Short Time Series Analysis: C Statistic vs Edgington Model

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.

[1]  S Clarke,et al.  Effects of a videotape feedback package on the peer interactions of children with serious behavioral and emotional challenges. , 1992, Journal of applied behavior analysis.

[2]  W. Tryon "A simplified time-series analysis for evaluating treatment interventions": A rejoinder to Blumberg. , 1984, Journal of applied behavior analysis.

[3]  P. Yarnold,et al.  Statistical Analysis for Single-Case Designs , 1991, Behavior modification.

[4]  Joseph W. McKean,et al.  Autocorrelation estimation and inference with small samples. , 1991 .

[5]  N. Tarrier,et al.  A Longitudinal Psychophysiological Assessment of a Schizophrenic Patient in Relation to the Expressed Emotion of his Relatives , 1987, Behavioural Psychotherapy.

[6]  W W Tryon,et al.  Estimating and testing autocorrelation with small samples: a comparison of the C-statistic to a modified estimator. , 1993, Behaviour research and therapy.

[7]  E. Edgington Randomization Tests for One-Subject Operant Experiments , 1975 .

[8]  R. Gorsuch Three methods for analyzing limited time-series (N of 1) data. , 1983 .

[9]  W W Tryon,et al.  A simplified time-series analysis for evaluating treatment interventions. , 1982, Journal of applied behavior analysis.

[10]  R. H. Kent,et al.  The Mean Square Successive Difference , 1941 .

[11]  A Portable Method for Analysing Time-Series Data in Clinical Practice , 1984 .

[12]  W. Velicer,et al.  A Comparison of Alternative Approaches to the Analysis of Interrupted Time-Series. , 1985, Multivariate behavioral research.

[13]  Patrick Onghena,et al.  Randomization Tests for Extensions and Variations of ABAB Single-Case Experimental Designs: A Rejoinder , 1992 .

[14]  L. C. Young,et al.  On Randomness in Ordered Sequences , 1941 .

[15]  James Algina,et al.  A Procedure for the Analysis of Time-Series Designs. , 1977 .

[16]  Dean Keith Simonton,et al.  Cross-sectional time-series experiments: Some suggested statistical analyses , 1977 .

[17]  K. Michelul,et al.  Musical reinforcement of practice behaviors among competitive swimmers. , 1992, Journal of Applied Behavior Analysis.

[18]  Joel R. Levin,et al.  3 – N = Nonparametric Randomization Tests , 1978 .