Method

Econometric Model

Main Specification (Triple DiD)

GenAI_Adoption_{it} = beta_0
                    + beta_1 * Post_ChatGPT_t
                    + beta_2 * TechBoard_i
                    + beta_3 * (Post x TechBoard)
                    + beta_4 * (Post x TechBoard x Vintage_i)
                    + gamma * Controls_{it}
                    + alpha_i    (firm fixed effects)
                    + delta_t    (time fixed effects)
                    + epsilon_{it}

Key coefficient: beta_4 captures whether education vintage moderates the effect of board technical competence on GenAI adoption in the post-ChatGPT period.

Hypothesis-Specific Models

H1 (Vintage -> Adoption Speed):

AI_Adoption_Speed_{it} = ... + beta * TKL_{it} + ...

Where TKL = Tech Knowledge Latency (Current Year - STEM Degree Year)

H2 (Tech Committee Vintage):

GenAI_Adoption_{it} = ... + beta_1 * TechCommittee_i
                          + beta_2 * (TechCommittee x OldVintage_i) + ...

H3 (Vintage Faultlines):

GenAI_Adoption_{it} = ... + beta * Vintage_Variance_{it} + ...

H4 (Reskilling Mitigation):

GenAI_Adoption_{it} = ... + beta_1 * OldVintage_i
                          + beta_2 * (OldVintage x ReskillingIndex_i) + ...

Supplementary Analyses

Analysis Method Purpose
Event Study Quarterly coefficient plot Verify parallel trends assumption
Heterogeneity Subgroup DiD Industry (tech vs. non-tech), firm size effects
Instrumental Variable 2SLS with birth year Address endogeneity of vintage
Robustness Varying cutoffs Sensitivity to vintage classification (2010, 2012, 2015)
Mediation Baron-Kenny / Causal Mediation Board decision process as mediator
Placebo Alternative tech DiD Cloud/blockchain should show no vintage effect

Software and Tools

  • Statistical software: Stata / R
  • Text analysis: Python (for 10-K keyword extraction)
  • Visualization: R (ggplot2) / Stata