Scheffe's test is a parametric multi-comparison procedure which tests the hypotheses that the means of each pair of waves are equal. In this example we consider the following six waves:

1. Basic Scheffe's test.

To run the test execute the command:

StatsScheffeTest/T=1/Q data1,data2,data3,data4,data5,data6

The results are displayed in the Scheffe Test table:

The table indicates that hypotheses μ₆=μ₂, μ₆=μ₄ and μ₄=μ₃ must be rejected while the remaining hypotheses for the equality of the means are accepted.

2. Testing multiple contrasts.

The contrast hypothesis is defined by a contrast wave. For example, if

denotes the mean of the wave data_i then to test the hypothesis

We start by creating the contrast wave:

Make/N=6/O cWave={1,2,1,2,2,1}

Next we execute the test:

StatsScheffeTest/T=1/Q/CONW=cWave data1,data2,data3,data4,data5,data6

The results are displayed in the Scheffe test table (shown here transposed):

As the statistic S exceeds the critical value Salpha we reject the contrast H0.