Solution (source code)

= Solution

Two useful ways to strengthen the <causal inference> are:

* \b[Run a <randomized controlled trial> of the proposed dietary intervention.] Assign a well-defined change in <calcium intake>, measure its achieved effect on <serum calcium>, and prospectively ascertain <migraine> outcomes. <Randomization> addresses baseline <confounding>, and measuring the intermediate <exposure> tests whether the intervention actually changes the quantity implicated by the genetic analysis. This directly evaluates the proposed dietary intervention rather than assuming equivalence with a lifelong genetic shift.
* \b[Replicate and challenge the genetic result in independent data.] Use a prespecified <two-sample Mendelian randomization> analysis with additional well-supported <genetic variants>, examine associations with possible <confounders>, and perform leave-one-variant-out and <horizontal pleiotropy> <sensitivity analyses>. In particular, removing the strongest <serum calcium> variant tests whether the result depends on one possibly invalid instrument. Replication checks reproducibility, while <within-family Mendelian randomization> can reduce <population stratification> and family-level genetic/environmental biases.

These are complementary: the first changes the proposed <exposure> experimentally, and the second probes the validity and reproducibility of its genetic evidence.