Contrast Coding in Least Squares Regression Analysis 1

The use of multiple regression as a data-analytic tool is examined for the cases of balanced and unbalanced designs. The utility of this method for testing specific contrasts, both orthogonal and non-orthogonal, is discussed and some interpretive cautions are examined. An example is given to illustrate the four design situations which are possible under the different coding and cell size conditions.

[1]  J. Overall,et al.  Concerning least squares analysis of experimental data. , 1969 .

[2]  N. Draper,et al.  Applied Regression Analysis. , 1967 .

[3]  R. Hurst Qualitative Variables in Regression Analysis , 1970 .

[4]  F. Graybill An introduction to linear statistical models , 1961 .

[5]  J. A. Creager The Interpretation of Multiple Regression Via Overlapping Rings , 1969 .

[6]  E Jennings,et al.  FIXED EFFECTS ANALYSIS OF VARIANCE BY REGRESSION ANALYSIS. , 1967, Multivariate behavioral research.

[7]  R. Darlington,et al.  Multiple regression in psychological research and practice. , 1968, Psychological bulletin.

[8]  H. Walberg Generalized Regression Models in Educational Research , 1971 .

[9]  A. Mood Partitioning Variance in Multiple Regression Analyses as a Tool For Developing Learning Models , 1971 .

[10]  B. J. Winer,et al.  Statistical Principles in Experimental Design, 2nd Edition. , 1973 .

[11]  G. Joe Comment on Overall and Spiegel's "Least squares analysis of experimental data." , 1971 .

[12]  J. Overall,et al.  Comments on Rawlings' nonorthogonal analysis of variance. , 1973 .

[13]  Richard L. Gorsuch DATA ANALYSIS OF CORRELATED INDEPENDENT VARIABLES , 1973 .

[14]  R. Linn,et al.  Casual assumptions in various procedures for the least squares analysis of categorical data. , 1971 .

[15]  O. Kempthorne The Design and Analysis of Experiments , 1952 .

[16]  James Fennessey,et al.  The General Linear Model: A New Perspective on Some Familiar Topics , 1968, American Journal of Sociology.

[17]  R. Rawlings Note on nonorthogonal analysis of variance. , 1972 .

[18]  Margaret J. Robertson,et al.  Design and Analysis of Experiments , 2006, Handbook of statistics.

[19]  J. Elashoff,et al.  Multiple Regression in Behavioral Research. , 1975 .

[20]  A Multiple Regression Approach to Multiple Comparisons for Comparing Several Treatments with a Control. , 1971 .

[21]  Jacob Cohen Multiple regression as a general data-analytic system. , 1968 .

[22]  Richard C. Pugh,et al.  The Partitioning of Criterion Score Variance Accounted for in Multiple Correlation , 1968 .

[23]  R. Robert,et al.  Comments on the Overall and Spiegel Paper. , 1973 .

[24]  D. Suits Use of Dummy Variables in Regression Equations , 1957 .

[25]  R. A. Bottenberg,et al.  APPLIED MULTIPLE LINEAR REGRESSION , 1964 .

[26]  John D. Williams A Regression Approach to Experimental Design , 1970 .