendation (question 5). These are arguably the most important parts of the question as they test practical data science judgment."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 1.65,
      "brief_justification": "The response is severely incomplete, cutting off mid-calculation after only beginning to address the first of five questions. While the initial setup for the Z-test appears correct, no p-value, confidence interval, or analysis of the duration concerns, iOS bug implications, or recommendations are provided."
    },
    {
      "judge_key": "claude_opus",
      "judge_name": "Claude Opus 4.5",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 9.35,
      "brief_justification": "Excellent response with accurate statistical calculations (p-value ~0.021, correct CI methodology), though the CI interpretation has a minor issue (the CI doesn't actually include 0 given the bounds stated). The analysis of the 2-day duration concerns and iOS bug impact is thorough and insightful. The recommendation is practical, well-reasoned, and actionable with clear next steps. Strong demonstration of both statistical rigor and business judgment."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 8.8,
      "brief_justification": "The response gives accurate statistical calculations, covers all asked points, explains implications clearly, and offers practical next steps, though it could explore more nuanced re‑analysis methods."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 6.95,
      "brief_justification": "The statistical calculations and discussion of short test duration are accurate and clearly presented, but the answer cuts off during the bug analysis and never provides a final recommendation, leaving the response incomplete."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 8.8,
      "brief_justification": "The answer gives accurate calculations, sensible confidence interval, and relevant concerns about test duration and the iOS bug, with clear presentation and practical recommendations, though it could delve deeper into statistical power and alternative analysis methods."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 8.8,
      "brief_justification": "The answer provides accurate statistical calculations, covers all requested points, is well‑structured, and offers insightful discussion of bias and practical next steps, though the depth could include more detailed power analysis."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 8.8,
      "brief_justification": "The answer correctly computes the p‑value and confidence interval, addresses test‑duration concerns, explains the bias introduced by the iOS bug, and gives clear, actionable recommendations, though it could have quantified the statistical impact of the bug more precisely."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 2,
      "brief_justification": "The answer starts correctly but is truncated, missing the p‑value, confidence interval, discussion of duration concerns, bug impact, and recommendations, making it largely incomplete and of limited practical value."
    },
    {
      "judge_key": "gpt_oss_legal",
      "judge_name": "GPT-OSS-Legal",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "gemini_3_pro",
      "judge_name": "Gemini 3 Pro Preview",
      "respondent_key": "grok_4_1_fast",
      "respondent_name": "Grok 4.1 Fast",
      "weighted_score": 0,
      "brief_justification": ""
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "mimo_v2_flash",
      "respondent_name": "MiMo-V2-Flash",
      "weighted_score": 10,
      "brief_justification": "The response delivers precise statistical calculations, thorough coverage of all questions with insightful analysis of biases like Simpson's paradox and novelty effects, and a highly actionable recommendation plan."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "gemini_3_flash",
      "respondent_name": "Gemini 3 Flash Preview",
      "weighted_score": 10,
      "brief_justification": "The response provides precise statistical calculations, comprehensive coverage of all questions, clear structure with formulas and explanations, insightful analysis of biases like collider bias and seasonality, and highly practical recommendations for re-testing and QA."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "gemini_2_5_flash",
      "respondent_name": "Gemini 2.5 Flash",
      "weighted_score": 8.45,
      "brief_justification": "Response excels in accurate, detailed calculations for p-value and CI, plus insightful concerns on short test duration, but is cut off mid-analysis for the bug impact and entirely omits the recommendation."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "gpt_oss_120b",
      "respondent_name": "GPT-OSS-120B",
      "weighted_score": 8.45,
      "brief_justification": "The response accurately calculates significance and CI, provides deep insights on short test concerns, and correctly identifies the bug's impact, but is incomplete as it cuts off mid-analysis in part 4 and omits part 5 recommendations."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "deepseek_v3",
      "respondent_name": "DeepSeek V3.2",
      "weighted_score": 10,
      "brief_justification": "The response provides accurate statistical calculations, comprehensive coverage of all questions with insightful analysis of biases and test limitations, clear structure with formatted math, and highly practical recommendations with actionable next steps."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "claude_sonnet",
      "respondent_name": "Claude Sonnet 4.5",
      "weighted_score": 10,
      "brief_justification": "The response provides precise, accurate statistical calculations, comprehensively covers all five questions with insightful analysis of biases and limitations, and delivers highly practical, structured recommendations beyond surface-level answers."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "claude_opus",
      "respondent_name": "Claude Opus 4.5",
      "weighted_score": 10,
      "brief_justification": "The response delivers precise statistical calculations, thorough coverage of all questions with insightful implications like CI width and bug biases, and highly practical recommendations in a clear, structured format."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "gpt_oss_legal",
      "respondent_name": "GPT-OSS-Legal",
      "weighted_score": 8.15,
      "brief_justification": "The response provides accurate statistical calculations and insightful concerns for parts 1-3, but is incomplete as it cuts off mid-sentence in part 3 and entirely omits parts 4 and 5."
    },
    {
      "judge_key": "grok_4_1_fast",
      "judge_name": "Grok 4.1 Fast",
      "respondent_key": "gemini_3_pro",
      "respondent_name": "Gemini 3 Pro Preview",
      "weighted_score": 5.8,
      "brief_justification": "The response accurately initiates the Z-test for proportions with correct calculations for sample proportions and pooled proportion, but it is incomplete, cutting off mid-formula and ignoring parts 2-5 entirely."
    }
  ],
  "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)"
  }
}