Decision-making models of remember-know judgments: comment on Rotello, Macmillan, and Reeder (2004)

The sum-difference theory of remembering and knowing (STREAK) provides a sophisticated account of many interactions in the remember-know (R-K) area (C. M. Rotello, N. A. Macmillan, & J. A. Reeder, 2004). It assumes 2 orthogonal strength dimensions and oblique criterion planes. Another dual-process model (J. T. Wixted & V. Stretch, 2004) with one decision axis has also been applied to R-K judgments with considerable success and provides new insights into the processes involved. An analysis of the 4 major R-K interactions can also be explained by a simpler one-dimensional signal detection theory (J. C. Dunn, 2004a). However these models do not make contact with standard work on recognition memory, so their scope is limited. To bridge this gap, a global-matching model (a theory of distributed associative memory [TODAM]) for R-K judgments is proposed. This model can produce good fits to the data, and there are established experimental manipulations with which to test it. It provides further support for the idea that R judgments are based on associative information, whereas K judgments are based on item information.     

The influence of averaging and noisy decision strategies on the recognition memory ROC

Many single- and dual-process models of recognition memory predict that the ratings and remember-know receiver operating characteristics (ROCs) are the same, but Rotello, Macmillan, and Reeder (2004) reported that the slopes of the remember-know and ratingsz-transformed ROCs (zROCs) are different. The authors show that averaging introduces nonlinearities to the form of thezROC and that ratings and remember-knowzROCs are indistinguishable when constructed in a conventional manner. The authors show, further, that some nonoptimal decision strategies have a distinctive, nonlinear effect on the form of the single-process continuous-statezROC. The conclusion is that many factors having nothing to do with the nature of recognition memory can affect the shape ofzROCs, and that therefore, the shape of thezROC does not, alone, characterize different memory models.     

Mathematical models of memory and the problem of stimulus variation: A comparison of Minerva 2 and Todam

MINERVA 2 Hintzman, 1983, Hintzman, 1984 and TODAM (Murdock 1982, 1983), two contemporary mathematical models of memory, are compared with regard to the way they conceptualize and formalize the processes of encoding, storage, and retrieval. Both models were applied to a set of data from an experiment involving stimulus variation and memory (Avant and Bevan 1968b). Results show that TODAM more closely simulated tha data than did MINERVA 2. These findings are discussed in terms of the relevant differences between the two models.     

Storage and retrieval of serial-order information

In this paper I will first review some seminal work by Conrad on the storage and retrieval of serial-order information which is still very relevant today. Then I will discuss the TODAM (theory of distributed associative memory) approach to serial-order effects. I will compare the three TODAM serial-order models (the chaining model, the chunking model and the power-set model; Murdock, 1995) but concentrate on the power set model. Its original problems can be solved, but a revised and augmented version has some new problems. This paper is more of a progress report than a finished product, so the reader should be prepared to follow the twists and turns of the argument.     

Storage and retrieval of serial‐order information

In this paper I will first review some seminal work by Conrad on the storage and retrieval of serial‐order information which is still very relevant today. Then I will discuss the TODAM (theory of distributed associative memory) approach to serial‐order effects. I will compare the three TODAM serial‐order models (the chaining model, the chunking model and the power‐set model; Murdock, 1995) but concentrate on the power set model. Its original problems can be solved, but a revised and augmented version has some new problems. This paper is more of a progress report than a finished product, so the reader should be prepared to follow the twists and turns of the argument.     

“Remembering” emotional words is based on response bias,not recollection

Recent studies have demonstrated that emotional stimuli result in a higher proportion of recognized items that are “remembered” (e.g., Kensinger & Corkin, 2003; Ochsner, 2000), leading to greater estimates of recollection by the dual-process model (Yonelinas, 1994). This result suggests that recognition judgments to emotional stimuli depend on a recollection process. We challenge this conclusion with receiver operating characteristic (ROC) curve data from two experiments. In both experiments, subjects studied neutral and emotional words. During the recognition test, subjects made old-new confidence ratings as well as remember-know judgments. Four models of remember-know judgments were fit to individual subjects’ data: two versions of a one-dimensional signaldetection-based model (Donaldson, 1996; Wixted & Stretch, 2004), the dual-process model (Yonelinas, 1994), and the two-dimensional signal-detection-based model known as STREAK (Rotello, Macmillan, & Reeder, 2004). Consistent with the literature, we found that emotion increases subjective reports of “remembering.” However, our ROC analyses and modeling work reveal that the effect is due to response bias differences rather than sensitivity change or use of a high-threshold recollection process.     

On the importance of models in interpreting remember-know experiments: Comments on Gardiner et al.'s (2002) meta-analysis

From a meta-analysis of recognition experiments using the remember-know-guess paradigm, Gardiner, Ramponi, and Richardson-Klavehn (2002) reported two findings that they viewed as evidence against the one-dimensional model for that paradigm: (1) Memory strength increased when know responses were added to remember responses, decreasing when guess responses were also included. (2) The accuracy of guess responses was correlated with the location of the old-new criterion in the one-dimensional model for the paradigm, implying that guesses were influenced by decision processes. We question both findings. The first result is contradicted by a signal-detection (SDT) analysis, which shows that both know and guess responses reduced estimated memory strength. The discrepancy results from the properties of A′, the measure of accuracy used by Gardiner et al., which we argue is flawed. The second result follows directly from the one-dimensional model, in which accuracy and response criteria are fixed. The authors' reasons for rejecting the one-dimensional model are thus not persuasive, but it can nonetheless be rejected because ROC curves implied by the data are inconsistent with ROCs derived from ratings experiments. A two-dimensional SDT model (Rotello, Macmillan, & Reeder, 2004) accounts for both sets of data. The analysis illustrates the importance of models in interpreting remember-know data.     

Item and associative recognition with precuing and postcuing

M. Duncan & B. B. Murdock (2000) compared precued and postcued item recognition and serial recall showing precued-postcued differences for item recognition but not for serial recall. Precuing and postcuing refer to 2 conditions in which the instructions as to the type of recall test following the presentation of short lists of items is given before or after the list presentation. This methodology was extended here to a paired-associate task. In 2 experiments, short lists of paired associates were presented followed by single-item, old-new, or intact-rearranged pair recognition tests; test type was precued or postcued. A fast or slow presentation rate was used to discourage or encourage mediators. TODAM2 (a theory of distributed associative memory) predicts that there should be little or no cuing differences regardless of whether subjects use mediators to remember the pairs. As predicted the recognition data were essentially identical for the precued and postcued conditions.     

Response bias in "remembering" emotional stimuli: a new perspective on age differences

Older adults sometimes show a recall advantage for emotionally positive, rather than neutral or negative, stimuli (S. T. Charles, M. Mather, & L. L. Carstensen, 2003). In contrast, younger adults respond "old" and "remember" more often to negative materials in recognition tests. For younger adults, both effects are due to response bias changes rather than to enhanced memory accuracy (S. Dougal & C. M. Rotello, 2007). We presented older and younger adults with emotional and neutral stimuli in a remember-know paradigm. Signal-detection and model-based analyses showed that memory accuracy did not differ for the neutral, negative, and positive stimuli, and that "remember" responses did not reflect the use of recollection. However, both age groups showed large and significant response bias effects of emotion: Younger adults tended to say "old" and "remember" more often in response to negative words than to positive and neutral words, whereas older adults responded "old" and "remember" more often to both positive and negative words than to neutral stimuli.     

The information content of panoramic images II: view-based navigation in nonrectangular experimental arenas

Two recent studies testing navigation of rats in swimming pools have posed problems for any account of the use of purely geometric properties of space in navigation (M. Graham, M. A. Good, A. McGregor, & J. M. Pearce, 2006; J. M. Pearce, M. A. Good, P. M. Jones, & A. McGregor, 2004). The authors simulated 1 experiment from each study in a virtual reality environment to test whether experimental results could be explained by view-based navigation. The authors recorded a reference image at the target location and then determined global panoramic image differences between this image and images taken at regularly spaced locations throughout the arena. A formal model, in which an agent attempts to minimize image differences between the reference image and current views, generated trajectories that could be compared with the search performance of rats. For both experiments, this model mimics many aspects of rat behavior. View-based navigation provides a sufficient and parsimonious explanation for a range of navigational behaviors of rats under these experimental conditions.     

Positive and negative remember judgments and ROCs in the plurals paradigm: Evidence for alternative decision strategies

Using old-new ratings and remember-know judgments we explored the plurals paradigm, in which studied words must be distinguished from plurality-changed lures. The paradigm allowed us to investigate negative remembering—that is, the remembering of a plural-altered study item; capacity for this judgment was found to be poorer than or equivalent to the conventional positive remembering. A response-bias manipulation affected positive but not negative remembering. The ratings were used to construct ROC curves and test the prediction of the most common dual-process theory of recognition memory (Yonelinas, 2001) that the amount of recollection can be independently estimated from ROC curves and from remember judgments. By fitting the individual data with pure signal detection theory (SDT) models and dual-process models that combined SDT and high-threshold components (HTSDT), we identified two types of subjects. For those who were better described by HTSDT, the predicted convergence of remember-know and ROC measures was observed. For those who were better described by SDT, the ROC intercept could not predict the remember rate. The data are consistent with the idea that all subjects rely on the same representation but base their decisions on different partitions of a decision space.     

Cross-language computational investigation of the length effect in reading aloud

The authors examined whether 2 computational models of reading, the dual-route cascaded model (M. Coltheart, K. Rastle, C. Perry, R. Langdon, & J. C. Ziegler, 2001) and the connectionist 2-layer model (M. Zorzi, G. Houghton, & B. Butterworth, 1998), were able to predict the pattern that the length effect found in reading aloud is larger in German than in English (J. C. Ziegler, C. Perry, A. M. Jacobs, & M. Braun, 2001). The results showed that the dual-route cascaded model, which uses a serial mechanism for assembling phonology, successfully predicted this cross-language difference. In contrast, the connectionist model of Zorzi et al. (1998) predicted the opposite: a larger length effect in English than in German. Both the success of one model and the failure of the other highlight fundamental differences between 2 major classes of computational models.     

Context, remember-know recognition judgements, and ROC parameters

Recent work (e.g., Dunn, 2004; Heathcote, 2003) has questioned the necessity of postulating two processes to explain recognition memory. As part of this trend, strength theories of the remember-know methodology have gained in support. We present three experiments with pictorial material in which we force participants to use differential contextual information at test. Participants were required to give remember-know judgements and confidence ratings for each test stimulus. Hits, false alarms, remember-know data, and discrimination indices indicated systematic variations as a function of the availability and use of contextual information. Moreover, when we normalised the receiver operating characteristic data in terms of z-scores, the slopes were lower than 1 and slightly concave. Additionally, we computed the same set of statistical indices suggested by Wixted and Stretch (2004), with mixed results. Overall, we think that the data support a two-factor theory of remember-know and recognition, although many results fit well signal detection views of the task. Finally, the idea that remember and know responses are pure manifestations of recollection and familiarity seems difficult to sustain. We think that a productive use of the remember-know methodology involves the minimisation of the bias factors that may contaminate the responses, in addition to the introduction of the experimental manipulations needed to promote recollective and/or familiarity processes.     

Gender discrimination may be worse than you think: testing ordinal interactions in power research

The authors reanalyze the data of a study by S. M. Elias and R. J. Loomis (2004), which aimed to determine how an instructor's gender may influence his or her ability to gain student compliance. S. M. Elias and R. J. Loomis observed few significant gender effects using traditional multivariate analyses of variance. The authors reanalyze this data using the more appropriate statistical techniques for detecting ordinal interactions recommended by M. J. Strube and P. Bobko (1989) and S. M. Elias (2004). An ordinal interaction occurs when 1 cell of a 2 x 2 design is responsible for a significant interaction (e.g., female instructors suffering only when rated by male students). Reanalysis of the data resulted in more robust findings.     

A reformulation of the general Euclidean model for the external analysis of preference data

This paper discusses least squares methods for fitting a reformulation of the general Euclidean model for the external analysis of preference data. The reformulated subject weights refer to a common set of reference vectors for all subjects and hence are comparable across subjects. If the rotation of the stimulus space is fixed, the subject weight estimates in the model are uniquely determined. Weight estimates can be guaranteed nonnegative. While the reformulation is a metric model for single stimulus data, the paper briefly discusses extensions to nonmetric, pairwise, and logistic models. The reformulated model is less general than Carroll's earlier formulation.The author is grateful to Christopher J. Nachtsheim for his helpful suggestions.     

A Model of Ethical Decision Making From a Multicultural Perspective

Because shifts in the world's ethnic and racial demographics mean that the majority of the world's population is non‐White (M. D'Andrea & P. Arredondo, 1997), it is imperative that counselors develop a means for working ethically with a diverse clientele. In this article, the authors argue that the current Code of Ethics and Standards of Practice of the American Counseling Association (1995) does not adequately address the demands of working with non‐White, non‐Western clients. Using a universalist philosophy, an ethic of care (C. Gilligan, 1982; R. M. Kidder, 1995; J. G. Ponterotto & J. M. Casas, 1991), the context of power (M. Hill, K. Glaser, & J. Harden, 1995), and the process of acculturation, the authors offer a model for ethical decision making from a multicultural perspective.     

Why people underestimate y when extrapolating in linear functions

E. L. DeLosh, J. R. Busemeyer, and M. A. McDaniel (1997) found that when learning a positive, linear relationship between a continuous predictor (x) and a continuous criterion (y), trainees tend to underestimate y on items that ask the trainee to extrapolate. In 3 experiments, the authors examined the phenomenon and found that the tendency to underestimate y is reliable only in the so-called lower extrapolation region--that is, new values of x that lie between zero and the edge of the training region. Existing models of function learning, such as the extrapolation-association model (DeLosh et al., 1997) and the population of linear experts model (M. L. Kalish, S. Lewandowsky, & J. Kruschke, 2004), cannot account for these results. The authors show that with minor changes, both models can predict the correct pattern of results.     

On the importance of models in interpreting remember-know experiments: comments on Gardiner et al.'s (2002) meta-analysis

From a meta-analysis of recognition experiments using the remember-know-guess paradigm, Gardiner, Ramponi, and Richardson-Klavehn (2002) reported two findings that they viewed as evidence against the one-dimensional model for that paradigm: (1) Memory strength increased when know responses were added to remember responses, decreasing when guess responses were also included. (2) The accuracy of guess responses was correlated with the location of the old-new criterion in the one-dimensional model for the paradigm, implying that guesses were influenced by decision processes. We question both findings. The first result is contradicted by a signal-detection (SDT) analysis, which shows that both know and guess responses reduced estimated memory strength. The discrepancy results from the properties of A', the measure of accuracy used by Gardiner et al., which we argue is flawed. The second result follows directly from the one-dimensional model, in which accuracy and response criteria are fixed. The authors' reasons for rejecting the one-dimensional model are thus not persuasive, but it can nonetheless be rejected because ROC curves implied by the data are inconsistent with ROCs derived from ratings experiments. A two-dimensional SDT model (Rotello, Macmillan, & Reeder, 2004) accounts for both sets of data. The analysis illustrates the importance of models in interpreting remember--know data.     

Short-term memory after all: comment on Sederberg, Howard, and Kahana (2008)

P. B. Sederberg, M. W. Howard, and M. J. Kahana have proposed an updated version of the temporal-context model (TCM-A). In doing so, they accepted the challenge of developing a single-store model to account for the dissociations between short- and long-term recency effects that were reviewed by E. J. Davelaar, Y. Goshen-Gottstein, A. Ashkenazi, H. J. Haarmann, and M. Usher (2005). In this commentary, the authors argue that the success of TCM-A in addressing the dissociations is dependent not only on an episodic encoding matrix but--critically--also on its implicit use of a short-term memory store--albeit exponential rather than buffer-like. The authors also highlight some difficulties of TCM-A in accounting for these dissociations, and they argue that TCM-A fails to account for critical data--the presentation-rate effect--that dissociates exponential and buffer-like models.     

Dissociating conflict adaptation from feature integration: a multiple regression approach

Congruency effects are typically smaller after incongruent than after congruent trials. One explanation is in terms of higher levels of cognitive control after detection of conflict (conflict adaptation; e.g., M. M. Botvinick, T. S. Braver, D. M. Barch, C. S. Carter, & J. D. Cohen, 2001). An alternative explanation for these results is based on feature repetition and/or integration effects (e.g., B. Hommel, R. W. Proctor, & K.-P. Vu, 2004; U. Mayr, E. Awh, & P. Laurey, 2003). Previous attempts to dissociate feature integration from conflict adaptation focused on a particular subset of the data in which feature transitions were held constant (J. G. Kerns et al., 2004) or in which congruency transitions were held constant (C. Akcay & E. Hazeltine, in press), but this has a number of disadvantages. In this article, the authors present a multiple regression solution for this problem and discuss its possibilities and pitfalls.