Aim and statistical setting | Where the precision gain comes from | Four analysis strategies | A small simulated RCT | Standard errors after empirical standardization | Application 1: postoperative throat-pain scores | Application 2: power and sample size | Practical analysis checklist

Reproducibility map | Simulation laws | A short executable check | Full Monte Carlo experiment | Postoperative throat-pain analysis | Power and sample-size application | Standalone replication scripts | Recommended audit sequence | References

Aim and statistical setting | Where the precision gain comes from | Four analysis strategies | A small simulated RCT | Standard errors after empirical standardization | Application 1: postoperative throat-pain scores | Application 2: power and sample size | Practical analysis checklist

Reproducibility map | Simulation laws | A short executable check | Full Monte Carlo experiment | Postoperative throat-pain analysis | Power and sample-size application | Standalone replication scripts | Recommended audit sequence | References