Parametric statistics and levels of measurement : factorial designs and multiple regression

作者: Mark L. Davison , Anu R. Sharma

DOI: 10.1037/0033-2909.107.3.394

关键词:

摘要: Let Y be a continuous, ordinal measure of latent variable θ. In general, for factorial designs, an analysis variance the observed cannot used to draw inferences about main effects and interactions on θ even when standard normality equality assumptions hold.

参考文章(16)
Kai Lai Chung, A Course in Probability Theory ,(1949)
Stanley Smith Stevens, Handbook of experimental psychology ,(1951)
Edgar F. Borgatta, George W. Bohrnstedt, Level of Measurement Once Over Again Sociological Methods & Research. ,vol. 9, pp. 147- 160 ,(1980) , 10.1177/004912418000900202
Bruce D. Spencer, Test Scores as Social Statistics: Comparing Distributions: Journal of Educational and Behavioral Statistics. ,vol. 8, pp. 249- 269 ,(1983) , 10.3102/10769986008004249
Mark L. Davison, Anu R. Sharma, Parametric statistics and levels of measurement. Psychological Bulletin. ,vol. 104, pp. 137- 144 ,(1988) , 10.1037/0033-2909.104.1.137
Scott E. Maxwell, Harold D. Delaney, Measurement and Statistics: An Examination of Construct Validity. Psychological Bulletin. ,vol. 97, pp. 85- 93 ,(1985) , 10.1037/0033-2909.97.1.85
F. Gregory Ashby, James T. Townsend, The Stochastic Modeling of Elementary Psychological Processes ,(1983)
John Gaito, Measurement scales and statistics: Resurgence of an old misconception. Psychological Bulletin. ,vol. 87, pp. 564- 567 ,(1980) , 10.1037/0033-2909.87.3.564
Richard B. Darlington, Comparing two groups by simple graphs. Psychological Bulletin. ,vol. 79, pp. 110- 116 ,(1973) , 10.1037/H0033854