13.7 - Reinforcing the Results

13.7 - Reinforcing the Results

These results are further reinforced by looking at the correlations between each set of variables and the opposite group of canonical variates.

  1. The correlations between the sales variables and the first canonical variate for test scores are found on page 4 of the SAS output:

    Correlations Between the Sales Variables and the Canonical Variables of the Test Scores

      scores1 scores2 scores3
    growth 0.9745 0.0006 -0.0766
    profit 0.9412 0.2835 0.0029
    new 0.9466 -0.1636 0.0934

    We can see that all three of these correlations are strong and show a pattern similar to that with the canonical variate for sales. The reason for this is obvious: The first canonical correlation is very high.

  2. The correlations between the test scores and the first canonical variate for sales are also in the SAS output:

    Correlations Between the Test Scores and the Canonical Variables of the Sales Variables

      sales1 sales2 sales3
    create 0.6348 -0.1894 0.2499
    mech 0.7172 0.2086 -0.0260
    abs 0.6437 -0.4402 -0.2203
    math 0.9389 0.1735 -0.0361
    Note! These also show a pattern similar to that with the canonical variate for test scores. Again, this is because the first canonical correlation is very high.
  3. These results confirm that sales performance is best predicted by mathematics test scores.


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