Equivalence class formation: A method for teaching statistical interactions

Journal of Applied Behavior Analysis

Volumn 42, Issue 3, 2009, Pages 575-593

  Fields, Lanny ^a   Travis, Robert ^a   Roy, Deborah ^b   Yadlovker, Eytan ^a   De Aguiar Rocha, Liliane ^a   Sturmey, Peter ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b UNIVERSITY OF ULSTER   (United Kingdom)

Author keywords

College students; Computer based training; Equivalence classes; Generalization to novel exemplars

Indexed keywords

ARTICLE; CONCEPT FORMATION; CURRICULUM; DISCRIMINATION LEARNING; HUMAN; INTERPERSONAL COMMUNICATION; LEARNING; PHYSIOLOGY; PSYCHOLOGICAL ASPECT; PSYCHOMOTOR PERFORMANCE; STUDENT; TEACHING;

ASSOCIATION LEARNING; COMMUNICATION; CONCEPT FORMATION; CURRICULUM; DISCRIMINATION LEARNING; GENERALIZATION (PSYCHOLOGY); HUMANS; PSYCHOMOTOR PERFORMANCE; STUDENTS; TEACHING;

EID: 77952521030     PISSN: 00218855     EISSN: None     Source Type: Journal    
DOI: 10.1901/jaba.2009.42-575     Document Type: Article

References (52)

1. Adams, B. J., Fields, L., & Verhave, T. (1993). Formation of generalized equivalence classes. The Psychological Record, 43, 553-566.
2. Arntzen, E., & Holth, P. (1997). Probability of stimulus equivalence as a function of training design. The Psychological Record, 47, 309-320.
3. Belanich, J., & Fields, L. (2003). Generalized equivalence classes as response transfer networks. The Psychological Record, 53, 373-414.
4. Bradstreet, T. E. (1996). Teaching introductory statistics courses so that nonstatisticians experience statistical reasoning. The American Statistician, 50, 69-78.
5. Branch, M. (1994). Stimulus generalization, stimulus equivalence, and response hierarchies. In S. C. Hayes, L. J. Hayes, M. Sato, & K. Ono (Eds.), Behavior analysis of language and cognition (pp. 51-70). Reno, NV: Context Press.
6. Carrigan, P. F., & Sidman, M. (1992). Conditional discrimination and equivalence relations: A theoretical analysis of control by negative stimuli. Journal of the Experimental Analysis of Behavior, 58, 183-204.
7. Christopher, A. N., & Marek, P. (2002). A sweet tasting demonstration of random occurrences. Teaching of Psychology, 29, 122-125.
8. Cohen, J. (1992). A power primer. Psychological Bulletin, 112, 155-159.
9. Connell, J. E., & Witt, J. C. (2004). Applications of computer-based instruction: Using specialized software to aid letter-name and letter-sound recognition. Journal of Applied Behavior Analysis, 37, 67-71.
10. Cowley, B. J., Green, G., & Braunling-McMorrow, D. (1992). Using stimulus equivalence procedures to teach name-face matching to adults with brain injuries. Journal of Applied Behavior Analysis, 25, 461-475.
11. Davidson, G. V., & Kroll, D. L. (1991). An overview of research on cooperative learning related to mathematics. Journal of Research in Mathematics Education, 22, 362-365.
12. de Rose, J. C., de Souza, D. G., & Hanna, E. S. (1996). Teaching reading and spelling: Exclusion and stimulus equivalence. Journal of Applied Behavior Analysis, 29, 451-469.
13. Fields, L., Matneja, P., Varelas, A., Belanich, J., Fitzer, A., & Shamoun, K. (2002). The formation of linked perceptual classes. Journal of the Experimental Analysis of Behavior, 78, 271-290.
14. Fields, L., & Reeve, K. F. (2000). Synthesizing equivalence classes and natural categories from perceptual and relational classes. In J. C. Leslie & D. Blackman (Eds.), Experimental and applied analysis of human behavior (pp. 59-83). Reno, NV: Context Press.
15. Fields, L., & Reeve, K. F. (2001). A methodological integration of generalized equivalence classes, natural categories, and cross-modal perception. The Psychological Record, 51, 67-87.
16. Fields, L., Reeve, K. F., Adams, B. J., & Verhave, T. (1991). Stimulus generalization and equivalence classes: A model for natural categories. Journal of the Experimental Analysis of Behavior, 55, 305-312.
17. 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.
18. Fields, L., & Verhave, T. (1987). The structure of equivalence classes. Journal of the Experimental Analysis of Behavior, 48, 317-332.
19. Fields, L., Verhave, T., & Fath, S. (1984). Stimulus equivalence and transitive associations: A methodological analysis. Journal of the Experimental Analysis of Behavior, 42, 143-157.
20. Galizio, M., Stewart, K. L., & Pilgrim, C. (2004). Typicality effects in contingency-shaped generalized equivalence classes. Journal of the Experimental Analysis of Behavior, 82, 253-273.
21. Green, G., & Saunders, R. R. (1998). Stimulus equivalence. In K. A. Lattal & M. Perone (Eds.), Handbook of research methods in human operant behavior (pp. 229-262). New York; Plenum.
22. Guercio, J. M., Podolska-Schroeder, H., & Rehfeldt, R. A. (2004). Stimulus equivalence technology to teach emotion recognition skills to adults with acquired brain injury. Brain Injury, 18, 593-601.
23. Hinde, R. J., & Kovac, J. (2001). Student active learning methods in physical chemistry. Journal of Chemical Education, 78, 93-99.
24. Imam, A. (2006). Experimental control of nodality via equal presentations of conditional discriminations in different equivalence protocols under speed and no-speed conditions. Journal of the Experimental Analysis of Behavior, 85, 107-124.
25. Johnson, C., & Sidman, M. (1992). Conditional discriminations and equivalence relations: Control by negative stimuli. Journal of the Experimental Analysis of Behavior, 59, 333-347.
26. Keller, F. S. (1968). Good-bye teacher. Journal of Applied Behavior Analysis, 1, 79-89.
27. Keller, F. S., & Schoenfeld, W. N. (1950). Principles of psychology. New York: Appleton-Century-Crofts.
28. Lane, S. D., Clow, J. K., Innis, A., & Critchfield, T. S. (1998). Generalization of cross-modal stimulus equivalence classes: Operant processes as components in human category formation. Journal of the Experimental Analysis of Behavior, 70, 267-280.
29. LeBlanc, L. A., Miguel, C. F., Cummings, A. R., Goldsmith, T. R., & Carr, J. E. (2003). The effects of three stimulus-equivalence testing conditions on emergent US geography relations of children diagnosed with autism. Behavioral Interventions, 18, 279-289.
30. Lievens, F., Buyse, T., & Sackett, P. R. (2005). Retest effects in operational selection settings: Development and test of a framework. Personnel Psychology, 58, 981-1007.
31. Lynch, D. C., & Cuvo, A. J. (1995). Stimulus equivalence instruction of fraction-decimal relations. Journal of Applied Behavior Analysis, 28, 115-126.
32. Mulhern, G., & Wylie, J. (2004). Changing levels of numeracy and other core mathematical skills among psychology undergraduates between 1992 and 2002. British Journal of Psychology, 95, 355-370.
33. Nasser, F. (1999). Prediction of statistics achievement. In Proceedings of the International Statistical Institute 52nd Conference (Vol. 3, pp. 7-8). Helsinki, Finland.
34. Ninness, C., Barnes-Holmes, D., Rumph, R., McCuller, G., Ford, A. M., Payne, R., et al. (2006). Transformations of mathematical and stimulus functions. Journal of Applied Behavior Analysis, 39, 299-321.
35. Pear, J. J., & Crone-Todd, D. E. (1999). Personalized systems of instruction in cyberspace. Journal of Applied Behavior Analysis, 32, 205-209.
36. Peden, B. F. (2001). Correlational analysis and interpretation: Graphs prevent gaffes. Teaching of Psychology, 28, 129-131.
37. Rosenthal, B. (1992). No more sadistics, no more sadists, no more victims [editorial]. UMAP Journal, 13, 281-290.
38. Saunders, R. R., Chaney, L., & Marquis, J. G. (2005). Equivalence class establishment with two, three, and four-choice matching-to-sample by senior citizens. The Psychological Record, 55, 539-559.
39. 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.
40. Seipel, S. J., & Apigian, C. H. (2005). Perfectionism in students: Implications in the instruction of statistics. Journal of Statistics Education, 13, Retrieved February 16, 2006, from http://www.amstat.org/publications.jse/ v13n2/seipel.html
41. Sidman, M. (1971). Reading and audio-visual equivalences. Journal of Speech and Hearing Research, 14, 5-13.
42. Sidman, M. (1986). The measurement of behavioral development. In N. A. Krasnegor, D. B. Gray, & T. Thompson (Eds.), Advances in behavioral pharmacology: Vol. 5. Developmental behavioral pharmacology (pp. 43-52). Hillsdale, NJ: Erlbaum.
43. Sidman, M. (1987). Two choices are not enough. Behavior Analysis, 22, 11-18.
44. Sidman, M., & Cresson, O., Jr. (1973). Reading and crossmodal transfer of stimulus equivalence in severe retardation. American Journal of Mental Deficiency, 77, 515-523.
45. Sidman, M., Kirk, B., & Willson-Morris, M. (1985). Six-member stimulus classes generated by conditional-discrimination procedures. Journal of the Experimental Analysis of Behavior, 43, 21-42.
46. Sidman, M., & Tailby, W. (1982). Conditional discrimination vs. match-to-sample: An expansion of the testing paradigm. Journal of the Experimental Analysis of Behavior, 37, 5-22.
47. Simon, J. L., & Bruce, P. (1991). Resampling: A tool for everyday statistical work. Chance, 4, 23-32.
48. Skinner, B. F. (1968). The technology of teaching. Engle-wood Cliffs, NJ: Prentice Hall.
49. Smeets, P. M., & Barnes-Holmes, D. (2005). Establishing equivalence classes in preschool children with one-to-many and many-to-one training protocols. Behavioural Processes, 69, 281-293.
50. Stokes, T. F., & Baer, D. M. (1977). An implicit technology of generalization. Journal of Applied Behavior Analysis, 10, 349-367.
51. Ward, L. G., & Kaflowitz, N. G. (1986). Issues in research training ⋯ again? Counseling Psychologist, 14, 139-145.
52. Wing, H. (1980). Practice effects with traditional mental test items. Applied Psychological Measurement, 4, 141-155.