Rounding Error and Information Quality:
The case of Exxon Shipping Co. v. Baker
30 Jun 2008 in Information Quality
Last week the Supreme Court reversed an appellate court opinion that would have imposed $2.5 billion in punitive damages resulting from the 1989 Exxon Valdez oil spill. In the majority opinion written by Justice David Souter, the Court opined on a matter of maritime law for which there was neither a constitutional precedent nor operating law. The Court ruled that a 1:1 ratio of punitive to compensatory damages "is a fair upper limit in such maritime cases."
The Court obtained this ratio by conducting an ad hoc qualitative statistical analysis of trial court practice, which yielded a ratio of 0.65:1, then rounding up to 1:1. It is instructive to note the practical financial significance of the arcane information quality issue of significant figures (see here and here).
The Court's reasoning is summarized as follows:
Nonetheless, the Court's reported ratios of punitive to compensatory damages, and the effects of different rules for rounding, are financially spectacular. The table below summarizes the amount of punitive damages using a variety of rules for rounding, all of which are arbitrary.
There is an interesting coda to the story. The Court determined that 0.65:1 was the median ratio of punitive damage awards -- a well-defined statistical term meaning that exactly half of all cases are above and half are below -- but it actually rounded up from the 0.62 reported in the study cited by the Court. Normally, 0.62 would be rounded down to 0.6 rather than rounded up to 0.7. Presumably, it is harder to justify rounding 0.6 up to 1.0 when hundreds of millions of dollars are in the balance.
Bill Henderson blogs on empirical legal studies alongside Theodore Eisenberg, who was the lead aithor of the study. Henderson notes approvingly concerns raised by Election Law blogger Rick Hasen, who highlights the perverse incentive against research implied by the Court's exclusion of data from mock jury studies. The Court excluded them because they were plaintiff-funded, not because they were methodologically defective. In short, the Supreme Court has committed a frank information quality error.
Of course, the Information Quality Act applies only to the Executive branch. Congress and the courts are exempt. One can only speculate what would happen if they were required to adhere to the law and its implementing guidelines.
| ALTERNATIVE ROUNDING RULES FOR ASSESSING PUNITIVE DAMAGES |
||
| Punitive:Compensatory Damage Ratio |
Description of Rounding Rule | Maximum Punitive Damages, $ Millions |
| 9.85:1 | Actual jury award in this case |
$5,000 |
| 5:1 | Missouri statute |
$2,538 |
| 4.93:1 | 9th Circuit in this case |
$2,500 |
| 3:1 |
|
$1,523 |
| 2:1 |
|
$1,015 |
| 1:1 |
|
$508 |
| 0.7:1 | 1 significant figure | $355 |
| 0.65:1 | 2 significant figures Reported median |
$330 |
| 0.62:1 | Median from cited study | $315 |
T. Eisenberg et al., Juries, Judges, and Punitive Damages: Empirical Analyses Using the Civil Justice Survey of State Courts 1992, 1996, and 2001 Data, 3 J. of Empirical Legal Studies 263, 278 (2006). A free working paper version is here.


