Abstract
Two types of formal memory models can be distinguished: measurement models and computational models. Measurement models aim at measuring memory processes. In contrast, computational models focus on explaining the structures and processes underlying memory performance. Whereas measurement models involve a statistical framework for testing the model's assumptions, computational models often cannot be applied to empirical data directly. On the other hand, measurement models usually lack psychological theory, whereas computational models are formalized theories allowing for precise predictions. Using the computational model MINERVA2 as an example, it is shown that the gap between both types of formal models can be bridged quite easily by developing closed-form equations for the model's predictions. The resulting multinomial model combines the advantages of measurement models and computational models. The benefits are demonstrated by applying the model to two experiments on the global similarity effect and the list-length effect. The MINERVA 2-inspired multinomial model provides an excellent fit to the data, a coherent explanation of the effects, and statistically sound measures of the processes involved.
References
1998). An integrated theory of list memory. Journal of Memory and Language, 38, 341–380.
(1968). Association, synonymity, and directionality in false recognition. Journal of Experimental Psychology, 77, 171–179.
(1998). True and false recognition in MINERVA2: Explanations from a global matching perspective. Journal of Memory and Language, 39, 371–391.
(1990). Multinomial processing models of source monitoring. Psychological Review, 97, 548–564.
(1999). Theoretical and empirical review of multinomial process tree modeling. Psychonomic Bulletin and Review, 6, 57–86.
(1996). Source discrimination, item detection, and multinomial models of source monitoring. Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 197–215.
(2001). Modellbasierte Analyse globaler Gedächtnismodelle. Theoretische Grundlagen, methodische Probleme und experimentelle Befunde. Lengerich: Pabst.
(1997). The nature of memory processes underlying recognition judgments in the process dissociation procedure. Memory and Cognition, 25, 508–517.
(1995). Toward unbiased measurement of conscious and unconscious memory processes within the process dissociation framework. Journal of Experimental Psychology: General, 124, 137–160.
(1996). Global matching models of recognition memory: How the models match the data. Psychonomic Bulletin and Review, 3, 37–60.
(1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.
(1959). On the prediction of occurrence of particular verbal intrusions in immediate recall. Journal of Experimental Psychology, 58, 17–22.
(1999). MINERVA-DM: A memory processes model for judgments of likelihood. Psychological Review, 106, 180–209.
(2000). Multinomiale Modelle in der Kognitiven Psychologie. Unveröffentlichte Habilitationsschrift, Rheinische Friedrich-Wilhelms-Universität, Bonn.
(1998). Decomposing the hindsight bias: A multinomial processing tree model for separating recollection and reconstruction in hindsight. Journal of Experimental Psychology: Learning, Memory, and Cognition, 24, 387–414.
(1996). GPOWER: A general power analysis program. Behavior Research Methods, Instruments and Computers, 28, 1–11.
(1975). Some targets for mathematical psychology. Journal of Mathematical Psychology, 12, 263–283.
(1971). Abstraction of visual patterns. Journal of Experimental Psychology, 90, 65–74.
(1984). A retrieval model for both recognition and recall. Psychological Review, 91, 1–67.
(1998). Echoes of echoes? An episodic theory of lexical access. Psychological Review, 105, 251–279.
(1994). List-length effect: Recognition accuracy and variance of underlying distributions. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 1355–1369.
(2006). Remembering source evidence from associatively related items: Explanations from a global matching model. Journal of Experimental Psychology: Learning, Memory, and Cognition, 32, 1164–1173.
(1984). MINERVA 2: A simulation model of human memory. Behavior Research Methods, Instruments, and Computers, 16, 96–101.
(1986). “Schema abstraction” in a multiple-trace memory model. Psychological Review, 93, 411–428.
(1988). Judgments of frequency and recognition memory in a multiple-trace memory model. Psychological Review, 95, 528–551.
(1991). Why are formal models useful in psychology?. In W.E. HockleyS. LewandowskyEds., Relating theory and data: Essays on human memory in honor of Bennet B. Murdock (pp. 39–56). Hillsdale, NJ: Erlbaum.
(2001). Similarity, global matching, and judgments of frequency. Memory and Cognition, 29, 547–556.
(1992). Effects of similarity and repetition on memory: Registration without learning? Journal of Experimental Psychology: Learning, Memory, and Cognition, 18, 667–680.
(1990). Commensurability in memory for frequency. Journal of Memory and Language, 29, 501–523.
(1999). Multinomial processing tree models: An implementation. Behavior Research Methods, Instruments and Computers, 31, 689–695.
(1994). The statistical analysis of general processing tree models with the EM algorithm. Psychometrika, 59, 21–47.
(1989). Different ways to cue a coherent memory system: A theory for episodic, semantic, and procedural tasks. Psychological Review, 96, 208–233.
(1989). Global matching: A comparison of the SAM, Minerva II, Matrix, and TODAM models. Journal of Mathematical Psychology, 33, 36–67.
(1991). A process dissociation framework: Separating automatic from intentional uses of memory. Journal of Memory and Language, 30, 513–541.
(1993). An evaluation of the total similarity principle: Effects of similarity on frequency judgments. Journal of Experimental Psychology: Learning, Memory, and Cognition, 19, 799–812.
(1998). Unraveling social categorization in the “Who said what?” paradigm.. Journal of Personality and Social Psychology, 75, 1155–1178.
(2006). Some targets for memory models. Journal of Memory and Language, 55, 441–446.
(1991). Detection theory: A user's guide. Cambridge: Cambridge University Press.
(1980). Recognizing: The judgment of previous occurrence. Psychological Review, 87, 252–271.
(1998). Familiarity breeds differentiation: A subjective-likelihood approach to the effects of experience in recognition memory. Psychological Review, 105, 734–760.
(2002). Memory for multidimensional source information. Journal of Experimental Psychology: Learning, Memory, and Cognition, 28, 116–137.
(1982). A composite holographic associative recall model. Psychological Review, 89, 627–661.
(1982). A theory for the storage and retrieval of item and associative information. Psychological Review, 89, 609–626.
(1997). Context and mediators in a theory of distributed associative memory (TODAM2). Psychological Review, 104, 839–862.
(1993). Analysis of the list-strength effect. Journal of Experimental Psychology: Learning, Memory, and Cognition, 19, 689–697.
(1965). A simplex method for function minimization. Computer Journal, 7, 308–313.
(1996). Memory illusions: Recalling, recognizing, and recollecting events that never occurred. Journal of Memory and Language, 35, 261–285.
(1984). Comparison of convolution and matrix distributed memory systems for associative recall and recognition. Psychological Review, 91, 281–294.
(1970). Retention of abstract ideas. Journal of Experimental Psychology, 83, 304–308.
(1980). SAM: A theory of probabilistic search of associative memory. In G.H. BowerEd., The psychology of learning and motivation (Vol. 14, pp. 207–262). New York: Academic Press.
(1981). Search of associative memory. Psychological Review, 88, 93–134.
(1990). List-strength effect: I. Data and discussion. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 163–178.
(1995). Process dissociation, single-process theories, and recognition memory. Journal of Experimental Psychology: General, 124, 352–374.
(1988). Multinomial modeling and the measurement of cognitive processes. Psychological Review, 95, 318–339.
(1995). Creating false memories: Remembering words not presented in lists. Journal of Experimental Psychology: Learning, Memory, and Cognition, 21, 803–814.
(2001). Recall processes in recognition memory. In D.L. MedinEd., The psychology of learning and motivation: Advances in research and theory (pp. 183–221). San Diego, CA: Academic Press.
(1999). AppleTree: A multinomial processing tree modeling program for Macintosh computers. Behavior Research Methods, Instruments and Computers, 31, 696–700.
(1974). The declining course of recognition memory. Memory and Cognition, 2, 14–18.
(1992). A note on the multiple-trace memory model without simulation. Journal of Mathematical Psychology, 36, 592–597.
(1990). List-strength effect: II. Theoretical mechanisms. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 179–195.
(1997). A model for recognition memory: REM-retrieving effectively from memory. Psychonomic Bulletin & Review, 4, 145–166.
(1991). Illusory correlation in a simulated exemplar-based memory. Journal of Experimental Social Psychology, 27, 107–123.
(2004). A multinomial model of event-based prospective memory. Journal of Experimental Psychology: Learning, Memory, and Cognition, 30, 756–777.
(2005). The effects of working memory resource availability on prospective memory: A formal modeling approach. Experimental Psychology, 52, 243–256.
(1988). Pragmatics of measuring recognition memory: Applications to dementia and amnesia. Journal of Experimental Psychology: General, 117, 34–50.
(in press ). HMMTree: A computer program for latent-class hierachical processing tree models. Behavior Research Methods, Instruments and Computers.2000). Further evidence on the similarity of memory processes in the process dissociation procedure and in source monitoring. Memory and Cognition, 28, 1152–1164.
(1970). Abstraction over time of prototypes from distortions of random dot patterns: A replication. Journal of Experimental Psychology, 83, 508–510.
(1912). The effect of length of series upon recognition memory. Psychological Review, 19, 447–462.
(1994). Receiver-operating characteristics in recognition memory: Evidence for a dual-process model. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 1341–1354.
(2002). The nature of recollection and familiarity: A review of 30 years of research. Journal of Memory and Language, 46, 441–517.
(1992). Tests of the list-strength effect in recognition memory. Journal of Experimental Psychology Learning, Memory, and Cognition, 18, 345–355.
(2001). Exemplar accounts of blending and distinctiveness effects in perceptual old-new recognition. Journal of Experimental Psychology: Learning, Memory, and Cognition, 27, 1022–1041.
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