Essentials of Probability Theory for Statisticians by Michael A. Proschan & Pamela A. Shaw

Author:Michael A. Proschan & Pamela A. Shaw
Language: eng
Format: epub
Publisher: Taylor & Francis Group, LLC
Published: 2016-03-14T16:00:00+00:00

where bars denote sample means, T and C denote treatment and control groups, and is the slope estimator. We saw in Exercise 9 of Section 7.3 that . Replace with β1. Then (8.4) is , where . In the treatment arm, the Ui are iid with mean β0 + β2 and variance . By the CLT, is asymptotically normal with mean β0 + β2 and variance . Similarly, in the control arm, the Ui are iid with mean β0 and variance ; is asymptotically normal with mean β0 and variance . Also, because the treatment and control observations are independent, and are independent. Therefore,

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.