Normative Analysis and Statistical Treatment/Validity of the Likert Scale
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Transcript of Normative Analysis and Statistical Treatment/Validity of the Likert Scale
NORMATIVE ANALYSIS AND STATISTICAL TREATMENT/VALIDITY OF THE LIKERT SCALE
Peter J Stavroulakis
3RD INTERNATIONAL CONFERENCE ON QUANTITATIVE AND QUALITATIVE METHODOLOGIES IN THE ECONOMIC AND ADMINISTRATIVE SCIENCES
MAY 23-24 2013, TEI OF ATHENS, GREECE
What happens when we are asked to portray our emotions?
A question is posed...
How do you feel about mathematics?
Well...let me think...
There was this time in school, I tried to learn the limit definition and found it too difficult to grasp
This experience formulated my emotions towards math and a subsequent bias...
Math was kind of an alien topic and created a feeling of loathing...
But...
Some years after that there was this one time that mathematics saved me...
Etc... Etc... Etc...
From all our experiences we will perform a sort of internal appraisal...
...in order to extract a response
The mechanics?
The domain of the variable?
Plutchik (1980)
From a continuous variable we extract a sample
Discretization
Classes and class marks
Sampling on a model
Processes
Discretization Sampling theory Analog to digital conversion? Central Limit Theorem?
The Likert scale performs an implicit discretization of emotion
Implicit because it measures intensity
Mathematics inspire admiration
The Likert Scale
Interval? Ordinal?
“The average of ‘fair’ and ‘good’ is not‘fair‐and‐a‐half’; which is true even whenone assigns integers to represent ‘fair’ and ‘good’!”
Jamieson (2004)
But if we perform discretization of the domain under equal intervals does it matter that the average of ‘fair’ and ‘good’ is not‘fair‐and‐a‐half’?
Issues
Need to investigate the matter further from the subjects’ perspective
Extract a model for particular kinds of attitude instruments
Pair model with experimental data
Thank you for your attention!