In order to evaluate the di®erence between the means of Groups a and a0, we take the absolute value of the di®erence between the means and compare it to the value of hsd.

Tukey's HSD is probably the most recommended and used procedure for controlling Type I error rate when making multiple pair wise comparisons. The purpose of this study was to compare observed …

Table A.6 Critical Values of the Studentized Range, for Tukey's HSD. Table produced using the SAS System using function PROBMC('SRANGE'., 1 - 2,df, T).

This standardized range , denoted by Q is our test statistics and has a distribution independent of ˆf2 & the common value of 8 if they all the null hypohesis indeed were true.

Comparison test could compare the two group means using a t-test. When we have more than two groups, it is inappropriate to simply compare each pair using a -test because of the problem of …

The test of whether the NIST Tukey-Kramer confidence interval includes zero is equivalent to evaluating whether Qi, j > Qcritical , the latter determined according to the desired level of significance α (p …

Here we present a very accurate and suficiently fast implementation of the studentized range distribution and a function for performing Tukey’s HSD test. Both of these features are available in SciPy 1.8.0.