Command map | The Stata vignette, translated | Default summary | Bounds at a single cbar | Bounds over a grid of cbar | Restricting rxbar as well | Breakdown frontier | Breakdown for a one-sided hypothesis | Bounding the unobservable's effect on the outcome | Oster (2019) | Oster breakdown over rmax | Coverage | Beyond the Stata package

Figures | Reading an unbounded identified set | Reference lines | Sizing for a journal | Matching your manuscript's font | Colour, greyscale and accessibility | Overriding anything | Tables | The tidy route | The convenience route | LaTeX for a journal | Infinite bounds | Feeding modelsummary

The numbers, and what each one means | The decision path | Case 1: a robust conclusion | Case 2: a fragile conclusion | Case 3: a breakdown point of zero | Case 4: the set is unbounded early -- a weak calibration set | Case 5: which covariates go in compare | Case 6: what cbar does, and when it matters | Case 7: bounding the effect on the outcome too | Case 8: Oster's $\delta$, and why a large one is not enough | Case 9: the bootstrap interval | Case 10: several treatments at once | Common mistakes | A reporting checklist | References

The setup | The three sensitivity parameters | DMP (2026) bounds | Constrained rybar | DMP breakdown | The frontier in the other direction | Asserting endogenous controls | Oster (2019) bounds | Oster, |delta| <= d (bound) | Oster breakdown | Using several cores | Summary call | References

Table 1, Panel C, column (5): breakdown points | Table 3: correlations between observed covariates | Table 4, column (5): rho_k calibration | Figure 1: Sensitivity analysis for Republican Vote Share | Left panel: bounds on $\beta_{long}$ as a function of $\bar r_X$, $\bar c = 1$ | Right panel: the breakdown frontier in $(\bar r_X, \bar r_Y)$ space | Overlaying the calibration values | Figure 2: not reproducible from the bundled data | Figure 3: moving the state fixed effects into the calibration set | Bonus: identified set under $\bar r_Y < \infty$

A stylized data-generating process | Figure 1: Oster's identified set $\mathcal{B}I(\delta, R{long})$ | Figure 2: cumulative identified set $\delta \le \bar d$ | Table 1: breakdown points | Effect of a maxovb constraint | Meta-analysis tables (paper Tables 3-4)

The numbers, and what each one means | The decision path | Case 1: a robust conclusion | Case 2: a fragile conclusion | Case 3: a breakdown point of zero | Case 4: the set is unbounded early -- a weak calibration set | Case 5: which covariates go in compare | Case 6: what cbar does, and when it matters | Case 7: bounding the effect on the outcome too | Case 8: Oster's $\delta$, and why a large one is not enough | Case 9: the bootstrap interval | Case 10: several treatments at once | Common mistakes | A reporting checklist | References

The setup | The three sensitivity parameters | DMP (2026) bounds | Constrained rybar | DMP breakdown | The frontier in the other direction | Asserting endogenous controls | Oster (2019) bounds | Oster, |delta| <= d (bound) | Oster breakdown | Using several cores | Summary call | References

Table 1, Panel C, column (5): breakdown points | Table 3: correlations between observed covariates | Table 4, column (5): rho_k calibration | Figure 1: Sensitivity analysis for Republican Vote Share | Left panel: bounds on $\beta_{long}$ as a function of $\bar r_X$, $\bar c = 1$ | Right panel: the breakdown frontier in $(\bar r_X, \bar r_Y)$ space | Overlaying the calibration values | Figure 2: not reproducible from the bundled data | Figure 3: moving the state fixed effects into the calibration set | Bonus: identified set under $\bar r_Y < \infty$

Command map | The Stata vignette, translated | Default summary | Bounds at a single cbar | Bounds over a grid of cbar | Restricting rxbar as well | Breakdown frontier | Breakdown for a one-sided hypothesis | Bounding the unobservable's effect on the outcome | Oster (2019) | Oster breakdown over rmax | Coverage | Beyond the Stata package

A stylized data-generating process | Figure 1: Oster's identified set $\mathcal{B}I(\delta, R{long})$ | Figure 2: cumulative identified set $\delta \le \bar d$ | Table 1: breakdown points | Effect of a maxovb constraint | Meta-analysis tables (paper Tables 3-4)

Figures | Reading an unbounded identified set | Reference lines | Sizing for a journal | Matching your manuscript's font | Colour, greyscale and accessibility | Overriding anything | Tables | The tidy route | The convenience route | LaTeX for a journal | Infinite bounds | Feeding modelsummary