IV. Successive
        Same-Different Discrimination 
        Thus far, we have discussed the pigeon's classification of
        variability for simultaneously presented array of icons. It was
        possible that pigeons may be successful at extracting variability
        within an array of icons, but be incapable of extracting
        the variability present within a list of icons. Perceiving
        array variability makes no memory demands and leverages the perceptual
        system's ability to determine whether two or more items are the
        same or different from one another. Perceiving list variability
        makes significant memory demands (only one of the items is present
        at any moment) and relies on the cognitive system to compare
        a viewed item with one or more items that are stored in memory.
        Thus, the classification of list variability may be far more
        difficult than the classification of array variability.
        We initially trained pigeons to discriminate lists of 16 identical
        icons from lists of 16 different icons, where Same lists involve
        minimal variability and Different lists involve maximal variability
        (Young, Wasserman, & Dalrymple, 1997). Pigeons were subsequently tested with
        novel lists consisting of all new icons (a transfer test) and
        novel lists consisting of (a) mixtures of same and different
        icons in various temporal locations within the list or (b) different
        numbers of same and different items (Young et al., 1999). Through
        the systematic exploration of the pigeon's responding to these
        novel lists, we sought to determine the effective stimulus that
        was controlling the pigeons' same-different report responses.
        The successive version of the same-different task required
        that the pigeon peck once at each of the 16 icons in the list
        before the next icon was displayed. The simultaneous version
        of the task required that the pigeon peck 16 times anywhere on
        the 7 cm x 7 cm display. Forty-eight highly distinguishable Macintosh
        icons were chosen as the total item pool; these icons were randomly
        sorted into three sets of 16 icons each (Set 1, Set 2, and Set
        3), and from these three 16-icon sets, 16-icon lists were constructed.
        For any given Same list, a single icon from the appropriate set
        was randomly chosen and used to make up a list of 16 identical
        icons. For the Different arrays, all 16 of the icons of a set
        were used with no repetitions. The 16 same or 16 different icons
        were randomly distributed over 25 locations in a 5 x 5 grid.
        During training, pecks to the green button on Same trials
        or to the red button on Different trials were correct and were
        reinforced with food; pecks to the red button on Same trials
        or to the green button on Different trials were incorrect and
        were punished by repetition of the trial until the correct response
        was made. Button color was reversed for half of the subjects.
        A Java
        applet is available on-line that demonstrates the task (with
        you playing the part of the pigeon). There are some differences
        between the on-line task and the actual task (e.g., the Java
        script alternates Same and Different trials for demonstration
        purposes, whereas the original program used block randomization);
        consult Young, Wasserman, and Dalrymple (1997) for procedural details.
        Four pigeons were initially trained to discriminate 16-icon
        lists constructed from either Set A or Set B (reaching an 85%
        performance criterion) and were later tested with lists constructed
        from a second set (Set B or Set A, respectively). In our group
        of four pigeons, initial acquisition of same-different responding
        was rapid (averaging 35 days), but we did not observe strong
        transfer to novel 16-item lists; accuracy on training lists averaged
        92% correct, but only 57% correct on new testing lists that were
        created from 16 untrained icons. The pigeons were given further
        training with lists comprising icons from either Set A or Set
        B in an attempt to produce a more generalizable concept and were
        then tested with lists constructed from a third set (Set C).
        Acquisition of the same-different discrimination for the new
        set (Set A or Set B) was very rapid (averaging 11 days), and
        we now observed strong transfer to the novel 16-item lists constructed
        from Set C; accuracy averaged 94% correct on training lists and
        73% correct on the new testing lists. This finding closely corresponds
        with other research on natural and abstract conceptualization
        by both humans and nonhumans showing that larger sets of training
        stimuli promote stronger generalization performance (see Wasserman,
        1993 for a review).
        This experiment therefore contributed an unprecedented finding:
        namely, memory-based conceptualization by a nonhuman animal.
        Unlike all previously reported results, successive same-different
        discrimination had to be based on the bird's remembering 1 or
        more of the 16 icons that had been presented in a list. Although
        this result was remarkable, we were interested in whether the
        addition of memory demands had produced a fundamental change
        in how the pigeon solved this successive same-different discrimination:
        would entropy explain these results or was the pigeon relying
        on one ore more discriminative processes?
        Mixture
        Manipulations 
        In Experiment 1 of Young et al. (1999),
        we tested 16-item lists comprising either 1, 2, 4, 8, or 16 different
        types of icons. Furthermore, these icon types were temporally
        organized in different ways to produce differences in the number
        of transitions between icons. For example, a list comprising
        4 icon types could be one of the following: aaaabbbbccccdddd,
        aabbccddaabbccdd, or abcdabcdabcdabcd with 3, 7,
        or 15 transitions, respectively (each letter in the list represents
        a randomly chosen icon type). The results revealed that increasing
        the number of icon types led to more "different" responses
        and that temporally distributing those different types of items
        (i.e., increasing the number of transitions) increased the likelihood
        of a 
 "different" response (Figure 10).
        Because entropy predicts that variability is a function of the
        number and distribution of icon types, but that the temporal
        distribution of the icons should have no effect on performance,
        these results suggest that entropy (as previously applied to
        simultaneous arrays) is not a complete account of successive
        same-different discrimination performance.   
        In Experiment 2A, we more fully investigated
        the role of time on our pigeons' same-different discrimination
        behavior. We anticipated that items at the end of the list would
        have a greater influence on pigeons' behavior than items at the
        beginning of the list (a recency effect). To test this idea,
        we used lists containing a mixture of same and different items
        wherein the same items all occurred at the beginning of the list
        (with the different items occurring at the end of the list) or
        the same items all occurred at the end of the list (with the
        different items occurring at the beginning of the list). For
        example, a "same-first" mixture list comprising a mixture
        of 8 
 same items and 8 different items would be presented as aaaaaaaabcdefghi.
        A pigeon more influenced by later items than by earlier items
        would be expected to respond different more often to that list
        (where the different items are all at the end of the list) than
        to abcdefghiiiiiiii (where the same items are all at the
        end of the list). This is precisely what we observed (Figure 11).
        Experiment 2A thus documented a strong
        recency effect on our pigeons' behavior. It was possible that
        a primacy effect could also have been in operation, but that
        this effect was much weaker than the observed recency effect.
        We examined this possibility in Experiment 4 by using tests in
        which a set of 4 different items appeared either at the beginning,
        in the middle, or at the end of a list otherwise containing same
        items (we also used lists in which a set of same items occurred
        at various positions within a list of different items, but the
        effect of 4 same items had no significant effect on choice behavior
        in any of the temporal positions).
        Our analyses revealed a strong recency
        effect, but no primacy effect in our task.
        It is apparent that memory was affecting
        our pigeons' same-different list discrimination. In Experiment
        3, we manipulated the amount of time between each icon in the
        list. We observed a decrease in performance accuracy for Same
        and Different lists as the interstimulus interval increased.
        This result is consistent with pigeons' failing to remember all
        of the list items.
        If the pigeons were not remembering all of the list items,
        then the entropy of the entire list should not (and did
        not) account for the birds' discriminative behavior. Extending
        our behavioral account by including the presence of memory processes
        thus had the potential of explaining the data; perhaps the pigeons
        were still using entropy as the discriminative stimulus, but
        entropy was computed only on those items that were recalled
        at choice time. Further tests revealed that this simple extension
        was insufficient.
        List Length
        Manipulations 
        In Experiments 2A, we tested the birds
        with same and different lists involving either 2, 4, 8, 12, or
        14 items. In Experiments 2B, we tested the birds with same and
        different lists involving either 2, 4, 8, 12, 20, or 24 items.
        We found that increasing the number of list items raised discrimination
        accuracy on both same and 
 different trials (Figure 12).
        This result has an important implication. The systematic effect
        of list length on same lists indicates that entropy is an insufficient
        account of our pigeons' same-different list discrimination. Any
        recalled subset of a same list will always have an entropy of
        0.0. If choice behavior were solely a function of the entropy
        of recalled items, then the birds should have pecked at the "same"
        key for all of the same lists regardless of their length; this
        result would parallel that observed in pigeons trained with the
        simultaneous same-different discrimination. We did not, however,
        observe an asymmetry in the effects of list length on same and
        different trials; accuracy approached chance for both same and
        different lists when list length was decreased. We believe that
        these results implicate an evidence accumulation process.   
        One
        vs. Three Mechanisms
        Our analysis of the pigeons' discrimination
        of variability in simultaneously presented arrays of items provided
        strong evidence that the variability in list items had
        a strong effect on the choice behavior of our subjects. Similar
        examinations of the pigeons' discrimination of variability in
        successively presented lists of items provided strong evidence
        that the entropy of the list's items was an insufficient explanation
        of the choice behavior of our subjects. An account of the successive
        same-different discrimination appears to require two additional
        processes: a memory mechanism (wherein the likelihood
        of an item being recalled is a direct function of its recency)
        and an evidence accumulation mechanism (wherein more list
        items produce more definitive choice behavior). A computational
        account involving all three mechanisms was successful in accounting
        for a much higher proportion of the variance in our pigeons'
        behavior (89% variance accounted for) than an account that included
        only entropy (68% variance accounted for).
        We next considered whether the account
        offered here for lists of successively presented icons could
        be applied to the previous experiments involving arrays of simultaneously
        presented icons; such an integration would provide a parsimonious
        account of the pigeon's behavior in two very different tasks.
        Pigeons' behavior in the simultaneous
        same-different discrimination involved a series of pecks at the
        presented icons (pigeons in the simultaneous task are routinely
        required to peck at the array between 20 and 30 times). This
        pecking behavior could be functionally equivalent to viewing
        a list of icons, with each peck at an icon being equivalent to
        viewing a single icon in a list. The sampling of icons in the
        simultaneous array is under the control of the pigeon, however,
        not the experimenter; thus, nothing prevents the pigeon from
        pecking at 1 icon 30 times rather than at 15 icons 2 times. The
        pigeons' successful discrimination of simultaneous same arrays
        from simultaneous different arrays (Young & Wasserman, 1997)
        suggests, however, that the pigeons are sampling more than a
        single icon in the display.
        Under the assumption that each peck
        samples a single icon, each "list" of icons that is
        produced by sequential pecking at a simultaneous array would
        constitute 30 items (under an FR 30 schedule) and thus be equated
        for accumulated evidence. In addition, item memory would be factored
        out because there would be no control of when or how long a pigeon
        viewed each item (thus making item memory a random factor). These
        methodological differences leave list variability as the only
        factor of our three-factor model that could account for discriminative
        performance in the simultaneous same-different task. And, indeed,
        a metric of list variability, entropy, was documented to be an
        excellent predictor of such performance.
        This integration of the two discrimination
        tasks assumes that pigeons sequentially process the icons in
        simultaneous displays; but, this assumption may not be completely
        correct. It is possible that pigeons view and process collections
        of array items in a simultaneous display. To best determine the
        extent to which our account of successive same-different discrimination
        can be extended to simultaneous same-different discrimination,
        it would be necessary to conduct studies involving the manipulation
        of evidence (e.g., by decreasing the FR requirement for some
        test trials) and the manipulation of item memory (e.g., by removing
        items from the display as they are pecked) in a simultaneous
        same-different task. The integration of pigeons' performance
        on these two discriminations is an intriguing possibility that
        we will likely pursue. 
        
        Next section: Conclusions