| Автор | Toothaker, Larry E. |
| Автор | Banz, Martha |
| Автор | Noble, Cindy |
| Автор | Camp, Jill |
| Автор | Davis, Diana |
| Дата выпуска | 1983 |
| dc.description | Several methods have been proposed for the analysis of data from single-subject research settings. This research focuses on the modifications of ANOVA-based tests proposed by Shine and Bower, a procedure that precedes the ANOVAF test by preliminary testing of within-phase lag one serial correlation and the one-way ANOVA as presented by Gentile, Roden and Klein. Monte Carlo simulation is used to investigate these tests with respect to robustness and power. Each test was analyzed under various patterns of serial correlation, various patterns of phase and trial means, normal and exponential distributions, and equal and unequal phase variances. The findings indicate that the probability of a Type I error for these ANOVA-based tests is seriously inflated by nonzero serial correlation. These tests, therefore, cannot be recommended for use with data that have nonzero serial correlation. |
| Издатель | Sage Publications |
| Тема | N = 1 Designs |
| Тема | ANOVA-based tests |
| Тема | serial correlation |
| Тема | robustness |
| Название | N = 1 Designs: The Failure of ANOVA-Based Tests |
| Тип | Research Article |
| DOI | 10.3102/10769986008004289 |
| Print ISSN | 1076-9986 |
| Журнал | Journal of Educational Statistics |
| Том | 8 |
| Первая страница | 289 |
| Последняя страница | 309 |
| Аффилиация | Toothaker, Larry E., The University of Oklahoma |
| Аффилиация | Banz, Martha, The University of Oklahoma |
| Аффилиация | Noble, Cindy, The University of Oklahoma |
| Аффилиация | Camp, Jill, The University of Oklahoma |
| Аффилиация | Davis, Diana, The University of Oklahoma |
| Выпуск | 4 |
| Библиографическая ссылка | Barlow, DH, and M Hersen (1973). Single case experimental designs. Archives of General Psychiatry, 29, 319-325. |
| Библиографическая ссылка | Bartlett, MS (1946). On the theoretical specification and sampling properties of autocorrelated time-series. Supplemental Journal of the Royal Statistical Society, 8, 27. |
| Библиографическая ссылка | Bennet, CA, and NL Franklin (1961). Statistical analysis in chemistry and the chemistry industry. New York: John Wiley. |
| Библиографическая ссылка | Box, GEP (1954). Some theorems on quadratic forms applied in the study of analysis of variance problems. II. Effects of inequality of variance and of correlation between errors in the two-way classification. Annals of Mathematical Statistics, 25, 484-498. |
| Библиографическая ссылка | Box, GEP, and GM Jenkins (1976). Time series analysis: Forecasting and control, Rev. ed. San Francisco: Holden-Day. |
| Библиографическая ссылка | Box, GEP, and ME Muller (1958). A note on the generation of random normal deviates. Annals of Mathematical Statistics, 29, 610-611. |
| Библиографическая ссылка | Chassan, JB (1967). Research designs in clinical psychology and psychiatry. New York: Appleton-Century-Crofts. |
| Библиографическая ссылка | Chen, EH (1971). Random normal number generator for 32-bit-word computers. Journal of the American Statistical Association, 66(334), 400-403. |
| Библиографическая ссылка | Cook, TD, and DT Campbell (1979). Quasi-experimentation: Design and analysis issues for field settings. Chicago: Rand-McNally. |
| Библиографическая ссылка | Deustch, SJ, and FB Alt (1977). The effect of Massachusetts' gun control law on gun-related crimes in the city of Boston. Evaluation Quarterly, 1, 543-568. |
| Библиографическая ссылка | Edgington, ES (1972). N = 1 experiments: Hypothesis testing. The Canadian Psychologist, 2, 121-134. |
| Библиографическая ссылка | Edgington, ES (1980). Validity of randomization tests for one-subject experiments. Journal of Educational Statistics, 5, 235-251. |
| Библиографическая ссылка | Friesma, HP, JA Caporaso, RL Lineberry, and GS Goldstein (1978). Aftermath: Community impact of natural disasters. Beverly Hills, Calif.: Sage Publications. |
| Библиографическая ссылка | Gastwirth, JL, and H Rubin (1971). Effect of dependence on the level of some one-sample tests. Journal of the Americal Statistical Association, 66, 816-820. |
| Библиографическая ссылка | Gentile, JT, C Roden, and R Klein (1972). An analysis of variance model for the intrasubject replication design. Journal of Applied Behavior Analysis, 5, 193-198. |
| Библиографическая ссылка | Glass, GV, GC Tiao, and TO Maguire (1971). Analysis of data on the 1900 revision of German divorce laws as a time-series quasi-experiment. Law and Society Review, 4, 539-562. |
| Библиографическая ссылка | Glass, GV, VL Willson, and JM Gottman (1975). Design and analysis of time-series experiments. Boulder, Colo.: Colorado Associated University Press. |
| Библиографическая ссылка | Gottman, JM, and GV Glass (1978). Analysis of interrupted time-series experiments. In TR Kratochwill (Ed.), Single subject research: Strategies for evaluating change. New York: Academic Press. |
| Библиографическая ссылка | Gottman, JM, and RM McFall (1972). Self-monitoring effects in a program for potential high school dropouts: A time-series analysis. Journal of Consulting and Clinical Psychology, 39, 273-281. |
| Библиографическая ссылка | Gottman, JM, and C Notarius (1978). Sequential analysis of observational data using Markov chains. In TR Kratochwill (Ed.), Single subject research: Strategies for evaluating change. New York: Academic Press. |
| Библиографическая ссылка | Guttman, LA (1955). A generalized simplex for factor analysis. Psychometrika, 20, 173-192. |
| Библиографическая ссылка | Hartmann, DP (1974). Forcing square pegs into round holds: Some comments on "An analysis of variance model for the intrasubject replication design. Journal of Applied Behavior Analysis, 7, 635-638. |
| Библиографическая ссылка | Hartmann, DP, JM Gottman, RR Jones, W Gardner, AE Kazdin, and RS Vaught (1980). Interrupted time-series analysis its application to behavioral data. Journal of Applied Behavior Analysis, 13, 543-559. |
| Библиографическая ссылка | Hedberg, AG, CE Walker, and J Ehrman (1975). Annotated bibliography of statistics for clinicians. Profession Psychology, 6(1), 96-100. |
| Библиографическая ссылка | Hersen, M, and DH Barlow (1976). Single case experimental designs: Strategies for studying behavior change. New York: Pergamon. |
| Библиографическая ссылка | Hibbs, DA, Jr (1974). Problems of statistical estimation and causal inference on time-series regression models. In HL Costner (Ed.), Sociological Methodology-1974. San Francisco: Jossey-Bass. |
| Библиографическая ссылка | Huitema, BE (1983). Autocorrelation in behavior modification data: Wherefore are thou?Behavioral Assessment. |
| Библиографическая ссылка | Jones, RR, RS Vaught, and MR Weinrott (1977). Time-series analysis in operant research. Journal of Applied Behavior Analysis, 10, 151-166. |
| Библиографическая ссылка | Juliano, DB, and JT Gentile (1974). Will the real hyperactive child please sit down? Problems of diagnosis and remediation. Child Study Journal Monograph(m1-6), 1-38. |
| Библиографическая ссылка | Kazdin, AE (1982). Single-case research designs: Methods for clinical and applied settings. New York: Oxford University Press. |
| Библиографическая ссылка | Kendall, MG, and A Stuart (1966). The advanced theory of statistics, Vol. 3. London: Charles Griffin & Company. |
| Библиографическая ссылка | Keselman, J, and L Leventhal (1974). Concerning the statistical procedures enumerated by Gentile et al.: Another perspective. Journal of Applied Behavior Analysis, 7(4), 643-645. |
| Библиографическая ссылка | Kratochwill, TR (1977). N = 1: An alternative research strategy for school psychologists. Journal of School Psychology, 15, 239-249. |
| Библиографическая ссылка | Kratochwill, TR (1978). Foundations of time-series research. In TR Kratochwill (Ed.), Single subject research: Strategies for evaluating change. New York: Academic Press. |
| Библиографическая ссылка | Kratochwill, TR, K Alden, D Demuth, D Dawson, C Panicucci, P Arntson, N McMurray, J Hempstead, and J Levin (1974). A further consideration in the application of an analysis of variance model for the intrasubject replication design. Journal of Applied Behavior Analysis, 7, 629-633. |
| Библиографическая ссылка | Lehmann, RS, and DE Bailey (1968). Digital computing. In Fortran IV and its applications in behavioral science. New York: John Wiley and Sons. |
| Библиографическая ссылка | Leitenberg, H, WS Agras, and L Thomson (1968). A sequential analysis of the effect of selective positive reinforcement in modifying anorexia nervosa. Behavior Research and Therapy, 6, 211-218. |
| Библиографическая ссылка | Levin, JT, LA Marascuilo, and LJ Hubert (1978). N = 1 nonparametric randomization tests. In TR Kratochwill (Ed.), Single subject research: Strategies for evaluating change. New York: Academic Press. |
| Библиографическая ссылка | Parsonson, BS, and DM Baer (1978). The analysis and presentation of graphic data. In TR Kratochwill (Ed.), Single subject research: Strategies for evaluating change. New York: Academic Press. |
| Библиографическая ссылка | Shine, LC (1973). A multi-way analysis of variance for single-subject designs. Educational and Psychological Measurement, 33, 633-636. |
| Библиографическая ссылка | Shine, LC (1974). An extension of the Shine combined analysis variance. Educational and Psychological Measurement, 34, 47-52. |
| Библиографическая ссылка | Shine, LC (1975). Independence problems for certain tests based on the Shine-Bower error term. Educational and Psychological Measurement, 35, 535-537. |
| Библиографическая ссылка | Shine, LC (1976). An alternative statistic for testing the slow change assumption of the Shine-Bower error term. Educational and Psychological Measurement, 34, 611-614. |
| Библиографическая ссылка | Shine, LC (1977). Removing the restriction of an even number of trials for the Shine-Bower single-subject ANOVA. Educational and Psychological Measurement, 37, 873-875. |
| Библиографическая ссылка | Shine, LC (1980). On two fundamental single-subject behavior functions. Educational and Psychological Measurement, 40, 63-72. |
| Библиографическая ссылка | Shine, LC (1981). Integrating the study of Shine's actualized and pure single-subject behavior functions. Educational and Psychological Measurement, 41, 673-685. |
| Библиографическая ссылка | Shine, LC (1982). An illustration of how the effects of serial dependencies are handled in analyses of Shine's pure and actualized single-subject behavior functions. Educational and Psychological Measurement, 42, 87-94. |
| Библиографическая ссылка | Shine, LC, and SM Bower (1971). A one-way analysis of variance for single-subject designs. Educational and Psychological Measurement, 31, 105-113. |
| Библиографическая ссылка | Shine, LC, J Wiant, and F Dapalito (1972). Effect of learning on hemispheric dominance and free recall in a single subject. Psychological Reports, 31, 227-230. |
| Библиографическая ссылка | Sterman, MB (1973). Neurophysiologic and clinical studies of sensorimotor EEG biofeedback training: Some effects of epilepsy. In L Birk (Ed.), Biofeedback: Behavioral medicine. New York: Grune & Stratton. |
| Библиографическая ссылка | Thoreson, CE, and JD Elashoff (1974). An analysis of variance model for the intrasubject replication design: Some additional comments. Journal of Applied Behavior Analysis, 7, 639-641. |
