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Bootstrap power of the generalized correlation coefficient
Authors:Reza Modarres
Institution:(1) Department of Statistics/Statistical Computing, The George Washington University, 20052 Washington, DC, USA
Abstract:We present a bootstrap Monte Carlo algorithm for computing the power function of the generalized correlation coefficient. The proposed method makes no assumptions about the form of the underlying probability distribution and may be used with observed data to approximate the power function and pilot data for sample size determination. In particular, the bootstrap power functions of the Pearson product moment correlation and the Spearman rank correlation are examined. Monte Carlo experiments indicate that the proposed algorithm is reliable and compares well with the asymptotic values. An example which demonstrates how this method can be used for sample size determination and power calculations is provided.
Keywords:Bootstrap  correlation  power  sample size
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