Trust: Studies in Definition
Prelude: "Would you say that most of the time people try to be helpful, or that they are mostly just looking out for themselves?"
- A double-barrel question.
- These equate (or try to test how equatable) two different question forms are.
- Questions don't directly measure factors of concern, they correlate with them.
- Enough of them correlating, and you can decide that "here is a Thing".
- BUT: What form does that correlation take?
Example: g factor
- g is the observation that there exists a broad variance across "cognitive ability".
- Other more specific factors correlate more closely with other tasks.
- Narrower tasks can be observed, and generate the actual data we look at.
One possible structure of conditional dependence that fits the correlations
digraph name { "working memory"[style=filled,color=lightblue]; "spatial intelligence"[style=filled,color=lightblue]; "EQ"[style=filled,color=lightblue]; "g"[style=filled,color=lightblue1]; g -> "working memory" -> "ability to repeat back large numbers"[label="R>0"]; g -> "spatial intelligence"[label="R>0"]; "spatial intelligence" -> "ability to solve map problems"[label="R>0"]; g -> "EQ"[label="R>0"]; "EQ" -> "ability to recognize emotions on faces"[label="R>0"]; }
Another possible structure
digraph name { "working memory"[style=filled,color=lightblue]; "Sahiti's visual factor"[style=filled,color=lightblue]; "working memory" -> "ability to repeat back large numbers"[label="R>0"]; "working memory" -> "ability to solve map problems"[color=red,label="R<0"]; "Sahiti's visual factor" -> "ability to solve map problems"[label="R>0"]; "Sahiti's visual factor" -> "ability to recognize emotions on faces"[label="R>0"]; }
Factor analysis gives us too few answers in one iteration.
So the iterative process of science is to
- look at the data
- posit two models
- or five
- construct a test which differentiates your models
- find or collect data which fits the parameters of the test
- rinse and repeat.
Key insight: All definitions and internal workings of a model are contingent on the model.
- Eg. "Working memory" is only as useful as the model it is defined within. If a better fit comes along, toss it out and redefine everything.
Yamagishi's work is an exercise in redefinition.
- recap: "Would you say that most of the time people try to be helpful, or that they are mostly just looking out for themselves?"
- Are the above two question forms likely to be measuring the same thing?
- Will they be anticorrelated when asked separately?
- Will the answer to this question correlate with the questions asked separately?
- What else would you ask in the same questionnaire to correlate this with?
Ontology is an interesting problem with iterated factor analysis in anthropometry
- ontology