{
  "date": "2026-04-01",
  "generated_at": "2026-04-01T07:35:40.148498",
  "projection_type": "strikeout_props",
  "model_version": "strikeout_props_v1_nb_overlay",
  "baseline_model_version": "pitcher_k_v1_regular_16f",
  "matchup_model_version": "matchup_engine_v1_1_deterministic",
  "assumptions": {
    "baseline_projection_type": "pitcher_strikeouts",
    "baseline_model_version": "pitcher_k_v1_regular_16f",
    "matchup_projection_type": "matchups",
    "matchup_model_version": "matchup_engine_v1_1_deterministic",
    "methodology": "Baseline strikeout projections from the pitcher strikeout model are adjusted with a bounded matchup multiplier derived from lineup-level strikeout pressure, projected batting-order context, and pitch-matchup interaction. Threshold probabilities are generated from the matchup-adjusted mean using a deterministic negative-binomial-style count model with empirically estimated overdispersion.",
    "distribution": {
      "name": "negative_binomial_style",
      "alpha": 0.0619,
      "variance_formula": "variance = mean + alpha * mean^2",
      "thresholds": [
        4,
        5,
        6,
        7,
        8
      ]
    },
    "adjustment_bounds": {
      "matchup_ratio_blend": 0.35,
      "score_multiplier_range": [
        0.94,
        1.06
      ],
      "final_multiplier_range": [
        0.85,
        1.15
      ]
    }
  },
  "projected_start_count": 30,
  "skipped_start_count": 0,
  "predictions": [
    {
      "date": "2026-04-01",
      "game_pk": 824940,
      "pitcher_id": 519242,
      "pitcher_name": "Chris Sale",
      "team_id": 144,
      "team_abbr": "ATL",
      "opponent_team_id": 133,
      "opponent_abbr": "ATH",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 77.0,
      "wind_speed_mph": 8.0,
      "wind_direction": "out",
      "environment_summary": "neutral",
      "environment_k_multiplier": 1.0,
      "baseline_projected_strikeouts": 7.2,
      "matchup_adjusted_projected_strikeouts": 7.32,
      "adjustment_delta": 0.12,
      "adjustment_multiplier": 1.017,
      "prob_4_plus": 0.8927,
      "prob_5_plus": 0.8021,
      "prob_6_plus": 0.6881,
      "prob_7_plus": 0.5628,
      "prob_8_plus": 0.4391,
      "context": {
        "aggregate_matchup_score": 82.0,
        "lineup_expected_strikeouts": 7.03,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 25945.0,
        "temperature_f": 77.0,
        "wind_speed_mph": 8.0,
        "wind_direction": "out",
        "environment_summary": "neutral",
        "environment_k_multiplier": 1.0,
        "environment_hr_multiplier": 1.048,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Nick Kurtz",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "Brent Rooker",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Shea Langeliers",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Lawrence Butler",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "Tyler Soderstrom",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Nick Kurtz",
            "matchup_score": 96.8,
            "expected_strikeout_likelihood": 159.1,
            "expected_contact_quality": 78.0
          },
          {
            "hitter_name": "Zack Gelof",
            "matchup_score": 96.8,
            "expected_strikeout_likelihood": 166.0,
            "expected_contact_quality": 69.0
          },
          {
            "hitter_name": "Lawrence Butler",
            "matchup_score": 91.8,
            "expected_strikeout_likelihood": 146.7,
            "expected_contact_quality": 66.1
          }
        ],
        "opponent_team_k_rate": 0.2408
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 824211,
      "pitcher_id": 676979,
      "pitcher_name": "Garrett Crochet",
      "team_id": 111,
      "team_abbr": "BOS",
      "opponent_team_id": 117,
      "opponent_abbr": "HOU",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 76.5,
      "wind_speed_mph": 12.4,
      "wind_direction": "cross",
      "environment_summary": "neutral",
      "environment_k_multiplier": 1.0,
      "baseline_projected_strikeouts": 7.43,
      "matchup_adjusted_projected_strikeouts": 7.19,
      "adjustment_delta": -0.24,
      "adjustment_multiplier": 0.967,
      "prob_4_plus": 0.8861,
      "prob_5_plus": 0.7917,
      "prob_6_plus": 0.6745,
      "prob_7_plus": 0.5472,
      "prob_8_plus": 0.4232,
      "context": {
        "aggregate_matchup_score": 74.0,
        "lineup_expected_strikeouts": 6.35,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 25330.0,
        "temperature_f": 76.5,
        "wind_speed_mph": 12.4,
        "wind_direction": "cross",
        "environment_summary": "neutral",
        "environment_k_multiplier": 1.0,
        "environment_hr_multiplier": 1.002,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Jeremy Pe\u00f1a",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "Yordan Alvarez",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Jose Altuve",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Christian Walker",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "Isaac Paredes",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Joey Loperfido",
            "matchup_score": 95.5,
            "expected_strikeout_likelihood": 182.7,
            "expected_contact_quality": 60.0
          },
          {
            "hitter_name": "Christian Walker",
            "matchup_score": 84.5,
            "expected_strikeout_likelihood": 152.0,
            "expected_contact_quality": 96.5
          },
          {
            "hitter_name": "Jake Meyers",
            "matchup_score": 80.2,
            "expected_strikeout_likelihood": 129.9,
            "expected_contact_quality": 62.7
          }
        ],
        "opponent_team_k_rate": 0.2028
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 825106,
      "pitcher_id": 669373,
      "pitcher_name": "Tarik Skubal",
      "team_id": 116,
      "team_abbr": "DET",
      "opponent_team_id": 109,
      "opponent_abbr": "AZ",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": null,
      "wind_speed_mph": null,
      "wind_direction": "unknown",
      "environment_summary": "neutral",
      "environment_k_multiplier": 1.0,
      "baseline_projected_strikeouts": 6.62,
      "matchup_adjusted_projected_strikeouts": 6.55,
      "adjustment_delta": -0.07,
      "adjustment_multiplier": 0.989,
      "prob_4_plus": 0.8473,
      "prob_5_plus": 0.7334,
      "prob_6_plus": 0.601,
      "prob_7_plus": 0.4664,
      "prob_8_plus": 0.3434,
      "context": {
        "aggregate_matchup_score": 71.7,
        "lineup_expected_strikeouts": 6.09,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 29251.0,
        "temperature_f": null,
        "wind_speed_mph": null,
        "wind_direction": "unknown",
        "environment_summary": "neutral",
        "environment_k_multiplier": 1.0,
        "environment_hr_multiplier": 1.0,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Corbin Carroll",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "Ketel Marte",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Geraldo Perdomo",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Lourdes Gurriel Jr.",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "Carlos Santana",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Pavin Smith",
            "matchup_score": 89.2,
            "expected_strikeout_likelihood": 145.2,
            "expected_contact_quality": 85.4
          },
          {
            "hitter_name": "Corbin Carroll",
            "matchup_score": 84.8,
            "expected_strikeout_likelihood": 136.5,
            "expected_contact_quality": 83.8
          },
          {
            "hitter_name": "Carlos Santana",
            "matchup_score": 78.4,
            "expected_strikeout_likelihood": 122.5,
            "expected_contact_quality": 66.6
          }
        ],
        "opponent_team_k_rate": 0.2063
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 822835,
      "pitcher_id": 592332,
      "pitcher_name": "Kevin Gausman",
      "team_id": 141,
      "team_abbr": "TOR",
      "opponent_team_id": 115,
      "opponent_abbr": "COL",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 40.1,
      "wind_speed_mph": 5.5,
      "wind_direction": "in",
      "environment_summary": "pitcher-friendly",
      "environment_k_multiplier": 1.01,
      "baseline_projected_strikeouts": 6.33,
      "matchup_adjusted_projected_strikeouts": 6.53,
      "adjustment_delta": 0.2,
      "adjustment_multiplier": 1.022,
      "prob_4_plus": 0.8459,
      "prob_5_plus": 0.7314,
      "prob_6_plus": 0.5986,
      "prob_7_plus": 0.4637,
      "prob_8_plus": 0.3409,
      "context": {
        "aggregate_matchup_score": 69.3,
        "lineup_expected_strikeouts": 6.44,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 35829.0,
        "temperature_f": 40.1,
        "wind_speed_mph": 5.5,
        "wind_direction": "in",
        "environment_summary": "pitcher-friendly",
        "environment_k_multiplier": 1.01,
        "environment_hr_multiplier": 0.938,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Willi Castro",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "Hunter Goodman",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Mickey Moniak",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Ezequiel Tovar",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "Brenton Doyle",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Jordan Beck",
            "matchup_score": 82.5,
            "expected_strikeout_likelihood": 136.6,
            "expected_contact_quality": 60.0
          },
          {
            "hitter_name": "Brenton Doyle",
            "matchup_score": 80.8,
            "expected_strikeout_likelihood": 133.9,
            "expected_contact_quality": 70.8
          },
          {
            "hitter_name": "Ezequiel Tovar",
            "matchup_score": 78.1,
            "expected_strikeout_likelihood": 129.5,
            "expected_contact_quality": 60.0
          }
        ],
        "opponent_team_k_rate": 0.2611
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 823483,
      "pitcher_id": 650911,
      "pitcher_name": "Cristopher S\u00e1nchez",
      "team_id": 143,
      "team_abbr": "PHI",
      "opponent_team_id": 120,
      "opponent_abbr": "WSH",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 82.2,
      "wind_speed_mph": 5.9,
      "wind_direction": "cross",
      "environment_summary": "neutral",
      "environment_k_multiplier": 1.0,
      "baseline_projected_strikeouts": 6.47,
      "matchup_adjusted_projected_strikeouts": 6.3,
      "adjustment_delta": -0.17,
      "adjustment_multiplier": 0.973,
      "prob_4_plus": 0.8289,
      "prob_5_plus": 0.7071,
      "prob_6_plus": 0.5694,
      "prob_7_plus": 0.4331,
      "prob_8_plus": 0.3121,
      "context": {
        "aggregate_matchup_score": 65.7,
        "lineup_expected_strikeouts": 5.75,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 30021.0,
        "temperature_f": 82.2,
        "wind_speed_mph": 5.9,
        "wind_direction": "cross",
        "environment_summary": "neutral",
        "environment_k_multiplier": 1.0,
        "environment_hr_multiplier": 1.056,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "CJ Abrams",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "James Wood",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Daylen Lile",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Luis Garc\u00eda Jr.",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "Keibert Ruiz",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Robert Hassell III",
            "matchup_score": 82.1,
            "expected_strikeout_likelihood": 135.1,
            "expected_contact_quality": 74.4
          },
          {
            "hitter_name": "James Wood",
            "matchup_score": 79.6,
            "expected_strikeout_likelihood": 143.2,
            "expected_contact_quality": 93.2
          },
          {
            "hitter_name": "Jos\u00e9 Tena",
            "matchup_score": 73.1,
            "expected_strikeout_likelihood": 120.5,
            "expected_contact_quality": 60.0
          }
        ],
        "opponent_team_k_rate": 0.2093
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 824536,
      "pitcher_id": 694973,
      "pitcher_name": "Paul Skenes",
      "team_id": 134,
      "team_abbr": "PIT",
      "opponent_team_id": 113,
      "opponent_abbr": "CIN",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 73.0,
      "wind_speed_mph": 14.4,
      "wind_direction": "cross",
      "environment_summary": "hitter-friendly",
      "environment_k_multiplier": 1.0,
      "baseline_projected_strikeouts": 5.61,
      "matchup_adjusted_projected_strikeouts": 6.27,
      "adjustment_delta": 0.66,
      "adjustment_multiplier": 1.117,
      "prob_4_plus": 0.8266,
      "prob_5_plus": 0.7038,
      "prob_6_plus": 0.5655,
      "prob_7_plus": 0.4291,
      "prob_8_plus": 0.3084,
      "context": {
        "aggregate_matchup_score": 85.7,
        "lineup_expected_strikeouts": 6.99,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 23485.0,
        "temperature_f": 73.0,
        "wind_speed_mph": 14.4,
        "wind_direction": "cross",
        "environment_summary": "hitter-friendly",
        "environment_k_multiplier": 1.0,
        "environment_hr_multiplier": 1.075,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Elly De La Cruz",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "TJ Friedl",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Eugenio Su\u00e1rez",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Spencer Steer",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "Tyler Stephenson",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Eugenio Su\u00e1rez",
            "matchup_score": 96.7,
            "expected_strikeout_likelihood": 159.6,
            "expected_contact_quality": 69.9
          },
          {
            "hitter_name": "Matt McLain",
            "matchup_score": 93.4,
            "expected_strikeout_likelihood": 149.5,
            "expected_contact_quality": 75.8
          },
          {
            "hitter_name": "Elly De La Cruz",
            "matchup_score": 93.2,
            "expected_strikeout_likelihood": 149.2,
            "expected_contact_quality": 71.6
          }
        ],
        "opponent_team_k_rate": 0.2389
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 823970,
      "pitcher_id": 808967,
      "pitcher_name": "Yoshinobu Yamamoto",
      "team_id": 119,
      "team_abbr": "LAD",
      "opponent_team_id": 114,
      "opponent_abbr": "CLE",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 55.2,
      "wind_speed_mph": 3.4,
      "wind_direction": "out",
      "environment_summary": "neutral",
      "environment_k_multiplier": 1.0,
      "baseline_projected_strikeouts": 6.55,
      "matchup_adjusted_projected_strikeouts": 6.26,
      "adjustment_delta": -0.29,
      "adjustment_multiplier": 0.956,
      "prob_4_plus": 0.8258,
      "prob_5_plus": 0.7027,
      "prob_6_plus": 0.5642,
      "prob_7_plus": 0.4277,
      "prob_8_plus": 0.3071,
      "context": {
        "aggregate_matchup_score": 72.0,
        "lineup_expected_strikeouts": 5.41,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 19316.0,
        "temperature_f": 55.2,
        "wind_speed_mph": 3.4,
        "wind_direction": "out",
        "environment_summary": "neutral",
        "environment_k_multiplier": 1.0,
        "environment_hr_multiplier": 0.965,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Jos\u00e9 Ram\u00edrez",
            "weight": 1.08
          },
          {
            "spot": 2,
            "hitter_name": "Steven Kwan",
            "weight": 1.05
          },
          {
            "spot": 3,
            "hitter_name": "Kyle Manzardo",
            "weight": 1.03
          },
          {
            "spot": 4,
            "hitter_name": "Bo Naylor",
            "weight": 1.02
          },
          {
            "spot": 5,
            "hitter_name": "David Fry",
            "weight": 1.0
          }
        ],
        "top_hitter_matchups": [
          {
            "hitter_name": "Gabriel Arias",
            "matchup_score": 94.3,
            "expected_strikeout_likelihood": 171.4,
            "expected_contact_quality": 77.6
          },
          {
            "hitter_name": "David Fry",
            "matchup_score": 84.9,
            "expected_strikeout_likelihood": 139.5,
            "expected_contact_quality": 65.8
          },
          {
            "hitter_name": "Nolan Jones",
            "matchup_score": 81.1,
            "expected_strikeout_likelihood": 133.3,
            "expected_contact_quality": 60.0
          }
        ],
        "opponent_team_k_rate": 0.2082
      }
    },
    {
      "date": "2026-04-01",
      "game_pk": 823806,
      "pitcher_id": 694819,
      "pitcher_name": "Jacob Misiorowski",
      "team_id": 158,
      "team_abbr": "MIL",
      "opponent_team_id": 139,
      "opponent_abbr": "TB",
      "starter_confidence": "probable",
      "lineup_source": "projected",
      "lineup_confidence": "projected",
      "confirmed_lineup_flag": false,
      "temperature_f": 36.1,
      "wind_speed_mph": 12.4,
      "wind_direction": "in",
      "environment_summary": "pitcher-friendly",
      "environment_k_multiplier": 1.02,
      "baseline_projected_strikeouts": 6.42,
      "matchup_adjusted_projected_strikeouts": 6.16,
      "adjustment_delta": -0.26,
      "adjustment_multiplier": 0.941,
      "prob_4_plus": 0.8178,
      "prob_5_plus": 0.6915,
      "prob_6_plus": 0.551,
      "prob_7_plus": 0.4142,
      "prob_8_plus": 0.2947,
      "context": {
        "aggregate_matchup_score": 70.0,
        "lineup_expected_strikeouts": 5.06,
        "lineup_source": "projected",
        "lineup_confidence": "projected",
        "confirmed_lineup_flag": false,
        "pitch_mix_sample_size": 5530.0,
        "temperature_f": 36.1,
        "wind_speed_mph": 12.4,
        "wind_direction": "in",
        "environment_summary": "pitcher-friendly",
        "environment_k_multiplier": 1.02,
        "environment_hr_multiplier": 0.898,
        "projected_batting_order_top_5": [
          {
            "spot": 1,
            "hitter_name": "Chandler Simpson",
            "weight": 1.08
          },
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