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58     CHAPTER 3  Experimental design





                           FACTORIAL DESIGN IN HCI RESEARCH
                           Factorial design has been commonly adopted in user studies in the HCI field.
                           For example, Warr et al. (2016) used a 3 × 3 factorial design to investigate the
                           differences between three window switching methods in a desktop environment.
                             The between-group factor of the study was the window switching method:
                           the Cards interface, the Exposé interface, and the Mosaic interface. Three
                           groups of participants took part in the study, each completing tasks under one of
                           the assigned window switching conditions. The within-group factor of the study
                           was the number of open windows on the screen (3, 6, and 9). Under a specific
                           window switching condition, each participant completed the same number of
                           trials with 3 open windows, 6 open windows, and 9 open windows, respectively.
                             Learning and fatigue might occur during the experiment. In order to address
                           these two factors, participants were given time to practice selecting windows
                           until they were comfortable with the procedure. The order of the 3, 6, and 9
                           window conditions was counterbalanced through a Latin Square Design.



                         3.4.3   INTERACTION EFFECTS

                         One advantage of a factorial design is that it allows us to study the interaction effects
                         between two or more independent variables. According to Cozby (1997), an interac-
                         tion effect can be described as “the differing effect of one independent variable on
                         the dependent variable, depending on the particular level of another independent
                         variable.” When a significant interaction exists between independent variables X and
                         Y, the means of the dependent variable Z would be determined jointly by X and Y.
                            Let us explain interaction effect through an example. Suppose we are conducting
                         an experiment that investigates how types of device (mouse and touchscreen) and
                         experience impact the effectiveness of target selection tasks. Two types of user are
                         studied: novice users and experienced users. Based on the data collected, we draw a
                         diagram as shown in Figure 3.6. As you can see, novice users can select targets faster
                         with a touchscreen than with a mouse. Experienced users can select targets faster
                         with a mouse than with a touchscreen. The target selection speeds for both the mouse
                         and the touchscreen increase as the user gains more experience with the device.
                         However, the increase in speed is much larger for the mouse than for the touchscreen.
                            It is critical to study interaction effects in HCI studies since performance may be
                         affected by multiple factors jointly. There are numerous studies that did not identify
                         any significant effect in individual independent variables but found significant results
                         in interaction effects.
                            Interaction effects may have important implications for design. For example, the
                         interaction effect in Figure 3.6 would suggest that the touchscreen performs better
                         than the mouse during the initial interaction. But users can make greater progress in
                         learning the mouse than the touchscreen and eventually achieve higher efficiency
                         with the mouse. This result may imply that a touchscreen is a more appropriate input
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