Modality Based Working Memory: James Sulzen School of Education Stanford University April 1, 2001 Abstract This study tested a hypothesis that working memory is primarily modally organized. A free recall task was performed by presenting randomized stimuli sequences in seven presentation modalities (visual (V), auditory (A), haptic (H), kinesthetic (K), linguistic-auditory (LA), linguistic-visual (LV), and spatial-auditory (SA)). The same number of stimuli was presented in each modality on any given trial run. Results showed recall was linearly dependent upon the number of items in each modality up to a limit of about three items presented for a modality and then leveled out thereafter. Recency and primacy effects indicated that at least several of the modality recall sequences operated with differing underlying processes indicating further support for the independent modalities memory hypothesis. Modality Based Working Memory Table of Contents INTRODUCTION .............................................................................................................................................3 MODALITY-ORGANIZED COGNITION ....................................................................................................................4 PREDICTIONS ..................................................................................................................................................6 METHOD.........................................................................................................................................................7 RESULTS.........................................................................................................................................................8 DISCUSSION .................................................................................................................................................13 CONCLUSION ...............................................................................................................................................15 REFERENCES ...............................................................................................................................................16 APENDICES ..................................................................................................................................................17 APPENDIX A – LIST OF ALL STIMULI ..........................................................................................................17 STIMULUS CODES ..........................................................................................................................................19 APPENDIX B –ORGANIZATION OF TRIAL RUNS .........................................................................................22 APPENDIX C – PROCEDURES .......................................................................................................................25 APPENDIX D – ORGANIZATION AND ADMINISTRATION OF THE STIMULI ...............................................27 APPENDIX E – TABULATED RECALL DATA ................................................................................................29 APPENDIX F – RAW RECALL DATA .............................................................................................................32 APPENDIX G – NORMALIZATION FORMULA FOR CALCULATING SERIAL RECALL PROBABILITIES .....40 APPENDIX H – TABULATED RECENCY AND PRIMACY DATA ....................................................................41 APPENDIX I – RAW RECENCY AND PRIMACY DATA ..................................................................................42 APPENDIX J – CLUSTERING OF SUBJECT RESPONSES ...............................................................................47 -2- Modality Based Working Memory Introduction "The study of models of memory often seems like a backwater in the overall study of memory. Models do not have a prominent place in experimental studies of memory and they are not used or examined by most researchers in the field... Recent development of models of long-term memory has proceeded relatively independently of other areas of memory research." (Ratcliff & McKoon, 2000, p. 571) Studies of human short term and working memory have a very rich and long history (Ebbinghaus, 1885; James, 1890; Miller, 1956; and for surveys: Crowder, 1993; Bower, 2000; Baddeley, 2000 ). A number of models of human memory and working memory have been proposed and tested over time, especially those involving verbal or visual elements. There have also been a number of studies demonstrating various modal forms of short term memory (STM) such as for haptic and olfactory capacities (Schurman, 1973; White, 1997). Baddeley and Hitch’s (1974) classic modal model of working memory combining a spatio-visual, phonological, and executive control system was an initial attempt to articulate perceived modal-related sub-components of working memory. Since then, it seems reasonable to suppose that working memory is in fact fractionated among a number of modular systems as evidence accumulates for the existence of more and more different components (Weiskrantz, 1987; Baddeley, 2000). Recently, fMRI evidence has started to accumulate for a neurological basis for the phonological loop (Paulesu, Frith, & Frackowiak, 1993; Awh et al., 1996) and even for a modal basis of representing categories of objects such as living things (Schill-Thompson et al., 1999). In addition to the mounting evidence that both working memory and perhaps long term memory (LTM) are organized along modal lines, there is strong evidence to indicate that the modal systems highly interact with each other. In the Schill-Thompson study (1999), it appears that visual centers are always activated whenever a subject is asked to think about any aspect of a living thing (even such as parts of or the food of living things – i.e., “are snails edible”). This is taken to indicate that the category of living things seems to have a primary visual element which seems principally responsible for triggering other modalities, and brain damage to a modal visual area might therefore well impair retrieval of the associated memories in the other modalities. Cross-modal priming is a fairly clear example of interaction. McKone (McKone & Dennis, 2000) found that auditory or visual stimuli acted to prime stimuli in the other modality. Perhaps of more interest in terms of the current writing, they found that same modality priming has a greater effect than cross modality priming, and that visual versus auditory priming of nonwords is different (auditory performs better). McKone interprets these results as indicating a perceptual basis locus for priming with some form of weak re-encoding occurring to effect the cross-modal priming. There is also evidence for non-sensory based, but modal storage. Penney (Penney, 1989) reviewed the literature on auditory and visual modality effects and concluded that auditory and visually presented words were re-encoded in a phonological store accessible from either, and that the auditory and visual channels represent two separate processing streams. Her argument is based upon five points: 1) Improved ability to perform two concurrent verbal tasks when different input modalities are employed relative to the single-mode situation; 2) Improved memory when different items are presented to two sensory modalities rather than one; 3) Selective interference effects within, but less so across, modalities; 4) Subjects' preference for, and greater efficiency of, recall organized by modality than by time of presentation; and 5) The presence of short-term memory deficits that appear to be specific to the auditory or visual modalities. Additionally, Penney showed that bilingual speakers prefer to organize recall tasks by modality of presentation, as opposed to organizing recall by language of presentation, time of presentation, or category of item. Another bilingual study (Dehaene et al., 1999) showed that precise arithmetic calculations are carried out in one’s native language (i.e., the language in which arithmetic was presumably learned), whereas approximate arithmetic -3- Modality Based Working Memory calculations are carried out via visual and spatial means. This finding in conjunction with the concept of the independent phonological store, leads to an implication of language, or perhaps rather a linguistic capability, existing independently of any of the standard modalities. On an informal, but perhaps intuitively satisfying basis, as far back as 1890 William James (James, 1890) provides an elegant example of cross-modal encoding of knowledge. Holding open the lips prior to thinking of any word with labials or dentals such as "bubble" or "toddle" distinctly affects most people's recall process. (“Is your image under these conditions distinct? To most people the image is at first ‘thick’ as the sound would be if they tried to pronounce it with lips parted.” p. 63). This would seem to be an example of interfering with a cross-modal retrieval across at least the haptic (touch), kinesthetic (sensomotor), visual, and verbal systems. Given the evidence for both some sort of modularized sub-specialization of working memory, some of which certainly seems to organize along modal lines, it seems reasonable to suppose that each modal sensory system may have its own working memory component. Goldstone and Barsalou (1998) have argued that there are many reasons to believe that much of cognition is perceptually based and proceeds via perceptual representation processes. They argue along the following lines: 1) That many if not in fact all of the properties associated with amodal symbol systems can be achieved with perceptually-based systems (such as productivity); 2) Raw perceptual processing is often much more powerful for certain tasks than an equivalent amodal system; 3) Perception naturally supports similarity; 4) Perception can be readily tuned to conceptual demands; 5) Perceptual simulation occurs in conceptual tasks and which have no explicit perceptual demands (for example, Maxwell’s imagining microscopic spinning spheres in dielectrics when developing his Electrodynamics equations (Nersessian, unpublished), or Einstein utilizing his visualizations of space-time when developing relativity). Countering these claims and conjectures, have been theories of episodic, semantic, and other memory organization (Baddeley, 2000). There is also strong evidence that people can organize working memory around categories – that is to say that structuring items by category in effect seems to create something of a “separate” short term memory for each category leading to a two to three fold improvement in working memory capacity (Watkins & Peynircioglu, 1983; Bower, et al., 1969). These category effects even show recency and primacy effects. We will address these issues of categorization and non-modal organization in the discussion section. Modality-Organized Cognition The evidence for multiple, modality-related working memory components leads to a supposition that perhaps each modality has its own working memory and some level of cognitive processing capability. If each modality has its own working memory and processing capability, then why not its own long term memory and its own deeper cognitive processing capability? Following these conjectures to some sort of logical conclusion leads to a possible memory and cognitive functional organization as illustrated by Figure 1. Figure 1 illustrates that a certain number of modal units interact with each other to create the experience of cognition. Some of these are “first-level” modal processing loci, each directly connected to its own sensory system via the sensory registers. There are also a number of “second-level modal loci” each with its own specialization. In this model, every modality loci (hereafter referred to as modalities) is connected to and capable of stimulating or receiving stimuli from any other modality. This interaction probably operates through or in conjunction with the type of centralized switching network referred to as a “central executive” (Baddeley & Hitch, 1974). The second-level stimuli have no direct connection to external sensory registers and so must receive their sensory inputs only by first-level restimulation. -4- Modality Based Working Memory The set of modalities represented here were selected because experimental evidence indicated a functional nexus for each and because they seem to represent a minimal set that spans many cognitive phenomena. There may also be “tertiary” or other modalities serving to organize social cognition, personality or other functions, but the above model does not address such possibilities. The model provides an organizing framework for representing relatively low-levels of cognition involving perception and knowledge representation. Figure 1 – Modality-organized cognition Sensory Registers G H K O First Level Modalities A V L S Second Level Modalities E A - Auditory G - Gustatory H - Haptic K - Kinesthetic O - Olfactory V - Visual E - Emotional/affective L - Linguistic S - Spatial The rest of this writing will use the single-letter abbreviations listed in Figure 1 to identify each of the modal systems. When it is necessary or useful to distinguish which first level modality is interacting with a given second level one, the two letters are combined, so “LV” means a visually presented linguistic item, while “SA” means an auditory spatial stimulus. Figure 1 should be interpreted in light of the following: - Representational Systems: Each modality should be thought of as a “representational system” which represents processes, knowledge, perceptions, and sensory experience in its own particular way. V represents knowledge in pictures and images, A in sounds, and so on. K is the kinesthetic sensomotor system. L is a pure linguistic system that represents knowledge and does its processing in terms of sequenced and syntactically ordered symbols. S is a system that represents spatial knowledge and performs spatial processing. E controls our affective memories and processing. The other modalities should be self-explanatory. - Completeness of each modality: In this model, each modality is a complete cognitive processing system with its own working memory, long term memory, and processing capabilities. The type and manner of internal organization is probably very specific to the given modality (i.e. S is probably very differently organized than E or than V, for example). This helps explain some of the modality differences observed in the literature such as the slight superiority of recalling auditory-presented words as opposed to visually presented ones during free recall tasks. - Cross-stimulation and multi-modal representations: Each modal system is constantly stimulating each other system with its outputs, including stimulating itself with its own outputs (i.e. feedback). This cross stimulation probably provides a capacity for feedback loops and re-encoding of stimuli, as well as higher level organizations of cognition. The question arises as to how these separate systems combine or interact, and why is it not more obvious that such separate systems exist? Following evidence from Schill-Thompson (1999), it seems probable that it may often require several cross-stimulating modal systems to meaningfully represent concepts and various sorts of -5- Modality Based Working Memory knowledge. Consider the category of 'living things', which, according to their data, appears to have a necessary visual component,but which also has elements in other modalities to define its representation. If the visual portion of the ‘living things’ representation were impaired via a lesion for example, then the other elements that make up the 'living things' representation would still be intact, but not be capable of being stimulated. Therefore the person loses knowledge of what a 'living thing' is, even though most of the knowledge is still available (and indeed may be accessible via other cue paths.) The concept of ‘living things’ cannot be kicked into gear because the necessary visual element is missing from the stimulus chain. In a similar vein, James’ (1890) example with ‘bubble’ and ‘toddle’ could therefore be understood as indicating that the meaning or knowledge of these words is encoded across the L, H, K, and V modalities; and that interfering with one modality (K, when the lips are parted,) interferes with the retrieval process and the associated V image gets changed. As for it not being more obvious that these hypothesized internal systems have a distinct existence, the explanation might be that the extent of interactivity makes the whole seem like a monolithic entity making it tremendously difficult to discern the individual elements. Consider, as an analogy, aborigines trying to discern the internal structure of an automobile by being able to examine only its external appearance and perhaps drive it only in very limited and controlled circumstances. With neither the concepts nor useful tools for investigating internal combustion engines, they would have little chance of deducing internal electrical, carburetion, fuel, cooling, exhaust and other internal systems (although they might be able to deduce the existence of some systems such as steering and brakes that have relatively easily observed external correlates.) Similarly, with the human cognitive system there is a tendency to regard memory as one large undifferentiated system with perhaps some salient subsystems such as vision, auditory, or spatial processing. Predictions Given the above hypothesis regarding the modal basis for cognition, the following predictions seem likely: 1) Single-modal presentations: A set of simple stimuli limited to a single modality is more likely to be primarily encoded in that modality rather than being re-encoded and cross-stored. However, it is necessary to remember that there are probably significant exceptions to this, for example the fact that people seem to be particularly capable of recoding linguistic items among the V, L, and A modalities. 2) Total working memory capacity: Assuming that each modality has an amount of independent working memory, and that each one functions similarly to how we currently consider working memory to function, then the total working memory capacity of a person should approximate the sum of the capacities of the individual modal working memories. This prediction ignores duplicate encoding affects and the apparent need to cross-modally encode some types of items, (i.e. the' living things' category,) which would require using capacity from several modalities, and thereby reduce the seeming total capacity of the system 3) Testing working memory capacity: If the above predictions hold it should be possible to present a tuned set of stimuli to fill each particular modal working memory. This should lead to an apparent increased memory capacity compared to presenting a more randomly chosen set of stimuli. In fact, there should be a linear increase in items recalled as the number of items presented in each modality is increased. At some point there should be a leveling off of the number of items recalled despite a continuing increase in the number of items presented. 4) Seven plus or minus two: Much of the free recall literature has focused on presenting either images or words as the basic stimuli, (with the words having either auditory or visual presentation). In terms of the cognitive model presented here, this consists of stimuli in the V, LA, and LV modalities. As mentioned above, it seems likely that people have a facile ability to cross-encode between the L, V, and A modalities. If this is so, in terms of free recall literature, the V, LA, and LV modalities might be thought of as one common store that should show the familiar “seven plus or minus two” total capacity limitation characteristic of unordered free recall tasks. 5) Primacy / recency effects: If each modality has its own working memory, then it seems likely each should show some of the normal primacy and recency effects, (remembering initial and most recent stimuli the best). -6- Modality Based Working Memory These predictions are the basis for the experiment described in this study. Method Subjects Subjects were 9 volunteers, all acquainted with the author, ranging in age from mid-twenties to early-sixties, (mean age of 40 years); five female and four male. All subjects had either graduate degrees or were engaged in postgraduate study at major institutions. Design Subjects performed a free recall task in which the basic manipulation varied the number of items presented in each of seven modalities, (A, V, LA, LV, H, K, and SA). These particular seven modalities were chosen because it was relatively easy to create a suitable stimulus sequence for each one to test the conjectures. Trial run organization. Presentation sequences of stimuli (“trial runs”) were set up so each trial run had the same number of stimuli from each of the seven modalities. For example, a given trial run had two stimuli in each modality, another had three in each modality, and so on. The number of items in each modality will be referred to as the IM count (items per modality). Within a given trial run, stimuli were randomly mixed in presentation order. (For example, for a block with two stimuli from each of the seven modalities, the order of presentation might be: A, LV, H, K, A, SA, K, LA, H, V, SA, LV, V, LA. At the completion of each presentation sequence, subjects were asked to recall as many items as they could. Each stimulus was presented only once to any subject. Stimuli were carefully screened to avoid inadvertent redundancies (i.e., saying the word “pig” and showing a picture of a pig). Fill sequence. As the working memory of V, A, and L modalities are experimentally well established (Penney, 1989), it is important to establish the independent existence of other modal systems. Therefore a fill sequence of at least eight items was included at the end of the trial run for each run of stimuli consisting of items in the V, LA, and LV modalities to minimize the likelihood that Ss used these three modalities for cross-storage from the H, A, K, and SA modalities. Materials Table 1 gives the total number of stimuli presented in each trial run, the number of modality-specific stimuli in each run, and the length and make-up of each fill sequence. A set of cards was prepared for the experimenter to use in administering stimuli. Each card listed one stimulus and identified both the modality and the stimulus to be presented to a subject. In the case of the SA modality, a card indicated a direction relative to the subject, and the experimenter clicked a staple remover twice at the appropriate location to generate a directional sound. See Appendix A for a complete list of stimuli and Appendix D for how stimuli were organized and administered in the experiment. -7- Modality Based Working Memory Table 1 – Length and make-up of each trial run Series Trial Run Total number of stimuli Number of items in each of the various modalities IM Count Fill Sequence (V / LA / LV) Number of Subjects T0 16 - 16 (3/6/7) 4 T1 16 - 16 (4/5/7) 3 Series T2 22 2 8 (2/3/3) 3 A T3 29 3 8 (2/3/3) 3 T6 29 3 8 (2/3/3) 3 T7 30 2 16 (4/6/6) 3 T8 29 3 8 (2/3/3) 6 T9 36 4 8 (2/3/3) 6 T10 44 5 8 (2/3/3) 5 Series B The stimuli assigned to each trial run are listed in Appendix B. In assembling the trial runs, procedures were followed to minimize the chance that any stimulus or stimulus sequence within a trial run had an undue recall bias (see Appendix C for the details of how trial runs were assembled). Note that, in Table 1, the length of each trial run is given by IM*7 + (length of fill sequence). Procedure Subjects were each presented with several trial runs. Each trial run consisted of a sequence of stimuli, which, without interruption, was immediately followed by each subject’s attempt to recall as many items out of the presentation as possible in whatever manner they chose. The experimenter recorded the recalled items in the order recalled. A cassette recorder was used as a back-up to check that each subject’s recalled list was accurately recorded. Subjects were run in two separate series (identified as series A and series B), where each series had a separate set of trial runs and its own separate group of subjects. Subjects within each series received exactly the same treatment (i.e. same sequence of trial runs organized in exactly the same way from subject to subject). The number of subjects was too small to try balancing the order of trial runs. It simplified performing the experiment and analysis to give all subjects in a series the same treatment. Two series were used because subjects were all unpaid volunteers and the initial pilot testing indicated that it was too time taxing to run subjects through more than three or four trial runs, (especially with the longer sequences). This necessitated using two distinct groups of subjects with two separate sets of trial runs to span the necessary range of IM values. Some unfortunate differences cropped up in performance between the two series, which will be addressed in the discussion section. No trial runs were conducted at IM=1 because of limited subject availability. It seemed superfluous to use a trial run at such a simple level because subjects would likely have a high success rate at such a simple level, and the IM=1 values would just show strong linearity in the data. In the interests of expediency, this linearity is assumed herein. Results Coding of Answers During recall, subjects typically identified stimuli via a single word or a simple description (i.e. “pig”, “rain”, “touched me on the shoulder, back of head, and arm”, etc.). Since stimuli in the V, LV, and LA modalities had been carefully chosen to avoid any redundancies across modalities, it was a easy to match the great majority of subject responses to stimulus items in these modalities. Coding the H, K, A, and SA modalities was a bit more challenging as -8- Modality Based Working Memory presentations were done non-verbally, but recall was verbal, necessitating a cross-modal translation on the part of the subject to produce the recall. This meant that subjects gave a variety of descriptions and it required some judgment in a number of cases to match a recalled item to a particular stimulus. In the case of the H, K and SA modalities, a number of stimuli were combined to simplify the coding and increase the ability to accurately distinguish subject responses. (See Appendix A for the differences between the encoding versus stimulus lists.) Double checking was achieved by coding each recall sequence twice (with at least a few weeks between codings); there were only five items out of a total of about 370 total whose coding was changed on the second go-through. Analysis Chart 1 shows the number of items correctly recalled by each subject for every trial run. There is a distinct linear trend (r=0.86, p<.001), but the data is rather dispersed, especially for IM>2 values. An analysis of variance showed significance F(4,30)=4.3, p<.01. However, only the IM=0 group showed any significant difference (p<.01), while the IM=2 showed near significant difference from the IM=5 group (p<.08). Chart 1 – Number of correctly recalled items (each data point represents one subject’s successful recall count for one trial run) # items successfully recalled 25 20 Total Recalled (V+LV+LA+A+H+K+SA) 15 10 5 V + LV + LA 0 -1 0 1 2 3 4 5 6 IM Count (number of items presented per modality) Also graphed on Chart 1 are the totals for the visual and linguistic items (i.e., V+LA+LV). These correspond to traditional free recall tests where subjects are presented either pictures or word items for recall. These modalities, when summed together, have no particular sensitivity to the IM count with a correlation of r=0.04; they show a fairly constant sum of about 7.5 recalled items (SD=1.4) across all values of the IM count. Given that V+LV+LA is a near constant, Chart 2 shows the that a large fraction of the variability of the Total Recalled value can be attributed to the sum of the recalled items in the four A, H, K, and SA modalities. The two data sets correlate at r=0.89 (p < .01). The sum of A+H+K+SA also has a very linear dependency upon the IM Count, correlating with r=0.90 (p < .01). -9- Modality Based Working Memory Chart 2 – Graph of Total Recalled and Total of A+H+K+SA 25 Total Recalled 20 # items y = 2.5x + 8.3 R2 = 0.75 15 A+H+K+SA 10 V + LV + LA 5 y = 2.3x + 1.4 R2 = 0.79 0 0 1 2 3 4 5 6 IM Count (# items per modality) Chart 3 shows the number of correctly recalled items for all IM Counts, broken out by the Series A and Series B data. (Series A and B are the two sets of trial runs and of their corresponding subjects.) It also shows the totals for the A, H, K, and SA modalities labeled as line D in the chart. The trend lines for the A and B series data are rather distinctly different from each other and appear to break right at IM=3. This discontinuity between the two series will be covered more in the discussion section. An analysis of variance showed possible significance between the Total Recalled IM=2 group and the Series B data, with F(2,17)=2.8, p<.09. The line labeled “C” in Chart 3 shows the average of the percentage of total items in a each trial run which were correctly recalled. This shows a peak value at IM=2 and then declining thereafter. This indicates that subjects were recalling a smaller and smaller proportion of the total number of items presented to them. An analysis of variance showed significance F(4,29)=3.5, p=0.05. - 10 - Modality Based Working Memory Chart 3 – Correctly recalled items for series A and B, and per cent recalled Series #A Series #B (error bars +/- 1 SD) 120% % correct minus fill sequence (right axis) 20.0 B 100% Total Recalled 80% 15.0 C A 60% 10.0 40% A+H+K+SA 5.0 20% 0.0 0% 0 1 2 3 4 IM Count (# of items per modality) 5 % Correct # Corrrect Items 25.0 6 Recalled Items in Each Modality Chart 4 – Averages of V, LV, and LA Recalled Items # of items Chart 4 shows the graph of the 9.0 means of the recalled items for V, LV, LA, and A. Of particular note is 8.0 the slight negative correlation V+LA+LV between the LA+LV versus V plots 7.0 (one goes down where the other goes up and vice versa), r= -0.33, 6.0 (p<.07). Given the near constant value of the V+LA+LV plot, this 5.0 seems like indirect evidence for LA+LV recoding going on between the V 4.0 and L modalities. That is, an item received in say LA gets recoded and LA V 3.0 stored in V, thereby lowering the A number of V items that can be 2.0 recalled, but apparently increasing LV the number of LA items that have been remembered. There is no such 1.0 systematic variation between the LA and LV curves, indicating no 0.0 seeming relationship; one might 0 1 2 3 4 5 6 hope for counter-correlation since, by the memory model used here, they IM Count are using a shared resource. However, the possible occurrence of recoding into V and/or A may have obscured this relationship. Of note also is that the LA and A modalities are slightly monotonic in opposing directions (r= -0.9 of the means), perhaps indicating that introduction of the A - 11 - Modality Based Working Memory modality items starting at IM=2 starts to place a slight burden on the auditory systems and lowering its efficiency, ever so slightly, of passing LA items through to the L modality. This is just conjecture however as there is no significance to any of these measures (except perhaps the V vs. LV+LA measure above). Chart 5 – Averages for recalled items in A, H, K, and SA # of items Chart 5 shows the plot of the recalled items from the 4.0 other four modalities under study. There is a general SA 3.5 monotonic increase for all but the H modality, which itself K 3.0 has a slight puzzling downward trend after IM=3. In particular, the H, A, and K plots are distinctly similar and 2.5 A linear at the IM=2 and IM=3 values (varying from 1.5 to 2.0 2.4 recalled items, respectively). Since at IM=2, a H 1.5 maximum of two items can be recalled (and 3 items at 1.0 IM=3, and so on), no curve can perforce increase at a slope of faster than one. The very linear relationship in 0.5 the range IM=2 to IM=3 seems to provide additional 0.0 evidence that a linear process is occuring in these 0 1 2 3 4 5 6 modalities. At IM=4 there seem to be distinct nonlinearities introduced into all but the K curve, indicative IM Count perhaps some sort of internal effects, such as inteference or capacity limitations, starting to occur within those modalities. Of further interest might be the fact that virtually none of these curves correlate with each other on a within-subject basis (the highest correlation is between SA and K on a subject-by-subject basis, r=0.46, (p<.05)). This means that a subject performing well or poorly in a given modality seems to have no bearing on how the same subject does in other modalities for a given trial run. Recency and Primacy Curves Chart 6 – Probability of recall of V, LV, and LA as a function of item’s original presentation position Probability of Recall Chart 6 shows the probability of an item’s 0.9 V being recalled as a 0.8 function of where the item LA 0.7 occurred within the V+LV+LA presentation sequence 0.6 LA+LV within its own modality. 0.5 The data across trial runs LV and across modalities had 0.4 to be normalized relative 0.3 to each other to 0.2 compensate for the fact that the number of items 0.1 presented in any given 0 modality varied considerably depending upon the trial run and the modality. For example, in Serial Position of Recall (normalized for trial run length) trial run T9, there were seven LA and seven LV items, six V items, and four for each of the other modalities. This meant that each modality had a varying number of items presented which differed across trial runs. Calculating the probability that the ith item presented for modality m, required normalizing the length of all modality sequences. See Appendix G for details of how the normalization was performed and the primacy/recency curves were calculated. 0.95 0.85 0.75 0.65 0.55 0.45 0.35 0.25 0.15 0.05 As to be expected, Chart 6 shows fairly solid recency and primacy effects for virtually all combinations of the V, LV, and LA modalities, one of the marks of short term memory. Note how the LA+LV plot shows that the LV and LA curves tend to cancel out their individual swings, especially in the somewhat wild LA swings of the latter third of the - 12 - Modality Based Working Memory curve. Such behavior seems indicative of the existence a single underlying shared resource that they are both making use of. Chart 7 – Probability of recall of A, H, K, and SA for trial runs T9 and T10 Probability of Recall Chart 7 shows the probability of an item in Total = combined K, H, A, & SA the A, H, K, or SA 1.2 modalities being correctly recalled, depending upon 1 the order it was presented K to a subject. This chart is 0.8 organized identically to H Chart 6, except that it only 0.6 Total shows data for trial runs A where each modality had at 0.4 least four items (trial runs SA T9 and T10). The data was 0.2 restricted to these trial runs because the other ones had 0 modality sequences of only two or three items per modality. Such sequences are just too short to show Serial Position of Recall (normalized to trial run length) much in the way of recency or primacy effect, especially considering the small number of subjects. (As it is, because the recall sequences are so short, there is noticeable quantization effects in the chart from the normalizing operation.) 95% 85% 75% 65% 55% 45% 35% 25% 15% 5% In Chart 7, only the H curve really shows much of the normal primacy/recency curve. The other modalities seem to have no readily discernable overall pattern. Notable is the near 100% recall of the initial sound (in either A or SA) and similarly the near 100% recall of the last kinesthetic action performed across all subjects and all trial runs. There certainly generally seems to be a primacy effect (except for K). The lack of recency may be due to the small number of items presented in each modality and due to the relatively long time from the end of each sequence until recall actually started. Each sequence was intermixed with each other and with the V, LV, and LA sequences. In addition there was the fill sequence (in V, LV, and LA) which further delayed getting to the recall of these four modalities. So much delay may have limited the recency effect. Additionally, the sudden dip of the SA curve at the end may be due to a coding artifact from the last SA item in trial run T9; this stimulus seemed to have been confounded with another stimulus in that trial run. This may have artificially lowered the end of the SA curve. It would also explain the unexpectedly flat response at IM=4 for the SA curve in Chart 5. Discussion The modality cognition model (Figure 1) was used to make a number of predictions and which were tested in this experiment. Total Working Memory Capacity As predicted, the total working memory capacity seemed to be increased by using modal specific stimuli. Chart 1 shows subjects recalled about 7 to 8 items in the V, LV, and LA modalities. Chart 2 shows subjects were able to reliably recall some eight to 15 additional items by use of additional modalities. Similarly organized free recall experiments typically report recall lengths of 5 to 10 items for arbitrarily length lists of unordered stimuli lists presented in either V or A (Miller, 1956). In this experiment, the 15-23 items recalled by subjects is some 250% to 300% higher than those other reported rates, and similarly higher than the base rate of some 7.5 words for the V+LV+LA levels recorded in this study. The much higher recall rate in this study certainly seems indicative of some additional memory aid being employed. - 13 - Modality Based Working Memory Other techniques, such as categorizing the stimuli, have been used to increase recall rates. If free recall lists are organized into categories and presented with items blocked together by category, then the recall rate seems to be improved by approximately 15% to 70%, depending upon the study (Dallett, 1964; Cofer, Bruce, & Reicher, 1966). This is still well short of what was found here (which had random presentation of stimuli). As predicted, and as illustrated by Charts 1 through 3, there appears to be a linear increase in recalled items as IM is increased. As for the predicted leveling off of working memory capacity as IM continues to increase, the discontinuity is unfortunate in Chart 3 between the Series A and Series B data at the IM=3. Both the subjects and the organization of the trial runs changed right at this juncture when switching from Series A to Series B. This makes it difficult to discern whether the apparent leveling off is due to the increasing value of IM, the use of a different set of subjects, or the differing set of cards used in the trial runs. One reasonable interpretation of difference in slopes of the two series is indeed that Series B represents a leveling off of the linear increase shown by the Series A trial runs. Unfortunately, the same data can also be reasonably interpreted as a noisy linear increase all the way form IM=2 to IM=5 (see Chart 1). As such, it remains for future work to establish if the predicted leveling off of total working memory capacity does indeed occur as expected. Seven Plus or Minus Two The sum of the V+LV+LA values across all trial runs show a very consistent average of seven to eight items being recalled from these three presentation modalities. Indeed, only two out of 33 trial runs with subjects had any V+LV+LA score higher than nine. The strong consistency reconfirms the seeming limits of these three modalities operating together. The items recalled above and beyond these three modalities are strongly indicative that some other memory mechanism is operating in addition to the usual visual/verbal one as tested by traditional free recall tasks. Primacy / Recency Effects There is a clear primacy / recency effect for the V, LV, and LA modalities as expected and as shown in Chart 6. Chart 7 is not nearly so clear with the A, H, K, and SA modalities. At best there either seems to be some evidence (the primacy effect seems strong, H shows clear recency, and the sum of the curves shows primacy/recency) or there are explanations for lack of a clearly discernable effect. It seems more data needs to be collected to resolve this. However, it seems like there is reason to cautiously expect that this effect exists, especially considering the small numbers of trials and of subjects in this study. Other Evidence Other evidence for the modality cognition model, mentioned earlier, can be found on Charts 4 and 7. On Chart 4, the countervailing swings of the V and LV+LA curves indicate either a shared resource or significant crossencoding and cross-storage is occurring. Similarly, on Chart 7, the countervailing swings of the LV and LA curves indicate a shared resource constraining their individual capacities. This shared resource has often been referred to as verbal memory (Baddeley, 2000) or phonological memory (Penney, 1989). This shared construct is here characterized as a linguistic representational system and which can readily take its input (with literate individuals) from either V or A. Note that this linguistic model also nicely integrates with other linguistic inputs such as with Braille or American Sign Language (KL and VL). There is other evidence developed during the course of the study, but not reported in detail due to lack of space. Independently of presentation order, subjects frequently clustered stimuli from the same modality into sequences during recall. According to Penney (1989), when subjects are presented stimuli in varying modalities and which are also organized by category, during recall they have a strong preference for clustering items via modality as opposed to category. This certainly indicates that modality is a stronger associative bond than category seems to be, and that perhaps modality association occurs because it is a deeper underlying mechanism than category. The fMRI evidence to date seems to indicate this with the demonstration that the category of “living things” is encoded across several modalities (Schill-Thompson, et al., 1999). - 14 - Modality Based Working Memory It has been suggested that the modality enhancement effect found here is nothing other than a fancy form of categorization (Greeno, 2001). Appropriate categorization can improve free recall by 50% to 70% (Dallett, 1964), but this is only a fraction of the improvement that using multiple modalities seems to have offered here. Bower, et al. (1969) showed a 150% to 350% improvement on recall when stimuli were carefully categorized and hierarchically organized, as opposed to the same items being presented in random order. Bower presented all items at once (via a printed card) in a visually, spatially, and semantically organized hierarchy and gave subjects approximately four minutes to study the hierarchy (of up to 112 items divided into some 30-40 categories). Test subjects had a visual display whose items were carefully associated as to semantic content and spatial grouping so as to make conceptual sense, whereas controls had items randomly organized into the same spatial groupings. Additionally, each subject had four opportunities to see the display and write their recall. The present study of course employed an entirely different presentation technique. However, it is notable that random presentation caused a tremendous detriment in Bower, but random organization in the present study still lead to superior recall performance. One can only conjecture what improvement it would have been to the present study’s subjects to have had all stimuli grouped by modality during presentation. Another way of looking at Bower’s results is through the lens of the current modality model. Bower’s subjects were presented stimuli in V, LV, and SV, and had ample time and cause during the several minute study period to recode to L and A, and possibly into other modalities. Additionally, the items were grouped into small categories of two to three items per category. As such, Bower’s results might possibly be reasonably interpreted as comparable to the current study’s – Bower’s subjects were simultaneous using multiple modalities, just as the current study’s subjects did, and achieved similar results, and in additon had the benefit of semantic categorization. It is also clear, both in the case of Bower, the present, and other category-related studies (Dallet, 1964; Pollio, Richards, and Lucas, 1969), that organizing stimuli and hierarchically grouping them is of enormous benefit in recall. Other studies have demonstrated greatly enhanced recall capabilities and/or recency effects via categorization or similar organization, but these too can be interpreted in terms of utilizing modalities beyond the V, LV, and LA of traditional free recall tasks. Watkins & Peynircioglu (1983) used six categories (riddles, sounds, objects, favorites, quiz questions, and drawings) and which were run in two groupings of riddle-sound-objects and favorites-quizdrawing. The first grouping can easily be interpreted as presentations in LV-A-V and the second group as E-L-K/V. They showed subjects were able to recall about five items from each of three categories; this is a performance comparable to the present study’s. As a counter-argument, studies which try to use purely taxonomic categories (except for Dallet (1964)), tend to show little benefit from categories (Cofer, Bruce, Reicher, 1966). The net result is that the modality utilization of the current study could be interpreted as a form of categorization. However, categorization only seems to succeed where multiple modalities are employed. This makes it seem more likely that successful categorization used to enhance recall should be interpreted as a special case of use of multiple modalities. Conclusion A number of working memory phenomena were consistently reproduced in this experiment (the various well-known effects such as fixed capacity, primacy, and recency) with other phenomena occurring on top of these (greatly increased working memory capacity for one). Various sources of evidence seem supportive of the modality cognition model proposed here. While these modality effects can be explained as a form of categorization, it seems as likely, or possibly even more likely, that categorization effects can be explained as a form of modal crossencoding. In particular support of this view point is the recent fMRI evidence of the modal organization of working memory and likely cross-modal encoding of categories. In conclusion, this study has presented a model for how certain aspects of relatively low-level human cognition occurs via a number of distinct modal loci processing centers ordered into at least two layers. Evidence was developed to show support for a linguistic and spatial modalities as well as for the sensory based ones. In fact, one reasonable interpretation of the present study’s data is that each of the modalities seem to have a working memory capacity of about three items in a free recall task. If this interpretation is valid, then Miller’s famous seven plus or minus two dictum might really be something more akin to say seven = 3+2+2 (V+LV+LA). - 15 - Modality Based Working Memory References Baddeley, Alan D. & Hitch, Graham (1993). The recency effect: Implict learning with explicit retrieval?. Memory and Cognition, 21(2), 146-155. Baddeley, Alan (2000). Short-Term and Working Memory. In E. Tulving & F. I. M Craik (Eds.) (eds.) Oxford Handbook of Working Memory. Oxford : NY. Bower, Gordon H., Clark, Michar C., Lesgold, ALan M., and Winzenz, David (1969). Hierarchical retrieval schemes in recal of categorized word lists. Journal of Verbal Learning & Verbal Behavior, 8(3), 323-343. Bower, Gordon H. (2000). A Brief History of Memory Research. In E. Tulving and F. I. M. Craik (eds.) (eds.) The Oxford Handbook of Memory. Oxford : NY. Cofer, C. N., Bruce, D. R., and Reicher, G. M. (1966). Clustering in free recall as a function olf certain methodological variables. Journal of Experimental Psychology, 71, 858-866. Crowder, Robert G. (1993). Short-term memory: Where do we stand?. Memory and Cognition, 21, 142-146. Dallett, Kent M. (1964). Number of categories and category information in free recall. Journal of Experimental Psychology, 68(1), 1-12. Dehaene, S., Spelke, E., Pinel, P., Stanescu, R., Tsivkin, S. (1999). Sources of Mathematical Thinking: Behavioral and Brain-Imaging Evidence. Science, 284, 970-974. Duis, Sandra S., Dean, Raymond S., Derks, Peter (1994). The modality effect: A result of methodology?. Elman, Jeffrey L. (1990). Finding structure in time. Cognitive Science, 14, 179-211. Goldstone, Robert L., Barsalou, Lawrence W. (1998). Reuniting perception and conception. Cognition, 65, 231262. Greeno, 2001. Personal conversation. Groeger, John A., Field, David, Hammond, Sean M. (1999). Measuring memory span. Quebeck 98 Conference on Short-Term Memory (Jun: Quebec City, PQ, Canada). James, William (1890). The principles of Psychology. Dover Publications: NY. McKone, Elinor & Dennis, Christopher (2000). Short-term implicit memory: Visual, auditory, and corss-modality priming. Psychonomic Bulletin & Review, , 341-346. Miller, George A. (1956). The magical number seven, plus or minust two: Some limits on our capacity for processing information. Psychological Review, 63(2), 81-97. Nairne, James S. (1990). A feature model of immediate memory. Memory and Cognition, 18(3), 251-269. Nersessian, Nancy J. (unpublished). Abstraction via Generic Modeling in Concept Formation in Science. Penney, Catherine (1989). Modality effects and the structure of short-term verbal memory. Memory and Cognition, 17(4), 398-422. Pollio, Howard R., Richards,Steven, and Lucas, Richard (1969). Temporal properties of category recall. Journal of Verbal Learning & Verbal Behavior, 8, 529-536. Ratcliff, Roger & McKoon, Gail (2000). Memory Models. In Endel Tulving & Fergus I. M. Craik (eds.) (eds.) The Oxford Handbook of Memory. Oxford : NY. Schill-Thompson, S. L., Aquirre, G. K., D'Esposito, M. & Farah, M. J. (1999). A neural basis for category and modality specificity of semantic knowledge. Neuropchologia, 37, 671-676. Schurman, D. L., Bernstein, Ira H., Proctor, Robert W. (1973). Modality-specific short-term storage for pressure. Bulletin of the Psychonomic Society, 1(1B), 70-75. Schweickert, Richard (1993). A multinominal processing tree model for degradation and deintegration in immediate recall. Memory and Cognition, 21, 168-175. Shiiffrin, Richard M. (1993). Short-term memory: A brief commentary. Memory and Cognition, 21, 193-197. Watkins, M. J. & Peynircioglu, Z. F. (1983). Three recency effects at the same time. Journal of Verbal Learning & Verbal Behavior, 22, 375-384. Weiskrantz, L. (1987). Neuroanatomy of memory and amnesia: A case for multiple memory systems. White, Theresa L. & Treisman, Michel (1997). A comparison of the encode of content and order in olfactory memory and in memory for visually presented verbal materials. - 16 - Appendices Apendices Appendix A – List of All Stimuli This appendix lists the stimuli presented to subjects. Stimuli were divided among the seven modalities Trials 1 & 2 Circle where you were contacted 400 402 401 403 406 133 413 404 406 102 134 103 405 406 106 101 105 104 409 411 412 front rear 109 108 131 123 Circle what you were told to move. 130 107 122 121 Trials 3 & 4 621 622 625 626 125 126 623 124 118 624 129 128 127 111 627 112 113 116 114 628 front 132 115 119 Circle the direction of any click-clacks you heard. 117 564 front 551 563 557 553 552 554 561 558 rear 501 502 503 504 505 506 507 508 509 above 559 560 552 562 556 555 under study. Each stimuli had an associated numeric code which is listed in this appendix. The code is used elsewhere to identify each stimulus in the analysis and in other appendices. Stimuli which have been struck-thru were eliminated because of their possible redundancy or priming effect on other stimuli. Stimuli in the V, LV, and Appendices LA modalities were randomly divided between two equal sized lists. Any given trial run was constructed only from one or the other of the two lists as a means to see if there was any differential effect in how items in these modalities were recalled (i.e., to see if there was a non-random preference for V, LV, LA items across trials – no such preference showed up, validating some level of homogeneity of stimuli within these modalities). Words Trials 1 & 2 701 703 705 707 709 201 713 715 203 717 719 721 723 725 205 207 apple ball blanket bottle bread brunch candle cheese cloud coat couch desk egg fish fork goose 209 211 731 733 735 213 737 739 741 745 747 215 749 217 751 219 755 hat ink juice leaf lunch moon night page pants picture pliers pole pond river rock rug salad 757 221 759 761 223 225 753 227 743 229 729 727 231 233 711 235 237 Noises scarf seed shark shirt shovel stairs stamp storm street string tea tissue towel tree water whale window Trials 1 & 2 98 72 74 76 80 70 88 86 96 Trials 3 & 4 Trials 3 & 4 702 704 706 708 710 202 714 716 718 720 204 726 206 728 208 210 bag bed bookcase box breakfast brush carrot clock coffee cup fence flower frog gate grass house 212 732 734 736 738 214 742 744 746 216 218 220 756 222 760 754 knife lake letter milk ocean pan paper pencil pillow rain roof ruler sandwich shelf soap socks 758 224 752 750 226 748 228 740 730 230 724 232 722 234 236 238 broken glass buzzer car crash cash register cow moo frog phone ring piano / music note wolf soda spoon stapler stars stick store stove sun table tissue toothbrush train tree turtle wheel wine - 18 - 99 71 75 77 79 81 83 87 85 89 93 95 bubbling burp car horn cat clapping dog bark drum roll horse neigh laughter police siren trumpet wind Appendices Stimulus Codes Visual 1 (V) 109 130 131 103 134 108 102 133 101 106 122 105 104 123 107 121 Visual 2 (V) book camera car chicken cow dice duck horse pickup truck pig seat belt sheep tractor truck TV wrench 115 bicycle 117 bird 124 boot 126 castle 116 chair 118 cigar 113 comb 129 eye glasses 127 hammer 111 hand 114 lamp 119 piano 112 scissors 125 teepee 132 turtle 128 whistle Auditory 1 (A) 98 72 74 76 80 70 88 86 96 Auditory 2 (A) broken glass buzzer car crash cash register cow moo frog phone ring piano / music note wolf 99 bubbling 71 burp 75 car horn 77 cat 79 clapping 81 dog bark 83 drum roll 87 horse neigh 85 laughter 89 police siren 93 trumpet 95 wind LinguisticVisual 1 (LV) LinguisticVisual 2 (LV) 201 203 205 207 209 211 213 215 217 202 204 206 208 210 212 214 216 218 brunch cloud fork goose hat ink moon pole river brush fence frog grass house knife pan rain roof LinguisticAuditory 1 (LA) 1 apple 3 ball 5 blanket 7 bottle 9 bread 13 candle 15 cheese 17 coat 19 couch LinguisticAuditory 2 (LA) 2 bag 4 bed 6 bookcase 8 box 10 breakfast 14 carrot 16 clock 18 coffee - 19 - Appendices 219 221 223 225 227 229 231 233 235 237 rug seed shovel stairs storm string towel tree whale window Haptic (H) encoding 220 222 224 226 228 230 232 234 236 238 ruler shelf spoon stick stove tissue train turtle wheel wine Haptic (H) (stimuli list) 21 23 25 31 33 35 37 39 41 45 47 49 51 55 57 59 61 53 43 29 27 11 409 hand 405 upper back 411 thigh 412 knee 413 middle back 20 26 28 32 34 36 38 42 44 46 56 60 54 58 52 50 48 40 30 24 22 cup flower gate lake letter milk ocean paper pencil pillow sandwich soap socks soda stapler stars store sun table toothbrush tree SA Spatial-Auditory (SA) enc (stimuli list) odin g 400 top of head 401 back of head 402 side of head 403 back of neck 404 shoulder 405 upper back 406 406 upper arm 406 407 elbow 406 408 lower arm desk egg fish juice leaf lunch night page pants picture pliers pond rock salad scarf shark shirt stamp street tea tissue water 557 558 557 558 557 551 immed. above head 552 immed. behind head 553 near L. ear 554 near R. ear 555 45 to rear L. 556 45 to rear R. 557 to L. 558 to R. 559 forward upper L. 558 560 forward upper R. 561 behind back 561 562 behind near floor 563 forehead 551 564 far above head Kinesthetic (K) (stimuli list) Kinesthetic (K) encoding 601 raise elbows 623 602 twist legs 627 head 621 603 604 605 606 607 608 609 622 623 624 628 627 625 621 shoulders 622 arms 623 hands 624 torso 625 stomach 626 legs 627 feet/ankles 628 610 611 612 613 614 rotate shoulders raise arms flex hands flex ankles move legs twist torso head forward & back rotate head tighten stomach tighten arms tighten legs put arms backwards 621 626 623 627 623 The following stimuli were also originally included in the study to test for a spatial-visual (SV) modality. They had to be eliminated when it became apparent during piloting that the design of the stimuli were faulty (some Ss were using a mnemonic device of representing all presented SV stimuli into the pattern of a tic-tac-toe board rather than recalling them as separate stimuli). Spatial-Visual - 20 - Appendices (SV) 501 upper L. 502 upper middle 503 upper R. 504 middle L. 505 center 506 center R. 507 lower L. 508 lower middle 509 lower R. 511 upper L. 512 upper middle 513 upper R. 514 middle L. 515 center 516 center R. 517 lower L. 518 lower middle 519 lower R. - 21 - Appendices Appendix B –Organization of Trial Runs Organization of Trial Runs The exact ordering of stimuli in each trial run is given below. The codes listed with each trial run identify stimuli and are defined in Appendix A. The trial runs were administered in two separate series. Subjects in a given series received exactly the same sequence of trial runs. The series were organized as follows: Series Number Number of Subjects Trial Run Sequences A 4 T0, T1, T2, T3, T6, T7 B 6 T8, T9, T10 Series A validated various aspect of the design as well as providing extensive data for testing against two and three stimuli in each modality. Additionally it validated that the eight item fill sequence length was adequate by using sixteen fill items for trial run T7 (which otherwise was set up identically in form to trial T2). T7 and T2 showed no differences in the pattern of fill item responses. Series B tested the major premise of the experiment by testing against three, four, and five stimuli items in each modality. The stimuli sequences for trial runs for T0 through T7 are given below: T0 T1 (List 1) 1 2 3 4 5 6 7 8 9 10 235 49 106 1 53 39 213 123 233 219 11 45 T2 (2seq) (List 1) (List 2) 1 2 3 4 5 6 7 8 9 10 44 228 2 36 118 18 230 127 236 113 11 234 12 217 12 48 13 107 13 111 14 9 14 224 15 11 15 38 16 201 16 56 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 402 3 96 237 108 623 554 628 101 561 T3 (3seq) (List 1) 1 2 3 4 5 6 7 8 9 10 80 104 551 76 102 31 623 552 407 203 74 11 626 205 12 405 41 13 15 409 14 98 47 15 121 5 16 560 122 17 627 T6 (2seq) (List 2) 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 T7 (3seq) (List 2) 89 556 405 202 623 232 406 553 119 87 1 2 3 4 5 6 7 8 9 10 71 24 403 562 621 75 212 220 126 8 625 11 623 208 12 129 404 13 557 34 14 401 16 15 50 114 16 238 115 17 125 - 22 - Appendices 1 8 1 9 2 0 2 1 2 2 double lines under items indicate end of test sequence and start of the fill sequence 221 18 229 19 412 231 20 215 43 21 225 105 22 25 61 23 109 24 209 25 227 26 103 27 211 28 55 29 29 1 8 1 9 2 0 2 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 564 95 18 222 19 621 20 116 27 21 206 218 22 124 23 210 22 24 117 25 214 26 216 112 27 204 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 402 3 96 237 108 623 554 628 101 561 72 205 41 409 223 88 116 627 59 555 401 207 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 40 14 28 30 29 128 The stimuli sequences for trial runs T8 through T10 are given below: T8 T9 T10 (3(4(5seq) seq) seq) (List (List (List 1) 1) 2) 225 80 104 551 102 31 76 623 552 407 203 626 405 15 83 121 560 627 25 412 215 61 32 226 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 10 218 89 556 405 202 615 411 553 232 119 87 625 208 406 34 16 114 115 564 79 621 27 - 23 - 20 4 Appendices 23 24 25 26 27 28 29 109 209 227 103 211 55 29 23 24 25 26 27 28 29 30 31 32 33 34 35 36 81 7 624 563 112 406 47 5 122 221 229 231 43 105 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 71 24 403 562 627 75 212 220 126 8 614 129 563 400 210 117 40 216 204 20 128 4 - 24 - Appendices Appendix C – Procedures This appendix describes the procedures followed to setup and perform this experiment. The appendix first describes the procedure used to create the various trial runs and used to minimize any preference bias for individual stimuli of stimuli sequences followed by a detailed description of the procedures used to perform the experiment and gather data. Procedures Used to Set Up Trial Runs Since this was not a study about priming, and to minimize stimulus preference because of redundant presentations, stimuli for each modality were carefully screened to avoid redundancies within and across modalities. For example, if a picture of a pig existed in the V modality, the word “pig” could not also be used in either LV or LA. Similarly, each of the several hundred stimuli were checked to minimize the likelihood of redundancy, priming, and obvious association. It was not possible to eliminate all obvious associations (for example, “rain” and “cloud” in LA, and “moon” in LA vs. “sun” in LV). However, various obvious associations were screened out such as a dog barking in A and a picture of a dog in V. Additionally, stimuli were only presented once to each subject. Method for Creation of Trial Runs Stimuli were assembled into sequences called trial runs. Each trial run (numbered in the order that they were created – T0, T1, T2, etc.) had the same number of stimuli from each modality and then had a fill sequence at the end in the V, LA, and LV modalities. Each stimulus was presented only once to any given subject. Trial runs T0 and T1 consisted only of V, LA, and LV modalities and were used to demonstrate that this system could reproduce the results of traditional free recall experiments (i.e., “seven plus or minus two”). The table below shows the number of cards of each type in each trial run. Note that total sequence length equals seven times the middle column plus the length of the fill sequence. (The following table is reproduced from the body of the text for convenience.) Table 1 – Organization of the Trial Runs Number of cards in each of the various modalities Trial Run Total Seq. Length V, LA, LV, H, A, K, SA T0 16 T1 Fill Sequence (V / LA / LV) Comments - 16 (3/6/7) Calibration sequence (see text) 16 - 16 (4/5/7) Calibration sequence (see text) T2 22 2 8 (2/3/3) T3 29 3 8 (2/3/3) T6 29 3 8 (2/3/3) T7 30 2 16 (4/6/6) T8 29 3 8 (2/3/3) T9 36 4 8 (2/3/3) T10 44 5 8 (2/3/3) Each stimuli was initially written on its own separate card in the manner indicated above and grouped by modality (i.e. all the haptic cards together, all the visual ones together, etc.). The cards in each modality were randomly sorted (using 52-card pick-up style sorting – i.e., tossed into the air and allowed to fall to the floor and reassembled into a single pile). Trial runs were created by drawing a suitable number of cards from each modality to create the trial run. The order of the cards in each trial run was randomized (using the toss-up method). The following conditions were checked for in each trial run and manual adjustments were made to eliminate them (pilot testing indicated these caused very biased responses during the recall task): - 25 - Appendices - Cards in the H, A, K, or SA modalities that were adjacent or separated by only one card from each other; - Three cards in a row from the same modality; - Two or more adjacent cards with obvious associations (i.e. “sun” and “moon” or “rain” and “fall” even if in differing modalities). The typical adjustment was to swap one of the offending cards with another card a bit further down in the sequence to eliminate the problem. [NOTE: A better system for trial run creation would have been to create the modality piles, and then use psuedorandom selection from each pile, skipping a random number if one of the above conditions would occur. The tossup system did not sufficiently randomize cards and it became apparent that there were some unintentional sequence biases which had to be corrected during pilot testing. The above rules arose because of these piloting observations.] Experimental Procedures Subjects were presented with several trial runs in sequence. Each trial run consisted of a presentation of the trial’s stimuli sequence, and without interruption, immediately followed by the subject’s attempt to recall as many items out of the presentation as possible. The experimenter wrote down items in the order of recall as the subject recalled items. A cassette recorder was also used as a back-up and to double check that each subject’s recalled list was accurately recorded. Appendix C contains a detailed description of the exact procedures followed during a session. Session Introduction At the start of a session, the experimenter explained the following: “This is a study of short term memory to see how well people can recall things. I will present you with a sequence of items and when we are done with the sequence I want you to try to recall as many of them as you can. I will write them down and also am using the cassette recorder as a back up to make sure I don’t miss anything. The tape will be erased after double checking your answers. Some of the items will be words or pictures I’ll show you and some will be words which I will speak. Other items will be clicks I’ll make in various directions around you [demonstrate use of staple remover to make a distinct clicking noise] and you will need to remember the direction that you heard the clicks. I will also lightly touch you in various places with a pencil [demonstrate the touching]. You will also hear various sounds which aren’t words such as ‘screeching tires’ and which you should be able to readily recognize. Lastly, I will also ask you to move various parts of your body by saying something like ‘Please roll your shoulders” or some such. Please do concentrate and try to recall as many items as you can.” Directions were then given as to how the subject should position themselves. The experimenter and subject sat adjacent to each other at a table, with the experimenter always to the subject’s left (i.e., all stimuli were administered from the left side). Subjects cupped both their hands around their eyes to eliminate peripheral vision and so that they could only see the area of the table directly in front of them. This cupped hand technique created a field of vision of about 60 degrees (i.e., 30 degrees to either side of the center line). The cupped hand technique allowed a very consistent presentation of stimuli without the subject receiving undue visual clues (such as seeing the experimenter reaching around behind them to touch them or create the SA clicks in the appropriate directions). Performing a Trial Run A measured consistent pace was attempted so that all items were presented at a comparable rate and comparable length of time. Visual items were held in front of the subject in their field of view for approximately three seconds or until the subject indicated that they were ready to go on. Similarly, other modality items were presented as given in Table 1. - 26 - Appendices The experimenter took great care to insure that no noise or other unintended sensory stimulus occurred that might clue a subject as to anything that was about to happen. As verification of this, subjects consistently responded in post-experimental debriefing that they never knew exactly when a stimuli was about to be administered (indeed several subjects visibly startled the first time they were touched, an SA click was made, or a sound effect occurred). It typically took just under two minutes to present a thirty item list, giving about four seconds for presentation of each stimulus. Longer and shorter list presentation times varied in proportion to the list length. The recall sequence also typically lasted just under two minutes before each subject gave up trying to recall further items. Allowing for switching of card decks, stretching, and the like, each trial run lasted about five minutes. Each session typically lasted 20 to 30 minutes, depending on how many trial runs a subject was put through and how long the debriefing discussion ran. All subjects in a given series were given the same sequence of trial runs, with each trial run always consisting of the same stimuli sequence. Because subjects were unpaid volunteers participating as a favor to the author, no familiarization runs were performed so as to minimize the required time commitment. Because of this, with about half of the subjects it was necessary on the first trial run to prompt them to recall all modalities (they had left out one or another modality in these cases). Performance did not seem to be particularly affected when subjects were prompted (though no formal analysis was performed to verify this). Post-session Debriefing All subjects were asked after the completion of each session if they had used any special technique or had noticed anything that helped or hindered them in trying to do the recall task. These were noted down along with any other comments the subject provided. The fundamental purpose of the experiment was then explained and was usually followed by some sort of free form discussion about memory and cognition. Subjects were then thanked for their participation. Appendix D – Organization and Administration of the Stimuli This appendix describes how the stimuli were organized and administered to subjects. Modality Visual (V) Auditory (A) Linguistic-Visual (LV) Linguistic-Auditory (LA) Haptic (H) Kinesthetic (K) Stimuli Description and Method of Application Stimuli were easily recognizable green colored line drawings of common objects all in a similar drawing style. They were all garnered from a single clip art package. The images were centered on the card, and were of similar physical size (approximately 2 x 3 cm). Stimuli were easily recognizable sound effects which varied in duration from 1.5 to approximately 2 seconds. They were gathered from a single CD of clip art sounds. Stimuli were common words, mostly of one syllable, printed from a laser printer on a card and which were shown to subjects as the stimulus. Each word was centered on its card in a 36 point serif font (approximately 1 cm high letters). 1 Stimuli were single words spoken by the experimenter. The words were handwritten on a card in quote characters to signify that the stimulus was to be spoken. 1 Stimuli were listed on a card indicating the area to be touched (i.e., “L. knee” or “L. shoulder”) and the subject was lightly rubbed with the eraser end of a pencil for approximately one second. All touches were either in the center or to the left side of the body so as not to confuse subjects with left-right distinctions. Stimuli were requests to move some part of the body (i.e. “flex your 1 The words from a single list, generated for this experiment, were randomly assigned to either the LV or LA condition in order to create the LV and LA word lists. - 27 - Appendices Spatial Auditory (SA) ankles”). Stimuli were administered via the experimenter speaking a request (“please flex your ankles”). Stimuli were selected so as to avoid left-right distinctions so as not to confuse subjects with this subtlety (subjects were always asked to move both legs, both arms, etc.). The direction of a stimulus was written on each card (i.e. “immediately behind head”). Stimuli were administered by clicking a staple remover twice in the appropriate direction. For this modality, left-right directional stimuli were used. Table 1 – How stimuli were presented The V and A stimuli were tested for ease of recognition with two pilot subjects. A stimulus was replaced if either pilot subject had any difficulty recognizing it. None of the other modality stimuli were piloted prior to the experiment (see the codeing and analysis section for discussion of some confusions that may have been created as a result of confusing stimuli among some subjects). - 28 - Appendices Appendix E – Tabulated Recall Data Following is the tabulated data from the experiment. Tot Tot V+L Tot V+L #AL V LV LA A H K SA A+H+K+S Corr +VL A Min 100 200 0 69 399 599 550 Max 140 250 69 100 430 650 599 2/3/2001 16 T0 T1 16 MS0 7 7 5 2 3 2 HG0 7 7 4 3 2 2 JK0 7 7 6 1 2 4 Rita0 MS1 8 8 8 8 5 5 3 3 2 2 3 3 HG1 9 9 7 2 3 4 JK1 7 7 5 7.6 7.6 5.3 2 16 2.3 1 15 2.1 4 22 3.1 0.8 0.8 1.0 0.8 0.7 0.9 Mea n Std Dev T2 T7 T3 T6 22 14 MS2 HG2 JK2 30 MS7 22 HG7 JK7 29 Two items per modality + 8 fill items (V+LV+LA) 12 5 2 3 1 1 2 15 8 4 4 2 2 2 14 7 3 4 1 2 2 12 7 5 2 1 4 0 15 8 6 2 4 2 1 13 8 4 4 1 3 1 19 10 14 8 Mea 13.5 7.2 4.0 3.2 1.7 2.3 1.3 n Std 1.4 1.2 1.4 1.0 1.2 1.0 0.8 Dev 17 MS3 HG3 JK3 MS6 HG6 JK6 Three items per modality + 8 fill items (V+LV+LA) 17 8 3 5 1 2 2 17 7 4 3 1 3 3 16 9 6 3 2 4 2 16 8 4 4 2 2 2 15 6 4 2 1 3 3 14 5 3 2 1 2 3 19 8 16 15 Mea 15.8 7.2 4.0 3.2 1.3 2.7 2.5 n - 29 - V=visual A= Auditory LA = Linguistic/Auditor y LV = Linguistic/Visual H = Haptic K= Kinesthetic SA = Spatial/Auditory 1 2 1 2 2 1 9 1.5 2 2 2 1 2 1 10 1.7 2 1 2 2 2 2 11 1.8 7 7 7 5 7 5 6.3 0.5 0.5 0.4 1.0 3 3 2 2 3 3 16 2.7 3 2 2 2 1 1 11 1.8 1 2 1 2 2 2 10 1.7 9 10 7 8 9 9 8.7 Appendices Std Dev T8 28 17 John8 Lisa8 Rita8 Karen8 MS8 1.2 1.5 1.1 1.2 0.5 0.8 0.5 Three items per modality + 8 fill items (V+LV+LA) 13 5 2 3 2 0 1 20 10 6 4 4 2 1 17 9 6 3 4 2 3 22 11 7 4 3 4 3 19 9 5 4 3 2 2 18 16 10 10 Mea 18.2 8.8 5.2 3.6 3.2 2.0 2.0 n Std 3.4 2.3 1.9 0.5 0.8 1.4 1.0 Dev 0.5 0.8 0.5 1.0 2 3 2 3 2 12 2.4 3 3 2 3 3 14 2.8 2 3 1 2 3 11 2.2 8 10 8 11 10 9.4 0.5 0.4 0.8 1.3 T3+T7+T8 Mea n Std Dev T9 T10 36 44 20 John9 Lisa9 Rita9 Karen9 MS9 24 John10 Rita10 Karen1 0 MS10 16.9 7.9 4.5 3.4 2.2 2.4 2.3 2.5 2.3 1.9 2.6 2.0 1.6 0.9 1.2 1.1 0.8 0.5 0.8 0.7 2 1 1 3 3 10 2.0 2 4 3 3 2 14 2.8 1 3 2 2 2 10 2.0 9.4 1.0 0.8 0.7 1.5 Four items per modality + 8 fill items (V+LV+LA) 15 7 7 0 4 3 3 20 9 6 3 5 1 3 15 7 4 3 3 1 2 20 9 6 3 3 3 3 16 7 3 4 0 3 2 13 15 11 13 Mea 17.2 7.8 5.2 2.6 3.0 2.2 2.6 n Std 2.6 1.1 1.6 1.5 1.9 1.1 0.5 Dev Five items per modality + 8 fill items (V+LV+LA) 15 6 4 2 1 20 8 4 4 3 23 8 4 4 2 Mea n Std Dev 21 8 3 19.8 7.5 3.4 1.0 8 11 8 11 9 3 1 2 2 3 5 1 3 2 4 2 4 2 4 4 9 12 15 13 3.8 5 15 3.8 1 7 1.8 2 8 2.0 2 12 3.0 3 9 2.3 4 14 3.5 4 14 3.5 12.25 0.5 1.3 1.0 0.8 1.4 1.0 1.0 1.0 2.5 Steve's data are parked here because they do not belong in the data set but I don't want to completely delete them Steve8 10 4 2 2 2 0 1 1 2 2 Steve9 14 7 4 3 3 1 2 3 1 1 Steve10 12 5 2 3 1 1 1 0 2 4 - 30 - Appendices MUCH distraction in the room (pets, music, phone), older ~54 - 31 - Appendices Appendix F – Raw Recall Data This appendix contains the actual data from the experiment. The listing is divided into four parts. The first part provides the tabulation of parts two and three. The second part is the raw data for the V, LA, and LV modalities, while the third part is the raw data for the A, H, SA, and K modalities. The last part is the list of errors subjects made on any given trial run. The table has row numbers and column numbers which are common to each row and column to help identify which columns and rows go together across the parts. Part 1 - Tabulated Data Tot Tot V+L Min 0 10 20 69 39 55 59 0 0 9 0 9 69 14 25 10 43 59 65 0 0 0 0 9 0 Max 1 1 T0 2 3 4 5 6 7 8 T1 9 10 11 12 13 14 T2 15 16 17 18 19 20 T7 21 22 23 24 25 26 T3 27 28 29 30 31 32 T6 33 2 3 16 16 MS0 HG0 JK0 Rita0 16 16 16 16 16 7 7 7 8 16 16 16 16 7 7 7 8 2 2 4 3 2 3 1 3 3 2 2 2 5 4 6 5 16 16 16 8 9 7 16 16 16 8 9 7 3 4 4 3 2 2 2 3 1 5 7 5 22 22 22 12 15 14 14 14 14 5 8 7 1 2 2 3 4 4 1 2 1 2 2 2 1 2 1 2 1 2 2 2 2 2 4 3 30 30 30 12 15 13 22 22 22 7 8 8 4 2 3 2 2 4 1 4 1 0 1 1 2 2 1 2 2 2 1 2 1 5 6 4 29 29 29 17 17 16 17 17 17 8 7 9 2 3 4 5 3 3 1 1 2 2 3 2 3 3 2 1 2 1 3 2 2 3 4 6 16 MS1 HG1 JK1 22 14 MS2 HG2 JK2 30 22 MS7 HG7 JK7 29 17 MS3 HG3 JK3 29 4 5 6 7 8 10 11 9 12 13 14 15 Total Total Total V+L LA V LV A H SA K LA+LV # of Cor- V+L Stim. rect 17 - 32 - Appendices 34 35 36 37 38 T8 39 40 41 42 43 44 45 46 47 T9 48 49 50 51 52 53 54 55 56 T10 57 58 59 60 61 62 MS6 HG6 JK6 28 29 29 29 16 15 14 17 17 17 8 6 5 2 3 2 4 2 2 2 1 1 2 3 3 2 3 3 2 2 2 2 1 1 4 4 3 28 28 28 28 28 28 13 10 20 17 22 19 17 17 17 17 17 17 5 4 10 9 11 9 0 0 2 2 4 2 3 2 4 3 4 4 2 2 4 4 3 3 1 1 1 3 3 2 2 1 3 2 3 2 2 2 3 1 2 3 3 2 3 2 3 3 2 2 6 6 7 5 36 36 36 36 36 36 15 14 20 15 20 16 20 20 20 20 20 20 7 7 9 7 9 7 3 1 1 1 3 3 0 3 3 3 3 4 4 3 5 3 3 0 3 2 3 2 3 2 2 3 1 1 3 3 1 1 3 2 2 2 2 1 4 3 3 2 7 4 6 4 6 3 44 44 44 44 44 15 12 20 23 21 24 24 24 24 24 6 5 8 8 8 3 1 1 2 2 2 3 4 4 5 1 1 3 2 1 2 1 3 5 2 1 0 3 2 3 2 4 4 4 4 4 2 2 4 4 4 2 4 4 3 17 John8 Steve8 Lisa8 Rita8 Karen8 MS8 36 20 John9 Steve9 Lisa9 Rita9 Karen9 MS9 44 24 John10 Steve10 Rita10 Karen10 MS10 - 33 - Appendices Part 2 – Raw Subject Data for V, LA, and LV Modalities (recall order in which subject recalled the given stimuli) Codes LA V LV A H SA K Min 0 10 20 69 39 55 59 0 0 9 0 9 Ma 69 14 25 10 43 59 65 Tot x 0 0 0 0 9 0 V+L 1 3 16 17 18 19 20 21 22 23 # 25 26 27 28 29 30 31 # 33 34 35 36 37 38 39 40 41 Linguistic-Auditory Visual Linguistic-Visual (LA) (V) (LV) 1 T0 2 2 16 49 3 4 5 6 7 8 T1 9 MS0 HG0 JK0 Rita0 10 11 12 13 14 T2 15 MS1 HG1 JK1 16 17 18 19 20 T7 21 MS2 HG2 JK2 22 23 24 25 26 T3 27 MS7 HG7 JK7 28 29 30 31 32 T6 33 MS3 HG3 JK3 34 35 36 37 MS6 HG6 JK6 4 5 6 11 14 15 1 53 39 45 9 11 5 4 3 2 1 16 44 4 7 7 6 4 3 4 6 12 15 16 2 36 18 48 38 56 4 4 5 5 7 14 4 5 6 1 1 4 2 2 2 13 15 16 21 3 41 47 5 43 14 7 1 3 4 2 10 15 19 22 25 28 30 22 24 8 50 10 32 40 20 4 12 4 4 3 5 2 1 5 1 6 13 18 22 28 29 17 31 15 25 61 55 29 9 2 2 2 17 11 1 3 1 14 15 21 24 28 29 17 34 16 27 22 14 30 3 1 1 4 2 2 5 - 34 - 3 8 13 10 12 10 6 3 7 2 3 6 7 1 2 3 8 5 1 7 9 10 12 16 23 21 23 21 21 20 5 3 3 9 7 1 1 6 7 3 2 1 5 1 6 5 8 10 13 11 12 11 11 8 7 3 1 5 6 7 6 9 2 3 2 7 9 11 14 22 23 23 23 22 8 0 6 4 4 8 3 7 8 3 1 5 9 17 22 10 10 12 10 8 1 2 5 2 3 1 8 2 5 1 8 14 6 5 4 12 18 19 20 23 20 22 22 23 7 5 1 9 1 10 6 4 3 9 12 17 20 24 29 12 12 12 11 11 12 6 9 5 6 7 8 3 2 2 8 12 6 5 4 7 8 16 18 21 23 26 27 21 22 23 22 20 21 21 20 2 0 8 2 6 0 6 4 6 15 1 6 3 7 2 5 15 23 26 10 10 12 10 10 4 2 1 9 3 5 17 6 4 3 4 5 1 10 4 3 10 20 21 24 25 27 20 21 22 20 22 21 3 5 5 9 7 1 16 6 12 13 9 16 17 23 27 11 11 11 12 11 9 4 5 4 2 12 11 10 3 6 4 13 12 4 6 12 22 25 26 20 23 20 21 22 21 2 2 8 8 6 4 13 16 5 3 Appendices 38 T8 39 6 14 19 22 28 29 17 31 15 25 61 55 29 40 41 42 43 44 45 46 47 T9 48 John8 Steve8 Lisa8 Rita8 14 Karen8 17 MS8 49 50 51 52 53 54 55 56 T10 57 John9 Steve9 Lisa9 Rita9 Karen9 MS9 58 59 John10 Steve1 0 Rita10 16 Karen1 0 MS10 60 61 62 20 4 8 13 1 1 7 2 2 2 13 19 24 29 30 35 3 41 59 7 47 5 43 4 6 3 5 16 23 26 10 10 12 10 10 4 2 1 9 3 7 8 6 9 2 1 2 19 3 5 3 7 6 4 5 3 17 16 19 18 1 11 21 24 25 27 22 20 21 20 22 21 5 3 5 9 7 1 1 2 1 8 6 5 18 7 1 2 6 8 22 8 18 3 4 20 5 9 17 27 31 36 10 10 11 11 12 10 8 1 6 2 2 5 4 12 15 22 32 33 34 23 20 22 20 22 22 23 7 5 3 7 1 9 1 5 7 2 3 11 2 3 14 16 7 8 15 2 7 6 6 3 20 1 10 9 2 13 15 1 19 18 16 3 2 2 4 11 14 15 16 22 24 32 39 42 44 24 34 16 27 24 8 40 20 4 2 4 1 2 1 4 1 - 35 - 5 12 1 1 14 1 1 10 17 18 31 34 38 43 11 11 11 12 12 11 12 9 4 5 6 9 7 8 5 14 10 11 1 4 2 3 6 5 21 20 6 12 3 17 19 18 3 1 5 9 13 29 30 37 40 41 21 20 23 20 21 22 21 21 20 8 2 2 8 2 0 0 6 4 3 12 5 4 1 5 2 5 15 17 3 Appendices Part 3 – Raw Subject Data for A, H, SA, and K Modalities (cell values are recall order in which subject recalled the given stimuli) Codes LA V Min 0 10 20 0 0 69 14 25 0 0 Max Column #'s 1 1 T0 2 3 4 5 6 7 8 T1 9 10 11 12 13 14 T2 15 LV A H SA K 69 39 55 59 9 0 9 10 43 59 65 0 0 9 0 3 43 44 45 46 47 # 49 50 51 52 53 # 55 56 57 58 59 Auditory Haptic Spatial-Auditory (A) (H) (SA) 61 62 63 64 65 Kinesthetic (K) 0 MS0 HG0 JK0 Rita0 0 MS1 HG1 JK1 3 11 0 96 74 16 17 18 19 20 T7 21 MS2 HG2 JK2 22 23 24 25 26 T3 27 MS7 HG7 JK7 28 29 30 31 32 T6 33 MS3 HG3 JK3 34 35 36 37 38 T8 MS6 HG6 JK6 8 9 15 16 2 7 1 6 0 71 75 7 11 1 4 14 0 80 76 98 14 15 11 9 10 15 14 1 10 19 0 89 87 95 1 14 40 40 2 9 15 12 11 9 7 10 55 56 4 1 4 5 13 10 12 6 8 62 62 3 8 6 7 10 9 13 11 3 40 3 9 11 8 14 40 1 10 12 4 56 2 7 13 9 5 11 62 62 1 3 11 9 10 13 9 40 7 12 13 6 12 40 5 13 14 13 55 7 8 14 10 19 41 2 11 12 5 3 8 16 55 55 56 1 2 0 7 16 15 16 7 11 17 62 62 62 3 6 7 10 8 9 8 7 7 8 2 8 18 55 55 56 6 3 4 5 4 14 13 11 10 5 11 20 62 62 62 3 5 1 14 15 15 9 8 8 1 9 7 9 2 14 3 7 13 40 40 40 5 6 4 7 6 12 10 11 7 6 8 2 7 15 10 13 20 - 36 - 4 9 17 8 12 18 Appendices 39 0 80 76 83 40 41 42 43 44 45 46 47 T9 48 John8 13 Steve8 3 Lisa8 20 Rita8 4 11 12 Karen8 14 15 16 MS8 13 14 49 50 51 52 53 54 55 56 T10 57 John9 15 13 14 Steve9 7 8 Lisa9 3 5 4 Rita9 4 10 Karen9 17 14 15 MS9 12 13 58 59 John10 12 Steve1 3 0 Rita10 2 Karen1 7 0 MS10 20 60 61 62 40 40 7 5 12 11 7 12 11 9 11 13 11 12 3 11 16 23 0 96 72 88 81 2 11 20 23 28 89 87 79 71 75 0 13 18 19 8 11 9 10 21 41 2 55 55 56 1 2 0 9 10 6 7 9 17 10 17 9 10 6 7 5 62 3 3 4 14 16 20 9 1 14 21 28 40 40 40 40 2 9 1 6 12 11 5 4 6 9 9 7 8 19 8 9 10 7 10 20 26 55 56 55 56 4 1 5 3 10 12 10 11 12 8 3 9 10 4 5 6 8 18 25 62 62 62 62 3 8 7 4 8 9 13 20 19 18 17 12 11 13 13 12 11 6 7 4 7 14 25 36 40 41 40 40 40 5 1 6 3 0 15 3 8 19 26 35 55 55 56 56 56 6 3 4 2 3 10 11 9 7 6 8 6 12 21 27 33 61 62 62 62 61 5 5 1 7 4 7 6 9 8 4 5 11 12 10 19 20 7 6 18 17 14 16 15 16 10 12 - 37 - 8 7 8 9 15 16 9 6 62 62 6 7 4 5 5 15 13 15 19 21 10 8 14 13 14 23 22 13 10 13 11 12 Appendices Part 4 – Subject Recall Errors and Other Notes Codes LA V LV Min Max 0 10 20 0 0 69 14 25 0 0 A H SA K 69 39 55 59 9 0 9 10 43 59 65 0 0 9 0 Column #'s 1 3 66 67 68 69 70 71 72 73 74 75 76 77 78 79 1 T0 2 3 MS0 4 HG0 5 JK0 6 Rita0 7 8 T1 9 10 MS1 11 11 HG1 9 12 JK1 13 14 T2 15 16 MS2 22 11 10 48 4xx Ax Ax Didn't 4 8 7 x x understand to also remember A,K,H,SA 17 HG2 S didn't know to key for all modalities 18 JK2 19 20 T7 21 0 22 MS7 6xx 87 89 7x 16 48 23 HG7 Ax rattled recent ones, used repetition, x? consolidated 24 JK7 11 11 4 2 25 26 T3 27 0 28 MS3 21 62 7x 48 5 11 3 5 8 8 1 29 HG3 55 1min 50sec presentation 8 30 JK3 kitchen used story techniques 31 32 T6 33 0 34 MS6 56 4xx 7x 23 - -40 1 3 21 6 35 HG6 55 62 1 6 - 38 - Appendices 36 37 38 T8 39 40 JK6 98 41 Steve8 42 Lisa8 43 Rita8 44 45 Karen8 MS8 46 47 T9 48 49 John9 50 51 Steve9 Lisa9 52 Rita9 53 Karen9 54 MS9 0 John8 44 0 55 56 T10 57 #REF! 58 John10 Steve1 59 0 60 Rita10 61 62 Motions kind of stuck ran MUCH environmental ch distraction 40 1 55 7 S was VERY precise in recall Ax 11 48 x 5 Karen1 0 MS10 55x 55x Tried focusing on written words 40 55 5 7 55 7 12 S was 1 VERY precise in recall 55x 55x Ax Ax 80 x x 7 55 7 40 9 55x - 39 - Appendices Appendix G – Normalization Formula for Calculating Serial Recall Probabilities Calculating the recency and primacy recall probabilities required normalizing all the separate modality recall data to each other. The number of stimuli items for each modality varied from trial run to trial run, and in the case of V, LV, and LA, also varied among these modalities within a given trial run. For example, in trial run T9, there were seven LA and seven LV items, six V items, and four for each of the other modalities. This meant that each modality had a varying number of items presented which differed across trial runs. Calculating the probability that the ith item presented for modality m, required normalizing the length of all the differing modality sequences. The normalization formula employed was: P(m,I) = (Tt) [ (Nts)(R(m,I,t,s) Cmt ) ] / (Tt)(Cmt Nt) Where The notation (Tt) means the sum across T things using index parameter t. P(m,I) = probability, across all trial runs and across all subjects, that the item at interval location I was correctly recalled for modality m. I varies from 0 to 1 and is a unit measure of item sequence length to which all modality sequence lengths were mapped (i.e. I=0.5 means halfway through a sequence of stimuli). P(m,I) is analogous to providing the probability that the Ith stimuli was correctly recalled in the sequence of items presented for modality m. R(m,I,t,s) = 1, if the stimuli for modality m at serial location I was correctly recalled for subject s on trial run t; else 0. T = Total number of trial runs. Nt = Number of subjects on trial run t. Cmt = Count of number of stimuli items in modality m for trial run t. Appendices Appendix H – Tabulated Recency and Primacy Data The tabulated recency and primacy data is given below. The probability calculations are as given in another appendix. Table values are probability that an item in the given serial position was recalled. Serial recall position (I) is given by the first row in each table and is expressed as a percentage. For example, from the LV row in Table 1, a value of 0.34 for the 75% column means there was an agregated probability of 0.34 that an LV item located 75% of the way through a stimuli list was recalled by a subject. The percentage method was used so as to be able to equate the differing lengths of the various stimuli lists. The data in the tables below are only for IM values of three, four and five (i.e., trial runs T3, T6, T8, T9, and T10) because shorter IM lengths unduly bias the results due to quantization effects. For example, a stimuli list with only two items on it – IM=2 – is dubious to use for assessing recency or primacy (even IM=3 seems doubtful, but it did seem to produce measurable effects). Table 1 – Probability that an item was recalled given its location in the serial recall sequence. I 5% 10% 15% 20% 25% 30% 35% 40% 45% 50% 55% 60% 65% 70% 75% 80% 85% 90% 95% LV LA V A H K SA Tota l V +LV +LA LA +LV A+ H+K +SA A4-5 H45 K4-5 SA4 -5 Tota l4-5 0.32 0.32 0.71 0.96 0.81 0.52 0.78 0.63 0.64 0.32 0.71 0.96 0.81 0.52 0.78 0.68 0.48 0.29 0.71 0.96 0.81 0.52 0.78 0.65 0.41 0.23 0.67 0.96 0.81 0.52 0.78 0.63 0.26 0.21 0.58 0.75 0.74 0.73 0.71 0.57 0.26 0.21 0.56 0.59 0.52 0.78 0.66 0.51 0.14 0.11 0.56 0.59 0.52 0.78 0.66 0.48 0.14 0.14 0.45 0.55 0.44 0.86 0.66 0.46 0.12 0.17 0.48 0.68 0.37 0.73 0.52 0.44 0.16 0.2 0.52 0.68 0.37 0.73 0.52 0.45 0.16 0.14 0.47 0.74 0.53 0.67 0.52 0.46 0.12 0.14 0.56 0.74 0.53 0.67 0.52 0.47 0.22 0.41 0.47 0.67 0.74 0.74 0.73 0.57 0.17 0.68 0.47 0.55 0.7 0.74 0.73 0.58 0.34 0.77 0.44 0.55 0.7 0.74 0.73 0.61 0.38 0.63 0.43 0.55 0.7 0.79 0.56 0.58 0.45 0.56 0.49 0.44 0.35 0.34 0.27 0.24 0.26 0.29 0.26 0.27 0.37 0.44 0.52 0.48 0.53 0.57 0.71 0.55 0.7 0.86 0.42 0.62 0.53 0.58 0.86 0.55 0.7 0.86 0.42 0.64 0.48 0.69 0.86 0.55 0.7 0.86 0.42 0.65 100 % 0.45 0.72 0.86 0.55 0.7 0.86 0.42 0.65 0.6 0.65 0.68 0.68 0.32 0.48 0.38 0.32 0.23 0.23 0.12 0.14 0.14 0.18 0.15 0.13 0.32 0.42 0.56 0.51 0.55 0.55 0.59 0.59 0.77 0.77 0.77 0.77 0.73 0.64 0.64 0.63 0.58 0.58 0.62 0.62 0.72 0.68 0.68 0.65 0.63 0.63 0.63 0.63 1 1 1 1 0.63 0.33 0.33 0.33 0.58 0.58 0.68 0.68 0.55 0.55 0.55 0.55 0.55 0.55 0.55 0.55 0.65 0.65 0.65 0.65 0.53 0.13 0.13 0.13 0 0 0.3 0.3 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.68 0.43 0.43 0.43 0.43 0.8 0.9 0.9 0.9 0.65 0.65 0.55 0.55 0.68 0.68 0.68 0.78 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.9 0.78 0.68 0.68 0.68 0.43 0.43 0.43 0.43 0.8 0.8 0.8 0.5 0.25 0.25 0.25 0.25 0.74 0.74 0.74 0.74 0.68 0.51 0.51 0.51 0.41 0.41 0.49 0.49 0.68 0.68 0.68 0.63 0.59 0.59 0.59 0.59 - 41 - Appendices Appendix I – Raw Recency and Primacy Data Table 2 - Following is the raw primacy/recency data. LV 5 1 1 1 1 1 1 1 1 1 LV LV LA Interval I is given by the first row below (0 -> 100). 10 15 20 25 30 35 40 45 50 55 60 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 65 70 1 75 80 85 90 95 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 # items # subj 6 4 T0 6 6 5 3 T1 5 5 3 T2 5 8 3 T7 8 6 3 T3 6 6 3 T6 6 6 6 5 T8 6 6 6 6 7 5 T9 7 7 9 4 T10 9 9 33 0.6 0.6 0.5 0.4 0.2 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.1 0.3 0.3 0.5 0.5 0.4 0.45 36 36 15 55 73 73 52 52 21 52 52 21 42 82 64 94 15 15 85 5 0.7 0.7 0.7 0.4 0 0 0 0.1 0.1 0.1 0.1 0.1 0.4 0.2 0.4 0.4 0.5 0.7 0.7 0.71 14 14 14 29 43 43 43 43 43 29 86 29 29 71 14 14 4 0.6 0.6 0.4 0.4 0.2 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.1 0.3 0.3 0.5 0.5 0.4 0.44 42 42 79 14 6 6 4 4 16 58 58 16 23 67 44 81 26 26 84 7 0.6 0.6 0.4 0.4 0.2 0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.2 0.1 0.3 0.3 0.5 0.5 0.4 0.43 27 27 68 05 55 55 36 36 14 55 55 14 18 64 36 73 14 14 73 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - 42 - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 7 7 7 7 7 7 7 5 5 8 4 T0 3 T1 3 T2 3 T7 Appendices 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 8 8 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 3 T3 3 T6 5 T8 5 T9 4 T10 33 LA LA V 0.3 0.3 0.3 0.2 0.2 0.2 0.1 0.1 0.1 0.2 0.1 0.1 0.3 0.6 0.7 0.6 0.5 0.5 0.6 0.69 33 33 03 42 12 12 21 52 82 12 52 52 94 67 58 36 76 76 67 7 0.4 0.4 0.4 0.4 0.4 0.4 0.1 0.1 0.1 0.1 0.1 0.1 0.8 0.8 0.8 0.5 0.5 0.7 0.5 0.57 29 29 29 29 29 29 43 43 43 43 43 43 57 57 57 71 71 14 71 1 0.3 0.3 0.2 0.2 0.2 0.2 0.1 0.1 0.1 0.2 0.1 0.1 0.4 0.6 0.7 0.6 0.5 0.5 0.6 0.72 21 21 85 31 08 08 09 36 72 04 4 4 07 79 69 33 75 79 88 4 5 1 1 1 1 1 1 1 1 1 1 1 10 1 1 1 1 1 1 1 1 1 1 1 15 1 1 1 1 1 1 1 1 1 1 1 20 1 1 1 1 1 1 1 1 1 1 1 25 1 1 1 1 1 1 1 1 1 1 1 30 1 1 1 1 1 1 35 1 1 1 1 1 1 40 1 1 45 1 1 50 1 1 55 1 1 60 1 1 65 1 1 70 1 1 75 1 1 1 80 1 1 1 85 1 1 1 90 1 1 1 95 1 1 1 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - 43 - 3 3 3 3 4 4 4 4 4 4 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 4 T0 3 T1 3 T2 3 T7 3 T3 3 T6 5 T8 5 T9 Appendices 1 1 V V A 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 4 T10 7 7 7 33 0.7 0.7 0.7 0.7 0.6 0.6 0.6 0.4 0.5 0.5 0.4 0.5 0.4 0.4 0.4 0.4 0.7 0.8 0.8 0.84 58 58 58 27 36 06 06 85 15 45 85 45 55 55 55 55 27 48 48 8 1 1 1 1 1 0.8 0.8 0.5 0.5 0.5 0.4 0.4 0.4 0.4 0.5 0.5 0.5 0.5 0.5 0.57 57 57 71 71 71 29 29 29 29 71 71 71 71 71 1 0.7 0.7 0.7 0.6 0.5 0.5 0.5 0.4 0.4 0.5 0.4 0.5 0.4 0.4 0.4 0.4 0.7 0.8 0.8 0.85 13 13 13 71 81 57 57 49 79 21 73 57 67 67 43 25 07 56 56 6 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 20 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 25 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 30 1 1 1 1 1 1 1 1 1 1 1 1 35 1 1 1 1 1 1 1 1 1 1 1 1 40 1 1 45 1 1 50 1 1 55 1 1 60 1 1 65 1 1 70 1 1 75 1 1 80 1 1 85 1 1 90 1 1 95 1 1 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 3 T3 3 T6 5 T8 5 4 20 A A A4-5 H 0.9 0.9 0.9 0.9 0.8 0.6 0.6 0.6 0.7 0.7 0.7 0.7 0.7 0.5 0.5 0.5 0.5 0.5 0.5 0.55 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0.9 0.9 0.9 0.9 0.7 0.5 0.5 0.5 0.6 0.6 0.7 0.7 0.6 0.5 0.5 0.5 0.5 0.5 0.5 0.54 59 59 59 59 53 89 89 48 85 85 4 4 71 48 48 48 48 48 48 8 1 1 1 1 0.6 0.3 0.3 0.3 0.6 0.6 0.7 0.7 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 10 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 20 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 25 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 30 1 1 1 1 1 1 1 1 1 1 1 1 35 1 1 1 1 1 1 1 1 1 1 1 1 40 1 1 45 1 1 50 1 1 55 1 1 60 1 1 65 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - 44 - 70 1 1 1 1 1 75 1 1 1 1 1 80 1 1 1 1 1 85 1 1 1 1 1 90 1 1 1 1 1 95 1 1 1 1 1 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 3 T3 3 T6 5 T8 5 T9 4 T10 Appendices 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 20 H H H4-5 K 0.8 0.8 0.8 0.8 0.8 0.6 0.6 0.5 0.4 0.4 0.6 0.6 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 5 5 5 5 5 5 5 0.8 0.8 0.8 0.8 0.7 0.5 0.5 0.4 0.3 0.3 0.5 0.5 0.7 0.6 0.6 0.6 0.6 0.6 0.6 0.69 08 08 08 08 4 21 21 38 7 7 34 34 4 99 99 99 99 99 99 9 0.7 0.7 0.7 0.7 0.5 0.1 0.1 0.1 0 0 0.3 0.3 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.7 5 1 10 1 15 1 20 1 25 1 30 1 35 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 40 1 1 1 1 1 1 1 1 1 45 1 1 1 1 1 1 1 1 1 50 1 1 1 1 1 1 1 1 1 55 1 1 1 1 1 1 1 1 1 60 1 1 1 1 1 1 1 1 1 65 1 1 1 1 1 1 1 1 1 70 1 1 1 1 75 1 1 1 1 80 1 1 1 1 85 1 1 1 1 90 1 1 1 1 95 1 1 1 1 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 3 T3 3 T6 5 T8 5 T9 4 T10 20 K K4-5 SA 0.5 0.5 0.5 0.5 0.7 0.7 0.7 0.8 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.8 0.8 0.8 0.8 0.85 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0.5 0.5 0.5 0.5 0.7 0.7 0.7 0.8 0.7 0.7 0.6 0.6 0.7 0.7 0.7 0.7 0.8 0.8 0.8 0.86 21 21 21 21 26 81 81 63 26 26 71 71 4 4 4 95 63 63 63 3 0.4 0.4 0.4 0.4 0.8 0.9 0.9 0.9 0.7 0.7 0.6 0.6 0.7 0.7 0.7 0.8 0.9 0.9 0.9 0.9 5 1 10 1 15 1 20 1 25 1 30 1 35 1 40 1 1 45 1 1 50 1 1 55 1 1 60 1 1 65 1 1 70 1 75 1 80 1 85 1 90 1 95 1 96 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 3 T3 3 T6 5 T8 5 T9 4 T10 20 - 45 - Appendices SA SA SA45 0.7 0.7 0.7 0.7 0.7 0.6 0.6 0.6 0.5 0.5 0.5 0.5 0.7 0.7 0.7 0.5 0.4 0.4 0.4 0.45 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0.7 0.7 0.7 0.7 0.7 0.6 0.6 0.6 0.5 0.5 0.5 0.5 0.7 0.7 0.7 0.5 0.4 0.4 0.4 0.42 81 81 81 81 12 58 58 58 21 21 21 21 26 26 26 62 25 25 25 5 0.9 0.9 0.9 0.9 0.8 0.7 0.7 0.7 0.4 0.4 0.4 0.4 0.8 0.8 0.8 0.5 0.3 0.3 0.3 0.3 - 46 - Appendices Appendix J – Clustering of Subject Responses This appendix lists the data for how subjects clustered their recall by modality (clustering means recalling items in sequence from the same modality even though those items were not presented in sequence). Clustering is evidence that a subject strongly associated items in a cluster and can be taken as evidence of a form of categorization. An item was considered clustered if it was recalled in sequence with another item in the same modality. This data was not reported in the body of the paper. Table 1 – Total number of clustered responses by modality #M = # of AHKSA modality items per Trial Run N = # of subjects IC = # of items for given modality within given trial run R = # correctly recalled items within the given trial run CL = # of responses which were clustred in sequence during recall IM T0 T1 T2 T7 T3 T6 T8 T9 T10 N 0 0 2 2 3 3 3 4 5 4 3 3 3 3 3 5 5 4 V LV LA A H K SA IC R CL IC R CL IC R CL R CL R CL R CL R CL 3 9 4 6 9 4 7 11 7 4 7 5 5 6 2 7 11 7 4 11 7 5 4 0 5 5 0 6 4 4 2 6 4 5 2 6 8 5 8 6 0 8 9 7 2 0 5 4 4 2 6 6 5 11 8 6 4 0 6 9 6 7 6 8 8 7 7 4 2 5 8 5 6 4 0 6 7 7 8 7 8 8 4 2 6 6 5 18 13 6 16 9 6 10 6 10 7 12 11 14 14 11 9 6 13 6 7 15 8 7 11 2 13 10 10 7 14 14 10 7 7 15 7 9 7 0 8 8 4 12 11 9 8 14 13 14 14 Table 2 – Percentage of responses which were clustered. V LV LA A H CLr Rr CLr Rr CLr Rr Clr Rr Clr Rr 44% 75% 44% 38% 64% 39% 71% 58% 33% 40% 64% 52% 64% 92% 0% 27% 0% 33% 67% 100% 50% 67% 63% 44% 0% 25% 78% 38% 0% 33% 80% 83% 73% 73% 0% 22% 67% 50% 86% 78% 100% 89% 63% 53% 0% 22% 100% 39% 88% 89% 100% 89% 72% 72% 56% 53% 60% 33% 70% 67% 92% 80% 46% 43% 53% 43% 18% 31% 77% 65% 70% 50% 47% 54% 0% 19% 50% 25% 92% 60% 89% 45% Aver 59% 62% 25% 34% 54% 37% 55% 54% 65% 55% age: - 47 - K Clr Rr SA Clr Rr 67% 100% 40% 83% 50% 67% 100% 100% 100% 78% 50% 44% 50% 44% 100% 67% 100% 93% 82% 73% 100% 70% 70% 50% 93% 70% 100% 70% 66% 59% 61% 54%