a. Test assumptions for this statistical analysis and state whether each is met or not met. Briefly explain the evidence you used to come to your decision about each assumption (please include screenshots of the relevant part of the jamovi output to support your answers) b. Without completing any calculations (strictly conceptual speaking), in reference to the question 2 research scenario, explain how the researcher would assess the assumption of sphericity by hand (i.e., not using jamovi). More specifically, which steps should the researcher perform, and which calculations should be completed to determine whether or not the assumption of sphericity has been violated.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 8E
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Question
Participant ID 10-min
1
2
3
4
5
10-min 20-min 30-min 40-min
6
86
92
89
83
98
91
76
82
88
72
91
83
84
72
68
81
90
77
60
66
72
78
81
69
Transcribed Image Text:Participant ID 10-min 1 2 3 4 5 10-min 20-min 30-min 40-min 6 86 92 89 83 98 91 76 82 88 72 91 83 84 72 68 81 90 77 60 66 72 78 81 69
2. Prior research has shown that self-perception of driving abilities change with age. Older adults
frequently express concerns about mental fatigue during prolonged driving which may alter their
driving confidence. A researcher is interested in determining whether driving confidence (i.e.,
confidence in driving skills) dissipates during prolonged driving. The researcher brings a random
sample of 6 older adults into the research lab and asks them to complete a driving simulation
task. After each 10-minute interval, the driving simulation is paused, and the older adult
participant completes a short questionnaire (scored out of 100) assessing their self-perceived
confidence in their driving skills at the current time (with 100 being 100% confident in driving
skills - i.e., the participant self-perceptions reflect perfect driving performance). Lower scores
reflect lower self-perceived confidence in driving skills. Driving confidence is measured at four
intervals: 10-minutes into the driving simulation, 20-minutes into the driving simulation,
30-minutes into the driving simulation, and 40-minutes into the driving simulation.
Use the data Driving_Confidence.csv to help the researcher understand how self-perceptions of
driving confidence in older adults varies across the duration of a driving session.
a. Test assumptions for this statistical analysis and state whether each is met or not met. Briefly
explain the evidence you used to come to your decision about each assumption (please include
screenshots of the relevant part of the jamovi output to support your answers)
b. Without completing any calculations (strictly conceptual speaking), in reference to the
question 2 research scenario, explain how the researcher would assess the assumption of
sphericity by hand (i.e., not using jamovi). More specifically, which steps should the researcher
perform, and which calculations should be completed to determine whether or not the
assumption of sphericity has been violated.
Transcribed Image Text:2. Prior research has shown that self-perception of driving abilities change with age. Older adults frequently express concerns about mental fatigue during prolonged driving which may alter their driving confidence. A researcher is interested in determining whether driving confidence (i.e., confidence in driving skills) dissipates during prolonged driving. The researcher brings a random sample of 6 older adults into the research lab and asks them to complete a driving simulation task. After each 10-minute interval, the driving simulation is paused, and the older adult participant completes a short questionnaire (scored out of 100) assessing their self-perceived confidence in their driving skills at the current time (with 100 being 100% confident in driving skills - i.e., the participant self-perceptions reflect perfect driving performance). Lower scores reflect lower self-perceived confidence in driving skills. Driving confidence is measured at four intervals: 10-minutes into the driving simulation, 20-minutes into the driving simulation, 30-minutes into the driving simulation, and 40-minutes into the driving simulation. Use the data Driving_Confidence.csv to help the researcher understand how self-perceptions of driving confidence in older adults varies across the duration of a driving session. a. Test assumptions for this statistical analysis and state whether each is met or not met. Briefly explain the evidence you used to come to your decision about each assumption (please include screenshots of the relevant part of the jamovi output to support your answers) b. Without completing any calculations (strictly conceptual speaking), in reference to the question 2 research scenario, explain how the researcher would assess the assumption of sphericity by hand (i.e., not using jamovi). More specifically, which steps should the researcher perform, and which calculations should be completed to determine whether or not the assumption of sphericity has been violated.
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