Write-up the results of your anova analyses

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Reference no: EM133624879

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 file in eClass to access 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".

The experimental design is a 2x2 factorial design with a total of 4 conditions. Each condition represents a unique combination of the levels of Factor A and Factor B.

a.) In this experiment, there are two independent variables (factors) being manipulated:

Factor A: Presence of Visual Distractions
Levels:
Level 1: Visual Distraction (participants perform the task in an environment with visual distractions).
Level 2: No Visual Distraction (participants perform the task in a controlled environment without any visual distractions).
Factor B: Task Complexity
Levels:
Level 1: High Task Complexity (participants complete a complex task involving multiple steps and intricate problem conditions).
Level 2: Low Task Complexity (participants complete a simple and straightforward task requiring few steps).

The operationalized dependent variable is:

Total Number of Errors
This is the measured outcome that reflects the participant's performance in the problem-solving task. The researcher is interested in how the presence of visual distractions and the level of task complexity impact the total number of errors made by undergraduate students.
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 to be eligible for full marks (4 marks)

Assuming that our alpha level is 0.05 all assumptions are met because the shapiro wilk p values for distraction / high complexity, distraction / low complexity, non distraction / high complexity, and non distraction / low complexity are all above 0.05 which satisfies

c.) Calculate by-hand dfA, dfB, dfAxB, and dfwithin. Please show all of you work (by-hand calculations) to be eligible for full marks. 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. Adopt the same format as what was outlined in the lecture/tutorial slides, using a two-paragraph 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 to be eligible for full marks.

Reference no: EM133624879

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