Extensions of SPM to non-independent events, terminal events, and parallel-trends violations

Investigate extensions of the symmetric pair matching (SPM) design for settings involving non-independent events, terminal events, or violations of the parallel trends assumption.

Background

The paper introduces the symmetric pair matching (SPM) design as a self-controlled method for estimating transient exposure effects while controlling by design for time-invariant confounding and temporal effects. Its stated assumptions include recurrent events, independence of events from past events, and a common outcome time trend across individuals, corresponding to a parallel trends assumption.

The authors note that existing extensions of the self-controlled case series design may be preferable when some assumptions are violated, but explicitly identify the development of analogous SPM extensions as future work. The unresolved scope includes non-independent recurrent events, terminal events that preclude subsequent events, and departures from the parallel trends assumption.

References

Future work should investigate similar extensions to the proposed SPM for settings involving, for example, non-independent events, terminal events, or violations of the parallel trends assumption.

The Symmetric Pair Matching Design: A Self-Controlled Method with Automatic Adjustment for Time Effects  (2608.25979 - Denz et al., 26 Aug 2026) in Discussion section