Question

In: Math

which statistical analysis to use for a survey of 5 questions with four choices each strongly...

which statistical analysis to use for a survey of 5 questions with four choices each strongly positive, positive, neutral and negative

Solutions

Expert Solution

This type of Survey is a Likert Scale. The most commonly used measures to evaluate such data are as follows:

MEASURE LIKERT SCALE
Central tendency Mean
Variability Standard Deviation
Associations Pearson's R
Other Statistics ANOVE, t-test, regression

Essentially, there is a long standing dispute on the two valid ways of interpreting Likert Scale data. Parametric test such as 2-sample t -test assume a normal continuous distribution. Non-parametric tests, such as the Mann-Whitney test, do not assume a normal or a continuous distribution. However, there are concerns about a lower ability to detect a difference when one truly exists.

Over the year researchers have argued that median should be used as a measure of central tendency . Similarly it has been contended that frequencies, contingency table, chi square test, Spearman Rho assessment or Mann-Whitney test should be used instead of parametric test which require interval data.

In my personal opinion, since you have a very less sample size, any non parametric test as mentioned above, as well an expert qualitative review from your experience would be sufficient. For further analysis, I would require the purpose of the study of questionnaire. Usually it is preferable one designs the test before designing the questionnaire to facilitate the data collection process.


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