What is wrong with ANOVA and multiple regression? Analyzing sentence reading times with hierarchical linear models

Discourse Processes

Volumn 41, Issue 3, 2006, Pages 221-250

  Richter, Tobias ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646710368     PISSN: 0163853X     EISSN: 15326950     Source Type: Journal    
DOI: 10.1207/s15326950dp4103_1     Document Type: Article

References (51)

1. Aiken, S. A., & West, S. G. (1991). Multiple regression: Testing and interpreting interactions. Thousand Oaks, CA: Sage.
2. Barcikowski, R. S. (1981). Statistical power with group mean as the unit of analysis. Journal of Educational Statistics, 6, 267-285.
3. Bassiri, D. (1988). Large and small sample properties of maximum likelihood estimates for the hierarchical linear model. Unpublished PhD thesis, Department of Counseling, Educational Psychology and Special Education, Michigan State University.
4. Bisanz, G. L., Das, J. P., Varnhagen, C. K., & Henderson, H. R. (1992). Structural components of reading times and recall for sentences in narratives: Exploring changes with age and reading ability. Journal of Educational Psychology, 84, 103-114.
5. Blozis, S. A., & Cudeck, R. (1999). Conditionally linear mixed-effects models with latent variable covariates. Journal of Educational & Behavioral Statistics, 24, 245-270.
6. Burstein, L., Linn, R. L., & Capell, F. J. (1978). Analyzing multilevel data in the presence of heterogeneous within-class regressions. Journal of Educational Statistics, 3, 347-383.
7. Clark, H. H. (1973). The language-as-fixed-effect fallacy: A critique of language statistics in psychological research. Journal of Verbal Learning and Verbal Behavior, 12, 335-359.
8. Cohen, J., Cohen, P., West, S. G., & Aiken, L. S. (2003). Applied multiple regression/correlation analyses for the behavioral sciences (3rd ed.). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
9. Coleman, E. B. (1964). Generalizing to a language population. Psychological Reports, 14, 219-226.
10. Cronbach, L. J., & Webb, N. (1975). Between class and within class effects in a reported aptitude X treatment interaction: A reanalysis of a study by G. L. Anderson. Journal of Educational Psychology, 67, 717-724.
11. Goldstein, H. (2003). Multilevel statistical models (3rd ed.). New York: Oxford University Press.
12. Graesser, A. C., Hoffman, N. L., & Clark, L. F. (1980). Structural components of reading time. Journal of Verbal Learning and Verbal Behavior, 19, 135-151.
13. Graesser, A. C., Magliano, J. P., & Haberlandt, K. (1994). Psychological studies of naturalistic text. In H. van Oostendorp & R. A. Zwaan (Eds.), Naturalistic text comprehension (pp. 9-33). Norwood, NJ: Ablex.
14. Graesser, A. C., & Riha, J. R. (1984). An application of multiple regression techniques to sentence reading times. In D. E. Kieras & M. Just (Eds.), New methods in reading comprehension research (pp. 183-218). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
15. Graesser, A. C., Singer, M., & Trabasso, T. (1994). Constructing inferences during narrative text comprehension. Psychological Review, 101, 371-395.
16. Haberlandt, K. (1984). Components of sentence and word reading times. In D. E. Kieras & M. Just (Eds.), New methods in reading comprehension research (pp. 219-251). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
17. Haberlandt, K. (1994). Methods in reading research. In M. A. Gernsbacher (Ed.), Handbook of psycholinguistics (pp. 1-31). San Diego, CA: Academic Press.
18. Haberlandt, K., & Graesser, A. C. (1985). Component processes in text comprehension and some of their interactions. Journal of Experimental Psychology: General, 114, 357-374.
19. Hox, J. J. ( 1995). Applied multilevel analysis. Amsterdam: TT-Publikaties.
20. Hox, J. J. (1998). Multilevel modeling: When and why. In I. Balderjahn, R. Mathar, & M. Schader (Eds.), Classification, data analysis and data highways (pp. 147-154). New York: Springer.
21. Juhasz, B. J., & Rayner, K. (2003). Investigating the effects of a set of intercorrelated variables on eye fixations during reading. Journal of Experimental Psychology: Learning, Memory, and Cognition, 29, 1312-1318.
22. Kreft, I. (1996). Are multilevel techniques necessary? An overview, including simulation studies. Retrieved April 23, 2004, from http://www.calstatela.edu/faculty/ikreft/quarterly/quarterly.html
23. Kreft, I., & de Leeuw, J. (1998). Introducing multilevel modeling. London: Sage.
24. Kreft, I., de Leeuw, J., & Aiken, L. S. (1995). The effect of different forms of centering in hierarchical linear models. Multivariate Behavioral Research, 30, 1-21.
25. Long, D. L., & Chong, J. L. (2001). Comprehension skill and global coherence: A paradoxical picture of poor comprehenders' abilities. Journal of Experimental Psychology: Learning, Memory, & Cognition, 27, 1424-1429.
26. Longford, N. T. (1989). Fisher scoring algorithm for variance component analysis of data with multi-level structure. In R. D. Bock (Ed.), Multilevel analysis of educational data (pp. 311-317). San Diego, CA: Academic Press.
27. Lorch, R. F., & Myers, J. L. (1990). Regression analyses of repeated measures data in cognitive research. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 149-157.
28. Magliano, J. P., & Graesser, A. C. (1991). A three-pronged method for studying inference generation in literary text. Poetics, 20, 193-232.
29. Maas, C. J. M., & Hox, J. J. (2002). Sample sizes for multilevel modeling. In J. Blasius, J. Hox, E. de Leeuw, & P. Schmidt (Eds.), Social science methodology in the new millennium: Proceedings of the Fifth International Conference on Logic and Methodology (2nd, exp. ed.) [CD-ROM]. Opladen, Germany: Leske + Budrich.
30. Magliano, J. P., Trabasso, T., & Graesser, A. C. (1999). Strategic processing during comprehension. Journal of Educational Psychology, 91, 615-629.
31. Mok, M. (1995). Sample-size requirements for 2-level designs in educational research. Multilevel Modelling Newsletter, 7(2), 11-15.
32. Muthén, L., & Muthén, B. (2003). Mplus user's guide. Los Angeles: Muthén & Muthén.
33. Nezlek, J. B. (2001). Multilevel random coefficient analyses of event and interval contingent data in social and personality psychology research. Personality and Social Psychology Bulletin, 27, 771-785.
34. Nezlek, J. B. (2003). Using multilevel random coefficient modeling to analyze social interaction diary data. Journal of Social and Personal Relationships, 20, 437-469.
35. Raaijmakers, J. G. W., Schrijnemakers, J. M. C., & Gremmen, F. (1999). How to deal with "the language-as-fixed-effect fallacy": Common misconceptions and alternative solutions. Journal of Memory and Language, 41, 416-426.
36. Rasbash, J., Browne, W., Goldstein, H., Yang, M., Plewis, I., & Healy, M. (2000). A user's guide to MLWiN (2nd ed.). London: Institute of Education.
37. Ratcliff, R. (1993). Methods for dealing with reaction time outliers. Psychological Bulletin, 114, 510-532.
38. Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models: Applications and data analysis methods (2nd ed.). Thousand Oaks, CA: Sage.
39. Raudenbush, S. W., Bryk, A. S., Cheong, Y. F., & Congdon, R. T. (2004). HLM 6: Hierarchical linear and nonlinear modeling. Chicago: Scientific Software International.
40. Robinson, W. S. (1950). Ecological correlations and the behavior of individuals. American Sociological Review, 15, 351-357.
41. Searle, S. R. (1971). Linear models. New York: Wiley.
42. Singer, M. (1994). Discourse inference processes. In M. A. Gernsbacher (Ed.), Handbook of psycholinguistics (pp. 479-515). San Diego, CA: Academic Press.
43. Snijders, T. A. B. (in press). Diagnostic checks for multilevel models. In J. de Leeuw & I. Kreft (Eds.), Handbook of quantitative multilevel analysis.
44. Snijders, T. A. B., & Bosker, R. J. (1999). Multilevel analysis: An introduction to basic and advanced multilevel modeling. London: Sage.
45. Stine-Morrow, E. A. L., Millinder, L., Pullara, O., & Herman, E. (2001). Patterns of resource allocation are reliable among younger and older readers. Psychology & Aging, 16, 69-84.
46. van der Leeden, R. (1998). Multilevel analysis of repeated measures data. Quality and Quantity, 32, 15-29.
47. van der Leeden, R., & Busing, F. M. T. A. (1994). First iteration versus final IGLS/RIGLS estimates in two-level models: A Monte Carlo study with ML3 (Tech. Rep. No. PRM-02-94). Leiden, The Netherlands: Leiden University, Department of Psychometrics and Research Methodology.
48. Winer, B. J. (1971). Statistical principles in experimental design. New York: McGraw-Hill.
49. Wisher, R. A. (1976). The effects of syntactic expectations during reading. Journal of Educational Psychology, 68, 597-602.
50. Wong, G. Y., & Mason, W. M. (1985). The hierarchical logistic regression model for multilevel analysis. Journal of the American Statistical Association, 80, 513-524.
51. Zwaan, R. A. (1994). Effect of genre expectations on text comprehension. Journal of Experimental Psychology: Learning, Memory, and Cognition, 20, 920-933.