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Estimation Of Growth Curves By Least Square Splines, Dorothy Rybaczyk Pathak
Estimation Of Growth Curves By Least Square Splines, Dorothy Rybaczyk Pathak
Mathematics & Statistics ETDs
The primary object of this dissertation is to present some contributions to the theory of estimation of growth curves by least square splines in the presence of unknown unequal variances. The theoretical developments rest heavily on the standard least square theory and the theory of polynomial spline functions. A modification of the Aitken procedure of weighted least squares is used to estimate regression parameters. It is shown that this modification of the Aitken procedure does not unduly influence the nice least square properties of estimators so obtained; the estimators re main unbiased, consistent and asymptotically efficient.
The techniques developed in …