Abstract
The present series of 4 experiments investigated the probability of responding in accord with equivalence in adult human participants as a function of increasing or decreasing delays in a many-to-one (MTO) or comparison-as-node and one-to-many (OTM) or sample-as-node conditional discrimination procedure. In Experiment 1, 12 participants started with simultaneous matching, followed by O-s, 2-s, and 4-s delayed matching, while the other 12 participants started with 4-s delayed matching, followed by the decreasing delays in a MTO training structure. Results suggested that the likelihood of responding in accord with equivalence is enhanced as a function of increasing delays during training, and also that starting with longer delays increases the probability of responding in accord with equivalence in simultaneous matching. In Experiment 2,6 participants started with simultaneous matching, followed by O-s, 2-s, and 4-s delayed matching in a OTM training structure. Results showed that 6 of 6 participants responded in accord with equivalence. In Experiment 3, 6 participants started with simultaneous matching, followed by O-s, 3-s, and 9-s delayed matching in a OTM training structure. Results showed that 6 of 6 participants responded in accord with equivalence. In Experiment 4, 6 participants started with simultaneous matching, followed by O-s and 3-s delayed matching with a restriction to engage in mediating behavior during testing. Results showed that none of the 6 participants responded in accord with equivalence during 3-s delay. It is argued that if delayed matching mquires (or evokes) precurrent behavior (responses that increase the effectiveness of a subsequent current behavior in obtaining a reinforcer), precurrent behavior may in turn facilitate responding in accord with equivalence. Higher reaction times durin~l initial testing may indicate precurrent problem-solving behavior prior to the selection of a comparison stimulus.
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References
ARNTZEN, E. (2004). Probability of equivalence formation: Familiar stimuli and training sequence. The Psychological Record, 54, 275–291.
ARNTZEN, E., & HOLTH, P. (1997). Probability of stimulus equivalence as a function of training design. The Psychological Record, 47, 309–320.
ARNTZEN, E., & HOLTH, P. (2000a). Differential probabilities of equivalence outcome in individual subjects as a function of training structure. The Psychological Record, 50, 603–628.
ARNTZEN, E., & HOLTH, P. (2000b). Probability of stimulus equivalence as a function of class size vs. number of classes. The Psychological Record, 50, 79–104.
BARNES, D. (1994). Stimulus equivalence and relational frame theory. The Psychological Record, 44, 91–124.
BARNES, D., HEGARTY, N., & SMEETS, P. M. (1997). Relating equivalence relations to equivalence relations: A relational framing model complex human functioning. The Analysis of Verbal Behavior, 14, 57–83.
BENTALL, R. P., DICKINS, D. W., & FOX, S. R. A. (1993). Naming and equivalence: Response latencies for emergent relations. The Quarterly Journal of Experimental Psychology: Comparative and Physiological Psychology, 46B, 187–214.
BLOUGH, D. (1959). Delayed matching in the pigeon. Journal of the Experimental Analysis of Behavior, 2, 151–160.
BUFFINGTON, D. M., FIELDS, L, & ZDAMS, B. J. (1997). Enhancing equivalence class formation by pretraining of other equivalence classes. The Psychological Record, 47, 69–96.
CLEAVELAND, J. M. (1998). Stimulus properties of the response during matching-to-sample tasks in pigeons and budgerigars. Dissertation Abstracts International Section B: The Sciences and Engineering, 59, 1833.
CRITCHFIELD, T. S., & PERONE, M. (1993). Verbal self reports about matching to sample: Effects of the number of elements in a compound sample stimulus. Journal of the Experimental Analysis of Behavior, 59, 193–214.
CUMMING, W. W., & BERRYMAN, R. (1965). The complex discriminated operant: Studies of matching-to-sample and related problems. In D. I. Mostofsky (Ed.), Stimulus generalization (pp. 284–330). Stanford, CA: Stanford University Press.
DE ROSE, J. C. (1996). Controlling factors in conditional discriminations and tests of equivalence. In T. R. Zentall & P. M. Smeets (Eds.), Stimulus class formation in humans and animals (pp. 253–277). Amsterdam: Elsevier.
DONAHOE, J. W., & PALMER, D. C. (1994). Learning and complex behavior. Boston: Allyn and Bacon.
DUGDALE, N., & LOWE, C. F. (1990). Naming and stimulus equivalence. In D. E. Blackman & H. Lejeune (Eds.), Behaviour analysis in theory and practice: Contributions and controversies (pp. 115–138). Hillsdale, NJ: Erlbaum.
ERICSSON, K. A., & SIMON, H. A. (1984). Protocol analysis. Verbal reports as data. Cambridge, MA: The Mit Press.
FIELDS, L, REEVE, K. F., ROSEN, D., VARELAS, A., ADAMS, B. J., BELANICH, J., et al. (1997). Using the simultaneous protocol to study equivalence class formation: The facilitating effects of nodal number and size of previously established equivalence classes. Journal of the Experimental Analysis of Behavior, 67, 367–389.
FIELDS, L., REEVE, K. F., VARELAS, A., ROSEN, D., & BELANICH, J. (1997). Equivalence class formation using stimulus-pairing and yes-no. The Psychological Record, 47, 661–686.
GREEN, G., MACKAY, H. A., MCILVANE, W. J., SAUNDERS, R. R., & SORACI, S. A. (1990). Perspectives on relational learning in mental retardation. American Journal of Mental Deficiency, 95, 249–259.
HARTL, J. A., DOUGHERTY, D. H., & WIXTED, J. T. (1996). Separating the effects of trial-specific and average sample-stimulus duration in delayed matching to sample in pigeons. Journal of the Experimental Analysis of Behavior, 66, 231–242.
HARTL, J. A., & FANTINO, E. (1996). Choice as a function of reinforcement ratios in delayed matching to sample. Journal of the Experimental Analysis of Behavior, 66, 11–27.
HEALY, O., BARNES-HOLMES, D., & SMEETS, P. M. (2000). Derived relational responding as generalized operant behavior. Journal of the Experimental Analysis of Behavior, 74, 207–227.
HOLTH, P., & ZRNTZEN, E. (1998a). Stimulus familiarity and the delayed emergence of stimulus equivalence or consistent nonequivalence. The Psychological Record, 48, 81–110.
HOLTH, P., & ZRNTZEN, E. (1998b). Symmetry versus sequentiality related to prior training, sequential dependency of stimuli, and verbal labeling. The Psychological Record, 48, 293–315.
HOLTH, P., & ZRNTZEN, E. (2000). Reaction times and the emergence of class consistent responding: A case for precurrent responding? The Psychological Record, 50, 305–338.
HORNE, P. J., & LOWE, C. F. (1996). On the origins of naming and other symbolic behavior. Journal of the Experimental Analysis of Behavior, 65, 181–241.
HOVE, O. (2003). Differential probability of equivalence class formation following a one-to-many versus a many-to-one training structure. The Psychological Record, 53, 617–634.
HUNTER, W. S. (1913). The delayed reaction in animals and children. American Journal of Psychology, 35, 86.
IMAM, A. A. (2001). Speed contingencies, number of stimulus presentations, and the nodality effect in equivalence formation. Journal of the Experimental Analysis of Behavior, 76, 265–288.
JANS, J. J., & CATANIA, A. C. (1980). Short-term remembering of discriminative stimuli in pigeons. Journal of the Experimental Analysis of Behavior, 34, 177–183.
JOHNSON, O, & SIDMAN, M. (1993). Conditional discrimination and equivalence relations: Control by negative stimuli. Journal of the Experimental Analysis of Behavior, 59, 333–347.
LANE, S. D., & CRITCHFIELD, T. S. (1996). Verbal self-reports of emergent relations in a stimulus equivalence procedure. Journal of the Experimental Analysis of Behavior, 65, 355–374.
LANE, S. D., & CRITCHFIELD, T. S. (1998). Classifications of vowels and consonants by individuals with moderate and mental retardation: Development of arbitrary relations via matching-to-sample training with compound stimuli. Journal of Applied Behavior Analysis, 31, 21–41.
LAZAR, R., DAVIS-LANG, D., & SANCHEZ, L. (1984). The formation of visual stimulus equivalence in children. Journal of the Experimental Analysis of Behavior, 41, 251–266.
LOWE, C. F., & BEASTY, A. (1987). Language and the emergence of equivalence relations: A developmental study. Bulletin of the British Psychological Society, 40, A42.
O’DONNELL, J., & SAUNDERS, K. J. (2003). Equivalence relations in individuals with language limitations and mental retardation. Journal of the Experimental Analysis of Behavior, 80, 131–157.
PALMER, D. C. (1991). A behavioral interpretation of memory. In L. J. Hayes & P. N. Chase (Eds.), Dialogues on verbal behavior (pp. 261–279). Reno, NY: Context Press.
PALMER, D. C. (2003). Cognition. In K. A. Lattai & P. N. Chase (Eds.), Behavior theory and philosophy (pp. 167–185). New York: Kluwer Academic Press.
PARSONS, J. A., & FERRARO, D. P. (1977). Complex interactions: A functional approach. In B. C. Etzel, J. M. Le Blanc, & D. M. Baer (Eds.), New developments in behavioral research: Theory, method, and application. In honor of Sidney W. Bijou (pp. 237–245). Hillsdale, NJ: Erlbaum.
PARSONS, J. A., TAYLOR, D. O., & JOYCE, T. M. (1981). Precurrent self-prompting operants in children: Remembering. Journal of the Experimental Analysis of Behavior, 36, 253–266.
PAULE, M. G., BUSHNELL, P. J., MAURISSEN, J. P. J., WENGER, G. R., BUCCAFUSCO, J. J., CHELONIS, J. J., et al. (1998). Symposium overview: The use of delayed matching-to-sample procedures in studies of short-term memory in animals and humans. Neurotoxicology and Teratology, 20, 493–502.
POTTER, B., HUBER, S., & MICHAEL, J. (1997). The role of mediating verbal behavior in selection-based responding. The Analysis of Verbal Behavior, 14, 41–56.
REHFELDT, A., & HAYES, L. J. (2000). The long-term retention of generalized equivalence. The Psychological Record, 50, 405–428.
REHFELDT, A. R., DIXON, M. R., HAYES, L J., & STEELE, A. (1998). Stimulus equivalence and the blocking effect. The Psychological Record, 48, 647–664.
SARGISSON, R. J., & WHITE, K. G. (2001). Generalization of delayed matching to sample following training at different delays. Journal of the Experimental Analysis of Behavior, 75, 1–14.
SATO, T. (2001). The function of common naming and establishment of stimulus equivalence. Japanese Journal of Behavior Analysis, 16, 2–21.
SAUNDERS, K. J., SAUNDERS, R. R., WILLIAMS, D. O., & SPRADLIN, J. E. (1993). An interaction of instructions and training design on stimulus class formation: Extending the analysis of equivalence. The Psychological Record, 43, 725–744.
SAUNDERS, R. R., DRAKE, K. M., & SPRADLIN, J. E. (1999). Equivalence class development, expansion, and modification in preschool children. Journal of the Experimental Analysis of Behavior, 71, 195–214.
SAUNDERS, R. R., & GREEN, G. (1999). A discrimination analysis of training structure effects on stimulus equivalence outcomes. Journal of the Experimental Analysis of Behavior, 72, 117–137.
SAUNDERS, R. R., & MCENTEE, J. (2004). Increasing the probability of stimulus equivalence with adults with mild mental retardation. The Psychological Record, 54, 340–356.
SAUNDERS, R. R., WACHTER, J. A., & SPRADLIN, J. E. (1988). Establishing auditory stimulus control over an eight-member equivalence class via conditional discrimination procedure. Journal of the Experimental Analysis of Behavior, 49, 95–115.
SHIMOFF, E. (1984). Post-session questionnaires. Experimental Analysis of Human Behavior Bulletin, 2, 1.
SIDMAN, M. (1986). Functional analysis of emergent verbal classes. In T. Thompson & M. D. Zeiler (Eds.), Analysis and integration of behavioral units (pp. 213–245). Hillsdale, NJ: Lawrence Erlbaum.
SIDMAN, M. (1990). Equivalence relations: Where do they come from? In D. E. Blackman & H. Lejeune (Eds.), Behaviour analysis in theory and practice: Contributions and controversies (pp. 93–114). Hillsdale, NJ: Erlbaum.
SIDMAN, M. (1992). Equivalence relations: Some basic considerations. In S. C. Hayes & L. J. Hayes (Eds.), Understanding verbal relations (pp. 15–27). Reno, NY: Context Press.
SIDMAN, M. (1994). Equivalence relations and behavior: A research story. Boston: Authors Cooperative.
SIDMAN, M., & TAILBY, W. (1982). Conditional discrimination vs. matching to sample: An expansion of the testing paradigm. Journal of the Experimental Analysis of Behavior, 37, 5–22.
SIDMAN, M., WILLSON-MORRIS, M., & KIRK, B. (1986). Matching-to-sample procedures and the development of equivalence relations: The role of naming. Analysis and Intervention in Developmental Disabilities, 6, 1–29.
SKINNER, B. F. (1968). The technology of teaching. New York: Prentice-Hall, Inc.
SPENCER, T. J., & CHASE, P. N. (1996). Speed analysis of stimulus equivalence. Journal of the Experimental Analysis of Behavior, 65, 643–659.
SPRADLIN, J. E., & SAUNDERS, R. R. (1986). The development of stimulus classes using match-to-sample procedures: Sample classification versus comparison classification. Analysis and Intervention in Developmental Disabilities, 6, 41–58.
STOKES, T. F., & BAER, D. M. (2003). Mediated generalization: An unfinished portrait. In K. S. Budd & T. F. Stokes (Eds.), A small matter of proof: The legacy of Donald M. Baer (pp. 125–138). Reno, NY: Context Press.
STROMER, R., & MACKAY, H. A. (1992). Spelling and emergent picture-printed word relations established with delayed identity matching to complex samples. Journal of Applied Behavior Analysis, 25, 893–904.
STROMER, R., & MACKAY, H. A. (1996). Naming and the formation of stimulus classes. In T. R. Zentall & P. M. Smeets (Eds.), Stimulus class formation in humans and animals (pp. 221–252). Amsterdam: Elsevier.
TORGRUD, L. J., & HOLBORN, S. W. (1989). Effectiveness and persistence of precurrent mediating behavior in delayed matching to sample and oddity matching with children. Journal of the Experimental Analysis of Behavior, 52, 181–191.
URCUIOLI, P. J., DEMARSE, T. B., & LIONELLO, K. M. (1999). Sample-duration effects on pigeons’ delayed matching as a function of predictability of duration. Journal of the Experimental Analysis of Behavior, 72, 279–297.
URCUIOLI, P. J., & ZENTALL, T. R. (1986). Retrospective coding in pigons’ delayed matching. Journal of Experimental Psychology: Animal Behavior Processes, 12, 69–77.
WATSON, J. B. (1920). Is thinking merely the action of language mechanism? British Journal of Psychology, 11, 87–104.
WIRTH, O., & CHASE, P. N. (2002). Stability of functional equivalence and stimulus equivalence: Effects of baseline reversals. Journal of the Experimental Analysis of Behavior, 77, 29–47.
WIXTED, J. T. (1989a). Nonhuman short-term memory: A quantitative reanalysis of selected findings. Journal of the Experimental Analysis of Behavior, 52, 409–426.
WIXTED, J. T. (1989b). The vocabulary of remembering: A review of Kendrick, Rilling, and Denny’s Theories of Animal Memory. Journal of the Experimental Analysis of Behavior, 52, 441–450.
WULFERT, E., DOUGHER, M. J., & GREENWAY, D. E. (1991). Protocol analysis of the correspondence of verbal behavior and equivalence class formation. Journal of the Experimental Analysis of Behavior, 56, 489–504.
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Parts of the current study were presented as a paper at the ABA convention in San Francisco in 2003.
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Arntzen, E. Delayed Matching to Sample: Probability of Responding in Accord with Equivalence as a Function of Different Delays. Psychol Rec 56, 135–167 (2006). https://doi.org/10.1007/BF03395541
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DOI: https://doi.org/10.1007/BF03395541