15 MULTIPLE CORRELATION ANALYSIS, MATRIX PLOT

15 MULTIPLE CORRELATION ANALYSIS, MATRIX PLOT
In the 15th Minitab tutorial, we are on the high-speed test track of Smartboard Company. On this outdoor test track, which stretches downhill over several kilometers, the skateboards developed for speed records are tested. The maximum speed achieved on the test track is recorded using light barriers along the track. Ten skateboard pilots with different riding qualities are available as test riders representing the different riding behavior of the entire customers. In order to reduce the very high personnel costs for the ten test pilots in the future, we will accompany the team in this Minitab training session as they use a multiple correlation analysis to work out which of the ten test pilots have identical speed profiles. The key objective in this training session will be, to identify possible strong correlations between quantitative factors using pairwise correlation analysis. We will get to know the useful correlation matrix, which is often simply referred to as matrix plot, in day-to-day business. And we will see, how we can use the matrix plot to obtain an efficient qualitative overview of the potential correlation trends between the test pilots. Building on this, we will move on to the actual Pearson correlation analysis, in order to substantiate our findings from the correlation matrix. Finally, we will use the corresponding significance values from the „Pearson pairwise correlation“ hypothesis test, to assess the statistical significance of the correlations again with a 95% confidence level.

MAIN TOPICS MINITAB TUTORIAL 15

• Multiple correlation analysis according to Pearson
• Interpreting the correlation matrix
• Interpreting the table of „pairwise correlations“
• Set up the corresponding hypothesis tests
• Pairwise correlation analysis according to Pearson