Estimating linear effects in ANOVA designs: The easy way

Behavior Research Methods

Volumn 44, Issue 3, 2012, Pages 788-794

  Pinhas, Michal ^a   Tzelgov, Joseph ^b   Ganor Stern, Dana ^c  

^a DUKE UNIVERSITY   (United States)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^c ACHVA ACADEMIC COLLEGE   (Israel)

Author keywords

Distance effect; Linear effect; Numerical cognition; Repeated measures ANOVA; SNARC effect

Indexed keywords

ANALYSIS OF VARIANCE; ARTICLE; COGNITION; HUMAN; PROBLEM SOLVING; PSYCHOLOGY; REACTION TIME; REGRESSION ANALYSIS; STATISTICAL MODEL; STATISTICS;

ANALYSIS OF VARIANCE; COGNITION; HUMANS; LINEAR MODELS; PROBLEM SOLVING; PSYCHOLOGY, EXPERIMENTAL; REACTION TIME; REGRESSION ANALYSIS;

EID: 84865623355     PISSN: 1554351X     EISSN: 15543528     Source Type: Journal    
DOI: 10.3758/s13428-011-0172-y     Document Type: Article

References (28)

1. American Psychological Association. (2009). Publication manual of the American Psychological Association (6th ed.). Washington, DC: Author.
2. Bonato, M., Fabbri, S., Umiltà, C., & Zorzi, M. (2007). The mental representation of numerical fractions: Real or integer? Journal of Experimental Psychology: Human Perception and Performance, 33, 1410-1419. doi: 10. 1037/0096-1523. 33. 6. 1410.
3. Brysbaert, M. (1995). Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. Journal of Experimental Psychology: General, 124, 434-452. doi: 10. 1037/0096-3445. 124. 4. 434.
4. Cohen, J. (1965). Some statistical issues in psychological research. In B. B. Wolman (Ed.), Handbook of clinical psychology (pp. 95-121). New York, NY: McGraw-Hill.
5. Cohen, J. (1973). Eta-squared and partial eta-squared in fixed factor ANOVA designs. Educational and Psychological Measurement, 33, 107-112. doi: 10. 1177/001316447303300111.
6. Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44, 1-42. doi: 10. 1016/0010-0277(92)90049-N.
7. Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371-396. doi: 10. 1037/0096-3445. 122. 3. 371.
8. Fias, W. (2001). Two routes for the processing of verbal numbers: Evidence from the SNARC effect. Psychological Research, 65, 250-259. doi: 10. 1007/s004260100065.
9. Fias, W., Brysbaert, M., Geypens, F., & d'Ydewalle, G. (1996). The importance of magnitude information in numerical processing: Evidence from the SNARC effect. Mathematical Cognition, 2, 95-110.
10. Fias, W., & Fischer, M. H. (2005). Spatial representation of numbers. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 43-54). New York, NY: Psychology Press.
11. Fischer, M. H. (2003). Cognitive representation of negative numbers. Psychological Science, 14, 278-282. doi: 10. 1111/1467-9280. 03435.
12. Fischer, M. H., & Rottmann, J. (2005). Do negative numbers have a place on the mental number line? Psychology Science Quarterly, 47, 22-32.
13. Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74. doi: 10. 1016/0010-0277(92)90050-R.
14. Ganor-Stern, D., Pinhas, M., Kallai, A., & Tzelgov, J. (2010). Holistic representation of negative numbers is formed when needed for the task. Quarterly Journal of Experimental Psychology, 63, 1969-1981. doi: 10. 1080/17470211003721667.
15. Gevers, W., Verguts, T., Reynvoet, B., Caessens, B., & Fias, W. (2006). Numbers and space: A computational model of the SNARC effect. Journal of Experimental Psychology: Human Perception and Performance, 32, 32-44. doi: 10. 1037/0096-1523. 32. 1. 32.
16. Hubbard, E. M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions between number and space in parietal cortex. Nature Reviews Neuroscience, 6, 435-448. doi: 10. 1038/nrn1684.
17. Kallai, A. Y., & Tzelgov, J. (2009). A generalized fraction: An entity smaller than one on the mental number line. Journal of Experimental Psychology: Human Perception and Performance, 35, 1845-1864. doi: 10. 1037/a0016892.
18. Keppel, G. (1991). Design and analysis: A researcher's handbook (3rd ed.). Englewood Cliffs, NJ: Prentice Hall.
19. Kessler, Y., & Meiran, N. (2008). Two dissociable updating processes in working memory. Journal of Experimental Psychology: Learning, Memory, and Cognition, 34, 1339-1348. doi: 10. 1037/a0013078.
20. 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. doi: 10. 1037/0278-7393. 16. 1. 149.
21. Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519-1520. doi: 10. 1038/2151519a0.
22. Nuerk, H.-C., Iversen, W., & Willmes, K. (2004). Notational modulation of the SNARC and the MARC (linguistic markedness of response codes) effect. Quarterly Journal of Experimental Psychology, 57A, 835-863. doi: 10. 1080/02724980343000512.
23. Robson, D. S. (1959). A simple method for constructing orthogonal polynomials when the independent variable is unequally spaced. Biometrics, 15, 187-191. doi: 10. 2307/2527668.
24. Shaki, S., & Petrusic, W. M. (2005). On the mental representation of negative numbers: Context-dependent SNARC effects with comparative judgments. Psychonomic Bulletin & Review, 12, 931-937. doi: 10. 3758/BF03196788.
25. Treisman, A. M., & Gelade, G. (1980). A feature-integration theory of attention. Cognitive Psychology, 12, 97-136. doi: 10. 1016/0010-0285(80)90005-5.
26. Verguts, T., Fias, W., & Stevens, M. (2005). A model of exact small-number representation. Psychonomic Bulletin & Review, 12, 66-80. doi: 10. 3758/BF03196349.
27. Wood, G., Willmes, K., Nuerk, H.-C., & Fischer, M. H. (2008). On the cognitive link between space and number: A meta-analysis of the SNARC effect. Psychology Science Quarterly, 50, 489-525.
28. Zorzi, M., & Butterworth, B. (1999). A computational model of number comparison. In M. Hahn & S. C. Stoness (Eds.), Proceedings of the 21st Annual Meeting of the Cognitive Science Society (pp. 772-777). Mahwah, NJ: Erlbaum.