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Testing Likert scale data with chi-square and Fisher's Exact tests.

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Likert scale- based questionnaire & responses for 30 respondents showing the number of respondents for each respond option
Strongly Agree Agree Neutral Disagree Strongly disagree
1)Do you agree that virtualized service providers, generally, render better quality services than non-virtualized providers ? 0 12 13 5 0
2) Do you agree that availability is the most important service warranty item on Service level agreements(SLA's)? (Note: service warranty items include availability, information security, capacity and service continuity). 3 17 7 3 0
3) Do you agree that virtualization of a data centre's servers improves service availability ? 2 20 6 2 0
4) Do you agree that providing IT services in a non-virtualized environment improves service availability ? 0 0 4 20 6
5)When planning to outsource an IT service, server virtualization would be an important guiding factor. 0 20 6 4 0
6)IT users and customers are more likely to outsource from virtualized service providers. 2 15 10 3 0
7)There are other important factors(other than) server virtualization influencing service availability. 10 20 0 0 0
8)Applications also have an important effect on availability. 0 13 16 1 0
9) Maturity of processes such as incident management, availability management, problem management, change management and release & deployment management have an important influence on service availability. 10 20 0 0 0
10) Errors at the user level also affect service availability. 0 13 16 1
11)Network factors also count . Agree ?

12) Storage factors also play a role. Do you agree ? 10

0 20

16 0

13 0

1 0

0

Mode of coding for responses
Strongly agree,5; Agree , 4; neutral, 3; disagree, 2 and strongly disagree, 2
Question:1) Run the chi-squared test to determine if responses between agree categories and disagree categories(2 categories), for each Likert item, occurred by chance. Show and interpret results of the chi-squared test.
Coded responses for 'agree' and 'strongly agree' were combined as one category. 'Strongly disagree and disagree' responses were also combined to form one category. These 2 categories are of interest. There are 12 Likert items.
2. Would Fisher's Exact test be more appropriate, and would it have produced a different outcome ? Please show.

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Likert scale- based questionnaire & responses for 30 respondents showing the number of respondents for each respond option
Strongly Agree Agree Neutral Disagree Strongly disagree
1)Do you agree that virtualized service providers, generally, render better quality services than non-virtualized providers ? 0 12 13 5 0
2) Do you agree that availability is the most important service warranty item on Service level agreements(SLA's)? (Note: service warranty items include availability, information security, capacity and service continuity). 3 17 7 3 0
3) Do you agree that virtualization of a data centre's servers improves service availability ? 2 20 6 2 0
4) Do you agree that providing IT services in a non-virtualized environment improves service availability ? 0 0 4 20 6
5)When planning to outsource an IT service, server virtualization would be an important guiding factor. 0 20 6 4 0
6)IT users and customers are more likely to outsource from virtualized service providers. 2 15 10 3 0
7)There are other important factors(other than) server virtualization influencing service availability. 10 20 0 0 0
8)Applications also have an important effect on availability. 0 13 16 1 0
9) Maturity of processes such as incident management, availability management, problem management, change management and release & deployment management have an important influence on service availability. 10 20 0 0 0
10) Errors at the user level also affect service availability. 0 13 16 1
11)Network factors also count . Agree ?

12) Storage factors also play a role. Do you agree ? 10

0 20

16 0

13 0

1 0

0

Mode of coding for responses
Strongly agree,5; Agree , 4; neutral, 3; disagree, 2 and strongly disagree, 2

Question:1) Run the chi-squared test to determine if responses between agree categories and disagree categories(2 categories), for each Likert item, occurred by chance. Show and interpret results of the chi-squared test.
Coded responses for 'agree' and 'strongly agree' were combined as one category. 'Strongly disagree and disagree' responses were also combined to form one category. These 2 categories are of interest. There are 12 Likert items.
Solution:
The below table is coded for agree and disagree:
Agree Disagree
1)Do you agree that virtualized service providers, ...

Solution Summary

This solution is comprised of a detailed explanation oF Chi-Square and Fisher's exact test. This solution mainly discussed 2 questions in which we defined null and alternative hypothesis, calculating the chi-square statistics and p-value and provided the decision about the null hypothesis. Full calculations are shown for chi-square test statistics.

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