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Measurement, Statistics, and Research Design

Power Computations for Polynomial Change Models in Block-Randomized Designs

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Pages 575-595 | Received 25 Mar 2016, Accepted 20 Jun 2018, Published online: 25 Jan 2019

References

  • Bloch, D. A. (1986). Sample size requirements and the cost of a randomized clinical trial with repeated measurements. Statistics in Medicine, 5(6), 663–667. doi:10.1002/sim.4780050613
  • Boruch, R. F., & Gomez, H. (1977). Sensitivity, bias, and theory in impact evaluations. Professional Psychology, 8(4), 411. doi:10.1037/0735-7028.8.4.411
  • Cohen, J. (1988). Statistical power analysis for the behavioral sciences. New York, NY: Routledge.
  • Finn, J. D., & Achilles, C. M. (1990). Answers and questions about class size: A statewide experiment. American Educational Research Journal, 27(3), 557–577. doi:10.3102/00028312027003557
  • Fisher, R. A. (1928). Statistical methods for research workers (2nd ed.). Edinburgh, UK: Oliver and Boyd.
  • Hedges, L. V. (2011). Effect sizes in three level designs. Journal of Educational and Behavioral Statistics, 36, 346–380. doi:10.3102/1076998610376617
  • Hedges, L. V., & Hedberg, E. C. (2007). Intraclass correlations for planning group-randomized experiments in education. Educational Evaluation and Policy Analysis, 29, 60–87. doi:10.3102/0162373707299706
  • Hedeker, D., Gibbons, R. D., & Waternaux, C. (1999). Sample size estimation for longitudinal designs with attrition: Comparing time-related contrasts between two groups. Journal of Educational and Behavioral Statistics, 24(1), 70–79 doi:10.3102/10769986024001070
  • Huttenlocher, J., Haight, W., Bryk, A., Seltzer, M., & Lyons, T. (1991). Early vocabulary growth: Relation to language input and gender. Developmental Psychology, 27(2), 236. doi:10.1037/0012-1649.27.2.236
  • Jennrich, R. I., & Sampson, P. I. (1971). Remark as R3: A remark on algorithm AS 10. Journal of the Royal Statistical Society, Series C (Applied Statistics), 20(1), 117–118.
  • Jong, K. D., Moerbeek, M., & van der Leeden, R. (2010). A priori power analysis in longitudinal three-level multilevel models An example with therapist effects. Psychotherapy Research, 20(3), 273–284. doi:10.1080/10503300903376320
  • Kirk, R. E. (2012). Experimental design: Procedures for the behavioral sciences (Fourth ed.). Thousand Oaks, CA: Sage.
  • Konstantopoulos, S. (2008). The power of the test for treatment effects in three-level block randomized designs. Journal of Research on Educational Effectiveness, 1(4), 265–288. doi:10.1080/19345740802328216
  • Konstantopoulos, S. (2010). Power analysis in two-level unbalanced designs. Journal of Experimental Education, 78, 291–317. doi:10.1080/00220970903292876
  • Konstantopoulos, S. (2012). The impact of covariates on statistical power in cluster randomized designs: Which level matters more? Multivariate Behavioral Research, 47, 392–420. doi:10.1080/00273171.2012.673898
  • Krueger, A. B. (1999). Experimental estimates of education production functions. Quarterly Journal of Economics, 114(2), 497–532. doi:10.1162/003355399556052
  • Lipsey, M. W. (1990). Design sensitivity: Statistical power for experimental research (Vol. 19). Thousand Oaks, CA: Sage.
  • Nye, B., Hedges, L. V., & Konstantopoulos, S. (2000). The effects of small classes on academic achievement: The results of the Tennessee class size experiment. American Educational Research Journal, 37(1), 123–151. doi:10.3102/00028312037001123
  • Plackett, R. L. (1960). Principles of regression analysis. Oxford, UK: Clarendon Press.
  • Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (Second ed.). Thousand Oaks, CA: Sage.
  • Raudenbush, S. W., & Liu, X. (2000). Statistical power and optimal design for multisite randomized trails. Psychological Methods, 5, 199–213.
  • Raudenbush, S. W., & Liu, X. F. (2001). Effects of study duration, frequency of observation, and sample size on power in studies of group differences in polynomial change. Psychological Methods, 6(4), 387–401. doi:10.1037/1082-989X.6.4.387
  • Seber, G. A. F., & Lee, A. J. (2003). Linear regression analysis (Second ed.). Hoboken, NJ: Wiley-Interscience.
  • Snijders, T., & Bosker, R. J. (1999). Multilevel analysis: An introduction to basic and advanced multilevel modeling. Thousand Oaks, CA: Sage Publications.
  • Spybrook, J., Raudenbush, S. W., Liu, X. F., Congdon, R., & Martínez, A. (2011). Optimal design for longitudinal and multilevel research: Documentation for the Optimal Design Software Version 3.0. Available from www.wtgrantfoundation.org

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