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Biometrika 1974 61(1):177-180; doi:10.1093/biomet/61.1.177
© 1974 by Biometrika Trust
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Normalizing transformations of Student's t distribution

P. PRESCOTT

Department of Mathematics, University of Southampton

The accuracies of several normalizing transformations of a t distribution with v degrees of freedom are examined for large and small values of v. Expansions of the inverse transformations in terms of powers of v-1 are produced and the first few terms compared with Fisher's general expansion. For small values of v the transformations are used to determine approximate percentage points of t which are then compared with the exact percentage points.

Key Words: Normalizing transformation • Student's t


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