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4.4  T tests   79




                     If you use SPSS to run a paired-samples t test, the two data points contributed
                  by the same participant should be listed parallel to each other in the same row. In
                  Table 4.5, the two numeric values in each row were contributed by the same partici-
                  pant. When using SPSS to run the test, only the second and third columns need to
                  be entered.
                   Table 4.5  Sample Data for Paired-Samples t Test

                   Participants               No Prediction         With Prediction
                   Participant 1                  245                    246
                   Participant 2                  236                    213
                   Participant 3                  321                    265
                   Participant 4                  212                    189
                   Participant 5                  267                    201
                   Participant 6                  334                    197
                   Participant 7                  287                    289
                   Participant 8                  259                    224


                  4.4.3   INTERPRETATION OF T TEST RESULTS
                  The t tests return a value, t, with larger t values suggesting higher probability of the
                  null hypothesis being false. In other words, the higher the t value, the more likely the
                  two means are different. As stated in Chapter 2, we normally use a 95% confidence
                  interval in significance tests. So any t value that is higher than the corresponding t
                  value at the 95% confidence interval suggests that there is a significant difference be-
                  tween participants (e.g., between users who use word-prediction software and those
                  who do not).
                     SPSS generates a summary table for the results, containing both the t test re-
                  sults  and additional  test  results that  examine  the  data distribution.  If  we run  an
                    independent-samples t test using the data set provided in Table 4.4, the returned t
                  value is 2.169, which is higher than the t value for the specific degree of freedom
                                                          2
                  (df = 15) at the 95% confidence interval (t = 2.131).  In statistical terms, the result can
                  be reported as:
                     An independent-samples t test suggests that there is significant difference in the
                     task completion time between the group who used the standard word-processing
                     software and the group who used word-processing software with word prediction
                     functions (t(15) = 2.169, p < 0.05).
                     Note that the t value needs to be reported together with the degree of free-
                  dom and the level of significance. Presenting the degree of freedom helps read-
                  ers evaluate whether the data analysis is done correctly and interpret the results
                  appropriately.

                  2  The t value can be found in a summary table of t, which is available in many statistics books.
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