Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond-Quantum Modeling of Question Order Effects and Response
  Replicability in Psychological Measurements   A general tension-reduction (GTR) model was recently considered to derive
quantum probabilities as (universal) averages over all possible forms of
non-uniform fluctuations, and explain their considerable success in describing
experimental situations also outside of the domain of physics, for instance in
the ambit of quantum models of cognition and decision. Yet, this result also
highlighted the possibility of observing violations of the predictions of the
Born rule, in those situations where the averaging would not be large enough,
or would be altered because of the combination of multiple measurements. In
this article we show that this is indeed the case in typical psychological
measurements exhibiting question order effects, by showing that their
statistics of outcomes are inherently non-Hilbertian, and require the larger
framework of the GTR-model to receive an exact mathematical description. We
also consider another unsolved problem of quantum cognition: response
replicability. It is has been observed that when question order effects and
response replicability occur together, the situation cannot be handled anymore
by quantum theory. However, we show that it can be easily and naturally
described in the GTR-model. Based on these findings, we motivate the adoption
in cognitive science of a hidden-measurements interpretation of the quantum
formalism, and of its GTR-model generalization, as the natural interpretational
framework explaining the data of psychological measurements on conceptual
entities.

28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat