A Methodology for the Quantitative Synthesis of Intra-Subject Design Research

Investigators using quantitative synthesis methodology have as yet been unable to include the results from single-case experiments in their analyses, in large part because of the lack of a suitable statistical methodology. The development of a regression model that can be used to generate effect sizes for both changes in slope and changes in level occurring as a result of the treatment intervention is outlined. Analysis of lag one autocorrelation among the residuals suggests that serial correlation is not a serious problem. The regression approach provides a satisfactory fit of the data, and may thus provide a basis for the generation of effect sizes from single-case experimental data.

[1]  John M. Gottman,et al.  Time Series Analysis: A Comprehensive Introduction for Social Scientists. , 1983 .

[2]  David B. Pillemer,et al.  Summing Up: The Science of Reviewing Research , 1984 .

[3]  Ann Casey,et al.  Nonaversive Procedures in the Treatment of Classroom Behavior Problems , 1985 .

[4]  Paul T. Sindelar,et al.  The Potential Effects of Meta-Analysis On Special Education Practice , 1984 .

[5]  Jan Kmenta,et al.  Elements of econometrics , 1988 .

[6]  Samuel L. Guskin,et al.  Problems and Promises of Meta-Analysis in Special Education , 1984 .

[7]  P F Waller,et al.  Highway safety programs: how do we know they work , 1974 .

[8]  Hans J. Eysenck,et al.  Meta-Analysis: an Abuse of Research Integration , 1984 .

[9]  R. R. Jones,et al.  Effects of serial dependency on the agreement between visual and statistical inference. , 1978, Journal of applied behavior analysis.

[10]  Bradley E. Huitema,et al.  Autocorrelation in applied behavior analysis: A myth. , 1985 .

[11]  Robert E. Slavin,et al.  Meta-Analysis in Education: How Has It Been Used? , 1984 .

[12]  J. Durbin,et al.  Testing for serial correlation in least squares regression. II. , 1950, Biometrika.

[13]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[14]  J. Gentile,et al.  An analysis-of-variance model for the intrasubject replication design. , 1972, Journal of applied behavior analysis.

[15]  G. Glass,et al.  Design and analysis of time-series experiments , 1975 .

[16]  K. Kavale.  Potential Advantages of the Meta-Analysis Technique for Research in Special Education , 1984 .

[17]  John M. Gottman,et al.  4 – Analysis of Interrupted Time-Series Experiments , 1978 .

[18]  R. Rosenthal.  Combining results of independent studies. , 1978 .

[19]  Janet D. Elashoff,et al.  6 – Choosing a Statistical Method for Analysis of an Intensive Experiment , 1978 .

[20]  B. S. Parsonson,et al.  2 – The Analysis and Presentation of Graphic Data , 1978 .

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

[22]  Samuel M. Bower,et al.  A One-Way Analysis of Variance for Single-Subject Designs , 1971 .

[23]  Alan Poling,et al.  Research methods in applied behavior analysis : issues and advances , 1986 .

[24]  G. Brody,et al.  Single Subject Designs , 1978 .

[25]  Herbert J. Walberg,et al.  Classroom Reinforcement and Learning: A Quantitative Synthesis. , 1981 .

[26]  R. R. Jones,et al.  Time-series analysis in operant research. , 1977, Journal of applied behavior analysis.

[27]  D. P. Hartmann,et al.  Forcing square pegs into round holes: some comments on "an analysis-of-variance model for the intrasubject replication design". , 1974, Journal of applied behavior analysis.

[28]  Isadore Newman,et al.  Suggested Inferential Statistical Models for Research in Behavior Modification. , 1973 .

[29]  Laura C. Leviton,et al.  Reviewing the literature: A comparison of traditional methods with meta-analysis. , 1980 .

[30]  David B. Pillemer,et al.  Conceptual Issues in Research Synthesis , 1984 .

[31]  A. Deprospero,et al.  Inconsistent visual analyses of intrasubject data. , 1979, Journal of applied behavior analysis.

[32]  V. Barnett,et al.  Applied Linear Statistical Models , 1975 .

[33]  G. Glass,et al.  Meta-Analysis and the Integration of Research in Special Education , 1981, Journal of learning disabilities.

[34]  G. Glass.  9: Integrating Findings: The Meta-Analysis of Research , 1977 .