The Estimates Of Regression Coefficient Matrix In The Growth Curve Model With Random Effects

We considers The Growth Curve Modeland The Growth Curve Model with Random Effects:The paper is organized into three chapters.Firstly the relative backgrounds of the two models and their recent research results are introduced in chapter 1. In chapter 2,we firstly introduced three familiar estimates of regression coefficient θ : MLE, LSE, BLUE ,then discussed under which condition the BLUE or MLE is identical to the LSE. Chapter 3 is devoted to discuss the two-stage estimate of KθL,which mainly included two sides: one side is how to compute the two-stage estimate; the other is about its optimal properties .Firstly we give a rather easy method of computing the two-stage estimate, then give a fundamental conclusion on how it was become an unbiased estimate,using this conclusion we proofed two important two-stage estimates are unbiased estimates.