PROPHET StatGuide: Model Fitting--Estimating a response variable as a function of one or more predictor variables

• (simple) linear regression (fit a straight line to X-Y data)
• multiple linear regression (fit a response variable as a linear combination of multiple X variables)
• polynomial regression (fit a response variable as a polynomial in a predictor variable)
• non-linear (univariate) regression (fit a specified function in X to X-Y data)
• logistic regression (fit a linear logistic model in one or more X variables to binary Y)

• simple linear regression
• correlation
• linear functions
• curvilinear functions
• non-linear functions
• method of least squares
• residuals
• Gaussian (normal) distribution assumption
• equality of variance (homoscedasticity) assumption
• violation of assumptions
• transformations
• multiple regression
• non-linear regression
• binary variable
• linear logistic model
• logit transformation
• method of maximum likelihood

• Agresti, A. 1990. Categorical Data Analysis. New York: John Wiley & Sons.
• Agresti, A. 1996. An Introduction to Categorical Data Analysis. New York: John Wiley & Sons.
• Brownlee, K. A. 1965. Statistical Theory and Methodology in Science and Engineering. New York: John Wiley & Sons.
• Collett, D. 1991. Modelling Binary Data. London: Chapman and Hall.
• Cox, D.R. and Snell, E.J. 1989. The Analysis of Binary Data. 2nd ed. New York: John Wiley & Sons.
• Daniel, Wayne W. 1995. Biostatistics. 6th ed. New York: John Wiley & Sons.
• Draper, N. R. and Smith, H. 1981. Applied Regression Analysis. 2nd ed. New York: John Wiley & Sons.
• Hoaglin, D. C., Mosteller, F., and Tukey, J. W. 1985. Exploring Data Tables, Trends, and Shapes. New York: John Wiley & Sons.
• Hosmer, D.W. and Lemeshow, S. 1989. Applied Logistic Regression. New York: John Wiley & Sons.
• McCullagh, P and Nelder, J.A. 1989. Generalized Linear Models. 2nd ed. London: Chapman and Hall.
• Neter, J., Wasserman, W., and Kutner, M.H. 1990. Applied Linear Statistical Models. 3rd ed. Homewood, IL: Irwin.
• Rosner, Bernard. 1995. Fundamentals of Biostatistics. 4th ed. Belmont, California: Duxbury Press.
• Scales, L. E. 1985. Introduction to Non-linear Optimization. New York: Springer-Verlag.
• Sokal, Robert R. and Rohlf, F. James. 1995. Biometry. 3rd. ed. New York: W. H. Freeman and Co.
• Zar, Jerrold H. 1996. Biostatistical Analysis. 3rd ed. Upper Saddle River, NJ: Prentice-Hall.

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Last modified: February 14, 1997