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2000 HSS/PSA Program 1 - History of Science Society

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<strong>PSA</strong> Abstracts<br />

reliable evidential conclusions on the basis <strong>of</strong> the outcome <strong>of</strong> their experiment.<br />

Sometimes such pre-trial planning fails, however. Experimenters then may try<br />

to use after-trial strategies for getting around the problems introduced by failure<br />

to adhere to pre-trial strictures. I discuss a general type <strong>of</strong> situation <strong>of</strong> this sort,<br />

in which failing to adequately predesignate the choice <strong>of</strong> test statistic leaves<br />

experimenters uncertain as to how they ought to characterize the experiment<br />

that they have done, and propose a method for potentially drawing reliable results<br />

from data even in the face <strong>of</strong> such uncertainty. In such a situation, the calculation<br />

<strong>of</strong> statistical significance becomes impossible to calculate reliably. Significance<br />

calculation requires that the experiment performed be specified, which in turn<br />

determines the reference class to be used in calculating the probability <strong>of</strong> the<br />

test result that obtained under the assumption <strong>of</strong> the null hypothesis. In the errorstatistical<br />

account <strong>of</strong> experimental reasoning, such significance calculations are<br />

central because <strong>of</strong> the close relationship between significance and the errorstatistical<br />

concept <strong>of</strong> severity. I propose an extension <strong>of</strong> error-statistical methods<br />

for assessing evidence for application to situations <strong>of</strong> uncertainty regarding the<br />

choice <strong>of</strong> reference class for calculating significance. The method uses<br />

calculations <strong>of</strong> apparent significance based on counterfactual choices <strong>of</strong> reference<br />

class. That is, experimenters using this method employ a single body <strong>of</strong> data,<br />

and ask what would have been the significance <strong>of</strong> the result that they would<br />

have obtained with that data, under the assumption <strong>of</strong> a variety <strong>of</strong> different test<br />

specifications. In this way, experimenters can determine how sensitive the<br />

apparent significance <strong>of</strong> the result obtained is to particular choices <strong>of</strong> test<br />

specification. I argue that this strategy can be used to determine whether the<br />

apparent severity with which the hypothesis in question was tested is an artifact<br />

<strong>of</strong> the failure <strong>of</strong> pre-trial planning. In particular, the method outlined may be<br />

appropriate to situations in which pre-trial precautions against biasing the test<br />

toward a particular result fail, but experimenters nevertheless wish to regain the<br />

ability to draw reliable conclusions from the data at hand. I illustrate this approach<br />

with an example from the search for the top quark conducted by the Collider<br />

Detector at Fermilab collaboration in the early 90s.<br />

242<br />

P.␣ Kyle Stanford University <strong>of</strong> California, Irvine<br />

Refusing the Devil’s Bargain: What Kind <strong>of</strong> Underdetermination Should We<br />

Take Seriously?<br />

Advocates have sought to prove that underdetermination obtains because all<br />

theories have empirical equivalents. However, algorithms for generating<br />

empirical equivalents simply exchange underdetermination for existing<br />

philosophical chestnuts, while the few convincing examples <strong>of</strong> empirical<br />

equivalents will not support the desired sweeping conclusions.<br />

Underdetermination does not, however, depend on empirical equivalents: our<br />

warrant for current theories is equally undermined by presently unconceived

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