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Activity Number: 33 - Recent Advances in Statistical Graphics
Type: Contributed
Date/Time: Sunday, August 7, 2022 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Graphics
Abstract #323671
Title: A Form of Independent Deviations and Their Relationship with the Sample Average and Variance
Author(s): Uditha Amarananda Wijesuriya*
Companies: University of Southern Indiana
Keywords: Deviation; Sample variance ; Sample average; Probability distribution; Svplots

The deviations from the average for independent and identically distributed data are dependent and constitute the sample variance. The sample variance plots, also called Sv-plots, illustrate these deviations and are appealing in hypothesis testing. In this work, a novel form of pairwise independent deviation is introduced for normally distributed data, including their probability distribution. Further, the relationships among these deviations, sample average, and variance are established. Besides these findings, a new expression for sample variance is derived. Finally, the svplots R package is introduced.

Authors who are presenting talks have a * after their name.

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