In an attempt to measure the reaction time of peripheral vision, a researcher sh
ID: 3269203 • Letter: I
Question
In an attempt to measure the reaction time of peripheral vision, a researcher showed a red, green, blue, or yellow circle on a computer screen in which the display was a city street lined with buildings. The circle was positioned on the left (L), center (C), or right (R) of the computer screen. The reaction time was measured in seconds. In this case, the subject received all possible combinations of color and position. Perform the ANOVA and complete the summary table. If there are any statistically significant differences for either independent variable or for the interaction, then perform subsequent tests and draw the appropriate conclusions. You need not test the subject effects. The hypothetical data are provided down below.Explanation / Answer
Two-way ANOVA: Time versus Circle, Colours
Source DF SS MS F P
Circle 2 0.861 0.43056 0.08 0.925
Colors 3 6.375 2.12500 0.39 0.763
Interaction 6 2.583 0.43056 0.08 0.998
Error 60 329.167 5.48611
Total 71 338.986
S = 2.342 R-Sq = 2.90% R-Sq(adj) = 0.00%
Conclusion: From the ANOVA table, the estimated p-value of Circle is 0.925. Hence we can not reject the null hypothesis and conclude that the circles are occured equally at Left, center and right of the screen equivalently at 0.05 level of significance.
From the p-value of Colour factor that is 0.763. We can not reject the null hypothesis and conclude that all the four colors are occurring equivalently on the screen at 0.05 level of significance.
The interaction of the colors and circle does not have any interaction because the p-value is 0.998 and larger than 0.05 level of significance.
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