The Interquartile Range: Theory and Estimation.

<p>The interquartile range (IQR) is used to describe the spread of a distribution. In an introductory statistics course, the IQR might be introduced as simply the “range within which the middle half of the data points lie.” In other words, it is the distance between the two quartiles, <b><em>IQR</em> = <em>Q</em>₃ - <em>Q</em>₁</b>. We will compute the population IQR, the expected value, and the variance of the sample IQR for various continuous distributions. In addition, a bootstrap confidence interval for the population IQR will be evaluated.</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2005

Author dc:creator

• Whaley, Dewey Lonzo

• interquartile range
• probability distribution
• order statistics
• bootstrapping
• Applied Mathematics
• Numerical Analysis and Computation
• Physical Sciences and Mathematics
• Statistics and Probability

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/1030

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-2187