Goodness of fit of the model with true IQOS introduction months versus placebo models
Approach | True introduction date model R2 | Simultaneous national-level placebo date models – R2 distribution | ||||
Months tested | Mean R2 | Top 10% | Top 5% | Max | ||
1 | 0.7504 | 47 | 0.6898 | 0.7416 | 0.7434 | 0.7456 |
2 | 0.7466 | 47 | 0.6898 | 0.7416 | 0.7434 | 0.7456 |
3 | 0.7452 | 47 | 0.6910 | 0.7391 | 0.7424 | 0.7449 |
Approach |
True
introduction date model R2 | Exact permutation test: true model and placebo dates – R2 distribution | ||||
True model rank | Permutation count | Significance level | Top 10% | Max | ||
1 | 0.7504 | 5 | 330 | 1.5% | 0.7393 | 0.7594 |
2 | 0.7466 | 4 | 55 | 7.3% | 0.7432 | 0.7514 |
3 | 0.7452 | 2 | 15 | 13.3% | 0.7452 | 0.7486 |
For the simultaneous national-level placebo dates, n=47 (48 months in the dataset minus the first month). The larger the R2 value the better the model fits. Ordering the models by the Akaike’s information criteria and Schwarz’s Bayesian information criteria yielded the same results.