{
  "context": "Evaluates whether the solution builds the segmented conversion model in PyMC using distributions for priors and likelihoods, deterministic transforms for rates and summaries, and a potential term to enforce the target overall rate. Rewards correct use of PyMC primitives that align with the specified variables and penalty structure.",
  "type": "weighted_checklist",
  "checklist": [
    {
      "name": "Model setup",
      "description": "Uses a pm.Model context to construct the model and returns the pm.Model with named components (baseline_logit, segment_offset, segment_rate_<name>, overall_rate) matching the spec.",
      "max_score": 15
    },
    {
      "name": "Priors & offsets",
      "description": "Defines baseline_logit as a prior random variable (e.g., pm.Normal) and segment_offset as a vector prior sized to the unique segment_ids, with offsets indexed by segment_ids when computing rates.",
      "max_score": 20
    },
    {
      "name": "Logistic rates",
      "description": "Computes per-row conversion probabilities with pm.math.sigmoid(baseline_logit + segment_offset[segment_ids]) and records them via pm.Deterministic for trace inspection.",
      "max_score": 20
    },
    {
      "name": "Deterministic summaries",
      "description": "Publishes per-segment deterministic rates using pm.Deterministic named segment_rate_<name> for each unique segment and an overall_rate deterministic equal to the exposure-weighted mean of per-row rates.",
      "max_score": 15
    },
    {
      "name": "Observed likelihood",
      "description": "Ties conversions to exposures with a count likelihood using pm.Binomial (n=exposures, p=per-row rates) and observed=conversions inside the model.",
      "max_score": 15
    },
    {
      "name": "Penalty potential",
      "description": "Adds pm.Potential with value -penalty_scale * (overall_rate - target_overall_rate) ** 2 so deviations from the target rate reduce log-density, applied regardless of target boundary values.",
      "max_score": 15
    }
  ]
}