# Multiple testing when many $p$-values are uniformly conservative

with application to testing qualitative interaction in educational interventions

### Abstract

Qualitative interaction is an extreme form of treatment effect heterogeneity where the treatment can be beneficial for some but harmful for others. We formulated this question as a global testing problem with many conservative null $p$-values and proposed a simple technique—conditioning—to greatly improve the statistical power.

Type
Publication
Journal of the American Statistical Association (2019)