Counting and Quantification: Comparing Psychometric and Metrological Perspectives on Visual Perceptions of Number

Measurement, 71, 46-55.

Posted: 8 Jun 2015

See all articles by Leslie Pendrill

Leslie Pendrill

SP Technical Research Institute of Sweden

William P. Fisher

University of California, Berkeley - BEAR Center

Date Written: April 10, 2015

Abstract

In gaining a better understanding of how to characterise human response, essential to improved person-centred care and other situations where human factors are crucial, recent work has attempted to link metrological (resolution, classification effectiveness) and psychometric (Rasch) characterisation of Man as a Measurement Instrument. The present work offers a more detailed account of these investigations following our first preliminary conference report, continuing a study of elementary tasks, such as counting dots, where one knows independently the expected value because the measurement object (collection of dots) is prepared in advance. The analysis is compared and contrasted with recent approaches to this problem by others, for instance using signal error fidelity and loss functions. Independent sources of measurement uncertainty, such as under-estimation of scores, are distinguished from separate estimates of task challenge and individual counting ability, and accounted for in estimates of reliability of the various measures.

Suggested Citation

Pendrill, Leslie and Fisher, William P., Counting and Quantification: Comparing Psychometric and Metrological Perspectives on Visual Perceptions of Number (April 10, 2015). Measurement, 71, 46-55., Available at SSRN: https://ssrn.com/abstract=2615401

Leslie Pendrill (Contact Author)

SP Technical Research Institute of Sweden ( email )

Box 857
Borås, SE-50115
Sweden

William P. Fisher

University of California, Berkeley - BEAR Center ( email )

Berkeley, CA 94704
United States

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