scholarly journals The cost of errors: confusion analysis and the mental representation of familiar and unfamiliar digits

2019 ◽  
Author(s):  
Paul Michael Garrett ◽  
Murray Bennett ◽  
Zachary L Howard ◽  
Cheng-Ta ◽  
Daniel R. Little ◽  
...  

People express quantities using a remarkably small set of units – digits. Confusing digits could be costly, and not all confusions are equal; confusing a price tag of 2 dollars with 9 dollars is naturally more costly than confusing 2 with 3. Confusion patterns are intimately related to the distances between mental representations, which are hypothetical internal symbols said to stand for, or represent, ‘real’ external stimuli. The distance between the mental representations of two digits could be determined by their numerical distance. Alternatively, it could be driven by visual similarity. In an English speaking cohort, we investigated the mental representations of familiar and unfamiliar numbers (4 sets: Arabic, Chinese, Thai, and non-symbolic dots) through a set of identification experiments, using multi-dimensional scaling and cluster analysis. We controlled for undesired effects of response bias using Luce’s choice model. Our findings show Arabic, Chinese and Thai numerals were represented in the mental space by perceptual similarities. We also find non-symbolic dots were represented by perceptual and numerical similarities. This work is a novel contribution to the literature and lays the foundation for further investigations into the mental representation of numerals across cultures.

2021 ◽  
Author(s):  
Paul Michael Garrett ◽  
Murray Scott Bennett ◽  
Yu-Tzu Hsieh ◽  
Zachary L Howard ◽  
Cheng-Ta ◽  
...  

Numerals are part of our everyday lives and are regularly viewed in less-than ideal conditions. Mistaking one numeral for another is almost an inevitability, and the cost of these confusions could be insignificant or hugely expensive! Numeral confusions can be explained by distances between our mental representations — how we internally represent the external world — resulting from their perceived similarities; yet, how expertise interacts with the mental space of numerals is largely unexplored. We used an identification paradigm to investigate the mental representations of familiar and unfamiliar numerals (4 sets: Arabic, Chinese, Thai, and non-symbolic dots) in a first-language English and a first-language Chinese speaking cohort. Using Luce's choice model, we removed the undesired effect of response bias and conducted multidimensional scaling analyses. Results showed that expertise with numerals alters distances in the mental space, that unfamiliar numerals are represented identically across cultures, that non-symbolic numerals (dots) may be represented both perceptually and numerically in the mental space, and that Arabic, Thai and Chinese numerals are represented by their perceptual similarities. The findings and methods of this study provide a principled foundation for future investigations into how expertise shapes people's mental representations.


2001 ◽  
Vol 60 (1) ◽  
pp. 11-14 ◽  
Author(s):  
Lucia Savadori ◽  
Eraldo Nicotra ◽  
Rino Rumiati ◽  
Roberto Tamborini

The content and structure of mental representation of economic crises were studied and the flexibility of the structure in different social contexts was tested. Italian and Swiss samples (Total N = 98) were compared with respect to their judgments as to how a series of concrete examples of events representing abstract indicators were relevant symptoms of economic crisis. Mental representations were derived using a cluster procedure. Results showed that the relevance of the indicators varied as a function of national context. The growth of unemployment was judged to be by far the most important symptom of an economic crisis but the Swiss sample judged bankruptcies as more symptomatic than Italians who considered inflation, raw material prices and external accounts to be more relevant. A different clustering structure was found for the two samples: the locations of unemployment and gross domestic production indicators were the main differences in representations.


2014 ◽  
Vol 26 (39) ◽  
pp. 819
Author(s):  
Cleverson Leite Bastos ◽  
Tomas Rodolfo Drunkenmolle

This article critically analyses the notion of intentionality from several philosophical cognitive points of view. The authors argue that the notion of mental representation in the wider sense and intentionality in the narrower sense remains elusive despite accommodated paradoxes, improved semantic precision and more sophisticated strategies in dealing with intentionality. We will argue that different approaches to intentionality appear to be coherent in their inferences. However, most of them become contradictory and mutually exclusive when juxtaposed and applied to borderline questions. While the explanatory value of both philosophy of mind as well as cognitive psychology should not be underestimated, we must note that not even hard-core neuroscience has been able to pin point what is going on in our minds, let alone come up with a clear cut explanation how it works or a definition of what thought really is. To date, however, intentionality is the best of all explanatory models regarding mental representations.


2016 ◽  
Vol 36 (3) ◽  
pp. 22 ◽  
Author(s):  
Juan Diego Pineda Jaramillo ◽  
Iván Reinaldo Sarmiento Ordosgoitia ◽  
Jorge Eliécer Córdoba Maquilón

Most Colombian freight is transported on roads with barely acceptable conditions, and although there is a speculation about the need for a railway for freight transportation, there is not a study in Colombia showing the variables that influence the modal choice by the companies that generate freight transportation. This article presents the calculation of demand for a hypothetical railway through a discrete choice model. It begins with a qualitative research through focus group techniques to identify the variables that influence the choice of persons responsible for the transportation of large commercial companies in Antioquia (Colombia). The influential variables in the election were the cost and service frequency, and these variables were used to apply a Stated Preference (SP) and Revealed Preference (RP) survey, then to calibrate a Multinomial Logit Model (MNL), and to estimate the influence of each of them. We show that the probability of railway choice by the studied companies varies between 67% and 93%, depending on differences in these variables.


2014 ◽  
Vol 26 (2) ◽  
pp. 73-96 ◽  
Author(s):  
Regan N. Schmidt

ABSTRACT: This study examines how external auditors' accessibility to “tone at the top” knowledge impacts subsequent audit judgments. To examine this relationship, a decision aid is investigated that differentially facilitates the auditors' retrieval of “tone at the top” evidence from memory. Results of an experiment indicate that, holding the client's “tone at the top” constant, the structure of a control environment decision aid influences the auditors' mental representation of the “tone at the top.” Further, favorable “tone at the top” mental representations transfer to induce relatively favorable control environment and fraud risk assessments, and greater reliance on management's explanation for variances detected in analytical procedures. Mediation analyses identify the control environment assessment as a mediator between the influenced mental representation and the subsequent fraud risk and analytical procedure judgments. The results of the paper underscore the importance of how auditors develop their “tone at the top” mental representations, the influence of these mental representations on subsequent audit judgments, and the stage in the audit process where interventions can improve audit quality. Data Availability: Contact the author.


Author(s):  
Hiroki Fukushima

In this chapter, methodologies for producing a mental representation of a cup of sake are introduced. Mental representations of taste are often vague and fuzzy in comparison to audio or visual images. On the other hand, some individuals, such as sommeliers or tasters of sake, are able to readily formulate a representation of the taste they experience. How can the average person produce words or other types of mental representations in such a situation? In this chapter, the author presents three methodologies for eliciting mental representations of taste: a new supporting tool for verbalizing an image of taste, an experimental method for testing a verbal and visual image for taste, and an experimental methodology for producing a free drawing representation of a cup of sake.


Linguistics ◽  
2020 ◽  
Vol 58 (1) ◽  
pp. 37-81
Author(s):  
Véronique Verhagen ◽  
Maria Mos ◽  
Joost Schilperoord ◽  
Ad Backus

AbstractIn a usage-based framework, variation is part and parcel of our linguistic experiences, and therefore also of our mental representations of language. In this article, we bring attention to variation as a source of information. Instead of discarding variation as mere noise, we examine what it can reveal about the representation and use of linguistic knowledge. By means of metalinguistic judgment data, we demonstrate how to quantify and interpret four types of variation: variation across items, participants, time, and methods. The data concern familiarity ratings assigned by 91 native speakers of Dutch to 79 Dutch prepositional phrases such as in de tuin ‘in the garden’ and rond de ingang ‘around the entrance’. Participants performed the judgment task twice within a period of one to two weeks, using either a 7-point Likert scale or a Magnitude Estimation scale. We explicate the principles according to which the different types of variation can be considered information about mental representation, and we show how they can be used to test hypotheses regarding linguistic representations.


Polymers ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2415
Author(s):  
Taegyun Kwon ◽  
Jinyoung Chun

Although water, air, and other resources are abundant on earth, they have been subjected to strict environmental regulations. This is because of their limitation of availability for human consumption. In the separation industry, the membrane system was introduced to increase the amount of resources available to mankind. Experts used an easy-to-use polymeric material to design several membranes with porous structures for wastewater treatment, gas separation, and chemical removal; consequently, they succeeded in obtaining positive results. However, past polymeric membranes exhibited a chronic drawback such that it was difficult to simultaneously augment the permeate flux and improve its selectivity toward certain substances. Because of the trade-off relationship that existed between permeability and selectivity, the membrane efficiency was not very good; consequently, the cost-effectiveness was significantly hindered because there was no other alternative than to replace the membrane in order to maintain its initial characteristics steadily. This review begins with the introduction of a polymer nanocomposite (PNC) membrane that has been designed to solve the chronic problem of polymeric membranes; subsequently, the stimuli-responsive PNC membrane is elucidated, which has established itself as a popular topic among researchers in the separation industry for several decades. Furthermore, we have listed the different types and examples of stimuli-responsive PNC membranes, which can be switched by external stimuli, while discussing the future direction of the membrane separation industry.


Author(s):  
Tuan Q. Tran ◽  
Peter D. Elgin ◽  
Keith S. Jones ◽  
Kimberly R. Raddatz ◽  
Elizabeth T. Cady

The increasingly popular avenue of web-based distance education places high demand on distance educators to format web pages that facilitate learning. Guidelines regarding appropriate writing styles for web-based distance education, however, do not currently exist. The purpose of this study is to investigate the effects of four different writing styles on the reader's mental representation of web text. Participants will study hypertext written in one of four web-writing styles (e.g., concise, scannable, objective, and combined) and then be given a cued association task intended to measure participants' mental representations of the studied information. It is hypothesized that the scannable and combined styles will bias readers to scan rather than elaborately read which may result in less dense mental representations relative to the objective and concise writing styles. Further, the use of more descriptors in the objective writing style will lead to better integration of ideas and more dense mental representations than the concise writing style.


DYNA ◽  
2019 ◽  
Vol 86 (211) ◽  
pp. 32-41 ◽  
Author(s):  
Juan D. Pineda-Jaramillo

In recent decades, transportation planning researchers have used diverse types of machine learning (ML) algorithms to research a wide range of topics. This review paper starts with a brief explanation of some ML algorithms commonly used for transportation research, specifically Artificial Neural Networks (ANN), Decision Trees (DT), Support Vector Machines (SVM) and Cluster Analysis (CA). Then, these different methodologies used by researchers for modeling travel mode choice are collected and compared with the Multinomial Logit Model (MNL) which is the most commonly-used discrete choice model. Finally, the characterization of ML algorithms is discussed and Random Forest (RF), a variant of Decision Tree algorithms, is presented as the best methodology for modeling travel mode choice.


Sign in / Sign up

Export Citation Format

Share Document