statsitical modelling (mds) project index statistical modelling (diagnostics)

English or languish - Probing the ramifications
of Hong Kong's language policy

Multidimensional Scaling

Criteria Ordering
proximity measures (rating scales | key terms) | number and interpretation of dimensions (interpretation)

In order to better interpret the multiple dimensions that statsitically result from the ranking of stimulus pairs, respondents are asked to list the criteria that likely influenced their judgment while rating the pairs.

List of Probable Criteria

#1 Population density
#2 Architectural and scenic beauty
#3 Xenophobia
#4 Mass transport
#5 Level of commercialization
#6 Travel advertisements
#7 Historical background
#8 Air Pollution

Respondents are then provided with a blank table similar to the one below and asked to fill the column headings with those attributes which most probably influenced their decision. A rating scale, by which each element of the stimulus set can be ranked, is also provided.

Attribute Table
  Population density Architectural and scenic beauty Xenophobia Level of commercialization Air Pollution
Hong Kong          
Seoul          
Shanghai          
Singapore          
Tokyo          

 0  10  20  30  40  50  60  70 80  90 100
0 = abence or weak presence of attribute   100 = strong presence of attribute


From this exercise a table similar to the following is obtained.

Attribute Table
  Population density Architectural and scenic beauty Xenophobia Level of commercialization Air Pollution
Hong Kong 80 90 80 90 80
Seoul 70 70 90 80  80
Shanghai 80 70  70  90 90
Singapore 80 60 70 80  70
Tokyo 90 70 90 90 60

From these data the basis for a regression analysis is obtained and regressions run on the entire sample population. Only those attributes that are common to a siginficant number of respondents are used, so as to provide a large enough sample size.

Knowing how each element of the stimulus set loads on each attribute can help the research interpret the dimensions and perceptual map generated by the multidimensional scaling procedure.

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