Distraction NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Task Complexity Errors on Problem Solving Task High Complexity 10 High Complexity 9 High Complexity 8 High Complexity 11 High Complexity 6 High Complexity 13 High Complexity 9 High Complexity 10 High Complexity 8 High Complexity 10 High Complexity 7 High Complexity 4 Low Complexity 8 Low Complexity 4 Low Complexity 9 Low Complexity 2 Low Complexity 7 Low Complexity 12 Low Complexity 6 Low Complexity 11 Low Complexity 4 Low Complexity 9 Low Complexity 10 Low Complexity 8 High Complexity 12 High Complexity 13 High Complexity 11 High Complexity 14 High Complexity 17 High Complexity 15 High Complexity 12 High Complexity 10 High Complexity 14 High Complexity 15 High Complexity 13 High Complexity 14 Low Complexity 7 Low Complexity 4 Low Complexity 9 Low Complexity 6 Low Complexity 8 Low Complexity 5 Low Complexity 10 Low Complexity 8 Low Complexity 4 Low Complexity 3 Low Complexity 8 Low Complexity 7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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2. A researcher is interested in whether the presence of visual
distractions (no distraction vs. distraction) and the level of task
complexity (low vs. high) impact the number of errors made by
undergraduate students during a problem-solving task. The
presence of visual distractions was manipulated by having
participants perform the problem-solving task in an environment
with visual distractions, such as moving objects and distracting
images or in a controlled environment without any visual
distractions. The presence of task complexity was manipulated
by having participants complete a complex task involving
multiple steps and intricate problem conditions (high task
complexity) or a simple and straightforward task requiring few
steps (low task complexity). Forty-eight participants were
randomly assigned to one of four groups: visual distraction +
high task complexity, visual distraction + low task complexity,
no visual distraction + high task complexity, or no visual
distraction + low task complexity. The total number of errors
made by each participant during the problem-solving task was
measured. Assume an alpha level of .05.
See Distraction_TaskComplexity.csv
the data for this question.
a.) What are the factors, levels of the factors, and the
operationalized dependent variable? Recall, operationalization
involves explaining precisely how a concept will be measured.
Students may select which factor they would like to designate
"Factor A" vs. "Factor B".
b.) Using jamovi, test the assumptions for a two-factor ANOVA.
Are the assumptions met based on this evidence? Please explain
what evidence led you to these conclusions. You must also
include a screenshot of the output/plots for these analyses as part
of your answer
c.) Calculate by-hand dfA, dfB, df AXB, and df within. Please show
all of you work (by-hand calculations)
Please refer to your Question 2a.) response to confirm
which factor you designated to be "Factor A" vs "Factor B" to
aid in your degrees of freedom calculations.
d.) Write-up the results of your ANOVA analyses in APA
format.
You must
also include a screenshot of the relevant jamovi output,
estimated marginal means table, and a line graph for these
analyses as part of your answer
Transcribed Image Text:2. A researcher is interested in whether the presence of visual distractions (no distraction vs. distraction) and the level of task complexity (low vs. high) impact the number of errors made by undergraduate students during a problem-solving task. The presence of visual distractions was manipulated by having participants perform the problem-solving task in an environment with visual distractions, such as moving objects and distracting images or in a controlled environment without any visual distractions. The presence of task complexity was manipulated by having participants complete a complex task involving multiple steps and intricate problem conditions (high task complexity) or a simple and straightforward task requiring few steps (low task complexity). Forty-eight participants were randomly assigned to one of four groups: visual distraction + high task complexity, visual distraction + low task complexity, no visual distraction + high task complexity, or no visual distraction + low task complexity. The total number of errors made by each participant during the problem-solving task was measured. Assume an alpha level of .05. See Distraction_TaskComplexity.csv the data for this question. a.) What are the factors, levels of the factors, and the operationalized dependent variable? Recall, operationalization involves explaining precisely how a concept will be measured. Students may select which factor they would like to designate "Factor A" vs. "Factor B". b.) Using jamovi, test the assumptions for a two-factor ANOVA. Are the assumptions met based on this evidence? Please explain what evidence led you to these conclusions. You must also include a screenshot of the output/plots for these analyses as part of your answer c.) Calculate by-hand dfA, dfB, df AXB, and df within. Please show all of you work (by-hand calculations) Please refer to your Question 2a.) response to confirm which factor you designated to be "Factor A" vs "Factor B" to aid in your degrees of freedom calculations. d.) Write-up the results of your ANOVA analyses in APA format. You must also include a screenshot of the relevant jamovi output, estimated marginal means table, and a line graph for these analyses as part of your answer
Distraction Task Complexity Errors on Problem Solving Task
High Complexity 10
High Complexity 9
High Complexity 8
High Complexity 11
High Complexity 6
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High Complexity 13
High Complexity 9
High Complexity 10
High Complexity 8
High Complexity 10
High Complexity 7
High Complexity 4
Low Complexity 8
Low Complexity 4
Low Complexity 9
Low Complexity 2
Low Complexity 7
Low Complexity 12
Low Complexity 6
Low Complexity 11
Low Complexity 4
Low Complexity 9
Low Complexity 10
Low Complexity 8
High Complexity 12
High Complexity 13
High Complexity 11
High Complexity 14
High Complexity 17
High Complexity 15
High Complexity 12
High Complexity 10
High Complexity 14
High Complexity 15
High Complexity 13
High Complexity 14
Low Complexity 7
Low Complexity 4
Low Complexity 9
Low Complexity 6
Low Complexity 8
Low Complexity 5
Low Complexity 10
Low Complexity 8
Low Complexity 4
Low Complexity 3
Low Complexity 8
Low Complexity 7
Transcribed Image Text:Distraction Task Complexity Errors on Problem Solving Task High Complexity 10 High Complexity 9 High Complexity 8 High Complexity 11 High Complexity 6 NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr NoDistr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr Distr High Complexity 13 High Complexity 9 High Complexity 10 High Complexity 8 High Complexity 10 High Complexity 7 High Complexity 4 Low Complexity 8 Low Complexity 4 Low Complexity 9 Low Complexity 2 Low Complexity 7 Low Complexity 12 Low Complexity 6 Low Complexity 11 Low Complexity 4 Low Complexity 9 Low Complexity 10 Low Complexity 8 High Complexity 12 High Complexity 13 High Complexity 11 High Complexity 14 High Complexity 17 High Complexity 15 High Complexity 12 High Complexity 10 High Complexity 14 High Complexity 15 High Complexity 13 High Complexity 14 Low Complexity 7 Low Complexity 4 Low Complexity 9 Low Complexity 6 Low Complexity 8 Low Complexity 5 Low Complexity 10 Low Complexity 8 Low Complexity 4 Low Complexity 3 Low Complexity 8 Low Complexity 7
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