Random versus balanced design for selecting participants in the 2nd stage of sampling has an advantage of yielding an unbiased estimate of the odds ratio (OR). However, in practice, would this really be an advantage over the balanced design? Please provide an explanation.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Random versus balanced design for selecting participants in the 2nd stage of sampling has an advantage of yielding an unbiased estimate of the odds ratio (OR). However, in practice, would this really be an advantage over the balanced design? Please provide an explanation.
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