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:
“Now folks, I hereby declare the first church of Tombstone, which ain’t got no name yet or no preacher either, officially dedicated. Now I don’t pretend to be no preacher, but I’ve read the Good Book from cover to cover and back again, and I nary found one word agin dancin’. So we’ll commence by havin’ a dad blasted good dance.”
—Samuel G. Engel (1904–1984)
“[Gen. William S.] “Rosecrans [at Chicamauga] has been badly beaten!”... How these blows strike my heart!... I suffer from these blows more than I did from the loss of my sweet little boy. But I suffer less now than I did from Bull Run, or even Fredericksburg.”
—Rutherford Birchard Hayes (1822–1893)
“Letters are above all useful as a means of expressing the ideal self; and no other method of communication is quite so good for this purpose.... In letters we can reform without practice, beg without humiliation, snip and shape embarrassing experiences to the measure of our own desires....”
—Elizabeth Hardwick (b. 1916)