Concept

Different Forms of Unit-specific Quantity of Theoretical Estimand

The unit-specific quantity can take different forms:

  • Descriptive: The factual value that some variable actually would take for unit ii in the absence of intervention (e.g., YiY_{i}: whether person ii is employed).
  • Causal: The value some variable would take if a treatment variable DD were set to a particular value dd, producing a potential outcome (e.g., Yi(d)Y_{i}(d): whether person ii would be employed if they received job training).
  • Causal Difference: A difference in potential outcomes (e.g., the effect of job training on the employment of person ii).
  • Caused by Multiple Variables: An outcome realized under intervention of more than one variable. This includes:
    • Mediation: A claim about the outcome Yi(d,m)Y_{i}(d, m) that unit ii would realize if the treatment were set to D=dD = d and some mediator were set to M=mM = m.
    • Interaction: A claim of whether person ii would be employed if they received job training and childcare.

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Updated 2026-06-18

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Data Science