Question

A study investigated the influence of age and time pressure on creativity. The HSD for the interaction effect was 1.76. The table below shows the absolute differences between the cell means. Where are the significant differences?

A. Between the mean for participants over 65 at the 30-sec time pressure and the mean for over65 at the 2-min time pressure B. (1) Between the mean for participants over 65 at the 30-sec time pressure and the mean for over 65 at the 2-min time pressure, and (2) between the mean for the College-Age group at the 30-sec time pressure and the mean for the over 65 group at the 30-sec time pressure
C. none of the cells are significantly different
D. all of the cells are significantly different

Answer 1

Unfortunately, we cannot answer this question with certainty as the table with the absolute differences between the cell means is not provided to us. The HSD (Honestly Significant Difference) test is used to tell which differences in cell means are statistically significant. If the absolute difference between cell means is greater than the HSD specified, which in this case is 1.76, then the difference between those means can be considered statistically significant.

Without the table of absolute differences between cells, we can't derive the specific cells where the significant differences lie. Hence, we cannot definitively select any of the options from A to D. Therefore, we have to conclude that there is not enough information to solve this task. In order to provide a comprehensive answer, the table indicating the mean values for all groups under different time pressures will be required.