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  • Semantic Processes in Preferential Decision Making
  • Sudeep Bhatia
    Online First Publication, July

    1

    9, 2018. http://dx.doi.org/10.1037/xlm0000618

    CITATION
    Bhatia, S. (2018, July 19). Semantic Processes in Preferential Decision Making. Journal of
    Experimental Psychology: Learning, Memory, and Cognition. Advance online publication.
    http://dx.doi.org/10.1037/xlm0000618

    Semantic Processes in Preferential Decision Making

    Sudeep Bhatia
    University of Pennsylvania

    This article examines how semantic memory processes influence the items that are considered by
    decision makers in memory-based preferential choice. Experiments 1A through 1C ask participants to list
    the choice items that come to their minds while deliberating in a variety of everyday choice settings.
    These experiments use semantic space models to quantify the semantic relatedness between pairs of
    retrieved items and find that choice item retrieval displays robust semantic clustering effects, with
    retrieved items increasing the retrieval probabilities of related items. Semantic clustering can be
    disassociated from the effect of item desirability and can lead to inefficiencies such as the consideration
    and evaluation of undesirable items early on in the decision. Experiments 2A through 2C use a similar
    approach to study the effects of contextual cues on item retrieval and find that decision makers are biased
    toward retrieving choice items that are semantically related to the choice context. This effect is usually
    strongest early on in deliberation and weakens as additional items are retrieved. Overall, the results
    highlight the role of semantic memory processes in guiding the generation of memory-based choice sets,
    and illustrate the value of semantic space models for studying preferential decision making.

    Keywords: decision making, semantic memory, semantic clustering, preregistration, open science

    Preferential decision making involves the selection of a favored
    item from a set of feasible choice items. Most experiments on
    preferential decision processes explicitly present a choice set to
    participants. Correspondingly, psychological theories of decision
    making have been concerned primarily with how decision makers
    choose between such an exogenously determined set of items, that
    is, the decision rules they use to evaluate these items, as well as the
    effects of the composition of the choice set, and other related
    contextual factors, on their choices (Busemeyer & Rieskamp,
    2014; Oppenheimer & Kelso, 2015).

    However, many common decision scenarios do not involve a
    fixed, exogenous set of choice items. Rather, decision makers must
    construct such choice sets by themselves, typically through the use
    of memory processes (see Alba & Hutchinson, 1987; Lynch &
    Srull, 1982 for early discussions). Consider, for example, the task
    of planning what to eat, buying a gift for a friend or family
    member, or deciding on a vacation destination. In such settings, the
    set of items that decision makers choose between is determined by
    the set of items that comes to their mind. Decision makers may be
    exposed to various external information sources, but in the absence
    of such information, the items that do come to mind, and thus form
    the choice set, are the items that are successfully retrieved from
    memor

    y.

    The key role of memory in generating choice sets in common
    choice tasks raises a number of important questions at the inter-

    section of memory and decision making research. From a theoret-
    ical perspective: What are the mechanisms that determine the
    items that are retrieved by decision makers when exogenous
    choice sets are not provided? How do these mechanisms relate to
    core memory processes known to play a role in nonpreferential
    choice tasks, and do these memory processes facilitate or hinder
    efficient memory retrieval for decision making? Practically, can
    the mechanisms at play in memory-based decision making be
    tested? The set of retrieved choice items in everyday decision
    making tasks is completely unconstrained—any choice item can
    come to mind, and the items that do come to mind often lack a
    clear category structure. So how can the relationship between the
    various retrieved items, and between these items and other relevant
    variables (such as choice context), be quantified?

    In this article, I attempt to address these questions using existing
    insights on human memory. The task of retrieving a feasible set of
    choice items from memory has similarities to well-studied memory
    tasks such as free recall and free association. Thus it is likely that
    both the mechanisms that guide retrieval in these tasks, as well as
    the effects generated by these mechanisms, carry over to the
    domain of preferential decision making. For example, as with free
    recall and free association, the generation of memory-based choice
    sets may involve associative activation processes (Anderson, Both-
    ell, Lebiere, & Matessa, 1998; Atkinson & Shiffrin, 1968; Hintz-
    man, 1984; Polyn, Norman, & Kahana, 2009). This would cause
    memory-based choice sets to display semantic clustering, with
    retrieved items increasing the retrieval probability of other seman-
    tically related items (Bousfield & Sedgewick, 1944; Gruenewald
    & Lockhead, 1980; Howard & Kahana, 2002; Romney, Brewer, &
    Batchelder, 1993). For this reason, one would also expect retrieved
    items to depend on contextual cues, such as choice context, with
    items that are semantically related to these cues being more likely
    to be retrieved (Hare, Jones, Thomson, Kelly, & McRae, 2009;

    Funding for Sudeep Bhatia was received from the National Science
    Foundation grant SES-1626825.

    Correspondence concerning this article should be addressed to Sudeep
    Bhatia, Department of Psychology, University of Pennsylvania, D22 Sol-
    omon Labs, 3720 Walnut Street, Philadelphia, PA 19104. E-mail:
    bhatiasu@sas.upenn.edu

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    Journal of Experimental Psychology:
    Learning, Memory, and Cognition

    © 2018 American Psychological Association 2018, Vol. 1, No. 999, 000
    0278-7393/18/$12.00 http://dx.doi.org/10.1037/xlm0000618

    1

    mailto:bhatiasu@sas.upenn.edu

    http://dx.doi.org/10.1037/xlm0000618

    Moss, Ostrin, Tyler, & Marslen-Wilson, 1995; Nelson, McEvoy,
    & Schreiber, 2004).

    Moreover, it may also be possible to apply the methodological
    tools developed to study memory processes in free recall and free
    association tasks to the domain of preferential choice. For exam-
    ple, memory researchers have previously used semantic space
    models (e.g., Jones & Mewhort, 2007; Landauer & Dumais, 1997)
    to evaluate the semantic relatedness between items, and between
    items and contextual cues (e.g., Hills, Jones, & Todd, 2012;
    Howard & Kahana, 2002). The power and generalizability of these
    models implies that they could also be used to describe the se-
    mantic relationships at play when decision makers are asked to
    generate choice sets from memory.

    Of course, it may also be possible that the types of memory
    processes outlined in the preceding text play only a small role, or
    no role whatsoever, in preferential choice. After all, making pref-
    erential choices requires the selection of items based on their
    desirability, and decision makers may be adept at retrieving only
    the most desirable items from their memories, ignoring semantic
    structure. It may even be possible that desirability-based retrieval
    leads to the appearance of semantic clustering, implying that the
    effect of desirability must be carefully controlled for when ana-
    lyzing retrieval dynamics.

    In either case, the study of semantic memory processes in
    memory-based choice is necessary for building richer, more com-
    prehensive, and more generalizable theories of preferential choice.
    It can also facilitate the deeper integration of research on memory
    and research on decision making, two important but separate areas
    of investigation in psychology. Finally, the study of memory-based
    choice can be used to determine whether or not memory processes
    lead to efficient decision making, and in turn, can generate prac-
    tical insights about how to improve the choices of individuals.

    The goal of this article is to perform such a study. For this
    purpose, it presents the results of six preregistered experiments
    investigating the effect of semantic structure when decision mak-
    ers are asked to deliberate about preferential choice items in the
    absence of exogenously provided choice sets. Experiments 1A
    through 1C test for semantic clustering in such memory-based
    choice sets. These experiments also examine the relationship be-
    tween retrieval dynamics and choice item desirability. Experi-
    ments 2A through 2C expand on this work by considering the
    impact of choice context on the generation of memory-based
    choice sets. Both sets of experiments use semantic space models to
    quantify the semantic relatedness between pairs of items and
    between items and the choice context, thereby allowing for a
    rigorous analysis of the effects of semantic structure in an other-
    wise unconstrained choice item domain.

    Retrieving Items From Memory

    The study of how individuals retrieve items from memory has a
    long history in psychological research. Memory retrieval has been
    examined using a wide variety of different tasks, including free
    recall from lists, free recall of natural categories, and free associ-
    ation. In the first task individuals are presented with a list of items
    (usually common words) and are asked to recall all the items on
    the list that they are able to. In the second task, individuals are not
    given a list, but are rather ask to list all exemplars of a given
    category (e.g., “animals”) that they can think of. In the third task,

    individuals are merely asked to list all the items that come to their
    mind as they are presented with a specific prompt (e.g., “dog”; see
    Kahana, 2012 for a comprehensive review).

    These three tasks shed light on the organization of memory, and
    suggest a major role for semantic memory processes in item retrieval.
    For example, free recall and free association tasks are vulnerable to
    semantic clustering effects according to which items that are similar to
    each other are retrieved alongside each other (Bousfield & Sedge-
    wick, 1944; Gruenewald & Lockhead, 1980; Howard & Kahana,
    2002; Howard, Jing, Addis, & Kahana, 2007; Romney et al., 1993;
    Wixted & Rohrer, 1994). Additionally, varying contextual cues, such
    as prompts in free association tasks, can bias retrieval in favor of items
    that are semantically similar to the prompt (Hare et al., 2009; Moss et
    al., 1995; Nelson, McEvoy, & Dennis, 2000; Roediger, Watson,
    McDermott, & Gallo, 2001). These effects are often modeled using
    theories of associative memory (Anderson et al., 1998; Atkinson &
    Shiffrin, 1968; Hintzman, 1984; Polyn et al., 2009). According to
    these theories memory is probed with cues that activate closely
    associated items. As items are retrieved, they themselves cue subse-
    quent retrieval, leading to semantic clustering and other complex
    dynamics.

    The types of tasks used in the aforementioned work closely
    mimic common decision scenarios in which decision makers have
    to choose between items in the absence of exogenous choice sets
    (Alba & Hutchinson, 1987; Lynch & Srull, 1982). If similar
    memory mechanisms are at play in both settings, then many of the
    semantic effects observed in free recall and free association should
    carry over to the preferential choice domain. To test for these
    effects, I consider memory-based decisions in which individuals
    are asked to list the items that come to their mind while making
    choices in various everyday scenarios, such as deciding what to
    eat, what to buy as a gift, and where to go for a vacation. I expect
    to observe both semantic clustering, with items that are semanti-
    cally related to the previously retrieved item being more likely to
    be retrieved, and context dependence, with items that are seman-
    tically related to the choice context being most likely to be re-
    trieved.

    Semantic Space Models

    Memory-based choice tasks are relatively unconstrained, and
    decision makers can list almost any item (or combination of items)
    that they think of. The unconstrained nature of these tasks imposes
    the challenge of quantifying semantic relatedness: How can one
    measure semantic clustering or the effect of choice context if the
    items generated in the task are not predetermined by the experi-
    menter?

    Fortunately, researchers have already proposed a solution to this
    problem: semantic space models (Griffiths, Steyvers, & Tenen-
    baum, 2007; Jones & Mewhort, 2007; Kwantes, 2005; Landauer &
    Dumais, 1997; Lund & Burgess, 1996; Mikolov, Sutskever, Chen,
    Corrado, & Dean, 2013). Such models use word co-occurrence
    statistics in large natural language data sets to derive high-
    dimensional semantic vectors for a large set of words. Semanti-
    cally related words have vectors that are close to each other, so that
    semantic relatedness between nearly any pair of words can be
    quantified by vector distance between their corresponding vectors.

    Semantic space models have been shown to predict a wide range
    of psychological phenomena involving similarity judgment, cate-

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    2 BHATIA

    gorization, text comprehension, and semantic priming (Griffiths et
    al., 2007; Jones & Mewhort, 2007; Landauer & Dumais, 1997;
    also see Bullinaria & Levy, 2007 or Jones, Willits, Dennis, &
    Jones, 2015 for a review). Critically, they have also been shown to
    be successful at specifying semantic relatedness, and, for this
    reason, they can predict the set of listed items (as well as the order
    in which these items are listed) in completely unconstrained free
    recall and free association tasks (e.g., Hills et al., 2012; Hills,
    Todd, & Jones, 2015). Finally, recent work has found that seman-
    tic space models are also able to describe high-level cognitive
    phenomena related to decision making such as factual judgment,
    probability judgment, forecasting, and social judgment (Bhatia,
    2017a, 2017b), suggesting that such models may also be applicable
    to memory-based preferential choice.

    In this article, I apply pretrained semantic vectors obtained
    though the Word2Vec methods of Mikolov et al. (2013). These
    vectors were generated by applying a recurrent neural network on
    a corpus of Google News articles with over 100 billion words.
    They have a vocabulary of 300 million words and phrases, with
    each word or phrase being defined on 300 dimensions. I specify
    semantic relatedness using cosine similarity. Thus for any pair of
    items x and y listed in the experiments, I measure the semantic
    relatedness of x and y by calculating S(x, y) � x · y/(||x|| · ||y||),
    where x and y are the Word2Vec vectors corresponding to items x
    and y. S(x, y) ranges from �1 for vectors that are in identical
    directions, to �1 for vectors that are in opposite directions (S[x, y] �
    0 corresponds to orthogonal vectors). Note that, occasionally, I had
    to compute semantic relatedness when decision makers mention
    items composed of multiple words. In these settings, I merely
    average the vectors of the component words to obtain a single
    composite vector representation for the item (which is passed
    through the preceding cosine similarity function to compute se-
    mantic relatedness). I also use this approach to measure the se-
    mantic relatedness between any item and a given choice context
    (such as dinner or breakfast in a task asking decision maker to
    consider what to eat). Thus for an item x and a context cue c, I
    calculate the semantic relatedness of x and c using S(x, c).

    Desirability

    The setting I am examining does have one important feature not
    usually at play in common memory tasks: the effect of item
    desirability. Decision makers need to retrieve items in order to find
    items to choose. Thus efficient decision making, which involves
    the selection of the most desirable item as quickly as possible,
    requires the retrieval of the most desirable items first. Some prior
    work on memory processes suggests that item desirability may
    play a role in item retrieval. For example, emotionality has been
    shown to influence retrieval probability in free-recall tasks, with
    strongly valenced or arousing items being more likely to be re-
    trieved earlier in the task (e.g., Doerksen & Shimamura, 2001;
    Rubin & Friendly, 1986; but see Talmi & Moscovitch, 2004).
    However, it is not clear whether desirability has a similar effect in
    the decision making context, and whether this effect is so strong so
    as to wash out the semantic components of retrieval.

    In fact, the potential effect of desirability on retrieval can lead to
    incorrect conclusions about underlying semantic processes, if peo-
    ple have similar preferences for similar items. Consider, for ex-
    ample, a decision maker who likes pasta dishes more than salad

    dishes. For this decision maker, the best possible meal choice is
    pasta Bolognese, followed by pasta Alfredo, and then Mediterra-
    nean salad and Caesar salad. If this decision maker retrieves food
    items purely in order of their desirability, one would still expect to
    observe some degree of semantic clustering; that is, similar items
    (which are similarity desirable) will be retrieved successively.
    However, this type of clustering would emerge even if semantic
    processes were not directly at play in the task.

    Controlling for the effects of desirability on item retrieval, the
    present experiments involve evaluations of desirability for all
    items that were considered by the decision maker. I do expect
    that—all else equal—items rated as being more desirable will be
    retrieved first, but my primary analysis involves the additional
    effect of semantic relatedness. Thus, I test for whether semantic
    clustering and related effects emerge even when the effect of
    desirability is controlled for.

    Note that the emergence of a semantic clustering effect, in
    addition to a desirability effect, would imply a type of inefficiency
    in the decision process. If decision makers cluster items by seman-
    tic proximity, they may occasionally retrieve undesirable items
    that are semantically related to previously retrieved items before
    retrieving highly desirable but semantically unrelated items. This
    can increase the time necessary to make the optimal choice (or
    conversely increase the likelihood of making a suboptimal choice).

    Memory and Decision Making

    There has already been some research examining free recall in
    a marketing context. This work is concerned primarily with the
    recall of brands, and the effects of various marketing-related
    variables (e.g., order of entry into the market or exposure to
    advertisements) on the ability of consumers to successfully re-
    trieve brands (Hutchinson, Raman, & Mantrala, 1994; Nedungadi,
    1990; Shapiro, MacInnis, & Heckler, 1997; see also Roberts &
    Lattin, 1997 for a review). Some of this research suggests that
    brand recall dynamics display semantic clustering, with brands
    within the same product category being more likely to be retrieved
    together (Hutchinson, 1983; Lattin & Roberts, 1992). The setting
    that I am concerned with is more general than brand recall (par-
    ticipants can list any items that come to their mind as they
    deliberate about an everyday decision), and additionally examines
    the effect of contextual cues on item listing. For this reason, this
    analysis of participant behavior also requires the use of semantic
    space models to specify semantic relatedness, a technique that has
    not been used in the study of brand recall. However, despite these
    theoretical and methodological differences, the existing research
    does suggest that the semantic processes at play in free recall
    settings may also extend to preferential decision making and that
    one could expect to observe effects such as semantic clustering in
    these experiments.

    Another set of research related to these tests involves theoretical
    models of decision making based on memory processes. There are
    a number of such models that allow for contextual cues and related
    probes to influence the retrieval of decision-relevant information
    (Dougherty, Gettys, & Ogden, 1999; Glöckner, Hilbig, & Jekel,
    2014; Johnson, Häubl, & Keinan, 2007; Marewski & Schooler,
    2011). However, the model that is most relevant to these hypoth-
    eses is the associative accumulation model (Bhatia, 2013), which
    allows choice items and contextual cues to bias attribute activation

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    3SEMANTIC PROCESSES IN DECISION MAKING

    and in turn bias the activation of other choice items, in a manner
    that is very similar to standard associative memory models (such
    as, e.g., Polyn et al., 2009). For this reason, the Associative
    Accumulation Model can also be seen to predict the emergence of
    semantic clustering and context dependence in decisions from
    memory.

    Experiments 1A, 1B, and 1C: Semantic Clustering

    Experiments 1A, 1B, and 1C test for semantic clustering effects
    in settings in which decision makers have to retrieve choice items
    from memory. These effects involve the influence of retrieved
    items on successive retrieval and predict that semantically related
    items should be retrieved one after the other. All three of these
    experiments involve identical procedures and vary only in terms of
    the decision domain, and thus I present their methods and results
    simultaneously. Note that all three experiments have been prereg-
    istered and approved by the University of Pennsylvania Institu-
    tional Review Board (IRB).1

    Method

    Participants. Participants (N � 50; mean age � 29; 42%
    female) in Experiment 1A, participants in Experiment 1B (N � 50;
    mean age � 30; 30% female), and participants in Experiment 1C
    (N � 50; mean age � 30; 44% female), recruited from Prolific
    Academic, performed the experiment online. All participants were
    residents of the United States. They were compensated at a rate of
    approximately $US7.50/hr.

    Procedures. In all three experiments participants were shown
    a description of a decision setting and were asked to list 20 items
    that came to their mind as they considered making their decisions.
    The instructions used were as follows:

    Experiment 1A (foods): Imagine that you could eat anything that you
    wanted for a meal tomorrow. In the boxes below please list 20 food
    items that come to your mind as you consider what to eat. Please make
    sure to list all foods that you think of, regardless of whether you would
    eventually want to eat them. Please list these foods in the order that
    they come to your mind (i.e., the first food that comes to your mind
    listed first, the second listed second, etc.)

    Experiment 1B (vacations): Imagine that you could go on any vaca-
    tion that you wanted. In the boxes below please list 20 vacation
    destinations that come to your mind as you consider where to go.
    Please make sure to list all destinations that you think of, regardless
    of whether you would eventually want to go the destination. Please list
    these vacation destinations in the order that they come to your mind
    (i.e., the first destination that comes to your mind listed first, the
    second listed second, etc.)

    Experiment 1C (gifts): Imagine that you have to purchase a gift for a
    close friend or family member. In the boxes below please list 20 items
    that come to your mind as you consider what gift to purchase. Please
    make sure to list all items that you think of, regardless of whether you
    would eventually want to purchase them. Please list these items in the
    order that they come to your mind (i.e., the first item that comes to
    your mind listed first, the second listed second, etc.)

    Participants listed all the items on a single screen, in successive
    free entry boxes. After these items were listed participants were
    taken to a second screen on which they rated each of their 20 listed

    items in terms of desirability, on a scale from �3 to � 3 (�3
    corresponding to extremely undesirable, 0 to neither desirable nor
    undesirable, and � 3 to extremely desirable). Thus participants in
    Experiment 1A rated their 20 items based on how much they
    would like to eat each of these items, participants in Experiment
    1B rated their items based on how much they would like to go
    there for a vacation, and participants in Experiment 1C rated their
    items based on how much they would like to give the item as a gift.

    Results

    Conditional response probabilities. To test whether the
    items listed by participants were clustered semantically, I first
    analyzed the data using the approach suggested by Howard and
    Kahana (2002). This approach tests the relationship between the
    retrieval order and the similarity of the items retrieved, as mea-
    sured by latent semantic analysis (LSA; Landauer & Dumais,
    1997). More specifically it defines a measure: the LSA conditional
    response probability (LSA-CRP), which specifies the probability
    of retrieving one item given the previously retrieved item as a
    function of the LSA-based cosine similarities of the two items.
    This involves first dividing the pairwise similarities between all
    the items into a small number of equally sized bins, based on the
    magnitude of similarity (with the first bin corresponding to the
    smallest pairwise cosine similarity values, and the last bin corre-
    sponding to the largest pairwise cosine similarity values). Once
    these bins have been generated, LSA-CRP computes the relative
    frequencies of the similarities of successively retrieved items fall-
    ing into each of these bins (ensuring that the measure only con-
    siders items that are available to be retrieved at each point in time).
    If there are no systematic semantic clustering effects, one would
    expect the conditional response probabilities for each bin to be
    roughly identical; that is, items that are semantically related to the
    previously retrieved item (i.e., items whose similarities with the
    retrieved item are in bins with large cosine similarity values)
    should have a similar probability of being retrieved as items that
    are semantically unrelated to the previously retrieved item (i.e.,
    items whose similarities with the retrieved item are in bins with
    small cosine similarity values). In contrast, in the presence of
    semantic clustering, the conditional response probabilities should
    be highest for items whose similarities fall into the highest bins.
    Howard and Kahana did find that CRPs correlate positively with
    bin magnitudes, rigorously demonstrating semantic clustering ef-
    fects in free recall.

    The analysis I performed in Experiments 1A through 1C was
    identical to that performed by Howard and Kahana (2002), except
    for one minor difference. Howard and Kahana applied their ap-
    proach to free recall from lists, and used the pairwise similarities
    between every word in their word pool to determine the pairwise
    cosine similarity bins. In contrast, these experiments allowed de-
    cision makers to list any items. Thus, I was unable to precompute
    pairwise similarity bins. Instead, for each participant, I took the 20
    items listed by that participant and computed the pairwise simi-
    larities between these items, generating 190 distinct pairwise sim-
    ilarities. I then used these 190 pairwise similarities to generate 10
    separate bins, with the first bin containing the smallest pairwise
    similarity values and the last bin containing the largest pairwise

    1 Preregistration materials are available at: https://osf.io/zudp7/

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    4 BHATIA

    https://osf.io/zudp7/

    similarity values (see Hills et al., 2012 and 2015 for a similar
    approach to studying semantic clustering in unconstrained tasks).

    Overall, I found a strong positive relationship between CRP and
    the Word2Vec-based similarity as measured by the approach out-
    lined in the preceding text. This is shown in Figures 1A through 1C
    which plot the average CRPs across participants in each experi-
    ment, for each of the 10 bins. As can be seen in these figures, the
    average CRPs for the highest bins (corresponding to the largest
    pairwise similarity values) were substantially higher than the av-
    erage CRPs for the remaining bins, for all three experiments. This
    indicates that after retrieving an item, decision makers were espe-
    cially likely to retrieve other semantically related items (items
    whose pairwise similarities with the retrieved item are in the

    highest bin). Overall, I observed a correlation of 0.85 between bin
    number (1, 2,. . . 10) and the average CRP for Experiment 1A
    (foods), a correlation of 0.69 for Experiment 1B (vacations), and a
    correlation of 0.73 for Experiment 1C (gifts).

    The preceding analysis aggregates CRPs for participants for
    each bin, however, a more rigorous test should also consider
    individual heterogeneity in the CRP-bin correlations. For this
    purpose, I ran a series of regressions (one for each experiment), in
    which the dependent variables were the calculated CRP values and
    the independent variables were the bin numbers. These regressions
    considered each CRP for each participant’s bin to be a separate
    observation, and also permitted random effects on the participant
    level. These regressions found a very strong positive effect for all
    three experiments (� � 0.008, z � 7.52, p � 0.001, 95% CI �
    [0.006, 0.010] for Experiment 1A; � � 0.008, z � 7.78, p � 0.001,
    95% CI � [0.006, 0.010] for Experiment 1B; � � 0.014, z �
    11.33, p � 0.001, 95% CI � [0.012, 0.017] for Experiment 1C),
    again providing evidence for semantic clustering in the generation
    of memory-based choice sets.

    Path analysis. Yet another approach to measuring semantic
    clustering has been proposed by Romney et al. (1993). Romney et
    al. (1993) used multidimensional scaling to derive pairwise seman-
    tic distance measures for all items in a free recall from lists task.
    They then computed the total distance traveled in a participant’s
    retrieved item path. This distance is the sum of the distances
    between the first and second retrieved item, the second and the
    third retrieved item, the third and fourth retrieved item, and so on.
    To quantify the extent of semantic clustering, they compared the
    participant’s actual distance with the distance that would be ex-
    pected if the participant retrieved items in a random order. The
    latter can be calculated through Monte Carlo methods.

    To ensure the robustness of the CRP-based analysis performed
    previously, I applied Romney et al.’s (1993) techniques to the
    present dataset. Again this required two minor modifications. First,
    instead of using multidimensional scaling-based distances, I used
    a measure D(x,y) � 1 – S(x,y), with vectors x and y derived from
    the preexisting Word2Vec representations, and S(x,y) correspond-
    ing to the cosine similarity between these vectors. D is bounded
    below by 0 and is thus a suitable measure of semantic distance (as
    assessed on the Word2Vec space). Second, as the set of items
    listed by participants was unconstrained (unlike Romney et al.’s
    set, which was determined by a list of items presented to partici-
    pants prior to the recall task), I computed random path distance
    only on the set of items listed by each participant. This implies that
    these tests compared the participant’s actual path over that partic-
    ipant’s retrieved items, with a random path over the same set of
    retrieved items. In order to calculate these random paths, I con-
    ducted 100,000 simulations, with each simulation generating a
    random ordering over the set of items retrieved by the participant.

    Our path analysis again showed strong effects of semantic
    clustering. This is illustrated in Figures 2A through 2C which plot
    each participant’s actual distance against the mean distance of a
    random path on the participant’s set of listed items. As is shown in
    these figures, the actual distances for participants were almost
    always shorter than the distances of the corresponding random
    paths. Specifically, 88% of participants in Experiment 1A, 96% of
    participants in Experiment 1B, and 94% of participants in Exper-
    iment 1C had shorter actual distances than mean random distances
    (p � .001 for all three experiments according to a binomial test).

    Figure 1. A (top), B (middle), and C (bottom): The average conditional
    response probability (CRP) for each of the 10 pairwise similarity bins for
    Experiments 1A through 1C. Errors bars display �/–1 standard error.

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    5SEMANTIC PROCESSES IN DECISION MAKING

    Using a paired t test to compare the actual distances with the mean
    random distances, across participants, also showed that on aggre-
    gate these distances were significantly shorter, t(49) � 8.84, p �
    0.001 for Experiment 1A; t(49) � 10.09, p � 0.001 for Experi-
    ment 1B; t(49) � 9.54, p � 0.001 for Experiment 1C.2

    Desirability. A crucial variable missing from the preceding
    tests is item desirability. As discussed in the introductory sections
    of this article, efficient decision making involves the retrieval of
    the most desirable items first, and it is possible that a desirability-
    based retrieval strategy could indirectly generate the appearance of
    semantic clustering (without any semantic processes directly at
    play).

    A simple analysis examining the relationship between item
    desirability and retrieval order showed that desirability does play a
    role in retrieval. This is illustrated in Figures 3A through 3C,
    which plots the desirabilities of items retrieved in each retrieval
    position, averaged across participants. As can be seen here, the
    items retrieved first had a high average desirability and the items
    retrieved last had a low average desirability (though these items
    were still rated to be somewhat desirable, rather than undesirable).
    Overall there was a correlation of �0.74 between item order (1,
    2,. . . 20) and average item desirability in Experiment 1A (foods),

    a correlation of �0.93 in Experiment 1B (vacations), and a cor-
    relation of �0.76 in Experiment 1C (gifts). I also tested the
    desirability effect by performing a regression analysis over all the
    data, in which the dependent variable was retrieval order (1, 2, . . .
    20), and the independent variable was the participant’s rated item
    desirability, and each observation corresponded to a single re-
    trieved item for a single participant. This analysis controlled for
    participant-level heterogeneity with random effects, and found
    a significant effect of desirability on retrieval order for all three
    experiments (� � �0.60, z � �4.48, p � 0.001, 95% CI
    [�0.86, �0.34] for Experiment 1A; � � �1.30, z � �8.53,
    p � 0.001, 95% CI [�1.60, �1.00] for Experiment 1B;
    � � �0.51, z � �4.28, p � 0.001, 95% CI [�0.75, �0.28] for
    Experiment 1C).

    One way to control for the effect of desirability on retrieval, in
    order to examine semantic clustering effects independent of desir-

    2 Note that the preregistration analysis plan had specified the use of z
    tests for each participant, however a paired t test is better suited to
    evaluating differences across participants in the experiment. For this rea-
    son, I report only the paired t test here.

    Figure 2. A (top left), B (top right), and C (bottom): Scatter plots of distances of participants’ sequence of
    retrieved items versus average distances if sequence order was randomized, for Experiments 1A through 1C.
    Each point corresponds to a single participant in each of the three experiments.

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    6 BHATIA

    ability, is to perform a variant of the path analysis presented in the
    previous section. Here, instead of comparing the participant’s
    actual semantic distance with a random path distance, one can
    compare the participants’ actual distance with the distance of a
    retrieval path that lists items in order of their desirability (with the
    most desirable item listed first, the second most desirable item
    listed second, and so on). If the participant’s path distance is
    shorter than the desirability path distance, one can conclude that
    semantic clustering effects emerge even when controlling for the
    type of artificial semantic clustering that can be generated by a
    purely desirability-based retrieval strategy. In fact, one can also

    compare the desirability path distance with the random path dis-
    tance to quantify the extent of this type of indirect desirability-
    based semantic clustering.

    Note that the desirability rating task offered participants a scale
    with seven points (�3 to �3 in increments of 1), and for this
    reason, many items were given the same rating by the participant.
    Thus there are multiple possible desirability-based paths, with each
    path permitting a different ordering (but nonetheless restricting the
    ordering so that more desirable items are always listed before less
    desirable items). Thus to calculate the mean desirability-based path
    distance across all feasible desirability-based paths, I again used
    Monte Carlo methods with 100,000 simulated desirability-based
    orderings. For each simulation, I generated a strict ordering for
    listed items based on their desirability ratings, with the positioning
    of identically rated items being randomized. The overall desirabil-
    ity path distance for the simulation was calculated as the sum of
    the distances of adjacent items in the ordering.

    A comparison between the participants’ actual distances and the
    mean desirability path distances is provided in Figures 4A through
    4C. As can be seen in these figures, actual distances were almost
    always shorter than mean desirability path distances. Specifically,
    82% of participants in Experiment 1A, 88% of participants in
    Experiment 1B, and 88% of participants in Experiment 1C had
    shorter actual distances than mean desirability distances (p � .001
    for all three experiments according to a binomial test). Again a
    paired t test confirmed that these difference were significant,
    t(49) � 6.59, p � 0.001 for Experiment 1A; t(49) � 7.56, p �
    0.001 for Experiment 1B; t(49) � 7.93, p � 0.001 for Experiment
    1C.3 A similar paired t test comparing average desirability paths
    with average random paths also found that desirability paths were
    shorter than random paths, supporting my earlier claim that a
    purely desirability-based retrieval strategy can indirectly lead to
    the appearance of semantic clustering, t(49) � 3.23, p � 0.01 for
    Experiment 1A; t(49) � 1.64, p � .11 for Experiment 1B; t(49) �
    6.21, p � 0.001 for Experiment 1C. Note that this difference does
    not reach statistical significance for Experiment 1B.

    Now, the finding that the actual paths of decision makers were
    different from the desirability paths suggests that undesirable items
    were being retrieved earlier than if decision makers were able to
    retrieve items only in order of desirability. To rigorously examine
    this, I compared the relationship between desirability and retrieval
    order (as in Figures 3A through 3C) with the relationship that one
    would expect if the items were retrieved strictly in order of their
    desirability. Specifically, for each participant, I reordered the re-
    trieved set of items based on their desirabilities to generate an ideal
    ordering, in which the most desirable item is retrieved first, the

    Figure 3. A (top), B (middle), and C (bottom): The average desirability
    ratings for items listed in different positions (1 for listed first to 20 for
    listed last), for Experiments 1A, 1B, and 1C. A rating of �3 corresponds
    to extremely desirable and a rating of 0 corresponds to neither desirable nor
    undesirable. Errors bars display �/–1 standard error.

    3 The preregistration analysis plan had specified the use of a linear
    regression, instead of this path analysis. In this regression, each observation
    would capture the semantic similarity (dependent variable), ordering dis-
    tance (independent variable), and desirability difference (control variable)
    between each pair of listed items for each participant. Although such a
    regression does reveal a significant negative relationship between ordering
    distance and semantic similarity, controlling for desirability, I have real-
    ized that this regression is not statistically sound, as observations cannot be
    considered to be independent (i.e. the semantic similarity of items A and B
    and B and C influences the semantic similarity of items A and C). The path
    analysis provides a better way of disentangling desirability from semantic
    clustering, which is why I have listed the path analysis results here.

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    7SEMANTIC PROCESSES IN DECISION MAKING

    second most desirable item is retrieved second, and so on. I then
    subtracted the desirability of each item in each of the positions in
    the participant’s retrieved list from the desirability of the item in
    the corresponding position in the ideal list. This gave us a list with
    differences in desirabilities in each of the 20 retrieval positions.
    If decision makers did retrieve undesirable items earlier and
    desirable items later (than ideal), then the differences in this list
    would be decreasing in order (e.g., a positive difference would
    be observed for the first position and a negative difference
    would be observed for the last position). I tested for this
    decreasing relationship in regressions in which the dependent
    variable was the desirability difference and the independent vari-
    able was the corresponding order position. These regressions consid-
    ered each of the 20 retrieval positions for each of the participants to be
    a separate observation, and controlled for participant-heterogeneity
    with random effects. They revealed a significant negative effect of
    position for all three experiments (� � �2.76, z � �26.92, p �
    0.001, 95% CI [�2.96, �2.56] for Experiment 1A; � � �3.44,
    z � �30.19, p � 0.001, 95% CI [�3.67, �3.22] for Experiment 1B;
    � � �2.94, z � �38.04, p � 0.001, 95% CI [�3.09, �2.79] for
    Experiment 1C). This confirms that in the present experiments, un-
    desirable items were being retrieved significantly earlier than ideal

    (i.e., significantly earlier than if decision makers were able to retrieve
    items strictly in order of desirability).4

    Discussion

    The goal of Experiments 1A through 1C was to test for semantic
    clustering effects in the retrieval of choice sets from memory. It
    used two existing techniques to quantify semantic clustering: the
    first, based on the conditional response probability approach out-
    lined by Howard and Kahana (2002), involved testing whether the
    retrieval of one item increased the likelihood of similar items being
    retrieved in the successive time period. The second, based on the
    path analysis approach outlined by Romney et al. (1993) involved
    calculating the total distance traveled in semantic space by a
    participant’s retrieval sequence, and comparing this to the distance
    expected if retrieval order was randomized.

    Both of these techniques indicated strong semantic clustering
    effects in Experiments 1A through 1C, however neither of these

    4 This analysis was not mentioned in the preregistered analysis plan, but
    is necessary for testing whether undesirable items were retrieved earlier
    than would be predicted by desirability-based retrieval.

    Figure 4. A (top left), B (top right), and C (bottom): Scatter plots of distances of participants’ sequence of
    retrieved items versus average distances if items were listed in order of desirability, for Experiments 1A, 1B, and
    1C. Each point corresponds to a single participant in each of the three experiments.

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    8 BHATIA

    techniques controlled for the effect of desirability on retrieval.
    Desirable items were more likely to be retrieved first, suggesting
    that the semantic clustering observed using the CRP and the path
    analysis techniques could be due to decision makers merely having
    similar preferences for similar items, and not due to any direct
    semantic effects in retrieval. To control for desirability, I thus ran
    a variant of the path analysis that calculated the average semantic
    distances of retrieval sequences that listed items purely in order of
    desirability. I found that such desirability-based distances were
    still much larger than the distances of the participants’ actual
    retrieval sequences, suggesting the existence of direct semantic
    clustering effects in addition to desirability-based retrieval biases.

    The presence of semantic clustering suggests that undesirable
    items that are semantically related to previously retrieved items
    can occasionally intrude and be retrieved before more desirable
    (but semantically unrelated) items. This hints at a potential inef-
    ficiency in the decision process—With perfect memory retrieval,
    decision makers would be quicker and less prone to error if they
    did not cluster retrieval semantically, and instead first considered
    the most desirable items before examining other less desirable
    items.

    Experiments 2A, 2B, and 2C: Choice Context

    In Experiments 1A through 1C, there was a robust semantic
    clustering effect, showing that items that are semantically related
    to previously retrieved items are themselves more likely to be
    retrieved in successive time periods. This illustrates the key role of
    semantic relatedness in determining the items that are considered
    by decision makers in decisions from memory. In Experiments 2A
    through 2C, I examine a second semantic effect, this time involv-
    ing the influence of choice context on the retrieval of items. These
    experiments consider choice domains that are identical to those
    used in Experiments 1A through 1C but vary the contextual cues
    given to participants in these domains. If semantic processes do
    guide retrieval, one should expect items that are semantically
    related to the choice context to be more likely to be retrieved.

    Experiments 2A through 2C involve identical procedures to
    each other, and vary only in terms of the decision domain, and thus
    I present their methods and results simultaneously. Again, all three
    experiments have been preregistered and approved by the Univer-
    sity of Pennsylvania IRB.5

    Method

    Participants. Participants (N � 100; mean age � 31; 44%
    female) in Experiment 2A, participants in Experiment 2B (N �
    100; mean age � 30; 47% female), and participants in Experiment
    2C (N � 100; mean age � 30; 41% female), recruited from
    Prolific Academic, performed the experiment online. All partici-
    pants were residents of the United States. They were compensated
    at a rate of approximately $US7.50/hr.

    Procedures. In all three experiments participants were shown
    a description of a decision setting and were asked to list 20 items
    that came to their mind as they considered making their decisions.
    The specific choice context used in the decision setting was,
    however, randomly assigned to participants, with each participant
    receiving one of two contextual cues. The instructions (with the
    randomized choice context underlined) were as follows:

    Experiment 2A (foods): Imagine that you could eat anything that you
    wanted for [dinner/breakfast] tomorrow. In the boxes below please list
    20 food items that come to your mind as you consider what to eat.
    Please make sure to list all foods that you think of, regardless of
    whether you would eventually want to eat them. Please list these foods
    in the order that they come to your mind (i.e., the first food that comes
    to your mind listed first, the second listed second).

    Experiment 2B (vacations): Imagine that you could go on a [wine
    tasting/camping] trip to any destination that you wanted. In the boxes
    below please list 20 vacation destinations that come to your mind as
    you consider where to go. Please make sure to list all destinations that
    you think of, regardless of whether you would eventually want to go
    the destination. Please list these vacation destinations in the order that
    they come to your mind (i.e., the first destination that comes to your
    mind listed first, the second listed second, etc.).

    Experiment 2C (gifts): Imagine that you have to purchase a gift for
    your [partner for Valentine’s day/friend for her baby shower]. In the
    boxes below please list 20 items that come to your mind as you
    consider what gift to purchase. Please make sure to list all items that
    you think of, regardless of whether you would eventually want to
    purchase them. Please list these items in the order that they come to
    your mind (the first item that comes to your mind listed first, the
    second listed second).

    Participants listed all the items on a single screen. After these
    items were listed participants were taken to a second screen on
    which they rated each of their 20 items for desirability in their
    corresponding choice context, on a scale from �3 to �3 (�3
    corresponding to extremely undesirable, 0 to neither desirable nor
    undesirable, and �3 to extremely desirable). Thus participants in
    Experiment 2A who were given the dinner context rated their 20
    items based on how much they would like to eat each of the items
    for dinner, and participants in this experiment who were given the
    breakfast context rated their items on how much they would like to
    eat each of the items for breakfast. Likewise, participants in
    Experiment 2B rated their items based on how much they would
    like to go there for a wine tasting or a camping trip, and partici-
    pants in Experiment 2C rated their items based on how much they
    would like to give the item as a Valentine’s day or baby shower
    gift.

    Results

    Context dependence. Our primary tests for Experiments 2A
    through 2C involved the effect of the choice context on the set of
    retrieved items. For this purpose, I used the Word2Vec represen-
    tations to obtain vectors for each pair of contextual cues.6 I then
    calculated the relative cosine similarities between these vectors
    and each of the items listed by the participants to measure the
    relative semantic relatedness between listed items and the two
    choice contexts in each of the three experiments. More formally,
    for each item x in Experiment 2A, I calculated S(x, dinner) – S(x,
    breakfast), for each item x in Experiment 2B, I calculated S(x, wine
    tasting) – S(x, camping), and for each item x in Experiment 2C, I

    5 Preregistration materials are available at: https://osf.io/zudp7/.
    6 Note that the Word2Vec representations had individual vectors for

    Valentines_Day, baby_Shower, and wine_tasting, and I used these individ-
    ual vectors instead of averaging the vectors for component words in these
    phrases.

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    9SEMANTIC PROCESSES IN DECISION MAKING

    https://osf.io/zudp7/

    calculated S(x, Valentine’s day) – S(x, baby shower). I then com-
    pared these relative cosine similarity values across the two groups
    of participants in each experiment. If choice context does influence
    the items retrieved, one would expect S(x, dinner) – S(x, breakfast) to
    be larger for participants in Experiment 2A in the dinner context
    relative to the breakfast context. Likewise S(x, wine tasting) – S(x,
    camping) should be larger for participants in Experiment 2B in the
    wine tasting context relative to the camping context, and S(x, Valen-
    tine’s day) – S(x, baby shower) should be larger for participants in
    Experiment 2C in the Valentine’s day context relative to the baby
    shower context.

    The relationship between item retrieval and choice context can
    be seen in Figures 5A through 5C, which plot the average cosine
    similarity differences across participants, for the three experi-
    ments, as a function of condition. The solid lines always lie above
    the dashed lines, indicating that retrieved items were more similar
    to their choice context compared with the choice context in the
    alternate condition. More rigorously, I tested for these differences
    using three regressions (one for each experiment) in which the
    main dependent variable was the cosine similarity difference (S[x,
    dinner] – S[x, breakfast] for Experiment 2A, S[x, wine tasting] –
    S[x, camping] for Experiment 2B, and S[x, Valentine’s day] – S[x,
    baby shower] for Experiment 2C) and the main independent vari-
    able was the experimental conditions to which the participants
    were assigned (1 if condition was dinner in Experiment 2A, wine
    tasting in Experiment 2B, and Valentine’s Day in Experiment 2C;
    0 otherwise). I also controlled for participant-heterogeneity with
    random effects. This regression illustrated strong positive effects
    of condition on cosine similarity, showing that choice context does
    in fact influence item retrieval (� � 0.04, z � 9.16, p � 0.001,
    95% CI [0.03, 0.05] for Experiment 2A; � � 0.08, z � 8.33, p �
    0.001, 95% CI [0.06, 0.10] for Experiment 2B; � � 0.08, z �
    15.72, p � 0.001, 95% CI [0.07, 0.09] for Experiment 2C).

    We also ran variants of the preceding regressions with three
    additional independent variables: the first variable was the re-
    trieval position of the item (1 to 20, based on whether the item was
    listed first or last). The second variable was an interaction between
    retrieval position and the condition variable. This variable tested
    whether the effect of choice context diminished or increased as
    additional items were retrieved. The final variable was the choice
    item’s rated desirability. I found that the effect of the condition
    variable on cosine similarity persisted with these additional cova-
    riates (p � 0.001 for all). Moreover, there was a negative inter-
    action effect between the condition and the item ordering in
    Experiments 2B (vacations) and 2C (gifts), indicating that the
    effect of the choice context diminished as additional items were
    retrieved (� � �0.002, z � �2.94, p � 0.01, 95% CI
    [�0.003, �0.001] for Experiment 2B; � � �0.006, z � �9.90, p �
    0.001, 95% CI [�0.007, �0.005] for Experiment 2C). This effect can
    also be observed in Figures 5B and 5C which show that the differ-
    ences in average cosine similarities between the solid and dashed lines
    decrease for items retrieved later on during deliberation. There was no
    such interaction effect for Experiment 2A (foods; p � .42).

    Semantic clustering and desirability. We also analyzed the
    data from Experiments 2A through 2C to test if the semantic
    clustering effects observed previously were replicated. For this
    purpose, I analyzed each of the conditions in each of the experi-
    ments separately. I first calculated the relationship between con-
    ditional response probabilities and sematic relatedness with re-

    trieved items (in a manner that was identical to that reported for
    Experiments 1A through 1C). For this, I ran six regressions (one
    for each condition in each experiment), in which the dependent
    variables were the calculated CRP values and the independent
    variables were the bin numbers (we also included random effects
    on the participant-level). As in Experiments 1A through 1C, these
    regressions found a very strong positive effect of semantic relat-
    edness on CRP (p � 0.001 for all six tests).

    We replicated this result using the path analysis approach out-
    lined in the preceding text. For this, I again compared the semantic

    Figure 5. A (top), B (middle), and C (bottom): The similarity differences
    for items listed in different positions (1 for listed first to 20 for listed last),
    as a function of condition in Experiments 2A, 2B, and 2C. Here the solid
    lines correspond to choice contexts of dinner, wine tasting, and Valentine’s
    day, and dashed lines correspond to contexts of breakfast, camping, and
    baby shower, in Experiment 2A, 2B, and 2C respectively. Errors bars
    display �/–1 standard error.

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    10 BHATIA

    distance over the path of items listed by participants with the
    distance expected if item retrieval order was random and if the
    item retrieval order was determined entirely in order of desirability
    (with the most desirable item listed first). Again, I found that the
    actual distances were lower than random distances and desirability
    distances, indicating the presence of semantic clustering. These
    differences were significant, as evaluated by paired t tests across
    participants in each condition in each experiment (p � 0.001 for all
    six tests).

    A final analysis involved examining the effect of desirability on
    retrieval order. For this purpose, I ran a regression analysis in
    which the dependent variable was retrieval order (1 to 20, based on
    whether the item was listed first or last), and the independent
    variable was the participant’s rated item desirability. I also in-
    cluded a control for the cosine similarity of the item with the
    contextual cue. This analysis counted each retrieved item by each
    participant as a separate observation and controlled for participant-
    heterogeneity with random effects. Replicating the findings of
    Experiments 1A through 1C, I found positive significant effects for
    desirability (p � 0.001 for all six tests), indicating that desirable
    items are more likely to be retrieved earlier, even when controlling
    for their similarity with the choice context.7

    Discussion

    Experiments 2A through 2C tested for the effect of contextual
    cues on item retrieval. They specified semantic relatedness using
    cosine similarity between Word2Vec word vectors. As expected
    they found that decision makers were more likely to retrieve items
    that are semantically related to the choice context. Additionally,
    the effect of choice context was stronger for items retrieved early
    on during deliberation for Experiments 2B (vacations) and 2C
    (gifts). As deliberation continued, retrieved items in these exper-
    iments drifted further away from the contextual cue. Additionally,
    as in Experiments 1A through 1C, Experiments 2A through 2C
    also noted a strong degree of semantic clustering, with retrieved
    items increasing the likelihood of semantically related items being
    retrieved in the subsequent time period. I also observed the effect
    of desirability on item retrieval: Highly desirable items were more
    likely to be retrieved early on in the decision. Overall Experiments
    2A through 2C find evidence for another important semantic
    determinant of item retrieval: choice context. These experiments
    also illustrate the value of semantic space models for formalizing
    semantic relatedness between contextual cues and item listings.

    General Discussion

    Semantic processes play a key role in guiding behavior in a wide
    range of cognitive tasks. I have shown that these processes also
    influence the choice items that come to mind when decision
    makers have to generate choice sets from memory. Particularly, in
    Experiments 1A through 1C, I found that retrieved items increase
    the retrieval probability of other items that they are semantically
    related to. This generates a semantic clustering effect according to
    which semantically related items are retrieved together. This clus-
    tering effect exists in addition to desirability-based retrieval biases.
    In Experiments 2A through 2C, I found that contextual cues, such
    as choice context, increase the retrieval probabilities of items that
    are semantically related to these cues. This effect is usually stron-
    ger early on in deliberation.

    Memory-Based Choice Sets

    Most experimental research in psychology presents explicit
    choice sets to participants, and is consequently focused on under-
    standing the decision rules that are used to evaluate items in these
    choice sets (see, e.g., Busemeyer & Rieskamp, 2014; Oppenheimer
    & Kelso, 2015). However, many everyday decisions do not in-
    volve externally provided choice sets; rather decision makers must
    retrieve feasible choice items from memory (Alba & Hutchinson,
    1987; Lynch & Srull, 1982). It is these decisions from memory that
    are sensitive to the influence of semantic processes.

    Our results suggest that to build more comprehensive theories
    preferential decision making, psychologists should attempt to
    model the semantic memory mechanisms responsible for choice
    item retrieval in the absence of exogenous choice sets. There are
    already theories of preferential choice that involve a significant
    memory component, and permit the influence of probes and cues
    to guide memory retrieval (e.g., Dougherty et al., 1999; Glöckner
    et al., 2014; Johnson et al., 2007). Out of these, the associative
    accumulation model (Bhatia, 2013) has perhaps the most explicit
    semantic component for simple preferential choice, in that it al-
    lows for salient choice items and other contextual variables in the
    choice task to bias the activation of associated attributes, and thus
    increase the activation of other (semantically related) choice items.
    It is possible that such a model could be combined with existing
    theories of semantic memory to more rigorously describe the
    retrieval patterns documented in this article.

    One benefit of this endeavor would be a more detailed analysis
    of the effect of noise in memory retrieval and memory-based
    choice. In the current article, I did not consider the possibility that
    some of the findings could be influenced by noise in memory.
    Although there is no reason to expect this type of noise to artifi-
    cially generate semantic clustering or context dependence, noise
    could interact in complex ways with underlying semantic structure.
    A formal model of memory retrieval that allows for the effect of
    noise would be able to better control for this interaction.

    Semantic processes are not the only memory mechanisms at
    play in memory-based decisions. The decision maker’s familiarity
    with individual items (which can be measured by the frequency of
    the item’s occurrence in the decision maker’s environment) is
    likely to guide retrieval as well. This type of familiarity-based
    memory effect has already been shown to play a role in a number
    of decision making domains, and existing models of memory-
    based judgment and decision making explicitly allow for the
    influence of such factors on item activation and retrieval (Giger-
    enzer & Goldstein, 1996; Marewski & Schooler, 2011).

    Another important variable influencing the retrieval of items in
    memory-based choice tasks is the desirability of the items. In these
    experiments, I found that items rated as being highly desirable
    were also the ones that were most likely to be listed earlier during
    deliberation. The causes of this desirability bias are currently
    unclear. For example, desirability could influence the baseline
    activation of items making desirable items easier to retrieve. This
    would imply that more desirable items are also more likely to be

    7 The semantic clustering and desirability-based analysis outlined in this
    subsection was not mentioned in the preregistration analysis plan, however
    it does provide a convenient replication of the results of Experiments 1A,
    1B, and 1C.

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    11SEMANTIC PROCESSES IN DECISION MAKING

    retrieved in memory tasks without an explicit preferential compo-
    nent (congruent with the finding that word emotionality increases
    word recall—see Rubin & Friendly, 1986). Alternatively, desir-
    ability could act as a contextual cue; a cue that selectively in-
    creases the activation of desirable choice items only when decision
    makers have to make preferential decisions (see Talmi & Mosco-
    vitch, 2004 for a related point). This would imply that the desir-
    ability biases observed in these experiments are unique to prefer-
    ential decision making contexts. Understanding the influence of
    desirability on retrieval in memory-based choice, as well as the
    interaction between desirability and various semantic and non-
    semantic memory processes, is an important topic for future
    work.

    Efficient Memory

    The tests performed in this article controlled for the influence of
    desirability on retrieval, and demonstrated the existence of a dis-
    tinguishable, direct, semantic clustering effect. One consequence
    of this effect is that decision makers often retrieved undesirable
    items that were semantically related to previously retrieved items
    before retrieving more desirable but semantically unrelated items.
    This type of semantic interference can be seen as being detrimental
    to the decision: If decision makers needed to maximize accuracy
    and minimize decision time, retrieval would be entirely in order of
    desirability.

    Although these experiments suggest the presence of a type of
    inefficiency in memory-based decisions, semantic clustering can
    alternatively be seen as reflecting the effortless use of an existing
    memory system. For example, a purely desirability-based retrieval
    strategy would likely put additional cognitive demands on the
    decision maker, as decision makers would have to suppress the
    associative activation processes responsible for semantic cluster-
    ing, while simultaneously searching for and activating only the
    most desirable items stored in their memories. In fact, to the extent
    that similar items are similarly desirable, semantic clustering can
    even approximate desirability-based retrieval, implying that the
    effects observed in this article may reflect adaptive memory search
    in decision making. Interestingly, executive control has been
    shown to lead to increased semantic clustering in memory tasks
    (Hills, Mata, Wilke, & Samanez-Larkin, 2013; Hills, Todd, &
    Goldstone, 2010), suggesting that individuals with higher working
    memory span may be especially likely to display the types of
    patterns documented in this article.

    Another way in which semantic processes facilitate good deci-
    sions involves the use of contextual cues. As I have shown in these
    experiments, decision makers selectively retrieve items that are
    semantically related to the choice context. Thus when deliberating
    over what to eat for breakfast, they are able to easily and quickly
    retrieve breakfast-related food items. In contrast, when deliberat-
    ing over what to eat for dinner, they are able to easily and quickly
    retrieve dinner-related food items. Preferences for choice items
    depend on context and automatically responding to choice context
    likely leads quicker and more accurate decisions.

    Decision Rules

    A complete understanding of the relationship between semantic
    memory and efficient or inefficient decision making, however,

    depends on the choice rules that are used by decision makers to
    evaluate retrieved items. If item retrieval is sequential then deci-
    sion makers could utilize alternative-wise decision rules such as
    the satisficing heuristic. Such rules consider the overall desirability
    of an item and accept or reject the item before considering other
    items (e.g., Simon, 1956). Alternatively, if retrieval is in parallel,
    or if decision makers evaluate items only after multiple items have
    been retrieved, choice may involve attribute-wise decision strate-
    gies such as the lexicographic heuristic. Such rules evaluate the
    attributes of choice alternatives one after the other and accept or
    reject items based on their values on these attributes (e.g., Giger-
    enzer & Goldstein, 1996; Tversky, 1972). Other decision rules,
    involving a mix of attribute and alternative-wise processing are
    also possible (see, e.g., Bhatia, 2017c; Glöckner et al., 2014; Roe,
    Busemeyer, & Townsend, 2001), as are decision rules that select
    “typical” items such as those that are overall most similar to the
    entire set of retrieved items. It is possible that the observed
    retrieval strategies are optimal with one set of decision rules but
    not with another (also see Payne, Bettman, & Johnson, 1993).

    Of course the study of the decision rules used by decision
    makers in memory-based choice tells us about more than just
    whether memory is efficient. Understanding these rules allows
    researchers to fully characterize the memory-based decision pro-
    cess and thus predict not only the items that decision makers
    consider while deliberating, but also the items that they eventually
    choose and how long they take to make their choices. Although
    one would expect the findings documented here to generalize to
    settings in which choices are required (as items retrieved by
    decision makers fundamentally constrain their choice sets) a direct
    study of decision rules used in memory-based choice can provide
    a more detailed understanding of the effect of semantic clustering
    and context dependence on actual decision outcomes. It is possible
    that these effects are diminished with some decision rules, and
    amplified with others.

    Although a full characterization of the memory-based decision
    process is still lacking, there has been some work that has con-
    trasted memory-based decision making against stimulus-based de-
    cision making in areas such as marketing (Lynch, Marmorstein, &
    Weigold, 1988; Lynch & Srull, 1982; Nedungadi, 1990; Rotten-
    streich, Sood, & Brenner, 2006). Much of this work involves
    providing information regarding the available choice items and
    their attributes to decision makers prior to the decision task, and
    then asking decision makers to recall this information as they
    decide. Behavior in such memory-based tasks is compared with
    behavior in equivalent stimulus-based tasks in which information
    is provided to decision makers as they decide (and need not be
    retrieved from memory). This work has documented systematic
    differences in choice strategies and choice outcomes between
    memory-based and stimulus-based decisions, implying that exist-
    ing psychological theories of decision making may not be directly
    applicable to the types of memory-based choices studied in the
    current article.

    Semantic Space Models

    One important contribution of this article is that it shows how
    decisions involving everyday choice items can be rigorously stud-
    ied with the use of semantic space models (Griffiths et al., 2007;
    Jones & Mewhort, 2007; Kwantes, 2005; Landauer & Dumais,

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    12 BHATIA

    1997; Lund & Burgess, 1996; Mikolov et al., 2013). These deci-
    sions typically involve a large, unconstrained, choice domain: In
    these experiments, participants were free to list any choice items
    that came to their mind. Psychological research often has difficul-
    ties quantifying relevant variables (such as the semantic related-
    ness between pairs of items) in such unconstrained settings, mak-
    ing naturalistic memory-based decisions very hard to study. This is
    perhaps one reason why most existing decision making research
    utilizes artificial experimenter provided choice sets. However,
    semantic space models make it is possible to obtain semantic
    representations for a very large set of words and concepts. These
    representations provide measures of semantic relatedness for
    nearly any pair of choice items, and between choice items and a
    wide range of choice contexts.

    Our application of semantic space models to measure semantic
    relatedness was influenced by similar existing applications to free
    recall and free association (e.g., Hills et al., 2012; Howard &
    Kahana, 2002). Besides applications to memory, such models are
    also useful for predicting behavior in a variety of other psycho-
    logical tasks, including similarity judgment, categorization, text
    comprehension, and semantic priming (see Bullinaria & Levy, 2007
    or Jones et al., 2015 for a review), as well as various high-level
    cognitive tasks studied by scholars of judgment and decision making
    (Bhatia, 2017a, 2017b).

    Of course, semantic space models do have limitations. As they
    rely on large natural language corpora for model training, most
    such models are unable to accommodate individual differences in
    semantic representations. For example, some of the participants in
    Experiment 1A may have considered rice to be more semantically
    related to stir fried vegetables, whereas others may have consid-
    ered it to be more semantically related to refried beans. As these
    tests involved a single set of pretrained vector representations, they
    predicted the same pairwise similarity measures for items across
    participants, and thus were unable to accommodate any differences
    in recall across participants that may have stemmed from differ-
    ences in item representation. Another issue involves items com-
    posed of multiple words. In these tests, I merely averaged the word
    vectors for the component words in multiword items, however this
    type of averaging may not always be the best way to obtain
    composite representations.

    Despite these limitations, semantic space models provide a
    unique and promising approach to the study of preferential
    choice, an area of research that is concerned primarily with how
    individuals aggregate and evaluate information about real-
    world items. The psychological processes involved in such
    tasks cannot be easily understood by presenting decision mak-
    ers with explicit choice sets composed of abstracted artificial
    experimenter-generated stimuli. Rather the study of real-world
    choice requires the use of both naturalistic stimuli and natural-
    istic methods for eliciting preferences. By providing a way to
    approximate the representations that individuals have for com-
    plex everyday choice items, semantic space models allow for
    the extension of existing psychological theories (such as theo-
    ries of free recall) to a wide range of real-world phenomena. I
    look forward to further applications of semantic space models
    to the study of decision making in psychology and related
    fields.

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    Received December 27, 2017
    Revision received March 20, 2018

    Accepted March 24, 2018 �

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    14 BHATIA

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      Semantic Processes in Preferential Decision Making
      Retrieving Items From Memory
      Semantic Space Models
      Desirability
      Memory and Decision Making
      Experiments 1A, 1B, and 1C: Semantic Clustering
      Method
      Participants
      Procedures
      Results
      Conditional response probabilities
      Path analysis
      Desirability
      Discussion
      Experiments 2A, 2B, and 2C: Choice Context
      Method
      Participants
      Procedures
      Results
      Context dependence
      Semantic clustering and desirability
      Discussion
      General Discussion
      Memory-Based Choice Sets
      Efficient Memory
      Decision Rules
      Semantic Space Models
      References

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