Mini 13 - Two Way ANOVA

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Feb 20, 2024

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Imagine that the SciFi channel is interested in whether watching SciFi causes people to become geeky and if such effects depend on the viewer being male or female. You have been hired to answer this question. Randomly you assign 12 women and 12 men to either watch 0 hours or 5 hours of the SciFi channel each week for 6 weeks, and then ask all participants to complete your personality inventory designed to detect “geeky” personalities. The data for the experiment follows. Higher scores on the personality inventory indicate a greater amount of “geekiness.” Note: between groups - one participant to one data Please interpret the graph below in terms of main effects and interactions. 1. Main effects: Five hours watched. a. Number of hours watched between both gender shows a significant difference 2. Interaction: effect of hours on level of geekiness depends on gender. Figure: Gender and SciFi The following figure reflects the results of a study by Forys and Dahlquist (2007) investigating the effects of coping style and cognitive strategy on dealing with pain. Participants were first classified as having a monitoring or avoiding coping style. They were then randomly assigned to one of two cognitive strategy conditions: distraction or sensation monitoring. Participants were next instructed to use the cognitive strategy while submerging their hand in ice water. The researchers measured pain tolerance as the number of seconds participants were able to keep their hand in the ice water.

1. Main effect: coping style & cognitive strategy 2. Interpretation: coping style and cognitive strategy Figure: Strategies for Dealing with Pain 5. Based on the figure, what effects appear to be present? A) a main effect of coping style and an interaction between coping style and cognitive strategy B) an interaction between coping style and cognitive strategy C) a main effect of coping style and a main effect of cognitive strategy D) a main effect of coping style, a main effect of cognitive strategy, and an interaction between coping style and cognitive strategy 6. The figure reflects a main effect of coping style. What best describes that main effect? A) People with monitoring and avoiding coping styles were able to keep their hand in the ice water for longer than 60 seconds, on average.

B) People with an avoiding coping style were able to keep their hand in the ice water for longer. C) People with a monitoring coping style were able to keep their hand in the ice water for longer. D) The effect of coping style depended on the cognitive strategy employed. Those with an avoiding coping style kept their hand in the ice water longer when using a distraction strategy, but those with a monitoring coping style kept their hand in the ice water longer when using a sensation-monitoring strategy. 7. The figure reflects a main effect of cognitive strategy. What best describes that main effect? A) People using both distraction and sensation-monitoring cognitive strategies were able to keep their hand in the ice water for longer than 60 seconds, on average. B) People using a sensation-monitoring strategy were able to keep their hand in the ice water for longer. C) People using a distraction strategy were able to keep their hand in the ice water for longer. D) The effect of cognitive strategy depended on the coping style of the participant. Those with an avoiding coping style kept their hand in the ice water longer when using a distraction strategy, but those with a monitoring coping style kept their hand in the ice water longer when using a sensation-monitoring strategy. 8. The figure reflects an interaction between coping style and cognitive strategy. What best describes that interaction?

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A) People using both distraction and sensation-monitoring cognitive strategies were able to keep their hand in the ice water for longer than 60 seconds, on average. B) People using a sensation-monitoring strategy were able to keep their hand in the ice water for longer. C) People using a distraction strategy were able to keep their hand in the ice water for longer. D) The effect of cognitive strategy depended on the coping style of the participant. Those with an avoiding coping style kept their hand in the ice water longer when using a distraction strategy, but those with a monitoring coping style kept their hand in the ice water longer when using a sensation-monitoring strategy.

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