Question 3 Van den Bos et al. (2006) analyzed Y = Outcome Satisfaction for 138 participants in an experiment with two factors: Cognitive Busyness (low or high) and Out- come (equal to others, better than others, worse than others). The mean values for Y within each cell are given below. Outcome Equal to others Better than others Worse than others Cognitive Low 6.5 (a) 3.0 (c) 1.6(d) Busyness High 6.3 (a) 4.0 (b) 2.0 (d) (a) Construct a profile plot that will allow you to inspect the apparent effects in the data. (b) The authors cite the following test statistics from the two-way ANOVA: Main effect for Outcome: F(2,132) = 236.56, p < 0.001 Main effect for Busyness: F(1,132) = 4.36, p < 0.04 Interaction: F(2,132) = 3.38, p < 0.04 Use this information, together with your profile plot, to write a short para- graph explaining the effects of these factors on Outcome Satisfaction. (c) The authors carried out "the least significant difference test for means (p < .05) with the six cells of our design serving as the independent variable." How many independent samples t tests are implied by this statement? (d) In the table above, cell means with the same letter in parentheses were not significantly different using the method described in part (c). The authors state "there were no effects of Cognitive Busyness within the equal-to-other and worse-than-other conditions." Is this consistent with your profile plot and the formal test statistics given in part (b)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

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Transcribed Image Text:Question 3 Van den Bos et al. (2006) analyzed Y = Outcome Satisfaction for 138 participants in an experiment with two factors: Cognitive Busyness (low or high) and Out- come (equal to others, better than others, worse than others). The mean values for Y within each cell are given below. Outcome Equal to others Better than others Worse than others Cognitive Low 6.5 (a) 3.0 (c) 1.6(d) Busyness High 6.3 (a) 4.0 (b) 2.0 (d) (a) Construct a profile plot that will allow you to inspect the apparent effects in the data. (b) The authors cite the following test statistics from the two-way ANOVA: Main effect for Outcome: F(2,132) = 236.56, p < 0.001 Main effect for Busyness: F(1,132) = 4.36, p < 0.04 Interaction: F(2,132) = 3.38, p < 0.04 Use this information, together with your profile plot, to write a short para- graph explaining the effects of these factors on Outcome Satisfaction. (c) The authors carried out "the least significant difference test for means (p < .05) with the six cells of our design serving as the independent variable." How many independent samples t tests are implied by this statement? (d) In the table above, cell means with the same letter in parentheses were not significantly different using the method described in part (c). The authors state "there were no effects of Cognitive Busyness within the equal-to-other and worse-than-other conditions." Is this consistent with your profile plot and the formal test statistics given in part (b)?

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