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2013년 5월 30일 목요일

Parameterizing Mathews versus Eldridge

SNAPSHOTS

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DETAILS

In this Demonstration, the cutoff level is described numerically by reference to some metric. This might occur where the issue in question is the person's income or assets or their score on some test. The cutoff level can also be described verbally.
The text of Mathews v. Eldridge may be found here.
Snapshot 1: The initial settings of the Demonstration. The minimum total costs of procedure set  are less than the minimum total costs of procedure set  even though, as shown from the tooltips associated with the minimum points, procedure set  is slightly more accurate. Notice that both procedure sets do best when there is a safety margin: the prediction has to be substantially worse than the actual cutoff before the government takes adverse action against the person.
Snapshot 2: The initial settings of the Demonstration modified so that the costs of procedure 3 are zero. Now procedure set  is slightly less costly than procedure set .
Snapshot 3: The initial settings of the Demonstration modified so that the costs of procedure 3 are zero and type I error costs are lower and type II error costs are higher. Now procedure set  is somewhat better than procedure set  but both should employ negative safety margins, that is, authorizing adverse action against the person even when their predicted score is somewhat higher than the actual cutoff.
Snapshot 4: The initial settings of the Demonstration but comparing procedure set  with procedure set . Procedure set  has lower total minimum costs.
Snapshot 5: The initial settings of the Demonstration except that dataset 8 is used.
 

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