# 373 British Journal of Psychology (1999), 90, 373±388 Printed in Great Britain 1999 The British Psychological Society Role of memorization conditions in the haptic processing of orientations and the ` oblique eåect ’ Edouard Gentaz* University of Geneva, Switzerland Yvette Hatwell University Pierre Mende[ s France of Grenoble, France Ê Ê The haptic processing of vertical, horizontal, 45 and 135 oblique orientations was studied in blindfolded sighted adults in an exploration±reproduction task. The purpose was to determine whether the variations of the memorization conditions between the exploration and reproduction phases would in¯uence the global performance and the oblique eåect (lower performance in oblique orientations than in vertical±horizontal orientations). If orientation coding depended on attentional resources, the increase in memory constraints would aåect the haptic processing of orientations and the oblique eåect. Memory constraints were therefore varied by changing the length and the nature of the delay in two tasks in which previous research has shown that the availability of gravitational cues aåected orientation coding. Blindfolded adults were asked to explore haptically a rod with minimal (Expt 1) or natural (Expt 2) gravitational cues and then to reproduce the orientation of this rod ipsilaterally after one of four memorization conditions: with 5 s or 30 s un®lled delays, and 30 s delays ®lled with verbal or haptic interpolated tasks. When the delay was un®lled, whatever its length (5 s or 30 s), the performance depended on the conditions of manual exploration: the oblique eåect was absent when the gravitational cues were minimal (Expt 1) and was present when these cues were natural (Expt 2). By contrast, when the delay was ®lled with interpolated tasks, the haptic oblique eåect was present whatever the conditions of manual exploration. Taken together, these results showed that memorization conditions played a role in the haptic processing of orientations and in the oblique eåect when the gravitational cues were minimal during manual exploration. This study addresses the question of human processing of vertical, horizontal and oblique orientations in the haptic (tactual-kinesthetic) system. The experimenters were interested in examining this spatial property because previous experiments had shown that orientation processing diåered according to the value of the orientation and to the perceptual system activated. In the visual system, the vertical and * Requests for reprints should be addressed to Dr Edouard Gentaz, Faculte! de Psychologie, Universite! de Gene’ ve, Route de Drize 9, 1227 Carouge, Switzerland (e-mail : Edouard.Gentaz! pse.unige.ch). 374 Edouard Gentaz and Yvette Hatwell horizontal orientations are known to be perceived more accurately than the oblique orientations. This anisotropy, which Appelle (1972) called the `oblique eåect ’, is nearly always present, whatever the variety of tasks used (detection, discrimination, identi®cation, recognition, memorization ; Appelle, 1972 ; Essock, 1980 ; Howard, 1982). The mechanisms underlying the processing of orientations and generating the visual oblique eåect seem to be multi-component and occur at diåerent levels of processing (for recent reviews, see Gentaz & Ballaz, in press; Heeley & BuchananSmith, 1990 ; Saarinen & Levi, 1995). By contrast, in the haptic system, the oblique eåect has been explored less often and with one type of task only: an exploration±reproduction task in which blindfolded participants were asked to scan a rod with one hand and to reproduce its orientation with the same or other hand. The studies showed that the oblique eåect is not always present. Consequently, the discussion about the haptic oblique eåect is centred on its existence and the factors which contribute to its manifestation. Lechelt and his associates (Lechelt, Eliuk & Tanne, 1976 ; Lechelt & Verenka, 1980) asked adults to explore a standard rod with one hand and to reproduce its orientation with the other. A haptic oblique eåect was observed with simultaneous and successive (after 0 s or 10 s un®lled delays) reproduction of the stimulus. The results showed in addition that absolute errors in all orientation settings were higher in the simultaneous reproduction than in the successive reproduction after a 0 s un®lled delay (Lechelt et al., 1976). But in oblique settings only, errors were higher in the simultaneous reproduction than in the successive reproduction after a 10 s un®lled delay (Lechelt & Verenka, 1980). According to these authors, the presence of the haptic oblique eåect in the diåerent experimental conditions revealed the importance of experiential and learning factors: because verticals and horizontals are privileged in the ` carpentered environment’, the same oblique eåect is at work in vision and haptics. However, Appelle & Countryman (1986) questioned this interpretation. They argued that the haptic oblique eåect demonstrated by Lechelt and his associates, above, stemmed from the inherently diåerent scanning patterns required in the exploration of obliques when one hand explored the standard and the other set the response rod (` contralateral condition’) as was the case in Lechelt’s experiments. This assumption was supported by the fact that Appelle & Countryman (1986) found no haptic oblique eåect in an ` ipsilateral condition’ in which the same hand explored the standard rod and, after a 5 s un®lled delay, set the response rod. However, these studies did not control the plane in which the task was performed. Gentaz & Hatwell (1995) asked blindfolded sighted adults to reproduce the rod orientation after a 5 s un®lled delay in the ipsilateral and contralateral conditions, either in the horizontal plane (like the surface of a table, as did Appelle & Countryman, 1986), or in the frontal plane (like the surface of a blackboard on a wall, as did Lechelt et al., 1976 ; Lechelt & Verenka, 1980), or in the sagittal plane (in the median plane passing through the midline of the participant’s head). In this latter plane, the same pattern of agonist} antagonist muscles and tendons is activated when one hand explores the vertical, horizontal and oblique rods and the other hand reproduces these orientations. By contrast, in the horizontal and frontal planes, diåerent patterns of agonist} antagonist muscles and tendons are activated when one hand explores an oblique rod and the other hand reproduces this oblique. Memorization in haptics 375 Nevertheless, Gentaz & Hatwell (1995) found that the haptic oblique eåect was present in the sagittal plane, even when the same hand explored and set the response rod. Therefore, this pattern of results did not support Appelle & Countryman’s (1986) interpretation. Gentaz & Hatwell (1996) showed further that the gravitational cues provided by the antigravitational forces developed by the scanning arm-hand system were involved in the haptic oblique eåect, because these cues specify the gravity direction as one axis of reference. Gravitational cues are de®ned as indirect cues taken from the proprioceptive information contained in the pattern of tissue deformations (skin mechanoreceptors, joints and muscles). These deformations depend on the speci®c muscular forces necessary to maintain and move the arm-hand system during manual exploration. The magnitude of these gravitational cues varies according to the plane in which the task is performed. In the frontal and sagittal planes, antigravitational forces are not the same in the diåerent directions of exploration : the bottom±up direction requires high muscular antigravitational forces, whereas the reverse direction requires lower muscular eåort. By contrast, in the horizontal plane, the variability of antigravitational forces (and therefore of the gravitational cues they generate) is minimal : because the participant’s movements are performed in front of the participant in a direction perpendicular to gravity, they require constant antigravitational forces. Gentaz & Hatwell (1996) modi®ed gravity constraints by testing blindfolded adults, in the horizontal plane, either with the forearm resting on the disc surface supporting the rod (`supported forearm’ condition), which was similar to the condition tested by Appelle & Countryman (1986) and Gentaz & Hatwell (1995), or with the forearm unsupported in the air. In this latter case, greater antigravitational forces were elicited during scanning. In the horizontal plane, the so-called `vertical ’ orientation corresponds actually to the mid-sagittal orientation, and the so-called ` horizontal’ orientation corresponds to the fronto-parallel orientation. The results revealed that the oblique eåect was present in the unsupported forearm condition and was absent in the supported forearm condition. Another experiment tested the three planes, either in a ` natural’ (unsupported forearm) or in a `lightened forearm’ condition in which the gravitational cues were reduced by lightening the participant’s forearm (through a device consisting of a set of weights and pulleys). In all planes, the magnitude of the oblique eåect (i.e. the magnitude of the error diåerence between vertical±horizontal orientations and oblique orientations) was lower in the lightened condition than in the natural condition. In addition, Gentaz & Hatwell (1998) showed that, even in those blind since birth, the variability of gravitational cues was involved in the presence or absence of the haptic oblique eåect. This set of ®ndings revealed the existence, in some exploratory conditions, of a purely haptic oblique eåect. They showed in addition that this eåect was in¯uenced by the conditions of exploration because these conditions changed the gravity constraints of scanning. Consequently, the debate may be focused now on the nature of the mechanisms underlying the processing of orientations and generating or not the haptic oblique eåect. Actually, the presence or absence of this eåect seems to indicate that diåerent modes of coding are at work in each case (Gentaz, in press; Gentaz & Hatwell, 1996, 1998). It is proposed that the presence of the haptic oblique 376 Edouard Gentaz and Yvette Hatwell eåect reveals that orientation is de®ned by a spatial coding relative to the geocentric frame of reference (i.e. based on the direction of gravity) in which the vertical and horizontal orientations are used as reference norms. This latter mode of coding necessarily involves some spatial processing relating the haptic inputs extracted from the currently explored region of the stimulus to the two norms. Thus, in a given plane, any oblique orientation would be encoded in relation to the vertical and horizontal norms, whereas the vertical or horizontal orientations would be encoded directly. The indirect encoding of the oblique orientations, which implies the integration of the parameters computed on the two norms, may require higher costs of processing than the direct encoding of vertical and horizontal orientations which refers to one norm only. The diåerence between these two types of encoding would largely explain the occurrence of the haptic oblique eåect. By contrast, the absence of the haptic oblique eåect would reveal that orientation is de®ned by `movement coding’ (for review, see Millar, 1994). Each orientation would be coded in terms of a kinesthetic sequence of movements which can be remembered. This latter mode of coding does not necessarily involve that the haptic inputs extracted from the explored stimulus are encoded in relation to the vertical and horizontal norms. Thus, the possibility that the vertical, horizontal and oblique orientations are encoded in the same manner would explain the absence of the haptic oblique eåect. The purpose of the present study was to study the nature of these two assumed modes of orientation coding (geocentric reference frame vs. movement coding) by examining whether these modes depend on attentional resources. In the case of a positive answer, this would mean that orientation coding would rely on high levels of haptic processing. To study this question, the memorization conditions were modi®ed in the haptic processing of vertical, horizontal and oblique orientations. In previous studies, the delay between the exploration and reproduction phases was the same in all experimental conditions: 5 s and un®lled (Appelle & Countryman, 1986 ; Gentaz & Hatwell, 1995, 1996, 1998). If the modes of coding depended on attentional resources, the increase in memory constraints would aåect the haptic processing of orientations. In the connected ®eld of the kinesthetic processing of distance and localization, previous studies concerning the role of memory reported inconsistent observations. For example, Keele & Ellis (1972) observed similar variable errors with a 0 s un®lled delay and with a 7 s un®lled delay. By contrast, Jones & Connolly (1970) showed that absolute errors were higher after a 10 s un®lled delay than after a 0 s un®lled delay. Similarly, Stelmach & Wilson (1970) and Posner (1967) revealed that absolute errors were higher after a 20 s un®lled delay than after a 0 s un®lled delay. The ®ndings about the eåect of interpolated tasks during the delay are also inconsistent. Keele & Ellis (1972) showed that variable errors were higher after a 7 s ®lled delay than after a 7 s un®lled delay. Similarly, Stelmach & Wilson (1970) showed also that absolute errors were higher after a 20 s ®lled delay than after a 20 s un®lled delay. By contrast, Jones & Connolly (1970) and Posner (1967) observed no diåerence between a 20 s un®lled delay and a 20 s interpolated®lled delay. Further research should clarify these relations between memory constraints and the haptic processing of spatial properties. As concerns the haptic processing of orientations, there are no available studies in which the nature of delay was varied. Memorization in haptics 377 In the present study, changes in memorization conditions were proposed to blindfolded adults. Condition 1 (5 s un®lled delay condition) replicated the conditions proposed by Appelle & Countryman (1986) and Gentaz & Hatwell (1995, 1996) in which the delay was 5 s and un®lled. In Condition 2 (30 s un®lled delay condition), the delay was 30 s and un®lled. In Conditions 3 and 4, the 30 s delay was ®lled respectively with a verbal or haptic interpolated task (in which the participants were asked to perform an attentional demanding task). These two types of interpolated tasks were used because some previous studies had shown that they could aåect performances diåerently (e.g. Diewert, 1975). If the modes of orientation coding were not stable over time, the performance would be aåected by the increase in the un®lled delay length. Moreover, if the modes of coding required high attentional resources, orientation processing would be aåected by the introduction of the interpolated tasks during the delay. In order to know whether the modes of orientation coding were aåected diåerently by the increase in the memory constraints, the four memorization conditions were proposed after the two types of exploratory conditions in the horizontal plane. The horizontal plane was chosen here because, within this, the haptic oblique eåect is present when the gravitational cues are natural, and it is absent when these cues are reduced (Gentaz & Hatwell, 1996). Therefore, in Expt 1, the gravitational cues were minimal during manual exploration, and orientation was de®ned in this case by movement coding. In Expt 2, the gravitational cues were natural, and orientation was de®ned in this case by a spatial coding relative to the geocentric reference frame. EXPERIMENT 1 The aim of this experiment was to ascertain whether the mode of orientation coding based on a sequence movement depended on attentional resources. In this case, the haptic processing of orientations would be aåected by an increase in the memory constraints during the delay. In the present experiment, the gravitational cues were minimal during manual exploration, and it is likely that this situation generated a movement-based coding (Gentaz & Hatwell, 1996). If this mode of coding was not stable over time, performances should be lower in the 30 s un®lled delay condition than in the 5 s un®lled delay condition. If this mode of coding required high attentional resources, performances should be lower in the 30 s haptic and} or verbal®lled delay conditions than in the 30 s un®lled delay condition. By contrast, if this movement-based coding did not depend on attentional resources, performances should be similar in the four memorization conditions and, thus, the haptic oblique eåect should remain absent in all conditions. Method Participants In all, 32 right-handed undergraduate students in psychology and sociology (16 females, 16 males) participated in the experiment in exchange for extra course credit. Participants were aged between 19 and 22 years. Their handedness was assessed with the use of Bryden’s 5-item (1977) hand preference questionnaire (writing, throwing, drawing, scissors and toothbrush). In conformity with the Helsinki 378 Edouard Gentaz and Yvette Hatwell Convention which controls and regulates human experimentation, informed consent was obtained from all participants. Apparatus The apparatus was composed of a black metal disc (diameter 40 cm) equipped with a rod (25 3 1.8 cm). This rod was mounted on the centre of the disc and could be rotated 360 around its central axis. Magnets were ®xed inside the rod to maintain it in the desired orientation and to prevent involuntary deviation from its position during haptic scanning. A small amount of force was required to change intentionally its position. This rod was ®xed directly in contact with the disc (Fig. 1). The rod was connected with a potentiometer which indicated (in degrees) to what extent its orientation deviated from the orientation aligned with the participant’s mid-sagittal orientation. This orientation was arbitrary labelled as the `vertical ’ orientation in the horizontal plane in the present research. The discrod was centred on the participant’s body midline. The participants sat in the front midline of the apparatus, perpendicular to the surface of the disc, and were asked to maintain their trunk ®xed upright. The height of the disc was adjusted with reference to the participant’s height, so that the rod was positioned at a level under the participant’s breast. Ê Stimulus rod Disc Potentiometer Figure 1. Lateral view of the device, with the disc positioned in the horizontal plane and the rod ®xed directly in contact with the disc. In this situation, the participant’s forearm rested on the disc surface. Experimental conditions and procedure The participant was taken individually into a quiet room in which the apparatus was masked by a cloth, and was then blindfolded with glasses which passed no visual information. The task was to scan haptically with one hand (i.e. to move actively the arm-hand-digit system) on the oriented standard rod and then to reproduce the same orientation with the same hand. The participant was instructed to maintain his or her wrist and forearm resting in physical contact with the disc support during the whole trial. In a familiarization phase, the arm-hand system was ®rst guided by the experimenter and the Memorization in haptics 379 participant was trained to explore actively under these instructions. No time constraint was imposed in the presentation and response phases. The orientation of the rod between the presentation and response phases was modi®ed because the same rod orientation was used as a standard and a response alternately. The initial orientation of the rods in the response phase was 6 15 or 6 25 relative to the standard orientation tested during the trial and was determined at random by the experimenter. Each participant was tested under one of the four memorization conditions introduced between the exploration and reproduction phases. In the ®rst memorization condition (5 s un®lled delay), a 5 s un®lled delay was introduced to replicate Appelle & Countryman’s (1986) and Gentaz & Hatwell’s (1995) condition in which the oblique eåect was absent in previous studies. In the second condition (30 s un®lled delay), the delay was 30 s and un®lled. In the third condition (30 s verbal-®lled delay), the delay was 30 s and ®lled with a verbal interpolated task in which the participant was asked to recall the letters of the alphabet in reverse order. During these three memorization conditions, the participant was asked to move his or her hand oå the display and to maintain it in contact with his or her abdomen. In the last condition (30 s haptic-®lled delay), the delay was 30 s and was ®lled with a haptic interpolated task in which the participant was asked to move the index ®nger from one point to the other along a raised path presented on a wooden board in the horizontal plane. For each memorization condition, half the participants used the right hand, and the other half used the left hand. Four orientations were tested in the horizontal plane and labelled arbitrary as in the previous studies : 0 (vertical ; actually mid-sagittal orientation), 1 45 (left-slanting oblique in relation to participant’s view), 1 90 (horizontal; actually fronto-parallel orientation), and 1 135 (right-slanting oblique in relation to participant’s view). Three additional catch (distractor) trials in other orientations (randomly selected from 1 15 , 1 75 , 1 105 and 1 165 ) were interspersed with test trials to avoid inducing any awareness that the tested orientations were restricted to four. Since each participant performed four trials in each of the four orientations tested, there were 16 test trials per participant. In addition, as stated above, three catch trials were presented randomly. No feedback was given to the participant during the experiment. The duration of the whole session was about 40 min in the 30 s delay conditions. Ê Ê Ê Ê Ê Ê Ê Ê Ê Ê Results Data analyses were carried out on the angular diåerence (in degrees) between the positions of the standard and the response rod. The mean error (signed and absolute) was then calculated for each of the four orientations for each participant. In order to know whether the haptic oblique eåect was in¯uenced by the memorization conditions, the mean absolute errors were analysed. Because absolute errors have generally an asymmetrical distribution, a logarithmic transformation (log(x1 1)) was carried out on each angular diåerence to ful®l the normality condition required for the ANOVA (Abdi, 1987 ; Gentaz & Hatwell, 1996). The Lilliefors test (Lilliefors, 1967) for normality showed that the diåerence between the normal and the empirical distribution of scores in degrees (before transformation)was signi®cant (L(calculated) 5 .1048 " L(critical) 5 .091, p ! .01), whereas the diåerence between the normal and the empirical scores in log after transformation was not (L(calculated) 5 .0575 ! L(critical)). Table 1 indicates the mean absolute errors before transformation (in degrees} deg) and after their log transformation (log). In the following analysis of results, the mean values are presented both in degrees and in log (mean in deg; mean in log). A preliminary ANOVA on absolute errors in log showed that gender and hand had no eåect and did not interact with any other factor. Consequently, results were collapsed across gender and hand. A 4 (memorization condition) 3 4 (orientation) ANOVA (with repeated measures on the last factor) on absolute errors in log revealed a main eåect of orientation (F(3,84) 5 3.5, p ! .05). As it is classically done in literature, the measurement of the Edouard Gentaz and Yvette Hatwell 380 Table 1. Mean absolute errors (M ) in degrees (deg) and in log (log) and standard deviations of means (SD) as a function of memorization condition and stimulus orientation in Expt 1 Orientation 1 Vertical Memorization condition 5 s un®lled delay deg log 30 s un®lled delay deg log 30 s verbal-®lled delay deg log 30 s haptic-®lled delay deg log 45 Ê Horizontal 1 135 Ê M (SD) M (SD) M (SD) M (SD) 4.9 .72 (3.2) (.21) 4.1 .69 (1.4) (.12) 4.6 .72 (2.3) (.16) 4.7 .73 (1.9) (.16) 6.3 .80 (4.1) (.25) 7.0 .82 (5.5) (.28) 6.2 .78 (5.9) (.25) 6.3 .85 (1.9) (.14) 6.1 .76 (5.4) (.29) 9.7 .99 (4.6) (.19) 5.7 .78 (3.4) (.23) 9.9 .99 (5.4) (.22) 7.3 .83 (5.0) (.30) 9.0 .99 (1.5) (.06) 6.6 .81 (4.2) (.29) 9.1 1.0 (1.7) (.07) oblique eåect was carried out by a pre-planned contrast between the vertical and horizontal orientations on the one hand, and the 45 ±135 oblique orientations on the other hand. The measure of the oblique eåect was legitimate because partial analyses showed no diåerence between the vertical (M in deg 5 6.1 ; M in log 5 .78) and horizontal (M in deg 5 5.8 ; M in log 5 .77) orientations (F(1,28) 5 .3, p " .25), nor between the 45 (M in deg 5 7.5 ; M in log 5 .88) and 135 (M in deg 5 7.5 ; M in log 5 .88) oblique orientations (F(1,28) 5 .2, p " .25). The magnitude of the oblique eåect (i.e. the diåerence between the magnitude of errors when setting vertical±horizontal and 45 ±135 obliques) was signi®cant (F(1,28) 5 9.5, p ! .01) with more errors in the 45 ±135 oblique orientations (M in deg 5 7.5 ; M in log 5 .88) than in the vertical±horizontal (M in deg 5 6.0 ; M in log 5 .78) orientations. The main eåect of memorization condition was signi®cant (F(3,28) 5 3, p ! .05). There was no diåerence between the 30 s verbal-®lled delay (M in deg 5 7.9 ; M in log 5 .88) and the 30 s haptic ®lled delay (M in deg 5 8.0 ; M in log 5 .91) conditions (F(1,28) 5 .2, p " .25), not between the 5 s un®lled delay (M in deg 5 4.6 ; M in log 5 .72) and 30 s un®lled delay (M in deg 5 6.5 ; M in log 5 .81) conditions (F(1,28) 5 1.9, p 5 .18). Errors were higher in the two ®lled delay conditions than in the two un®lled delay conditions (F(1,28) 5 6.9, p ! .05). The orientation 3 memorization condition interaction was not signi®cant (F(9,84) 5 .85, p " .25). However, when the pre-planned decomposition of this interaction was carried out (Fig. 2), the oblique eåect was absent in the 5 s un®lled delay (obliques: M in deg 5 4.4, M in log 5 .71 ; vertical±horizontal : M in deg 5 4.7, M Ê Ê Ê Ê Ê Ê Ê Ê Memorization in haptics 381 in log 5 .72 ; F(1,28) 5 .01, p " .25) and in the 30 s un®lled delay (obliques: M in deg 5 6.7, M in log 5 .82 ; vertical±horizontal: M in deg 5 6.3, M in log 5 .79 ; F(1,28) 5 .38, p " .25) conditions. By contrast, the oblique eåect was present in the 30 s verbal-®lled delay (obliques : M in deg 5 9.8, M in log 5 .99 ; vertical± horizontal: M in deg 5 5.9, M in log 5 .77 ; F(1,28) 5 9.9, p ! .05) and in the 30 s haptic-®lled delay (obliques : M in deg 5 9.0, M in log 5 .99 ; vertical±horizontal: M in deg 5 6.9, M in log 5 .82 ; F(1,28) 5 6.2, p ! .05). The errors in the oblique settings were higher in the two 30 s ®lled conditions than in the two un®lled conditions (F(1,28) 5 13, p ! .05), whereas performance in the vertical and horizontal settings was similar in the four memorization conditions (F(3,28) 5 .28, p " .25). This means that the presence of the oblique eåect was explained by increased errors in the oblique settings only. 1.2 Mean angular absolute errors in log 1.1 1.0 0.9 0.8 0.7 0.6 5 s unfilled delay 0.5 30 s unfilled delay 0.4 30 s verbal-filled delay 0.3 0.2 30 s haptic-filled delay 0.1 0 0° 45° 90° 135° Stimulus orientation Figure 2. Mean absolute angular errors in log as a function of memorization condition and stimulus orientation in Expt 1. The analyses of mean signed errors are not shown in the present study because they did not reveal signi®cant directional biases. These results are consistent with previous studies (Appelle & Countryman, 1986 ; Gentaz & Hatwell, 1995, 1996, 1998 ; Gentaz, Luyat, Cian, Hatwell, Barraud & Raphel, 1999). Discussion The results showed that orientation processing was in¯uenced by the nature of memorization conditions. The increase in the un®lled delay length did not modify the haptic processing of orientations: performances were similar in the 5 s un®lled delay 382 Edouard Gentaz and Yvette Hatwell and 30 s un®lled delay conditions. The haptic oblique eåect was absent in these two un®lled delay conditions. The absence of this eåect in the 5 s un®lled delay condition replicated Appelle & Countryman’s (1986) and Gentaz & Hatwell’s (1995, 1996) ®ndings, whereas the present study showed in addition that lengthening this un®lled delay had no eåect. By contrast, the introduction of verbal or haptic interpolated tasks during the 30 s delay aåected in the same manner the processing of orientations. Indeed, errors were higher in the two ®lled delay conditions (which did not diåer) than in the two un®lled delay conditions. This decreasing stemmed from the increased errors of oblique settings, whereas the errors in vertical±horizontal settings remained stable in all delay conditions. Consequently, the haptic oblique eåect was present in the two ®lled delay conditions, although in this experiment the gravitational cues were minimal during manual exploration in the horizontal plane. These results suggest that the mode of orientation coding based on movement, which is stable over time in un®lled delay conditions, requires attentional resources. Expt 2 was further designed to extend this study to an exploratory condition in which the gravitational cues were natural. EXPERIMENT 2 The aim of this experiment was to examine whether the mode of orientation coding based on the geocentric frame of reference depended on attentional resources. If this was the case, the haptic processing of orientations would be altered by the increase in the memory constraints during the delay. In the present experiment, the gravitational cues were natural during manual exploration and were therefore enhanced as compared to Expt 1. The four memorization conditions were the same as in Expt 1. If the mode of coding based on the geocentric reference frame was not stable over time, performances should be lower in the 30 s un®lled delay condition than in the 5 s un®lled delay condition. If this mode of coding required high attentional resources, performances should be lower in the two 30 s ®lled delay conditions than in the 30 s un®lled delay condition. By contrast, if this mode of coding did not depend on attentional resources, performances should be similar in the four memorization conditions and, thus, the same haptic oblique eåect should be present in all conditions. Method Participants In all, 32 right-handed undergraduate students in psychology and sociology (16 females, 16 males) took part in the experiment in exchange for extra course credit. They were aged between 18 and 22 years. Participants’ handedness was assessed with the use of Bryden’s ®ve-item (1977) hand preference questionnaire. Informed consent was obtained from all participants. Apparatus and procedure The apparatus was the same as in Expt 1, except for the position of the rod-stimulus. In this experiment, the rod was parallel to the disc surface at 8 cm from it (Fig. 3). Therefore, antigravitational forces should Memorization in haptics 383 be elicited in order to explore the rod. Thus, the magnitude of gravitational cues was higher in the present study than in Expt 1. The force required to change the position of the rod, the experimental conditions and the procedure were the same as in Expt 1. Stimulus rod Disc Potentiometer Figure 3. Lateral view of the device, with the disc positioned in the horizontal plane and the rod ®xed 8 cm from the disc. In this situation, the participant’s forearm did not rest on the disc surface. Results The mean absolute errors (in degrees and in log) for each condition are shown in Table 2. As in Expt 1, a logarithmic transformation (log(x1 1)) was carried out on each angular diåerence for each participant in each condition. A preliminary ANOVA on the absolute errors in log showed that gender and hand had no eåect and did not interact with any other factor. Consequently, results were collapsed across gender and hand. A 4 (memorization conditions) 3 4 (orientation) ANOVA (with repeated measures on the last factor) on absolute errors in log revealed a main eåect of orientation (F3,84) 5 18.7, p ! .01). Partial analyses showed no diåerence between the vertical (M in deg 5 4.5 ; M in log 5 .70) and horizontal (M in deg 5 4.6 ; M in log 5 .71) orientations (F(1,28) 5 .11, p " .25), nor between the 45 (M in deg 5 7.6 ; M in log 5 .90) and 135 (M in deg 5 7.6 ; M in log 5 .90) oblique orientations (F(1,28) 5 .12, p " .25). The oblique eåect was signi®cant (F(1,28) 5 59, p ! .01) : errors were higher in the 45 ±135 oblique orientations (M in deg 5 7.6 ; M in log 5 .90) than in the vertical±horizontal orientations (M in deg 5 4.5 ; M in log 5 .70). The main eåect of memorization conditions was not signi®cant (F(3,28) 5 1.9, p 5 .16). The orientation 3 memorization condition interaction was not signi®cant (F(9,84) 5 .67, Ê Ê Ê Ê Edouard Gentaz and Yvette Hatwell 384 Table 2. Mean absolute errors (M ) in degrees (deg) and in log (log) and standard deviations of means (SD) as a function of memorization condition and stimulus orientation in Expt 2. Orientation 1 Vertical Memorization condition 5 s un®lled delay deg log 30 s un®lled delay deg log 30 s verbal-®lled delay deg log 30 s haptic-®lled delay deg log 45 Ê Horizontal 1 135 Ê M (SD) M (SD) M (SD) M (SD) 3.1 .58 (1.5) (.21) 7.7 .93 (2.1) (.10) 4.1 .67 (2.2) (.19) 6.6 .84 (3.2) (.21) 3.9 .68 (1.5) (.12) 6.6 .86 (2.9) (.17) 4.3 .70 (1.6) (.15) 6.3 .82 (2.8) (.23) 5.7 .76 (4.4) (.27) 7.9 .92 (3.3) (.18) 5.0 .74 (2.9) (.21) 9.1 .99 (3.2) (.11) 5.1 .78 (1.0) (.08) 8.3 .96 (2.3) (.11) 4.9 .73 (2.6) (.21) 8.3 .95 (2.3) (.12) 1.2 Mean angular absolute errors in log 1.1 1.0 0.9 0.8 0.7 5 s unfilled delay 0.6 0.5 30 s unfilled delay 0.4 30 s verbal-filled delay 0.3 0.2 30 s haptic-filled delay 0.1 0 0° 45° 90° 135° Stimulus orientation Figure 4. Mean absolute angular errors in log as a function of memorization condition and stimulus orientation in Expt 2. p " .25 ; Fig. 4). This means that the oblique eåect was signi®cant in the four memorization conditions and that the memorization conditions did not in¯uence the performance in the four orientation settings. Memorization in haptics 385 As in Expt 1, the analyses of mean signed errors are not shown in the present study because they did not reveal signi®cant directional bias. Discussion The results revealed that the haptic processing of orientations was not in¯uenced by the diåerent memorization conditions. The hepatic oblique eåect was present in the four memorization conditions. The presence of the haptic oblique eåects in the 5 s un®lled delay condition replicated Gentaz & Hatwell’s (1966) ®ndings in which the oblique eåect was present when gravitational cues were available in the horizontal plane. The present research revealed in addition that this oblique eåect was equally present in the other three memorization conditions. These results showed that the increase in memory constraints during the delay did not aåect signi®cantly the global accuracy of responses and did not in¯uence the haptic oblique eåect. They suggest therefore that the mode of coding based on the geocentric reference frame, which is stable over time, is independent from attentional resources. GENERAL DISCUSSION This research studied the role of memorization conditions in the haptic processing of orientations and the oblique eåect. If orientation coding depended on attentional resources, the increase in memory constraints would aåect performances. This question was investigated by asking blindfolded adults to explore, in the horizontal plane, vertical (mid-sagittal), horizontal (fronto-parallel), and 45 and 135 oblique rod orientations with minimal (Expt 1) or natural (Expt 2) gravitational cues and to reproduce its orientation with the same hand after diåerent memorization conditions, with 5 s or 30 s un®lled delays, and with a 30 s delay ®lled with verbal or haptic interpolated tasks. First to be examined is the eåect of the un®lled delay length on orientation processing in the two conditions of manual exploration varying the availability of gravitational cues, and therefore varying the mode of orientation coding: with minimal (Expt 1) or natural (Expt 2) gravitational cues. The ®ndings revealed that the increase in the un®lled delay length (from 5 s to 30 s) did not in¯uence the performance in the two conditions of manual exploration. On the one hand, these results are consistent with some of the experimenters’ previous ®ndings (Gentaz & Hatwell, 1996 ; Gentaz et al., 1999). In these studies, manual exploration was performed in the frontal plane and with natural gravitational cues, and the un®lled delays were 5 s (Gentaz & Hatwell, 1996) and 10 s (Gentaz et al., 1999). Results showed that the performance was similar in these two un®lled delay conditions. On the other hand, it is di¬cult to know whether the results of the present research are consistent with Lechelt et al.’s (1976, 1980) ®ndings reported in the introductory test above because these authors did not compare the successive reproduction after a 0 s un®lled delay and the successive reproduction after 10 s un®lled delay. Taken together, the present ®ndings revealed that the processing of orientations in the diåerent conditions of manual exploration was stable over time whatever the length of the un®lled delay. Ê Ê 386 Edouard Gentaz and Yvette Hatwell In the present research, whatever the length of these un®lled delays (5 s or 30 s), the haptic oblique eåect was absent when gravitational cues were minimal (Expt 1) and was present when gravitational cues were natural (Expt 2). These ®ndings are consistent with the assumption that the modes of orientation coding diåer according to the kind of cues available (Gentaz & Hatwell, 1996, 1998) : ` movement coding’ occurred mainly when the spatial coding in the geocentric frame of reference was unreliable (i.e. when gravitational cues were not available). These results are consistent with Millar’s ` reference hypothesis’ (1994, 1997), which proposed that the haptic perception of shape depends on the amount and type of spatial reference information that is initially available to the participant from all sources. In this perspective, the gravitational cues may play the role of spatial reference information. The eåect of the introduction of interpolated tasks during the 30 s delay is now discussed. The ®ndings showed that the verbal or haptic interpolated tasks (which did not diåer) aåected diåerently the performance according to the conditions of manual exploration. When the gravitational cues were minimal during manual exploration in the horizontal plane (Expt 1), the performance was lower in the 30 s haptic or verbal-®lled delay conditions than in the 5 s or 30 s un®lled delay conditions. This decrease of performance in the two ®lled delays stemmed from the increased errors in oblique settings, whereas the errors in vertical±horizontal settings remained stable in the diåerent delay conditions. Consequently, the haptic oblique eåect, which was absent in the un®lled delay conditions, was present in the two ®lled delay conditions. The fact that the two interpolated tasks altered only the performance in the oblique settings revealed that rehearsal processes were implied in the processing of these orientations. This suggests that the mode of coding based on movement requires high attentional resources to process e¬ciently the oblique orientations in short-term memory. These results support the assumption that this mode of coding would be linked to high level of haptic processing. By contrast, when the gravitational cues were natural during manual exploration in the horizontal plane (Expt 2), the performance did not diåer in the two ®lled delay conditions and the two un®lled delay conditions. Consequently, the haptic oblique eåect remained present in the diåerent memorization conditions. The fact that the two interpolated tasks did not in¯uence the performance suggested that rehearsal processes were minimally involved in the processing of orientations. This would mean that the mode of coding based on geocentric frame of reference does not require high attentional resources to process orientations in short-term memory. Taken together, these ®ndings suggest that the mode of orientation coding based on the geocentric frame of reference is stable over time but it is less e¬cient because it is anisotropic: in it, the oblique eåect was present whatever the memorization conditions. However, this mode of coding is economic because it does not depend on attentional resources. By contrast, the mode of orientation coding based on movement is also stable over time and it is e¬cient because it is not anisotropic: indeed, in it, the haptic oblique eåect is absent whether there is no interference. However, this mode of coding involves a high attentional cost. Further research should study whether these ®ndings are also present in the other spatial planes. In summary, the present study has shown that in blindfolded adults the memorization conditions are involved in the haptic processing of orientations in as Memorization in haptics 387 much as they determine, at least partially, the mode of orientation processing. Thus, when the delay was un®lled, whatever its length, the haptic processing of orientations depended on the conditions of manual exploration in the horizontal plane : the oblique eåect was absent when the gravitational cues were minimal (suggesting movement coding) and was present when these cues were natural (suggesting geocentric coding). When the delay was ®lled with attentional interpolated tasks, the haptic oblique eåect was present whatever the conditions of manual exploration. Acknowledgements This work was supported by grants from University Pierre Mende’ s France of Grenoble and from the Fyssen Foundation. References Abdi, H. (1987). 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