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Abstract:
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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.
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