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The Three E’s of Quantitative Research: Estimand, Estimator, Estimate

The Three E’s of Quantitative Research

Term

One-line definition

Where it “lives”

Simple example (blood-pressure drug)

Estimand

The scientific question expressed as a precise quantity you want to know.

Before data are collected.

“The average reduction in systolic BP (mm Hg) if every adult took Drug X instead of placebo for 12 weeks.”

Estimator

The recipe or formula you will apply to data to target the estimand.

In your analysis plan / code.

“Difference in sample means between the Drug X group and placebo group (unadjusted).”

Estimate

The numerical answer you get after running the estimator on the actual dataset.

In your results table.

“–7.4 mm Hg (95 % CI –9.1 to –5.7).”

How they fit together

  1. Start with the estimand.

    • Clarifies what effect, in whom, and under which conditions you care about.

  2. Choose an estimator that is valid if the required causal/statistical assumptions hold.

    • Could be as simple as a risk difference, or as complex as a targeted-maximum-likelihood algorithm.

  3. Compute the estimate once you have data.

    • This single number (plus its uncertainty) is what you report.

Key points to remember

  • Estimand ≠ Estimator: The former is a target; the latter is a tool.

  • Different estimators (e.g., regression with covariate adjustment, IPW, G-computation) can aim at the same estimand.

  • The estimate is data-dependent and will change with a new sample; the estimand and estimator do not.

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