Abstract
Young's C statistic (1941) makes it possible to compare the randomization of a set of sequentially organized data and constitutes an alternative of appropriate analysis in short time series designs. On the other hand, models based on the randomization of stimuli are also very important within the behavioral content applied. For this reason, a comparison is established between the C statistic and the Edgington model. The data analyzed in the comparative study have been obtained from graphs in studies published in behavioral journals. According to the results obtained, it is concluded that the Edgington model in experimental designs AB involves many measurements while the C statistic requires fewer observations to reach the conventional significance level.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Algina, J. & Swaminathan, H.A. (1977). A procedure for the analysis of time series designs, Journal of Experimental Education 45: 56–60.
Bono, R. (1994). Diseños de series temporales interrumpidas: técnicas alternativas de análisis, Unpublished doctoral dissertation, University of Barcelona.
DeCarlo, L.T. & Tryon, W.W. (1993). Estimating and testing autocorrelation with small samples: A comparison of the C-statistic to a modified estimator, Behaviour Research and Therapy 31: 781–788.
Edgington, E.S. (1975). Randomization tests for one-subject operant experiments, Journal of Psychology 90: 57–68.
Edgington, E.S. (1980). Random assignment and statistical tests for one-subject experiments, Behavioral Assessment 2: 19–28.
Edgington, E.S. (1992). Nonparametric test for single-case experiments. In T.R. Kratochwill & J.R. Levin (eds), Single-Case Research Design and Analysis. Hillsdale, NJ: Erlbaum.
Ginsberg, P.E. (1987). The peculiar relationship between psychiatric case records and length of hospitalization, American Behavioral Scientist 30: 188–200.
Gorsuch, R.L. (1983). Three methods for analyzing limited time-series (N of 1) data, Behavioral Assessment 5: 141–154.
Harrop, J.W. & Velicer, W.F. (1985). A comparison of alternative approaches to the analysis of interrupted time-series, Multivariate Behavioral Research 20: 27–44.
Huitema, B.E. & McKean, J.W. (1991). Autocorrelation estimation and inference with small samples, Psychological Bulletin 110: 291–304.
Hume, K.M. & Crossman, J. (1992). Musical reinforcement of practice behaviors among competitive swimmers, Journal of Applied Behavior Analysis 25: 665–670.
Kazdin, A.E. (1976). Statistical analysis for single-case designs. In M. Hersen & D.H. Barlow (eds), Single Case Experimental Designs: Strategies for Studying Behavior Change. New York: Pergamon Press.
Kern-Dunlap, L., Dunlap, G., Clarke, S., Childs, K.E., White, R.L., & Stewart, M.P. (1992). Effects of a videotape feedback package on the peer interactions of children with serious behavioral and emotional challenges, Journal of Applied Behavior Analysis 25: 355–364.
Levin, J.R., Marascuilo, L.A., & Hubert, L.J. (1978). N = 1 nonparametric randomization test. In T.R. Kratochwill (ed.), Single-Subject Research: Strategies for Evaluating Change, New York: Academic Press.
Onghena, P. (1992). Randomization tests for extensions and variations of ABAB single-case experimental designs: A rejoinder, Behavioral Assessment 14: 153–171.
Simonton, D.K. (1977). Cross-sectional time-series experiments: Some suggested statistical analysis, Psychological Bulletin 84: 489–502.
Stanley, B. (1984). A portable method for analysing time-series data in clinical practice, Perceptual and Motor Skills 59: 915–916.
Tarrier, N. & Barrowclough, C. (1987). A longitudinal psychophysiological assessment of a schizophrenic patient in relation to the expressed emotion of his relatives, Behavioural Psychotherapy 15: 45–57.
Tryon, W.W. (1982). A simplified time-series analysis for evaluating treatment interventions, Journal of Applied Behavior Analysis 15: 423–429.
Tryon, W.W. (1984). A simplified time-series analysis for evaluating treatment interventions: A rejoinder to Blumberg, Journal of Applied Behavior Analysis 17: 543–544.
von Neumann, J., Kent, R.H., Bellinson, H.R., & Hart, B.I. (1941). The mean square successive difference, The Annals of Mathematical Statistics 12: 153–162.
Young, L.C. (1941). On randomness in ordered sequences, The Annals of Mathematical Statistics 12: 293–300.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Arnau, J., Bono, R. Short Time Series Analysis: C Statistic vs Edgington Model. Quality & Quantity 32, 63–75 (1998). https://doi.org/10.1023/A:1004317603849
Issue Date:
DOI: https://doi.org/10.1023/A:1004317603849