Utilizing topology to generate and test theories of change

Psychological Methods

Volumn 20, Issue 1, 2015, Pages 1-25

  Butner, Jonathan E ^a   Gagnon, Kyle T ^a   Geuss, Michael N ^a   Lessard, David A ^a   Nathan Story, T ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

Change; Dynamical systems; Modeling; Topology

Indexed keywords

HUMAN; MATHEMATICAL PHENOMENA; PSYCHOLOGICAL MODEL;

HUMANS; MATHEMATICAL CONCEPTS; MODELS, PSYCHOLOGICAL;

EID: 84926336229     PISSN: 1082989X     EISSN: None     Source Type: Journal    
DOI: 10.1037/a0037802     Document Type: Article

References (61)

1. Abraham, R., & Shaw, C. D. (1992). Dynamics: The geometry of behavior. (2nd ed.). Redwood City, CA: Addison-Wesley.
2. Aiken, L. S., & West, S. G. (1991). Multiple regression: Testing and interpreting interactions. Thousand Oaks, CA: Sage.
3. Baker, G. L., & Gollub, J. P. (1996). Chaotic dynamics: An introduction. (2nd ed.). Cambridge, England: Cambridge University Press. doi: 10.1017/CBO9781139170864
4. Baucom, B. R., & Eldridge, K. A. (2013). Marital communication. In A. L. Vangelisti (Ed.), The Routledge handbook of family communication (2nd ed., pp. 65-79). New York, NY: Routledge.
5. Boker, S. M. (2001). Differential structural equation modeling of intraindividual variability. In L. M. Collins & A. G. Sayer (Eds.), New methods for the analysis of change (pp. 5-26). Washington, DC: American Psychological Association. doi:10.1037/10409-001
6. Boker, S. M., Deboeck, P. R., Edler, C., & Keel, P. K. (2010). Generalized local linear approximation of derivatives from time series. In S.-M. Chow, E. Ferrer, & F. Hsieh (Eds.), Statistical methods for modeling human dynamics: An interdisciplinary dialogue (pp. 161-178). New York, NY: Routledge.
7. Boker, S. M., Neale, M. C., & Rausch, J. R. (2003). Latent differential equation modeling with multivariate multi-occasion indicators. In K. van Montfort, H. Oud, & A. Satorra (Eds.), Recent developments on structural equation models: Theory and applications (pp. 151-174). Amsterdam, the Netherlands: Kluwer.
8. Boker, S. M., & Nesselroade, J. R. (2002). A method for modeling the intrinsic dynamics of intraindividual variability: Recovering parameters of simulated oscillators in multi-wave panel data. Multivariate Behavioral Research, 37, 127-160. doi:10.1207/S15327906MBR3701_06
9. Butner, J., Amazeen, P., & Mulvey, G. (2005). Multilevel modeling of two cyclical processes: Extending differential structural equation modeling to coupled systems. Psychological Methods, 10, 159-177. doi:10.1037/1082-989X.10.2.159
10. Butner, J., Diamond, L. M., & Hicks, A. M. (2007). Attachment style and two forms of affect coregulation between romantic partners. Personal Relationships, 14, 431-455. doi:10.1111/j.1475-6811.2007.00164.x
11. Butner, J., & Story, T. N. (2011). Oscillators with differential equations. In S. J. Guastello & R. A. M. Gregson (Eds.), Nonlinear dynamical systems analysis for the behavioral sciences using real data (pp. 367-400). Boca Raton, FL: CRC Press.
12. Campbell, L., Simpson, J. A., Boldry, J., & Kashy, D. A. (2005). Perceptions of conflict and support in romantic relationships: The role of attachment anxiety. Journal of Personality and Social Psychology, 88, 510-531. doi:10.1037/0022-3514.88.3.510
13. Chow, S.-M., Ram, N., Boker, S. M., Fujita, F., & Clore, G. (2005). Emotion as a thermostat: Representing emotion regulation using a damped oscillator model. Emotion, 5, 208-225. doi:10.1037/1528-3542.5.2.208
14. Cohen, J., Cohen, P., West, S. G., & Aiken, L. S. (2003). Applied multiple regression/correlation analysis for the behavioral sciences. (3rd ed.). Mahwah, NJ: Erlbaum.
15. Collins, N. L., & Feeney, B. C. (2000). A safe haven: An attachment theory perspective on support seeking and caregiving in intimate relationships. Journal of Personality and Social Psychology, 78, 1053-1073. doi: 10.1037/0022-3514.78.6.1053
16. Cronbach, L. (1975). Beyond the two disciplines of scientific psychology. American Psychologist, 30, 116-127. doi:10.1037/h0076829
17. Deboeck, P. R. (2010). Estimating dynamical systems, derivative estimation hints from Sir Ronald A. Fisher. Multivariate Behavioral Research, 45, 725-745. doi:10.1080/00273171.2010.498294
18. Deboeck, P. R., Montpetit, M. A., Bergeman, C. S., & Boker, S. M. (2009). Describing intraindividual variability at multiple time scales using derivative estimates. Psychological Methods, 14, 367-386. doi:10.1037/a0016622
19. Diamond, L. M., & Hicks, A. M. (2004). Psychobiological perspectives on attachment: Implications for health over the lifespan. In J. A. Simpson & W. S. Rholes (Eds.), Adult attachment: New directions and emerging issues (pp. 240-263). New York, NY: Guilford Press.
20. Dutilh, G., Wagenmakers, E.-J., Visser, I., & van der Maas, H. L. J. (2011). A phase transition model for the speed-accuracy trade-off in response time experiments. Cognitive Science, 35, 211-250. doi:10.1111/j.1551-6709.2010.01147.x
21. Friendly, M., & Denis, D. (2005). The early origins and development of the scatterplot. Journal of the History of the Behavioral Sciences, 41, 103-130. doi:10.1002/jhbs.20078
22. Gable, S. L., Reis, H. T., & Downey, G. (2003). He said, she said: A quasi-signal detection analysis of daily interactions between close relationship partners. Psychological Science, 14, 100-105. doi:10.1111/1467-9280.t01-1-01426
23. Gottman, J. M., Murray, J. D., Swanson, C. C., Tyson, R., & Swanson, K. R. (2002). The mathematics of marriage: Dynamic nonlinear models. Cambridge, MA: MIT Press.
24. Guastello, S. J. (2011). Discontinuities: SETAR and catastrophe models with polynomial regression. In S. J. Guastello & R. A. M. Gregson (Eds.), Nonlinear dynamical systems analysis for the behavioral sciences using real data (pp. 251-280). Boca Raton, FL: CRC Press.
25. Hamagami, F., & McArdle, J. J. (2001). Advanced studies of individual differences linear dynamic models for longitudinal data analysis. In G. A. Marcoulides & R. E. Schumacker (Eds.), New developments and techniques in structural equation modeling (pp. 203-246). Mahwah, NJ: Erlbaum.
26. Hamaker, E. J., Dolan, C. V., & Molenaar, P. C. M. (2005). Statistical modeling of the individual: Rationale and application of multivariate stationary time series analysis. Multivariate Behavioral Research, 40, 207-233. doi:10.1207/s15327906mbr4002_3
27. Hawley, L. L., Ringo Ho, M.-H., Zuroff, D. C., & Blatt, S. J. (2006). The relationship of perfectionism, depression, and therapeutic alliance during treatment for depression: Latent difference score analysis. Journal of Consulting and Clinical Psychology, 74, 930-942. doi:10.1037/0022-006X.74.5.930
28. Helm, J. L., Sbarra, D., & Ferrer, E. (2012). Assessing cross-partner associations in physiological responses via coupled oscillator models. Emotion, 12, 748-762. doi:10.1037/a0025036
29. Huckfeldt, R. R., Kohfeld, C. W., & Likens, T. W. (1982). Dynamical modeling: An introduction. Newbury Park, CA: Sage.
30. Kantz, H., & Schreiber, T. (1997). Nonlinear time series analysis. Cambridge, England: Cambridge University Press.
31. Kelso, J. A. S. (1995). Dynamic patterns: The self-organization of brain and behavior. Boston, MA: MIT Press.
32. King, L. A., King, D. W., McArdle, J. J., Saxe, G. N., Doron-LaMarca, S., & Orazem, R. J. (2006). Latent difference score approach to longitudinal trauma research. Journal of Traumatic Stress, 19, 771-785. doi:10.1002/jts.20188
33. Kugler, P. N., & Turvey, M. T. (1987). Information, natural law, and the self-assembly of rhythmic movement. Hillsdale, NJ: Erlbaum.
34. Latané, B., & Nowak, A. (1994). Attitudes as catastrophes: From dimensions to categories with increasing involvement. In R. R. Vallcher & A. Nowak (Eds.), Dynamical systems in social psychology (pp. 219-249). New York, NY: Academic Press.
35. Liebovitch, L. S., Peluso, P. R., Norman, M. D., Su, J., & Gottman, J. M. (2011). Mathematical model of the dynamics of psychotherapy. Cognitive Neurodynamics, 5, 265-275. doi:10.1007/s11571-011-9157-x
36. Littlefield, A. K., Vergés, A., Wood, P. K., & Sher, K. J. (2012). Transactional models between personality and alcohol involvement: A further examination. Journal of Abnormal Psychology, 121, 778-783. doi: 10.1037/a0026912
37. Lorenz, K. (1966). On aggression. New York, NY: Harcourt, Brace and World.
38. Margolin, G. (1981). Behavior exchange in distressed and nondistressed marriages: A family cycle perspective. Behavior Therapy, 12, 329-343. doi:10.1016/S0005-7894(81)80122-0
39. Marsh, H. W., Wen, Z., & Hau, K. (2006). Structural equation models of latent variable interactions and quadratic effects. In G. R. Hancock & R. O. Mueller (Eds.), Structural equation modeling: A second course (pp. 225-265). Greenwich, CT: Information Age.
40. McArdle, J. J. (2001). A latent difference score approach to longitudinal dynamic structural analysis. In R. Cudeck, S. du Toit, & D. Sörbom (Eds.), Structural equation modeling: Present and future. Lincolnwood, IL: Scientific Software International.
41. McArdle, J. J. (2009). Latent variable modeling of differences and changes with longitudinal data. Annual Review of Psychology, 60, 577-605. doi:10.1146/annurev.psych.60.110707.163612
42. McGrath, J. E., & Kelly, J. R. (1986). Time and human interaction: Toward a social psychology of time. New York, NY: Guilford Press.
43. Meehl, P. E. (1978). Theoretical risks and tabular asterisks: Sir Karl, Sir Ronald, and the slow progress of soft psychology. Journal of Consulting and Clinical Psychology, 46, 806-834. doi:10.1037/0022-006X.46.4.806
44. Molenaar, P. C. M. (1985). A dynamic factor model for the analysis of multivariate time series. Psychometrika, 50, 181-202. doi:10.1007/BF02294246
45. Molenaar, P. C. M. (2004). A manifesto on psychology as idiographic science: Bringing the person back into scientific psychology, this time forever. Measurement: Interdisciplinary Research and Perspectives, 2, 201-218. doi:10.1207/s15366359mea0204_1
46. Molenaar, P. C. M., & Campbell, C. G. (2009). The new person-specific paradigm in psychology. Current Directions in Psychological Science, 18, 112-117. doi:10.1111/j.1467-8721.2009.01619.x
47. Molenaar, P. C. M., De Gooijer, J. G., & Schmitz, B. (1992). Dynamic factor analysis of nonstationary multivariate time series. Psychometrika, 57, 333-349. doi:10.1007/BF02295422
48. Nesselroade, J. R., & Molenaar, P. C. M. (2010). Analyzing intra-person variation: Hybridizing the ACE model with P-technique factor analysis and the idiographic filter. Behavior Genetics, 40, 776-783. doi:10.1007/s10519-010-9373-x
49. Nicholson, J. S., Deboeck, P. R., Farris, J. R., Boker, S. M., & Borkowski, J. G. (2011). Maternal depressive symptomatology and child behavior: Transactional relationship with simultaneous bidirectional coupling. Developmental Psychology, 47, 1312-1323. doi:10.1037/a0023912
50. Ragsdale, J. D. (1996). Gender, satisfaction level, and the use of relational maintenance strategies in marriage. Communication Monographs, 63, 354-369. doi:10.1080/03637759609376399
51. Reis, H. T., & Gable, S. L. (2000). Event-sampling and other methods for studying everyday experience. In H. T. Reis & C. M. Judd (Eds.), Handbook of research methods in social and personality psychology (pp. 190-222). New York, NY: Cambridge University Press.
52. Reis, H. T., Sheldon, K. M., Gable, S. L., Roscoe, J., & Ryan, R. M. (2000). Daily well-being: The role of autonomy, competence, and relatedness. Personality and Social Psychology Bulletin, 26, 419-435. doi: 10.1177/0146167200266002
53. Rusbult, C. E., Verette, J., Whitney, G. A., Slovik, L. F., & Lipkus, I. (1991). Accommodation processes in close relationships: Theory and preliminary empirical evidence. Journal of Personality and Social Psychology, 60, 53-78. doi:10.1037/0022-3514.60.1.53
54. Shoda, Y., & Mischel, W. (2000). Reconciling contextualism with the core assumptions of personality psychology. European Journal of Personality, 14, 407-428. doi:10.1002/1099-0984(200009/10)14:5_407::AIDPER391_3.0.CO;2-3
55. Smerz, K. E., & Guastello, S. J. (2008). Cusp catastrophe model for binge drinking in a college population. Nonlinear Dynamics, Psychology, and Life Sciences, 12, 205-224.
56. Stewart, I. (2002). Does god play dice: The new mathematics of chaos. Malden, MA: Blackwell.
57. Uchino, B. N., Smith, T. W., Carlisle, M., Birmingham, W. C., & Light, K. C. (2013). The quality of spouses' social networks contributes to each other's cardiovascular risk. PLoS ONE, 8, e71881. doi:10.1371/journal .pone.0071881
58. Vallacher, R. R., Nowak, A., Froehlich, M., & Rockloff, M. (2002). The dynamics of self-evaluation. Personality and Social Psychology Review, 6, 370-379. doi:10.1207/S15327957PSPR0604_11
59. Watson, J. B. (1913). Psychology as the behaviorist views it. Psychological Review, 20, 158-177. doi:10.1037/h0074428
60. Wood, P., & Brown, D. (1994). The study of intraindividual differences by means of dynamic factor models: Rationale, implementation, and interpretation. Psychological Bulletin, 116, 166-186. doi:10.1037/0033-2909.116.1.166
61. Wright, S. (1921). Correlation and causation. Journal of Agricultural Research, 20, 557-585.