By Garmt B. Dijksterhuis
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Extra info for Multivariate Data Analysis in Sensory and Consumer Science (Publications in Food Science and Nutrition)
It is commonly assumed, but often not justified, that the assessors use categories as numerical (ratio) data. This would mean that, say, a sweetness judgement of 4 means that the stimulus was perceived twice as sweet as one with the judgement 2 . An ordinal relationship between the categories of a category-scale would perhaps be closer to the truth. A score of 4 is more than a score of 3, which is more than a score of 2, etc. It is unspecified exactly how much more it is. Another possibility would be that 4 could well be meant to be less than 2 , and 3 in between.
These are often presented as confirmatory methods in the sense that apriori hypotheses (effects) are tested by means of designed experiments and subsequent analyses. However, in particular MANOVA methods can grow very complex, and as a result are liable to become exploratory rather than confirmatory methods, which is not necessarily a bad thing. Since most MVA methods are not purely exploratory or confirmatory, it is preferable to think in terms of an exploratory mode of analysis versus a confirmatory mode of analysis.
The individual assessor’s set is transformed by Generalised Procrustes Analysis (or Generalised Canonical Analysis) to maximise the agreement between the assessors. 2 and Figure 7) since the third-way does not match. Data with variables grouped into sets like this is called more sets data, or K-sets data. 6 Measurement Levels Line-scales are perhaps the most common measuring instrument in sensory profiling. The scores obtained with such scales are numerical and may range from 0 to 100, but the range is unimportant.
Multivariate Data Analysis in Sensory and Consumer Science (Publications in Food Science and Nutrition) by Garmt B. Dijksterhuis