2017
DOI: 10.1177/0048393117705299
|View full text |Cite
|
Sign up to set email alerts
|

Psychometrics versus Representational Theory of Measurement

Abstract: Erik Angner has argued that simultaneous endorsement of the representational theory of measurement (RTM) and psychometrics leads to inconsistency. His claim rests on an implicit assumption: RTM and psychometrics are full-fledged approaches to measurement. I argue that RTM and psychometrics are only partial approaches that deal with different aspects of measurement, and that therefore simultaneous endorsement of the two is not inconsistent. The argument has implications for the improvement of measurement practi… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
10
0

Year Published

2018
2018
2023
2023

Publication Types

Select...
7

Relationship

2
5

Authors

Journals

citations
Cited by 10 publications
(10 citation statements)
references
References 27 publications
0
10
0
Order By: Relevance
“…But philosophers are now getting up to speed, perhaps motivated by growing interest in general philosophy of measurement (Cartwright, Bradburn, & Fuller, ; Heilmann, ; Tal, ). By 2019, we have a handful of philosophical analyses of psychometrics in the science of well‐being (Alexandrova, , ; Angner, ), interpretations of psychometrics in terms of the realism/anti‐realism dichotomy (Hood, ), comparisons of psychometrics and the representational theory of measurement (Angner, ; but see also Suppes & Zinnes, ; Vessonen, , ), studies of the role of modelling in psychometrics (McClimans, Browne, & Cano, ; Peterson, ), and more general analyses of psychometrics as an epistemic activity (Alexandrova & Haybron, ).…”
Section: Introductionmentioning
confidence: 99%
“…But philosophers are now getting up to speed, perhaps motivated by growing interest in general philosophy of measurement (Cartwright, Bradburn, & Fuller, ; Heilmann, ; Tal, ). By 2019, we have a handful of philosophical analyses of psychometrics in the science of well‐being (Alexandrova, , ; Angner, ), interpretations of psychometrics in terms of the realism/anti‐realism dichotomy (Hood, ), comparisons of psychometrics and the representational theory of measurement (Angner, ; but see also Suppes & Zinnes, ; Vessonen, , ), studies of the role of modelling in psychometrics (McClimans, Browne, & Cano, ; Peterson, ), and more general analyses of psychometrics as an epistemic activity (Alexandrova & Haybron, ).…”
Section: Introductionmentioning
confidence: 99%
“…This idea is basic to representational theory of measurement (RTM; Krantz, Luce, Tversky, & Suppes, 1971). It formalizes axiomatic conditions by which empirical relational structures can be mapped to symbolic relational (data) structures ( representation theorem ), including permissible ways for transforming the latter without breaking their mapping onto the former ( uniqueness theorem ; Kyngdon, 2008a; Narens, 2002; Vessonen, 2017). But RTM stipulates neither theoretical concepts nor procedures for how and why any given empirical property could be mapped to a symbolic relational system, and many of its notions remain vague (Borsboom & Scholten, 2008; Mari et al, 2017).…”
Section: Measurement: Most Basic Concepts Principles and Processesmentioning
confidence: 99%
“…For measurement, these many-to-one mappings (homo- or isomorphisms) must be performed such that the study phenomena’s properties and their interrelations are appropriately represented by the properties and interrelations of the signs used as data ( representation theorem ). Permissible transformations specify how the numerical representations can be further transformed without breaking the mapping between the empirical relations under study and the numerical ones generated ( uniqueness theorem ; Figure 5; Vessonen, 2017).…”
Section: Measurement and Quantification Across The Sciencesmentioning
confidence: 99%
“…Another problem concerns establishing measurability (i.e., evidence of ordered additive structures of the same quality) because not just any mapping of numbers onto empirical relational structures constitutes measurement. But the appropriateness of particular numerical representations is often only assumed rather than established, thereby reducing the interpretability of the generated symbolic representation regarding the empirical phenomena under study (Blanton and Jaccard, 2006; Vessonen, 2017).…”
Section: Measurement and Quantification Across The Sciencesmentioning
confidence: 99%