An introduction to the use of segmented polynomial models in behavioral science research is presented. Examples of suitably defined design matrices of dummy variables are given for the least squares analyses of time series and discontinuity quasi-experimental research designs. Linear combinations of dummy variable vectors are shown to provide tests of effects in the two quasi-experimental designs. Interpretation of results from the segmented polynomial analyses is also demonstrated.
Get full access to this article
View all access options for this article.
References
1.
Campbell, D. T.Reforms as experiments. American Psychologist, 1969, 24, 409-429.
2.
Campbell, D. T. and Stanley, J. C.Experimental and quasi-experimental designs for research on teaching. In N. L. Gage (Ed.), Handbook of Research on Teaching, Chicago: Rand McNally, 1963.
3.
Draper, N. R. and Smith, H.Applied Regression Analysis. New York : John Wiley and Sons, 1966 .
4.
Fuller, W. A.Grafted polynomials as approximating function. Australian Journal of Agricultural Economics, 1969, 13, 35-46.
5.
Kerlinger, F. N. and Pedhauzer, E. J.Multiple Regression in Behavioral Research. New York: Holt, Rinehart, and Winston, 1973.
6.
Neter, J. and Wasserman, W.Applied Linear Statistical Models. Homewood Illinois: Richard B. Irwin, Inc., 1974.
7.
Ward, J. H. and Jennings, E.Introduction to Linear Models. Englewood Cliffs, New Jersey: Prentice-Hall, 1973.