Graduation Year

2014

Date of Thesis Acceptance

Spring 5-14-2014

Major Department or Program

Mathematics

Advisor(s)

Kelly McConville

Abstract

In survey statistics, the design-based Horvitz-Thompson estimator is a commonly used method of estimation. However, large amounts of auxiliary data are often available and can augment the survey data. Model-assisted regression estimators use this auxiliary data to fit regression models, which can improve the estimation of population quantities. In this paper we focus on the lasso model, proposed by Tibshirani (1996), and present several lasso-based regression estimators. A logistic lasso regression estimator is used for estimating a population proportion. In order to study the behavior of the lasso under various constraints, we ran simulations which assess the efficiency of the lasso-based estimators compared to other survey estimators. We then applied the estimators to Colorado forestry data.

Page Count

96

Subject Headings

Robert Tibshirani, Regression analysis -- Mathematical models -- Evaluation, Forests and forestry -- United States -- Data processing, Forest surveys -- Statistics, Whitman College 2014 -- Dissertation collection -- Mathematics Department

Permanent URL

http://hdl.handle.net/10349/20141235

Document Type

Whitman Community Accessible Thesis

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