Skip to main content

ORIGINAL RESEARCH article

Front. Psychol., 17 May 2021
Sec. Cognition
This article is part of the Research Topic Mental Model Theory in Relational Reasoning: Refinements, Extensions, and Criticisms View all 7 articles

The Influence of Language on Spatial Reasoning: Reading Habits Modulate the Formulation of Conclusions and the Integration of Premises

  • 1Center for Cognitive Sciences, University of Neuchâtel, Neuchâtel, Switzerland
  • 2Trajectoires Team, Centre de Recherche en Neurosciences de Lyon, CNRS UMR 5292, Inserm UMR-S 1028, Université Lyon 1, Lyon, France

In the present study, we explore how reading habits (e.g., reading from left to right in French or reading from right to left in Arabic) influence the scanning and the construction of mental models in spatial reasoning. For instance, when participants are given a problem like A is to the left of B; B is to the left of C, what is the relation between A and C? They are assumed to construct the model: A B C. If reading habits influence the scanning process, then readers of French should inspect models from left to right, whereas readers of Arabic should inspect them from right to left. The prediction following this analysis is that readers of French should be more inclined to produce “left” conclusions (i.e., A is to the left of C), whereas readers of Arabic should be more inclined to produce “right” conclusions (i.e., C is to the right of A). Furthermore, one may expect that readers of French show a greater ease in constructing models following a left-to-right direction than models following a right-to-left direction, whereas an opposite pattern might be expected for readers of Arabic. We tested these predictions in two experiments involving French and Yemeni participants. Experiment 1 investigated the formulation of conclusions from spatial premises, and Experiment 2, which was based on non-linguistic stimuli, examined the time required to construct mental models from left to right and from right to left. Our results show clear differences between the two groups. As expected, the French sample showed a strong left-to-right bias, but the Yemeni sample did not show the reverse bias. Results are discussed in terms of cultural influences and universal mechanisms.

Introduction

A Cultural Hypothesis in the Manipulation of Mental Models

Imagine that a grocer is telling you how fruits are arranged in the store:

Pears are to the left of Apples.

Oranges are to the right of Apples.

Lemons are in front of Pears.

Kiwis are in front of Oranges.

To make sense of these statements, you will probably build a mental model that is analogous to the situation they describe (DeSoto et al., 1965; Huttenlocher, 1968; Johnson-Laird, 1983):

yes

From this model, you may then infer relations that were not explicitly stated in the description, such as the relation between Lemons and Kiwis, namely, you may infer that “Lemons are to the left of Kiwis,” or equivalently, that “Kiwis are to the right of Lemons.” Although, these two conclusions describe the same situation, they may result from distinct mental processes. In an earlier study, Van der Henst and Schaeken (2005) argued that the formulation of conclusions may be driven by the scanning direction of mental models. In particular, if reasoners scan their model from left to right and formulate a conclusion while they perform the scanning, the item located on the left of the model will be the first to be encountered. The grammatical subject of the conclusion will thus likely refer to that item (i.e., Lemons are to the left of Kiwis). Alternatively, if reasoners scan their model from right to left, the grammatical subject of the conclusion is likely to refer to the item on the right of the mental model (i.e., Kiwis are to the right of Lemons).

yes

As the structure of mental models is not verbal but is analogous to the structure of the situations they represent, mechanisms involved in visuospatial processing are likely to contribute to the construction and manipulation of mental models (Vandierendonck and De Vooght, 1997; Knauff et al., 2002; Prado et al., 2010). Van der Henst and Schaeken (2005) proposed that a key factor that determines the scanning direction of spatial mental models is that of writing and reading habits, such as left-to-right (LTR) reading habits in Latin and Cyrillic, or right-to-left (RTL) reading habits in Arabic and Hebrew. Reading habits largely contribute to cultural differences in many visuospatial tasks and in more cognitive tasks that engage visuospatial mechanisms. Indeed, they are known to influence spatial attention (Spalek and Hammad, 2005), line estimation (Chokron and Imbert, 1993; Chokron and de Agostini, 1995; Chokron et al., 1998; Singh et al., 2000), image perception (Afsari et al., 2016), drawing orientation (Nachshon, 1985; Vaid et al., 2002; Kebbe and Vinter, 2013), aesthetic judgment (Vaid and Singh, 1989; Eviatar, 1997; Nachshon et al., 1999; Chokron and de Agostini, 2000; Pérez González, 2012; Chahboun et al., 2017), product choice (Ariga, 2018), memorization and recall of information (Nachshon et al., 1977; Padakannaya et al., 2002; Chan and Bergen, 2005), and number representation (SNARC effect, Dehaene et al., 1993; Zebian, 2005; Shaki and Fischer, 2008; Shaki et al., 2009; Shaki and Gevers, 2011), as well as the representation of time and events (Tversky et al., 1991; Maass and Russo, 2003; Chan and Bergen, 2005; Dobel et al., 2007, 2014; Fuhrman and Boroditsky, 2010; Ouellet et al., 2010).

Evidence of the Influence of Reading Habits on Relational Reasoning

In their study dedicated to relational reasoning, Van der Henst and Schaeken (2005) asked a group of students who were readers of Dutch to answer questions from spatial descriptions similar to the one presented above and found that those students were more likely to formulate conclusions compatible with their LTR reading habits. Because spatial influences on mental representations provide strong evidence for the existence of mental models (Van der Henst, 2002; Van der Henst and Schaeken, 2005; Prado et al., 2008; von Hecker et al., 2016), the effect of reading habits on the representation of spatial descriptions and spatial reasoning has since been assumed in several studies. For instance, Jahn et al. (2007) found that people reading a reasoning premise like “A table is between a TV and a chair” more often represented its meaning with a mental model where the TV was on the left of the table and the chair was on its right (TV—table—chair), reflecting an LTR preference, than a model with a reverse arrangement (chair—table—TV), reflecting an RTL preference. However, the studies of Van der Henst and Schaeken (2005) and Jahn et al. (2007) included only readers of LTR languages, which did not allow for testing the prediction of an intercultural difference.

In later work, however, Román et al. (2013) did compare readers of an LTR language (i.e., Spanish) to readers of an RTL language (i.e., Moroccan Arabic) on the influence of model construction. They asked participants to draw situations described by auditory sentences, such as “A table is between a TV and a chair,” and observed a clear influence of reading habits. While in the Spanish group 70.7% of the drawings reflected an LTR representation (TV—table—chair), in the Moroccan group 61.7% of the drawings reflected an RTL representation (chair—table—TV); moreover, a group exposed to both RTL and LTR languages showed a weaker lateral bias. Research has also shown that the LTR bias in model construction could be reduced by exploring a speechless comic with RTL directionality (Román et al., 2018) or by reading a short text in which the direction of letters is reversed and which imposes an RTL reading (Román et al., 2015).

Reading habits also affect the evaluation process of conclusions that can be drawn from mental models. In this respect, von Hecker et al. (2016) found evidence of a lateral anchoring when reasoners construct a mental model from premises conveying a social linear order such as A > B, B > C, C > D, D > E (where “>” could mean richer, smarter, stronger, etc.), or E < D, D < C, C < B, B < A (where “ < ” could mean less rich, less smart, less strong, etc.). In their study, readers of English evaluated more quickly a pair when the socially dominant item of that pair was presented on the left side of the screen (e.g., B–D, if B is more dominant than D) than on the right side (e.g., D–B). This result suggests that the most dominant item of a linear order (A–B–C–D–E) was anchored on the left side of their mental models. However, for a group of non-university participants who were readers of an RTL language (i.e., Farsi), the effect was reversed, which indicated that these participants anchored the most dominant item on the right side of their mental model (von Hecker et al., 2016).

The Current Study

Taken together, these studies show that people prefer to build certain models rather than others and that these preferences are guided by reading habits. In the current research, we extend these findings in two ways. First, we investigate the influence of reading habits on the scanning of mental models once they are built. We hypothesize that reading habits may induce different perspectives on the exploration and thus on the description of mental models. In Experiment 1, we test the prediction that LTR readers scan their model from left to right, whereas RTL readers scan their models from right to left. In line with Van der Henst and Schaeken (2005) proposal, we presume that the formulation of conclusions is likely to reveal the scanning directions. Hence, we assume that conclusions such as “X is to the left of Y” (henceforth “left” conclusions) should reveal an LTR scanning, whereas conclusions such as “Y is to the right of X” (henceforth “right” conclusions) should reveal an RTL scanning.

Second, while past research examined which model is preferentially built, we examine the influence of reading habits when the content of two premises is integrated into a single mental model. Indeed, the integration of premises is a crucial component of the building process (see Bonnefond et al., 2014). We thus compared the effort required to integrate premises in an LTR direction to the effort required to integrate premises in an RTL direction:

yes

In order to dispose of two populations with opposite reading and writing systems and with relatively few influences from other reading habits, the two experiments were carried out with French (LTR) and Yemeni (RTL) participants. All the data were collected in 2006 at the University of Sana'a (Yemen) and 2007 at the Lumière University Lyon 2 (France). In Experiment 1, French participants should produce more “left” than “right” conclusions while the inverse pattern is expected for the Yemeni. In Experiment 2, the integration of the second premise should be facilitated when the problem requires a construction that matches with the reading habits of the participants. So, French participants should exhibit lower latencies in the LTR mode of construction compared to the RTL construction, whereas the reverse pattern should be observed for the Yemeni.

Experiment 1

Participants

Forty-five French (39 females, meanage = 19.4 years, SD = 2.46 years) and 46 Yemeni (43 females, meanage = 20.1 years, SD = 2.55 years) undergraduate students participated in this experiment. None of the French students were Arabic speakers, and none of the Yemeni were French speakers (still some of them had very limited knowledge of English or French). Two participants from the French group were excluded from the analyses because none of their answers were correct. Four participants from the Yemeni group were also discounted, 2 because none of their answers were correct, one because she gave only “in front of”–type responses to all the problems, and 1 because she gave no answers at all.

Methods

Materials

Participants had to solve eight 1-model problems (Table 1) as in Van der Henst and Schaeken (2005). Each problem consisted of a set of four premises and one question. Each problem referred to a set of fruits or vegetables whose name started with different letters. We selected fruits and vegetables that were familiar to the participants and used them according to the country. The first two premises involved the relational expression “to the left of” or “to the right of,” and the last two premises involved the relational expression “in front of.” The four sentences were followed by a question asking the relation between the last two items introduced in the description. For each problem, there were two correct conclusions, a “left” conclusion (e.g., “The kiwi is to the left of the nectarine”) and a “right” conclusion (e.g., “The nectarine is to the right of the kiwi”).

TABLE 1
www.frontiersin.org

Table 1. The eight problems used in Experiment 1 and their associated mental models (the question is: “What is the relation between D and E?”).

For the statistical analysis regarding the wording of conclusions, we only take into account the correct answers. Thus, to ensure having the highest amount of data per participant, we restricted our study to one-model problems due to the fact that they are easier to solve than two-model problems (Byrne and Johnson-Laird, 1989). The use of the eight problems permitted to control for their formulation (the order of presentation, the spatial relation in the two first premises) and, most importantly in this study, the relative positions of the last two items that could impact the wording of conclusion (for the details, see Van der Henst and Schaeken, 2005). As reported in Table 1 (see corresponding mental models), problems 1–4 are characterized by the fact that D is located to the left of E, whereas problems 5–8 invite to construct a mental model where D is located to the right of E. In the rest of the article, we will refer to them as “type 1” (problems 1–4) and “type 2” (problems 5–8) problems.

Procedure

Participants were tested in group in a classroom of their University. The instructions and the eight problems were presented in a written format in a nine-page booklet. The first page contained the instructions and an example. Each problem was presented separately on a sheet, and the presentation order of the problems was pseudo-randomized between participants. Participants were instructed not to draw or take notes and to provide only one answer for each problem. The problems were translated from French to Arabic by a native speaker and reviewed by a second native informant. All the responses provided by the Yemeni participants were translated to French by a native speaker.

Results and Discussion

Data Treatment and Statistical Methods

Data processing, analyses, and plotting were conducted with R in RStudio (RStudio Team, 2020) using the following packages: tidyverse (Wickham, 2017), lme4 (Bates et al., 2015), sjPlot (Lüdecke, 2020a), sjlabelled (Lüdecke, 2020b), sjmisc (Lüdecke, 2018), coefplot (Lander, 2018), and Lattice (Sarkar, 2008).

We used generalized linear mixed-effects models (GLMMs, binomial family, logit link) to assess the effects of problem type (type 1 coded as−1 and type 2 coded as 1) as within-subjects factor and language (Arabic coded as−1 and French coded as 1) as between-subjects factor on accuracy (0 for incorrect answer and 1 for correct answer) and on the wording of conclusions (0 for “left” conclusion and 1 for “right” conclusion). These contrasts were coded as orthogonal custom contrasts (i.e., planned comparisons) in which the fixed effects estimated the differences between conditions, and the intercept estimated the grand mean of dependent variables. All the GLMMs included the intercept of participants and items as crossed random effects, and the models were fitted via the maximum likelihood estimation procedure.

A step-up strategy was used to implement our models. We started with the implementation of a null model, which included the intercept as a fixed effect, and the intercept of items and persons as crossed-random effects. Then, we successively included the fixed effects and the interaction. Finally, we used two criteria to select the winning model: the log-likelihood statistic along with Akaike Information Criterion (AIC). The model with the lowest AIC was preferred. To disambiguate the model selection process, we included the AIC differences (i.e., ΔAIC)1. According to Burnham and Anderson (2002, p. 70), values of ΔAIC between 0 and 2 indicate little support to discriminate between models, ΔAIC from 4 to 7 indicate less support for the model with higher AIC, and ΔAIC > 10 suggests no support for the model with the higher AIC.

Accuracy

Table 2 presents the ΔAIC values for each model for accuracy (see top panel). The ΔAIC values exclusively support model 5, which was regarded as the winning model. The negative estimate of the interaction term between language and problem type indicates that, for type 1 problems, the French outperformed the Arabic speakers (see estimate parameters, top panel of Table 3). To better understand the interaction, we performed a main-effects analysis of model 5. To this end, three contrasts were computed: French type 1 problems vs. French type 2 problems, Arab type 1 problems vs. French type 2 problems, and Arab type 2 problems vs. French type 2 problems (see top panel of Table 4). The first contrast was the only one to reveal an effect on accuracy, and its positive estimate suggests that French participants were more accurate when confronted to type 1 than type 2 problems. Figure 1 helps illustrate these findings.

TABLE 2
www.frontiersin.org

Table 2. Models testing sequence for Accuracy and Wording of conclusions.

TABLE 3
www.frontiersin.org

Table 3. Parameter estimates of models Accuracy and Wording of conclusions.

TABLE 4
www.frontiersin.org

Table 4. Parameters estimates of the interaction of model 5 for Accuracy and the interaction of model 5 for Wording of conclusions.

FIGURE 1
www.frontiersin.org

Figure 1. Accuracy as a function of Problem type and Language. The within-subjects 95% confidence intervals were computed following the method proposed by Morey (2008) and were implemented using the R functions developed by Chang (2018).

Wording of Conclusions

To analyze the wording of conclusions, we only took into account correct responses. On the whole, the French tend to produce more “left” (61%) than “right” (39%) conclusions [t(262) = −3.59, p <0.001], whereas Yemeni participants produced as many “left” (47%) as “right” (53%) conclusions [t(206) = 0.79, p = 0.43]. The bottom panel in Table 2 displays the model testing sequence for wording of conclusions as a function of language and problem type. The ΔAIC values exclusively favor model 5, which was considered as the winning model. The positive estimate of the interaction term between language and problem type indicates that, for type 2 problems, Yemeni produced more “right” conclusions than French participants (see estimate parameters, bottom panel of Table 3). Again, to break down the interaction, we performed a main-effects analysis using French type 1 problems as a reference. The contrast between French and Arabic speakers for type 1 problems revealed that both groups generated as many “left” conclusions (see bottom panel of Table 4). Figure 2 illustrates these findings.

FIGURE 2
www.frontiersin.org

Figure 2. Wording of conclusions as a function of Problem type and Language. A negative score indicates a higher proportion of “left” conclusions (coded as −1), and a positive score, a higher proportion of “right” conclusions (coded as +1). The within-subjects 95% confidence intervals were computed following the method proposed by Morey (2008) and were implemented using the R functions developed by Chang (2018).

Discussion

The first experiment revealed that reading habits influenced the way participants scanned their mental models and described the conclusions they drew from these models. On the whole, French participants produced more “left” than “right” conclusions regardless of problem type, replicating the results obtained with readers of Dutch by Van der Henst and Schaeken (2005). On the contrary, Yemeni participants produced as many “left” as “right” conclusions. This overall group difference was qualified by the type of problems. When dealing with type 1 problems, which induce an LTR scanning, French and Yemeni participants produced more “left” conclusions (respectively, 74 and 79%). However, with type 2 problems, which invite an RTL scanning, Yemeni showed a clear preference for “right” (84%) over “left” conclusions (16%), whereas French produced as many “left” as “right” conclusions (45 vs. 55%). The formulation of conclusions drawn by Yemeni was more dependent on the direction of model construction prompted by problem type than on their reading habits. This suggests that Yemeni participants were less influenced by the writing direction of their native language than French. Complementary to our main results, we observed a difference in terms of accuracy between our two groups of participants. This effect could be attributed to the fact that Yemeni participants were less familiar with psychological experiments than the French students (for similar results, see von Hecker et al., 2016).

Experiment 2

Participants

Twenty-two French (12 females, meanage = 21.7 years, SD = 2.03 years) and 33 Yemeni (16 females, meanage = 22.1 years, SD = 2.26 years) undergraduate students participated in this experiment. None of the French students were Arabic speakers, and none of the Yemeni were French speakers (but some of them had very limited knowledge of English or French).

Methods

Materials

Each problem was formed by two premises reporting a spatial relation between three objects (e.g., The apple is to the left of the lemon; the lemon is to the left of the orange) and a conclusion to evaluate (e.g., The apple is to the left of the orange). In order to limit the influence of linguistic factors in the task, the problems involved photographs of real items instead of sentences (Figure 3). Items were selected according to two criteria: First, they were available in both countries, and second, they had a symmetrical shape in order to avoid any influence of orientation. For each problem, the three items belong to the same group, namely, either fruits, vegetables, or kitchen utensils. Sixteen triplets of stimuli, therefore 16 different problems, constitute the main material of our experiment (Figure 3).

FIGURE 3
www.frontiersin.org

Figure 3. Illustration of the sequence of events and the two directions of construction.

There were two types of problems that differed according to the direction of model construction (LTR vs. RTL, see Figure 3), and there were two types of conclusions (true vs. false, see Figure 4). The conclusions proposed to the participants could take four different forms: (a) a relation that can be inferred from the two premises (true conclusion); (b) a relation that contradicts the relation inferred from the premises (false conclusion); (c) a relation that has already been presented (true premise 1 or 2); and (d) a relation that contradicts a relation that has been presented (false premise 1 or 2). Conditions (c) and (d) were introduced to prevent the use of a short-cut strategy that would consist in solving the task without constructing any mental model. Indeed, one could solely remember the position of one of the two elements of the first (or second) premise (e.g., [Apple] in Figure 3) and verify if it is present at the same location in the conclusion, without making any inference or integrating the two premises. The fact that participants were not able to predict which relation they would be asked to evaluate forced them to build a mental model containing the three objects (Figure 4).

FIGURE 4
www.frontiersin.org

Figure 4. Illustration of the four types of conclusions.

Procedure

Before starting the reasoning tasks, the experimenter exposed to the participants the four types of problems they will have to solve (Figure 4), and they were familiarized with the task by solving eight training problems. The instructions were translated from French to Arabic by a native speaker and reviewed by a second Yemeni informant.

Participants had to solve 32 problems presented in two blocks. Each block contained eight problems in which the conclusion involved one item of each premise and eight problems in which the conclusion involved two items from a single premise. Half of the problems required an LTR construction, and the other half required an RTL construction. From one block to the other, the same triplets of stimuli were used, but they were presented in the opposite direction (e.g., a problem presented from LTR in the first block was presented from RTL in the second block). The order of presentation of the problems was randomized across participants. Stimuli were presented on a laptop using E-Prime 1.1 (Schneider et al., 2002). Participants were instructed to answer as fast and as accurate as possible and instructed (and reminded before each block) to keep their fingers on the keyboard throughout the entire experiment.

Each relation of the problems was presented separately (Figure 3). The trial begins with the first premise. To move from the first premise to the second premise, and then to the conclusion, participants had to press the spacebar. A cross (+) was presented in the center of the screen before the second premise, and a pound sign (#) before the conclusion. Participants were then instructed to give their answer (regarding the validity of the conclusion) using one of the two keys (e.g., “true” or “false”) signaled by a Post-it (respectively, green or red) on the keyboard (positions counterbalanced between subjects).

Results and Discussion

Data Treatment and Statistical Methods

The same statistical method and criteria employed for Experiment 1 were adapted to analyze the data collected in Experiment 2. We first used GLMMs (binomial family, logit link) to assess the effect of direction of construction (LTR coded as−1 and RTL coded as 1) as within-subjects factor and language (Arab coded as−1 and French coded as 1) as between-subjects factor on the accuracy (0 for incorrect answer and 1 for correct answer). We then fitted linear mixed models to examine the effects of the same variables (using the same contrasts coding scheme) on the processing time of premise 2 (RT premise 2). RTs premise 2 of each population lower than the fifth percentile and higher than the mean +2.5*SD were excluded from the analyses, and the resulting data set underwent a log transformation before performing the analyses.

Accuracy

The ΔAIC values exclusively support model 5, which was thus taken as the winning model (see top panel of Table 5). The positive estimate of the interaction term between language and direction indicates that, in the LTR condition, the French outperformed the Arabic speakers (see estimate parameters, top panel of Table 6). Nevertheless, in order to fully explore the interaction, we performed a main-effects analysis using French RTL as a reference (see top panel of Table 7). The only difference appeared for French participants when the LTR and the RTL were contrasted. Its positive estimate indicates a higher accuracy in the former compared to the latter condition. Figure 5 illustrates these findings.

TABLE 5
www.frontiersin.org

Table 5. Models testing sequence for Accuracy and Premise 2 processing time.

TABLE 6
www.frontiersin.org

Table 6. Parameters estimates of models Accuracy and Premise 2 processing time.

TABLE 7
www.frontiersin.org

Table 7. Parameters estimates of the interaction of model 5 for Accuracy and the interaction of model 5 for Premise 2 processing time.

FIGURE 5
www.frontiersin.org

Figure 5. Accuracy as a function of Direction and Language. The within-subjects 95% confidence intervals were computed following the method proposed by Morey (2008) and were implemented using the R functions developed by Chang (2018).

Premise 2 Processing Time

In the following analyses, only accurate trials were included. The ΔAIC values exclusively favor model 5, which was thus considered as the winning model (see bottom panel of Table 5). The negative estimate of the interaction term between direction and language suggests that, in the LTR condition, the French were faster than the Arabic speakers to treat premise 2 (see bottom panel of Table 6). Again, we performed a main-effects analysis to break down the interaction based on the same contrasts as used previously (see bottom panel of Table 7). The contrast for French speakers revealed that they significantly took more time processing premise 2 in the RTL condition. Figure 6 illustrates these findings.

FIGURE 6
www.frontiersin.org

Figure 6. Premise 2 processing time as a function of Direction and Language. The within-subjects 95% confidence intervals were computed following the method proposed by Morey (2008) and were implemented using the R functions developed by Chang (2018).

Discussion

Experiment 2 showed that reading habits affected how people construct their mental models. Indeed, the processing time of the second premise revealed a facilitating effect for French participants for LTR problems compared to RTL problems. Interestingly, such difference was not observed for Yemeni participants. As in Experiment 1, the Yemeni participants did not show an RTL preference, whereas the French participants show a clear preference for the LTR construction. Additionally to our main results, we noticed a difference in terms of response time between our two samples. Again, this difference could be attributed to the lack of familiarity of the Yemeni participants with psychological experiments but also with the use of computers, because at the time of the data collection, none of them possessed a personal or home computer (for similar results, see von Hecker et al., 2016).

General Discussion

In this article, we report the results of two complementary experiments investigating the influence of reading habits on spatial reasoning. The results indicated that participants exposed to opposite reading habits differed in the way they reason. These data add up to the rich literature on reading habits showing that this cultural factor impacts a variety of cognitive processes, from low-level skills, such as perception or attention, to high-order cognition such as relational reasoning. In particular, they extend the results of earlier studies showing that reading habits determine the mental models that people preferentially construct (Jahn et al., 2007; Román et al., 2013, 2015, 2018; von Hecker et al., 2016). In the current study, French and Yemeni participants did not show the same pattern of results when describing conclusions from mental models and integrating information within a model. While French participants displayed a clear LTR bias in both experiments, there was not such a bias for Yemeni participants.

These results, however, contradict some of our predictions as Yemeni participants did not show an RTL bias. One explanation for this asymmetry is the possible exposure of Yemeni participants to LTR languages. They were University students and were thus likely to be exposed to LTR languages, through the influence of Western culture and the English language, whereas an exposure to RTL languages was probably less likely in the French group. Past research has shown that the directional bias reported in RTL readers is not always observed to the same extent as the directional bias found in LTR readers, even for low-level processes as visual scanning (Abed, 1991). In a variety of tasks such as picture naming and recall (Padakannaya et al., 2002), sentence–picture matching (Maass and Russo, 2003), or numerical mapping (Dehaene et al., 1993; Rashidi-Ranjbar et al., 2014; von Hecker et al., 2016), it was also found that the magnitude of this bias is inversely proportional to the duration of exposure to LTR languages. Moreover, a quick training or exposure to certain reading direction patterns seems to be enough to influence how people process information (Román et al., 2015, 2018; Afsari et al., 2016). Finally, it is also worth noting that in von Hecker et al. (2016) work, the student RTL sample did not show any directional bias in the mental model they constructed. It is only in the non-university RTL sample that a right-anchoring effect was reported, as these participants were faster at evaluating a relational pair when the socially dominant item of that pair was presented on the right of the screen (von Hecker et al., 2016). It may therefore be useful in future research to test non-student RTL populations to see if an RTL bias is likely to occur with both tasks of our study.

Another possible explanation of the asymmetry we found relies on the hemispheric specialization of the human brain. Data collected from split-brain patients highlighted the specialization of the right hemisphere for visuospatial processes (for a review, see Gazzaniga, 2005). Furthermore, according to the attentional model developed by Kinsbourne (1970), each hemisphere generates a horizontal attentional vector directed to the contralateral visual hemispace. The spatial nature of the task proposed to participants would engage predominantly the right hemisphere which attentional vector is directed from LTR, prompting them to inspect and construct mental models proceeding from left to right. Indeed, experimental evidence suggests that human beings are endowed with an LTR bias when dealing with spatial exploration or spatial representations. Although first reported in hemispatial negligent patients (for a review see, Corbetta and Shulman, 2011), this asymmetrical spatial bias has been reported in face perception among adults and children (Mertens et al., 1993; Leonards and Scott-Samuel, 2005; Guo et al., 2010), in line-bisection tasks (Bowers and Heilman, 1980), and in visual exploration of natural images (Calen Walshe and Nuthmann, 2014; Ossandón et al., 2014). This LTR bias seems to be an evolutionary inheritance as it has been reported not only in humans but also in rhesus monkeys and domestic dogs (Guo et al., 2009).

Another source of evidence in support of a universal LTR bias relies on the line of research developed by Chatterjee et al. (1995a,b, 1999). Based on the assumption that elementary spatial primitives precede linguistic encoding (Chatterjee, 2001), and generalizing the results obtained from an agrammatical patient, Chatterjee et al. (1999) sustain the hypothesis that events communicated orally are translated into spatial representations following an LTR trajectory. This directional bias would be the consequence of the overlap between the neuronal networks involved in the treatment of verbs and the spatial attention of the left hemisphere that is deployed according to an LTR vector (Chatterjee et al., 1999).

According to the last two accounts, a universal LTR bias would interact with reading habits (Maass and Russo, 2003) with the consequence of being potentialized for LTR readers while attenuated for populations with RTL reading and writing systems. Conducting similar experiments with illiterate participants or a population that do not possess a writing system would help to unravel the contribution of each factor and better measure the impact of a universal bias.

Still, the very fact that we observed different patterns in the two populations provides new evidence of the analogical nature of the representational processes involved in relational reasoning. Not only people create a spatial representation of the problem they are exposed to, but they also navigate into their mental models in order to generate inferences.

Data Availability Statement

The datasets presented in this study can be found at Open Science Framework: 10.17605/OSF.IO/QXDF9.

Ethics Statement

Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent for participation was not required for this study in accordance with the national legislation and the institutional requirements.

Author Contributions

TC: project administration, design, data collection, formal analysis, writing—original draft, writing—review, and editing. J-BV: design, writing—original draft, writing—review, and editing. All authors contributed to the article and approved the submitted version.

Funding

This work was supported by the CNRS, the chair of Linguistics and Analysis of Discourse of the University of Neuchâtel, the INSERM, and a grant from the City of Villefranche-sur-saône (France) awarded to TC.

Conflict of Interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Acknowledgments

The authors are thankful to Catherine Bonjour and Mariam Alzubeer for their precious help in collecting the data at the University of Sana'a (Yemen), the CEFAS (CNRS - USR 3141) for their logistical support, Odir Antonio Rodríguez-Villagra for his advices concerning the statistical analysis, and to Louis de Saussure for his generous help in publishing this article. Finally, we would also like to thank Michel Denis and Walter Schaeken for the encouragement they gave us in this work.

Footnotes

1. ^The procedure to compute the ΔAIC differences implicates to select the model with the lowest AIC, that is, preliminary, a winning model. Then, the differences between the preliminary winning model and the remaining models are computed. After obtaining these differences the winning model adopts a value of 0 and the other models adopt the differences.

References

Abed, F. (1991). Cultural influences on visual scanning patterns. J. Cross Cult. Psychol. 30, 525–534. doi: 10.1177/0022022191224006

CrossRef Full Text | Google Scholar

Afsari, Z., Ossandón, J. P., and König, P. (2016). The dynamic effect of reading direction habit on spatial asymmetry of image perception. J. Vis. 16:8. doi: 10.1167/16.11.8

PubMed Abstract | CrossRef Full Text | Google Scholar

Ariga, A. (2018). Reading habits contribute to the effects of display direction on product choice. PLoS ONE 13:e0209837. doi: 10.1371/journal.pone.0209837

PubMed Abstract | CrossRef Full Text | Google Scholar

Bates, D., Maechler, M., Bolker, B., and Walker, S. (2015). Fitting linear mixed-effects models using lme4. J. Stat. Softw. 67, 1–48. doi: 10.18637/jss.v067.i01

CrossRef Full Text | Google Scholar

Bonnefond, M., Castelain, T., Cheylus, A., and Van der Henst, J. B. (2014). Reasoning from transitive premises: an EEG study. Brain Cogn. 90, 100–108. doi: 10.1016/j.bandc.2014.06.010

PubMed Abstract | CrossRef Full Text | Google Scholar

Bowers, D., and Heilman, K. M. (1980). Pseudoneglect: Effects of hemispace on a tactile line bisection task. Neuropsychologia 18, 491–498. doi: 10.1016/0028-3932(80)90151-7

PubMed Abstract | CrossRef Full Text | Google Scholar

Burnham, K. P., and Anderson, D. R. (2002). Model Selection and Multimodel Inference: A Practical Information-Theoretical Approach. New York, NY: Springer-Verlag. doi: 10.1007/b97636

CrossRef Full Text | Google Scholar

Byrne, R. M., and Johnson-Laird, P. N. (1989). Spatial reasoning. J. Mem. Lang. 28, 564–575. doi: 10.1016/0749-596X(89)90013-2

CrossRef Full Text | Google Scholar

Calen Walshe, R., and Nuthmann, A. (2014). Asymmetrical control of fixation durations in scene viewing. Vision Res. 100, 38–46. doi: 10.1016/j.visres.2014.03.012

PubMed Abstract | CrossRef Full Text | Google Scholar

Chahboun, S., Flumini, A., Pérez González, C., McManus, I. C., and Santiago, J. (2017). Reading and writing direction effects on the aesthetic appreciation of photographs. Laterality Asymmetries Body Brain Cognit. 22, 313–339. doi: 10.1080/1357650X.2016.1196214

PubMed Abstract | CrossRef Full Text | Google Scholar

Chan, T. T., and Bergen, B. (2005). Writing direction influences spatial cognition. in Proceedings of the Twenty-Seventh Annual Conference of the Cognitive Science Society. Mahwah, NJ: Lawrence Erlbaum. 412–417.

Google Scholar

Chang, W. (2018). R Graphics Cookbook (2nd Edition). Champaign, IL: O'Reilly Media, Inc.

Google Scholar

Chatterjee, A. (2001). Language and space: some interactions. Trends Cogni. Sci. 5, 55–61. doi: 10.1016/S1364-6613(00)01598-9

PubMed Abstract | CrossRef Full Text | Google Scholar

Chatterjee, A., Malher, L. M., and Heilman, K. M. (1995a). Spatial characteristic of thematic role representation. Neuropsychologia 33, 643–648. doi: 10.1016/0028-3932(94)00134-b

CrossRef Full Text | Google Scholar

Chatterjee, A., Malher, L. M., Rothi, L. J. G., and Heilman, K. M. (1995b). Asyntactic thematic role assignment: the use of a temporal-spatial strategy. Brain Lang. 49, 125–139. doi: 10.1006/brln.1995.1024

PubMed Abstract | CrossRef Full Text | Google Scholar

Chatterjee, A., Southwood, M. H., and Basilico, D. (1999). Verbs, events and spatial representations. Neuropsychologia 37, 395–402. doi: 10.1016/s0028-3932(98)00108-0

CrossRef Full Text | Google Scholar

Chokron, S., Bartolomeo, P., Perenin, M. T., Helft, G., and Imbert, M. (1998). Scanning direction and line bisection: a study of normal subjects and unilateral neglect patients with opposite reading habits. Cognit. Brain Res. 7, 173–178. doi: 10.1016/s0926-6410(98)00022-6

PubMed Abstract | CrossRef Full Text | Google Scholar

Chokron, S., and de Agostini, M. (1995). Reading habits and line bisection: a developmental approach. Cognit. Brain Res. 3, 51–58. doi: 10.1016/0926-6410(95)00018-6

PubMed Abstract | CrossRef Full Text | Google Scholar

Chokron, S., and de Agostini, M. (2000). Reading habits influence aesthetic preference. Cognit. Brain Res. 10, 45–49. doi: 10.1016/S0926-6410(00)00021-5

CrossRef Full Text | Google Scholar

Chokron, S., and Imbert, M. (1993). Influence of reading habits on line bisection. Cognit. Brain Res. 1, 219–222. doi: 10.1016/0926-6410(93)90005-P

CrossRef Full Text | Google Scholar

Corbetta, M., and Shulman, G. L. (2011). Spatial neglect and attention networks. Annu. Rev. Neurosci. 34, 569–599. doi: 10.1146/annurev-neuro-061010-113731

CrossRef Full Text | Google Scholar

Dehaene, S., Bossini, S., and Giraux, P. (1993). The mental representation of parity and number magnitude. J. Experi. Psychol. Gene. 122, 371–396. doi: 10.1037/0096-3445.122.3.371

PubMed Abstract | CrossRef Full Text | Google Scholar

DeSoto, C. B., London, M., and Handel, S. (1965). Social reasoning and spatial paralogic. J. Pers. Soc. Psychol. 2, 293–307.

Google Scholar

Dobel, C., Diesendruck, G., and Bölte, J. (2007). How writing system and age influence spatial representations of actions: a developmental, cross-linguistic study. Psychol. Sci. 18, 487–491. doi: 10.1111/j.1467-9280.2007.01926.x

PubMed Abstract | CrossRef Full Text | Google Scholar

Dobel, C., Enriquez-Geppert, S., Zwitserlood, P., and Bölte, J. (2014). Literacy shapes thought: The case of event representation in different cultures. Front. Psychol. 5:290. doi: 10.3389/fpsyg.2014.00290

PubMed Abstract | CrossRef Full Text | Google Scholar

Eviatar, Z. (1997). Language experience and right hemisphere task: The effects of scanning habits and multilingualism. Brain Lang. 58, 157–173. doi: 10.1006/brln.1997.1863

PubMed Abstract | CrossRef Full Text | Google Scholar

Fuhrman, O., and Boroditsky, L. (2010). Cross-cultural differences in mental representations of time: evidence from an implicit nonlinguistic task. Cogn. Sci. 34, 1430–1451. doi: 10.1111/j.1551-6709.2010.01105.x

PubMed Abstract | CrossRef Full Text | Google Scholar

Gazzaniga, M. S. (2005). Forty-five years of split-brain research and still going strong. Nat. Rev. Neurosci. 6, 653–659. doi: 10.1038/nrn1723

PubMed Abstract | CrossRef Full Text | Google Scholar

Guo, K., Meints, K., Hall, C., Hall, S., and Mills, D. (2009). Left gaze bias in humans, rhesus monkeys and domestic dogs. Anim. Cogn. 12, 409–418. doi: 10.1007/s10071-008-0199-3

PubMed Abstract | CrossRef Full Text | Google Scholar

Guo, K., Tunnicliffe, D., and Roebuck, H. (2010). Human spontaneous gaze patterns in viewing of faces of different species. Perception 39, 533–542. doi: 10.1068/p6517

PubMed Abstract | CrossRef Full Text | Google Scholar

Huttenlocher, J. (1968). Constructing spatial images: a strategy in reasoning. Psychol. Rev, 75, 550–560. doi: 10.1037/h0026748

CrossRef Full Text | Google Scholar

Jahn, G., Knauff, M., and Johnson-Laird, P. N. (2007). Preferred mental models in reasoning about spatial relations. Mem. Cognit. 35, 2075–2087. doi: 10.3758/bf03192939

PubMed Abstract | CrossRef Full Text | Google Scholar

Johnson-Laird, P. N. (1983). Mental Models. Towards a Cognitive Science of Language, Inference and Consciousness. Cambridge, MA: Harvard University Press.

Google Scholar

Kebbe, H., and Vinter, A. (2013). How culture, age and manual dominance affect directionality in drawing side view objects. J. Cross Cult. Psychol. 44, 160–172. doi: 10.1177/0022022111435098

CrossRef Full Text | Google Scholar

Kinsbourne, M. (1970). The cerebral basis of lateral asymmetries in attention. Acta Psychol. 33, 193–201. doi: 10.1016/0001-6918(70)90132-0

PubMed Abstract | CrossRef Full Text | Google Scholar

Knauff, M., Mulack, T., Kassubek, J., Salih, H. R., and Greenlee, M. W. (2002). Spatial imagery in deductive reasoning: a functional MRI study. Brain Res. Cognit. Brain Res. 13, 203–212. doi: 10.1016/s0926-6410(01)00116-1

PubMed Abstract | CrossRef Full Text | Google Scholar

Lander, J. P. (2018). coefplot: Plots Coefficients From Fitted Models. Available online at: https://CRAN.R-project.org/package=coefplot (accessed November 11, 2020).

Google Scholar

Leonards, U., and Scott-Samuel, N. E. (2005). Idiosyncratic initiation of saccadic face exploration in humans. Vision Res. 45, 2677–2684. doi: 10.1016/j.visres.2005.03.009

PubMed Abstract | CrossRef Full Text | Google Scholar

Lüdecke, D. (2018). sjmisc: data and variable transformation functions. J. Open Source Softw. 3:754. doi: 10.21105/joss.00754

CrossRef Full Text | Google Scholar

Lüdecke, D. (2020a). sjPlot: Data Visualization for Statistics in Social Science. Available online at: https://CRAN.R-project.org/package=sjPlot (accessed November 11, 2020).

Google Scholar

Lüdecke, D. (2020b). sjlabelled: Labelled Data Utility Functions. Available online at: https://CRAN.R-project.org/package=sjlabelled (accessed November 11, 2020).

Google Scholar

Maass, A., and Russo, A. (2003). Directional bias in the mental representation of mental events: nature or culture? Psychol. Sci. 14, 296–301. doi: 10.1111/1467-9280.14421

PubMed Abstract | CrossRef Full Text | Google Scholar

Mertens, I., Siegmund, H., and Grüsser, O.-J. (1993). Gaze motor asymmetries in the perception of faces during a memory task. Neuropsychologia 31, 989–998. doi: 10.1016/0028-3932(93)90154-R

PubMed Abstract | CrossRef Full Text | Google Scholar

Morey, R. D. (2008). Confidence intervals from normalized data: a correction to Cousineau 2005. Tutor. Quant. Methods Psychol. 4, 61–64. doi: 10.20982/tqmp.04.2.p061

CrossRef Full Text | Google Scholar

Nachshon, I. (1985). Directional preferences in perception of visual stimuli. Int. J. Neurosci. 25, 161–174. doi: 10.3109/00207458508985369

PubMed Abstract | CrossRef Full Text | Google Scholar

Nachshon, I., Argaman, E., and Luria, A. (1999). Effects of directional habits and handedness on aesthetic preference for left and right profiles. J. Cross Cult. Psychol. 30, 106–114. doi: 10.1177/0022022199030001006

CrossRef Full Text | Google Scholar

Nachshon, I., Shefler, G. E., and Samocha, D. (1977). Directional scanning as a function of stimulus characteristics, reading habits, and directional set. J. Cross Cult. Psychol. 8, 83–99. doi: 10.1177/002202217781008

CrossRef Full Text | Google Scholar

Ossandón, J. P., Onat, S., and König, P. (2014). Spatial biases in viewing behavior. J. Vis. 14, 1–26. doi: 10.1167/14.2.20

CrossRef Full Text | Google Scholar

Ouellet, M., Santiago, J., Israeli, Z., and Gabay, S. (2010). Is the future the right time? Exp. Psychol. 57, 308–314. doi: 10.1027/1618-3169/a000036

PubMed Abstract | CrossRef Full Text | Google Scholar

Padakannaya, P., Devi, M. L., Zaveria, B., Chenpagga, S. K., and Vaid, J. (2002). Directional scanning effect and strength of reading habits in picture naming and recall. Brain Cogn. 48, 484–490.

Google Scholar

Pérez González, C. (2012). Lateral organisation in nineteenth-century studio photographs is influenced by the direction of writing: a comparison of Iranian and Spanish photographs. Laterality 17, 515–532. doi: 10.1080/1357650X.2011.586701

PubMed Abstract | CrossRef Full Text | Google Scholar

Prado, J., Van Der Henst, J.-B., and Noveck, I. A. (2008). Spatial associations in relational reasoning: evidence for a SNARC-like effect. Q. J. Experi. Psychol. 61, 1143–1150. doi: 10.1080/17470210801954777

PubMed Abstract | CrossRef Full Text | Google Scholar

Prado, J., Van Der Henst, J. B., and Noveck, I. A. (2010). Recomposing a fragmented literature: how conditional and relational arguments engage different neural systems for deductive reasoning. Neuroimage 51, 1213–1221. doi: 10.1016/j.neuroimage.2010.03.026

PubMed Abstract | CrossRef Full Text | Google Scholar

Rashidi-Ranjbar, N., Goudarzvand, M., Jahangiri, S., Brugger, P., and Loetscher, T. (2014). No horizontal numerical mapping in a culture with mixed-reading habits. Front. Hum. Neurosci. 8:72. doi: 10.3389/fnhum.2014.00072

PubMed Abstract | CrossRef Full Text | Google Scholar

Román, A., El Fathi, A., and Santiago, J. (2013). Spatial biases in understanding descriptions of static scenes: the role of reading and writing direction. Mem. Cognit. 41, 588–599. doi: 10.3758/s13421-012-0285-2

PubMed Abstract | CrossRef Full Text | Google Scholar

Román, A., Flumini, A., Lizano, P., Escobar, M., and Santiago, J. (2015). Reading direction causes spatial biases in mental model construction in language understanding. Sci. Rep. 5:18248. doi: 10.1038/srep18248

PubMed Abstract | CrossRef Full Text | Google Scholar

Román, A., Flumini, A., and Santiago, J. (2018). Scanning of speechless comics changes spatial biases in mental model construction. Philo. Transact. R. Soc B: Biol. Sci. 373:20170130. doi: 10.1098/rstb.2017.0130

CrossRef Full Text | Google Scholar

RStudio Team (2020). RStudio: Integrated Development for R. RStudio, Inc. Boston, MA.

Google Scholar

Sarkar, D. (2008). Lattice: Multivariate Data Visualization With R. New York, NY: Springer.

Google Scholar

Schneider, W., Eschman, A., and Zuccolotto, A. (2002). E-Prime (version 1.0). Computer Software and Manual. Pittsburgh, PA: Psychology Software Tools Inc.

Google Scholar

Shaki, S., and Fischer, M. H. (2008). Reading space into numbers: a cross-linguistic comparison of the SNARC effect. Cognition 108, 590–599. doi: 10.1016/j.cognition.2008.04.001

PubMed Abstract | CrossRef Full Text | Google Scholar

Shaki, S., Fischer, M. H., and Petrusic, W. M. (2009). Reading habits for both words and numbers contribute to the SNARC effect. Psychon. Bull. Rev. 16, 328–331. doi: 10.3758/PBR.16.2.328

PubMed Abstract | CrossRef Full Text | Google Scholar

Shaki, S., and Gevers, W. (2011). Cultural characteristics dissociate magnitude and ordinal information processing. J. Cross Cult. Psychol. 42, 639–650. doi: 10.1177/0022022111406100

CrossRef Full Text | Google Scholar

Singh, M., Vaid, J., and Sakhuja, T. (2000). Reading/writing vs handedness influences on line length estimation. Brain Cogn. 43, 398–402.

PubMed Abstract | Google Scholar

Spalek, T. M., and Hammad, S. (2005). The left-to-right bias in inhibition of return is due to the direction of reading. Psychol. Sci. 16, 15–18. doi: 10.1111/j.0956-7976.2005.00774.x

PubMed Abstract | CrossRef Full Text | Google Scholar

Tversky, B., Kugelmass, S., and Winter, A. (1991). Cross-cultural and developmental trends in graphic productions. Cogn. Psychol. 23, 515–557. doi: 10.1016/0010-0285(91)90005-9

CrossRef Full Text | Google Scholar

Vaid, J., and Singh, M. (1989). Asymmetries in the perception of facial affect: Is there an influence of reading habits? Neuropsychologia 27, 1277–1287. doi: 10.1016/0028-3932(89)90040-7

PubMed Abstract | CrossRef Full Text | Google Scholar

Vaid, J., Singh, M., Sakhuja, T., and Gupta, G. C. (2002). Stroke direction asymmetry in figure drawing: influence of handedness and reading/writing habits. Brain Cogn. 48, 597–602.

PubMed Abstract | Google Scholar

Van der Henst, J.-B. (2002). Mental theory versus the inference rule approach in relational reasoning. Think. Reason. 8, 193–203. doi: 10.1080/13546780244000024

CrossRef Full Text | Google Scholar

Van der Henst, J. B., and Schaeken, W. (2005). The wording of conclusions in relational reasoning. Cognition 97, 1–22. doi: 10.1016/j.cognition.2004.06.008

PubMed Abstract | CrossRef Full Text | Google Scholar

Vandierendonck, A., and De Vooght, G. (1997). Working memory constraints on linear reasoning with spatial and temporal contents. Q. J. Experi. Psychol. 50, 803–820. doi: 10.1080/713755735

PubMed Abstract | CrossRef Full Text | Google Scholar

von Hecker, U., Klauer, K. C., Wolf, L., and Fazilat-Pour, M. (2016). Spatial processes in linear ordering. J. Experi. Psychol. 42, 1003–1033. doi: 10.1037/xlm0000220

CrossRef Full Text | Google Scholar

Wickham, H. (2017). tidyverse: Easily Install and Load the 'Tidyverse. Available online at: https://CRAN.R-project.org/package=tidyverse (accessed November 11, 2020).

Google Scholar

Zebian, S. (2005). Linkages between number concepts, spatial thinking, and directionality of writing: the SNARC effect and the reverse SNARC effect in English and Arabic monoliterates, biliterates, and illiterate Arabic speakers. J. Cogn. Cult. 5, 165–190. doi: 10.1163/1568537054068660

CrossRef Full Text | Google Scholar

Keywords: mental models, reading habits, relational reasoning, spatial reasoning, mental scanning

Citation: Castelain T and Van der Henst J-B (2021) The Influence of Language on Spatial Reasoning: Reading Habits Modulate the Formulation of Conclusions and the Integration of Premises. Front. Psychol. 12:654266. doi: 10.3389/fpsyg.2021.654266

Received: 15 January 2021; Accepted: 08 March 2021;
Published: 17 May 2021.

Edited by:

Walter Schaeken, KU Leuven, Belgium

Reviewed by:

Julio Santiago, University of Granada, Spain
Sobh Chahboun, Queen Maud University College, Norway

Copyright © 2021 Castelain and Van der Henst. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Thomas Castelain, thomas.castelain@unine.ch

Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.