Confidence Envelopes for Monotonic Functions: Principles, Derivations, and Examples.

Abstract

The bounds of plausible behavior for a multiparameter monotonic function can be expressed as a stochastic confidence envelope around the function. This paper presents the derivation of a general method for constructing such bounds. The bounds described are first specialized to the linear case, yielding results identical to known results found by other means. The method in the more general nonlinear case is then illustrated on three logistic item response models.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1983
Accession Number
ADA126230

Entities

People

  • David Thissen
  • Howard Wainer

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  • Human Systems

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  • Air Force
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  • Data Science
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  • New York
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Fields of Study

  • Mathematics

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  • Mechanical Engineering/Mechanics of Materials.
  • Regression Analysis.