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4.7  Identifying relationships  89




                  •  computer experience and task time under the standard word-processing software
                     condition;
                  •  computer experience and task time under the prediction software condition; and
                  •  task times under the standard word-processing software condition and those
                     under the prediction software condition.
                     Table 4.21 illustrates the correlation matrix between the three variables gener-
                  ated by SPSS. The three variables are listed in the top row and the left column in
                  the same order. The correlation between the same variable is always 1, as indicated
                  by the three r values on the diagonal line of the table. The correlation between
                  computer experience and the time using the standard software is significant, with r
                  value equal to −0.723. The negative r value suggests that as computer experience
                  increases, the time spent on completing the task using the standard software de-
                  creases. The correlation between computer experience and time spent using predic-
                  tion software is not significant (r = −0.468). The correlation between the completion
                  times using the standard software and using the prediction software is not signifi-
                  cant either (r = 0.325).

                   Table 4.21  Results of the Correlation Tests
                                                           Time          Time
                                              Experience   Keyboard      Prediction
                   Experience   Pearson       1            −0.723 a      −0.468
                                correlation
                                Significance               0.043         0.243
                                N             8            8             8
                   Time keyboard  Pearson     −0.723 a      1            0.325
                                correlation
                                Significance  0.043                      0.432
                                N             8            8             8
                   Time prediction  Pearson   −0.468       0.325         1
                                correlation
                                Significance  0.243        0.432
                                N             8            8             8
                   a  Correlation is significant at the 0.05 level (two-tailed).


                                           2
                     In practice, the Pearson's r  is reported more often than the Pearson's r. The
                   2
                  r  represents the proportion of the variance shared by the two variables. In other
                                                              2
                  words, suppose we have two variables X and Y, the r  represents the percentage
                  of variance in variable X that can be explained by variable Y. It also represents
                  the percentage of variance in variable Y that can be explained by variable X. For
                                     2
                  many researchers, the r  is a more direct measure of the degree of correlation than
                  the Pearson's r.
                     The most important thing to keep in mind about correlation is that it does not
                  imply a causal relationship.  That is, the fact that two variables are significantly
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