Preacher & Hayes (2004) Bootstrap Method
The bootstrapping method provides some advantages to the Sobel’s test, primarily an increase in power. The Preacher and Hayes Bootstrapping method is a non-parametric test (See Non-parametric statistics for a discussion on why non parametric tests have more power). As such, the bootstrap method does not violate assumptions of normality and is therefore recommended for small sample sizes. Bootstrapping involves repeatedly randomly sampling observations with replacement from the data set to compute the desired statistic in each resample. Over hundreds, or thousands, of bootstrap resamples provide an approximation of the sampling distribution of the statistic of interest. Hayes offers a macro
Read more about this topic: Mediation (statistics)
Famous quotes containing the words preacher, hayes and/or method:
“He believes without reservation that Kentucky is the garden spot of the world, and is ready to dispute with anyone who questions his claim. In his enthusiasm for his State he compares with the Methodist preacher whom Timothy Flint heard tell a congregation that “Heaven is a Kentucky of a place.””
—For the State of Kentucky, U.S. public relief program (1935-1943)
“Is this not true—That in proportion to the value of their estates the extremely wealthy pay far less taxes than those of moderate means? Compare the amount paid by millionaires with the amount paid by ordinary citizens. I believe that in proportion to their estates they pay less than half as much as ordinary citizens, whereas they ought to pay more.”
—Rutherford Birchard Hayes (1822–1893)
“Protestantism has the method of Jesus with His secret too much left out of mind; Catholicism has His secret with His method too much left out of mind; neither has His unerring balance, His intuition, His sweet reasonableness. But both have hold of a great truth, and get from it a great power.”
—Matthew Arnold (1822–1888)