A two-step approach for transforming continuous variables to normal: Implications and recommendations for IS research

Communications of the Association for Information Systems

Volumn 28, Issue 1, 2011, Pages 41-58

  Templeton, Gary F ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

Contributing theory; Discipline; Interdisciplinary; Math modeling; Reference theory

Indexed keywords

INVERSE PROBLEMS;

CONTRIBUTING THEORY; DISCIPLINE; INTERDISCIPLINARY; MATH MODEL; REFERENCE THEORY;

NORMAL DISTRIBUTION;

EID: 79953006690     PISSN: 15293181     EISSN: None     Source Type: Journal    
DOI: 10.17705/1cais.02804     Document Type: Article

References (34)

1. Abramowitz, M. and I.A. Stegun (eds.) (1964) Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, NBS Applied Mathematics Series 55, Washington, DC: National Bureau of Standards.
2. Andrés, L., D. Cuberes, M.A. Diouf, and T. Serebrisky (2010) "The Diffusion of the Internet: A Cross-Country Analysis", Telecommunications Policy (34)5-6, pp. 323-340, http://www.sciencedirect.com/science?ob=ArticleURL&udi=B6VCC-4YCGM0F-1&user=10&coverDate=07%2F31%2F2010&rdoc=1&fmt=high&orig=search&origin=search&sort=d&docanchor=&view=c&searchStrId=1612899552&rerunOrigin=google&acct=C000050221&version=1&ur (current Jan. 19, 2011).
3. Barnes, P. (1982) "Methodological Implications of Non-Normally Distributed Financial Ratios", Journal of Business Finance and Accounting (9), pp. 51-62, http://onlinelibrary.wiley.com/doi/10.1111/j.1468-5957.1982.tb00972.x/abstract (current Jan. 19, 2011).
4. Baroudi, J.J. and W.J. Orlikowski (1989) "The Problem of Statistical Power in IS Research", MIS Quarterly (13)1, pp. 87-106, http://misq.org/the-problem-of-statistical-power-in-mis-research.html?SID=bcuslikofpqata5e37mnj4ftt3 (current Jan. 19, 2011).
5. Berger, R.A. (2000) "Effects of Population and Sample Normality on Significance Level and Test Power", Notes on Sociolinguistics (5), pp. 129-137, http://www.ethnologue.com/show_work.asp?id=41430 (current Jan. 19, 2011).
6. Borooah, V.K. (2002) Logit and Probit: Ordered and Multinomial Models, Thousand Oaks, CA: Sage Publications.
7. Brito, L.A.L. and F.C. de Vasconcelos (2009) "The Variance Composition of Firm Growth Rates", Brazilian Administration Review (6)2, pp. 118-136, http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-76922009000200004&lng=en&nrm=iso (current Jan. 19, 2011).
8. Brynjolfsson, E. and L.M. Hitt (2003) "Computing Productivity: Firm-Level Evidence", Review of Economics & Statistics (85)4, pp. 793-808, http://www.mitpressjournals.org/doi/abs/10.1162/003465303772815736?journalCode=rest (current Jan. 19, 2011).
9. Choi, J. and H. Wang (2009) "Stakeholder Relations and the Persistence of Corporate Financial Performance", Strategic Management Journal (30)8, pp. 895-907, http://onlinelibrary.wiley.com/doi/10.1002/smj.759/abstract (current Jan. 19, 2011).
10. Cook, T., D. Campbell, and L. Peracchio (1990) "Quasi Experimentation", in Dunnette, M. and L. Hough (eds.) Handbook of Industrial and Organizational Psychology, 2nd edition, Volume 1, Palo Alto, CA: Consulting Psychologists Press, pp. 491-576.
11. Daykin, A.R. and P.G. Moffatt (2002) "Analyzing Ordered Responses: A Review of the Ordered Probit Model", Understanding Statistics (1)3, pp. 157-166, http://www.informaworld.com/smpp/content~db=all~content=a787469925~frm=titlelink (current Jan. 19, 2011).
12. Deakin, E. (1976) "Distributions of Financial Accounting Ratios: Some Empirical Evidence", The Accounting Review (51)1, pp. 90-96, http://www.jstor.org/pss/245375 (current Jan. 19, 2011).
13. Doyle, P. (1977) "The Application of Probit, Logit, and Tobit in Marketing: A Review", Journal of Business Research (5)3, pp. 235-248, http://www.sciencedirect.com/science?_ob=PublicationURL&tockey=%23TOC%235850%231977%23999949996%23303424%23FLP%23&cdi=5850&pubType=J&view=c&auth=y&acct=C000050221&version=1&urlVersion=0&userid=10&md5=ba1584e0cf9d12f84ae29ae044890c88 (current Jan. 19, 2011).
14. Figelman, I. (2009) "Effect of Non-Normality Dynamics on the Expected Return of Options", Journal of Portfolio Management (35)2, pp. 110-117, http://www.iijournals.com/doi/abs/10.3905/JPM.2009.35.2.110 (current Jan. 19, 2011).
15. Fishman, G.S. (2003) Monte Carlo: Concepts, Algorithms, and Applications, New York, NY: Springer.
16. Goodhue, D., W. Lewis, and R. Thompson (2007) "Statistical Power in Analyzing Interaction Effects: Questioning the Advantage of PLS with Product Indicators", Information Systems Research (18)2, pp. 211-227, http://isr.journal.informs.org/cgi/content/abstract/18/2/211 (current Jan. 19, 2011).
17. Hair, J.F., W.C. Black, B.J. Babin, and R.E. Anderson (2010) Multivariate Data Analysis, 7th edition, Upper Saddle River, NJ: Prentice Hall.
18. Killeen, P.R. (2005) "An Alternative to Null Hypothesis Significance Tests", Psychological Science (16)5, pp. 345-353, http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1473027/ (current Jan. 19, 2011).
19. Massetti, B. (1998) "An Ounce of Preventative Research Design Is Worth a Ton of Statistical Analysis Cure", MIS Quarterly (22)1, pp. 89-93, http://misq.org/an-ounce-of-preventative-research-design-is-worth-a-tone-ofstatistical-analysis-cure.html?SID=bcuslikofpqata5e37mnj4ftt3 (current Jan. 19, 2011).
20. Maxwell, S.E. and H.D. Delaney (1985) "Measurement and Statistics: An Examination of Construct Validity", Psychological Bulletin (97)1, pp. 85-93, http://psycnet.apa.org/journals/bul/97/1/85/ (current Jan. 19, 2011).
21. Nunnally, J.C. and I.H. Bernstein (1994) Psychometric Theory, 3rd edition, New York, NY: McGraw-Hill.
22. Qureshi, I. and D. Compeau (2009) "Assessing Between-Group Differences in Information Systems Research: A Comparison of Covariance- and Component-Based SEM", MIS Quarterly (33)1, pp. 197-214, http://misq.org/assessing-between-group-differences-in-information-systems-research-a-comparison-ofcovariance-and-component-based-sem.html?SID=bcuslikofpqata5e37mnj4ftt3 (current Jan. 19, 2011).
23. Saeed, K.A., V. Grover, and Y. Hwang (2005) "The Relationship of E-Commerce Competence to Customer Value and Firm Performance: An Empirical Investigation", Journal of Management Information Systems (22)1, pp. 223-256, http://www.jmis-web.org/articles/v22_n1_p223/index.html (current Jan. 19, 2011).
24. Schweder, T. and N.L. Hjort (2002) "Confidence and Likelihood", Scandinavian Journal of Statistics (29)2, pp. 309-332, http://onlinelibrary.wiley.com/doi/10.1111/1467-9469.00285/abstract (current Jan. 19, 2011).
25. Shadish, W.R., T.D. Cook, and D.T. Campbell (2002) Experimental and Quasi-Experimental Designs for Generalized Causal Inference, Boston, MA: Houghton-Mifflin.
26. Shumate, S.R., J. Surles, and R.L. Johnson (2007) "The Effects of the Number of Scale Points and Non-Normality on the Generalizability Coefficient: A Monte Carlo Study", Applied Measurement in Education (20)4, pp. 357-376, http://www.informaworld.com/smpp/content~db=all~content=a788053259~frm=titlelink (current Jan. 19, 2011).
27. Skinner, W. (1986) "The Productivity Paradox", Management Review (75)9, p. 41.
28. Straub, D., M.-C. Boudreau, and D. Gefen (2004) "Validation Guidelines for IS Positivist Research", Communications of the Association for Information Systems (13), pp. 380-427.
29. Tanriverdi, H. (2005) "Information Technology Relatedness Knowledge Management Capability, and Performance of Multibusiness Firms", MIS Quarterly (29)2, pp. 311-334.
30. van Albada, S.J. and P.A. Robinson (2007) "Transformation of Arbitrary Distributions to the Normal Distribution with Application to EEG Test-Retest Reliability", Journal of Neuroscience Methods (161)2, pp. 205-211, http://www.sciencedirect.com/science?_ob=ArticleURL&udi=B6T04-4MR7D3V-1&user=10&coverDate=04%2F15%2F2007&rdoc=1&fmt=high&orig=search&origin=search&sort=d&docanchor=&view=c&searchStrId=1612881751&rerunOrigin=google&acct=C000050221&version=1&ur (current Jan. 19, 2011).
31. Watson, C.J. (1990) "Multivariate Distributional Properties, Outliers, and Transformation of Financial Ratios", The Accounting Review (65)3, pp. 682-695, http://www.jstor.org/pss/247957 (current Jan. 19, 2011).
32. Wigblad, R., J. Lewer, and M. Hansson (2007) "A Holistic Approach to the Productivity Paradox", Human Systems Management (26)2, pp. 85-97.
33. Yuan, Z. and G. Chen (2009) "Asymptotic Normality for EMS Option Price Estimator with Continuous or Discontinuous Payoff Functions", Management Science (55)8, pp. 1438-1450 http://mansci.journal.informs.org/cgi/content/abstract/55/8/1438 (current Jan. 19, 2011).
34. Zeis, C., A.K. Waronska, and R. Fuller, (2009) "Value-Added Program Assessment Using Nationally Standardized Tests: Insights into Internal Validity Issues", Journal of the Academy of Business & Economics (9)1, pp. 114-128, http://findarticles.com/p/articles/mi_m0OGT/is_1_9/ (current Jan. 19, 2011).