128
Views
0
CrossRef citations to date
0
Altmetric
Measurement, Statistics, and Research Design

Brief Research Report: Effects of Sampling Error and Categorization on Estimation of Measure of Sampling Adequacy

, &

References

  • Bentler, P. M., & Yuan, K. H. (2011). Positive definiteness via off-diagonal scaling of a symmetric indefinite matrix. Psychometrika, 76(1), 119–123. https://doi.org/10.1007/s11336-010-9191-3
  • Bollen, K. A., & Barb, K. H. (1981). Pearson’s r and coarsely categorized measures. American Sociological Review, 46(2), 232–239. https://doi.org/10.2307/2094981
  • Cerny, B. A., & Kaiser, H. F. (1977). A study of a measure of sampling adequacy for factor-analytic correlation matrices. Multivariate Behavioral Research, 12(1), 43–47. https://doi.org/10.1207/s15327906mbr1201_3
  • Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum Associates.
  • Comrey, A. L., & Lee, H. B. (1992). A first course in factor analysis (2nd ed.). Erlbaum.
  • Dziuban, C. D., & Shirkey, E. C. (1974a). On the psychometric assessment of correlation matrices. American Educational Research Journal, 11(2), 211–216. https://doi.org/10.3102/00028312011002211
  • Dziuban, C. D., & Shirkey, E. C. (1974b). When is a correlation matrix appropriate for factor analysis? Some decision rules. Psychological Bulletin, 81(6), 358–361. https://doi.org/10.1037/h0036316
  • Dziuban, C. D., Shirkey, E. C., & Peeples, T. O. (1979). An investigation of some distributional characteristics of the measure of sampling adequacy. Educational and Psychological Measurement, 39(3), 543–549. https://doi.org/10.1177/001316447903900304
  • Flora, D. B., & Curran, P. J. (2004). An empirical evaluation of alternative methods of estimation for confirmatory factor analysis with ordinal data. Psychological Methods, 9(4), 466–491. https://doi.org/10.1037/1082-989X.9.4.466
  • Garrido, L. E., Abad, F. J., & Ponsoda, V. (2011). Performance of Velicer’s minimum average partial factor retention method with categorical variables. Educational and Psychological Measurement, 71(3), 551–570. https://doi.org/10.1177/0013164410389489
  • Garrido, L. E., Abad, F. J., & Ponsoda, V. (2013). A new look at Horn’s parallel analysis with ordinal variables. Psychological Methods, 18(4), 454–474. https://doi.org/10.1037/a0030005
  • Gaskin, C. J., & Happell, B. (2014). On exploratory factor analysis: A review of recent evidence, an assessment of current practice, and recommendations for future use. International Journal of Nursing Studies, 51(3), 511–521. https://doi.org/10.1016/j.ijnurstu.2013.10.005
  • Guttman, L. (1940). Multiple rectilinear prediction and the resolution into components. Psychometrika, 5(2), 75–99. https://doi.org/10.1007/BF02287866
  • Guttman, L. (1953). Image theory for the structure of quantitative variates. Psychometrika, 18(4), 277–296. https://doi.org/10.1007/BF02289264
  • Guttman, L. (1956). “Best possible” systematic estimates of communalities. Psychometrika, 21(3), 273–285. https://doi.org/10.1007/BF02289137
  • Hair, J. F., Jr., Black, W. C., Babin, B. J., Anderson, R. E., & Tatham, R. L. (2016). Multivariate data analysis (7th ed.). Pearson Prentice Hall.
  • Henson, R. K., & Roberts, J. K. (2006). Use of exploratory factor analysis in published research: Common errors and some comment on improved practice. Educational and Psychological Measurement, 66(3), 393–416. https://doi.org/10.1177/0013164405282485
  • Holgado-Tello, F. P., Chacón-Moscoso, S., Barbero-García, I., & Vila-Abad, E. (2010). Polychoric versus Pearson correlations in exploratory and confirmatory factor analysis of ordinal variables. Quality & Quantity, 44(1), 153–166. https://doi.org/10.1007/s11135-008-9190-y
  • Jöreskog, K. G., & Moustaki, I. (2001). Factor analysis of ordinal variables: A comparison of three approaches. Multivariate Behavioral Research, 36(3), 347–387. https://doi.org/10.1207/S15327906347-387
  • Kaiser, H. F. (1970). A second generation Little Jiffy. Psychometrika, 35(4), 401–415. https://doi.org/10.1007/BF02291817
  • Kaiser, H. F. (1981). A revised measure of sampling adequacy for factor–analytic data matrices. Educational and Psychological Measurement, 41(2), 379–381. https://doi.org/10.1177/001316448104100216
  • Kaiser, H. F., & Rice, J. (1974). Little Jiffy, Mark IV. Educational and Psychological Measurement, 34(1), 111–117. https://doi.org/10.1177/001316447403400115
  • MacCallum, R. C., Widaman, K. F., Zhang, S., & Hong, S. (1999). Sample size in factor analysis. Psychological Methods, 4(1), 84–99. https://doi.org/10.1037/1082-989X.4.1.84
  • Meyer, E. P. (1975). A measure of the average intercorrelation. Educational and Psychological Measurement, 35(1), 67–72. https://doi.org/10.1177/001316447503500107
  • Meyer, E. P., Kaiser, H. F., Cerny, B. A., & Green, B. F. (1977). MSA for a special Spearman matrix. Psychometrika, 42(1), 153–156. https://doi.org/10.1007/BF02293753
  • Olsson, U. (1979a). Maximum likelihood estimation of the polychoric correlation coefficient. Psychometrika, 44(4), 443–460. https://doi.org/10.1007/BF02296207
  • Olsson, U. (1979b). On the robustness of factor analysis against crude classification of the observations. Multivariate Behavioral Research, 14(4), 485–500. https://doi.org/10.1207/s15327906mbr1404_7
  • R Core Team. (2019). R: A language and environment for statistical computing (Version 3.6.0) [Computer software]. R Foundation for Statistical Computing. https://www.R-project.org/
  • Revelle, W. (2017). psych: Procedures for Psychological, Psychometric, and Personality Research (R package version 1.75) [Computer software manual]. https://CRAN.R-project.org/package=psych
  • RStudio Team. (2016). RStudio: Integrated Development for R (Version 1.0.153) [Computer software]. RStudio, Inc. http://www.rstudio.com/
  • Savalei, V. (2011). What to do about zero frequency cells when estimating polychoric correlations. Structural Equation Modeling: A Multidisciplinary Journal, 18(2), 253–273. https://doi.org/10.1080/10705511.2011.557339
  • Sharma, S. (1996). Applied multivariate techniques. John Wiley.
  • Shirkey, E. C., & Dziuban, C. D. (1976). A note on some sampling characteristics of the measure of sampling adequacy (MSA). Multivariate Behavioral Research, 11(1), 125–128. https://doi.org/10.1207/s15327906mbr1101_9
  • Slocum, S. L. (2005). Assessing unidimensionality of psychological scales: Using individual and integrative criteria from factor analysis [Doctoral dissertation, University of British Columbia]. University of British Columbia. https://open.library.ubc.ca/cIRcle/collections/ubctheses/831/items/1.0054414
  • Slocum-Gori, S. L., & Zumbo, B. D. (2011). Assessing the unidimensionality of psychological scales: Using multiple criteria from factor analysis. Social Indicators Research, 102(3), 443–461. https://doi.org/10.1007/s11205-010-9682-8
  • Tabachnick, B. G., & Fidell, L. S. (2013). Using multivariate statistics (6th ed.). Allyn & Bacon.
  • Wang, C. N. (2001). Effect of number of response categories and scale distribution on factor analysis [Unpublished master’s thesis]. National Taiwan University.
  • Wang, C. N., & Weng, L. J. (2002). Evaluating the use of exploratory factor analysis in Taiwan: 1993–1999. Chinese Journal of Psychology, 44(2), 239–251.
  • Weng, L. J., & Cheng, C. P. (2005). Parallel analysis with unidimensional binary data. Educational and Psychological Measurement, 65(5), 697–716. https://doi.org/10.1177/0013164404273941
  • Weng, L. J., & Cheng, C. P. (2017). Is categorization of random data necessary for parallel analysis on Likert-type data? Communications in Statistics - Simulation and Computation, 46(7), 5367–5377. https://doi.org/10.1080/03610918.2016.1154154
  • Yang, Y., & Xia, Y. (2015). On the number of factors to retain in exploratory factor analysis for ordered categorical data. Behavior Research Methods, 47(3), 756–772. https://doi.org/10.3758/s13428-014-0499-2

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.