Effects of measurement errors in predictor selection of linear regression model

Computational Statistics and Data Analysis

Volumn 52, Issue 2, 2007, Pages 1183-1195

  Vehkalahti, Kimmo ^a   Puntanen, Simo ^b   Tarkkonen, Lauri ^a  

^a UNIVERSITY OF HELSINKI   (Finland)

^b TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Factor analysis; Measurement error; Regression; Reliability; Validity

Indexed keywords

FACTORIZATION; LINEAR REGRESSION; MATHEMATICAL MODELS; MEASUREMENT THEORY; MONTE CARLO METHODS; PROBLEM SOLVING; RELIABILITY THEORY;

FACTOR ANALYSIS; LINEAR REGRESSION MODELS; MEASUREMENT MODELS;

MEASUREMENT ERRORS;

EID: 35148850177     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2007.05.005     Document Type: Article

References (29)

1. Ahmavaara, Y., 1954. Transformation analysis of factorial data. Ph.D. Thesis. Ann. Acad. Sci. Fenn. Ser. B 88.
2. Anderson T.W. An Introduction to Multivariate Statistical Analysis. third ed (2003), Wiley, New Jersey
3. Anderson, T.W., Rubin, H., 1956. Statistical inference in factor analysis. In: Neyman, J. (Ed.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, vol. V. University of California Press, Berkeley, Los Angeles, CA, pp. 111-150.
4. Bollen K.A. Structural Equations with Latent Variables (1989), Wiley, New York
5. Cheng C.-L., and Van Ness J.W. Statistical Regression with Measurement Error (1999), Arnold, London
6. Cliff N. Orthogonal rotation to congruence. Psychometrika 31 (1966) 33-42
7. Fuller W.A. Measurement Error Models (1987), Wiley, New York
8. Gleser L.J. The importance of assessing measurement reliability in multiple regression. J. Amer. Statist. Assoc. 76 419 (1992) 696-707
9. Hurley J.R., and Cattell R.B. Procrustes program: producing direct rotation to test a hypothesised factor structure. Behavioral Sci. 7 (1962) 258-262
10. Isogawa Y., and Okamoto M. Linear prediction in the factor analysis model. Biometrika 67 (1980) 482-484
11. Isotalo, J., Puntanen, S., Styan, G.P.H., 2005. Matrix tricks for linear statistical models: our personal top sixteen. Research Report A 363, Department of Mathematics, Statistics and Philosophy, University of Tampere, Tampere, Finland.
12. Jöreskog K.G. A general method for analysis of covariance structures. Biometrika 57 (1970) 239-251
13. Kim H.M., and Saleh A.K.M.E. Improved estimation of regression parameters in measurement error models. J. Multivariate Anal. 95 (2005) 273-300
14. Lawley D.N., and Maxwell A.E. Factor Analysis as a Statistical Method. second ed (1971), Butterworths, London
15. Lawley D.N., and Maxwell A.E. Regression and factor analysis. Biometrika 60 (1973) 331-338
16. Mustonen, S., 1966. Symmetrinen transformaatioanalyysi (Symmetric transformation analysis). Report 24, Social Research Institute of Alcohol Studies, Helsinki, Finland (in Finnish).
17. Mustonen, S., 1989. Programming SURVO 84 in C, SURVO 84C contributions 3. Department of Statistics, University of Helsinki, Helsinki, Finland.
18. Mustonen, S., 1992. Survo, An Integrated Environment for Statistical Computing and Related Areas. Survo Systems, Helsinki, Finland.
19. Mustonen, S., 1995. Tilastolliset monimuuttujamenetelmät (Statistical Multivariate Methods). Survo Systems, Helsinki, Finland (in Finnish).
20. Mustonen, S., 2001. SURVO MM: computing environment for creative processing of text and numerical data, 〈http://www.survo.fi/mm/english.html〉.
21. Schönemann P.H. A generalized solution of the orthogonal Procrustes problem. Psychometrika 31 (1966) 1-10
22. Scott J.T. Factor analysis and regression. Econometrica 34 (1966) 552-562
23. Seber G.A.F. Multivariate Observations (1984), Wiley, New York
24. Tarkkonen, L., 1987. On Reliability of Composite Scales. Statistical Studies, vol. 7. Finnish Statistical Society, Helsinki, Finland.
25. Tarkkonen L., and Vehkalahti K. Measurement errors in multivariate measurement scales. J. Multivariate Anal. 96 (2005) 172-189
26. Tezuka S., and L'Ecuyer P. Efficient and portable combined Tausworthe random number generators. ACM Trans. Modelling and Comput. Simulation 1 (1991) 99-112
27. Vehkalahti, K., 2000. Reliability of Measurement Scales. Statistical Research Reports, vol. 17. Finnish Statistical Society, Helsinki, Finland.
28. Vehkalahti K. Leaving useful traces when working with matrices. Res. Lett. in Inform. and Math. Sci. 8 (2005) 143-154. http://iims.massey.ac.nz/research/letters/volume8/ 〈http://iims.massey.ac.nz/research/letters/volume8/〉
29. Vehkalahti, K., Puntanen, S., Tarkkonen, L., 2006. Estimation of reliability: a better alternative for Cronbach's alpha. Reports on Mathematics 430, Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland, 〈http://mathstat.helsinki.fi/reports/Preprint430.pdf〉.