Ron mentions watching a film with Dianne and her daughters, and describes the plot of Finding Nemo (2003). This would be the fifth movie Ron has seen in his life: The Bridge on the River Kwai (1957), The Dirty Dozen (1967) (mentioned in Eagleton (2011) but not in Emergency Response (2013)), Patton (1970), Herbie Fully Loaded (2005), and now Finding Nemo.
When sick in his office, Ron Swanson is dressed like Ignatius J. Riley, the quixotic protagonist from A Confederacy of Dunces by John Kennedy Toole.
The second time Ron had a medical emergency at his own office. The first was in The Stakeout (2009).