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How do you convert a 5 point likert to a 3 point likert and what role does item response theory play here?
Can a 3-point scale also be called a Likert scale?? PS
Which scale is body mass index interval ordinal or ratio scale?
ordinal
What is the Best way to answer the Likert Scale?
The Likert type question is used to determine the respondent attitude or feeling on a particular specific item. There are numerous ways to set up the answer types on the Likert scale; see the related links.
What type of data would the total score in a likert scale be?
That depends upon whom you ask, as there is some degree of controversy around Likert scales. Many people, myself included, would consider it interval data, and it is usually interpreted that way. However, there is another school of thought that says that Likert data is ordinal at best. Both sides of the debate have valid points, and this question hasn't been settled.
As likert scale are ordinal data can I obtain mean and SD from them?
If you are considering a single ordinal variable, determining the mode or median would be meaningful, but the mean or SD would not. Many researchers do consider likert-scale data to possess only ordinal qualities. However, leading research studies, for example in the marketing area, obtain measures such as means and standard deviations from likert-scale data. Indeed leading textbooks also follow this approach. One concern has been that the 'distances' between points on a likert scale are not equal, for example the 'distance' or 'difference' between a strongly disagree and disagree is not the same as the difference between disagree and neutral. A recent study discusses these issues, as well as demonstrating that data obtained from 5-point, 7-point and 10-point likert scales are approximately comparable in terms of mean score (once re-scaled) and various measures of variation and data shape. The study reference is Dawes, John "Do Data Characteristics Change According to the Number of Scale Points Used ? An Experiment using 5-point, 7-point and 10-point Scales" International Journal of Market Research, Vol 50 2008.
