I don’t want to write anymore, I want to move to political videos or something, but I have another theory. For a while now I have been trying to come up with a persuasive argument for why verbal tests should not be used in clinical IQ assessments. Some points were:
Just a note. In general, you can't plot 3 variables in a plane. It works in ternary diagrams because the three components have a constraint of adding to 100 %, which means that there are really only 2 degrees of freedom. But with intelligence you have no such constraint. It is worse with personality factor analysis because ~ 5 factors (+ intelligence) account for most of the variation in human populations, and the factors are not fully orthogonal.
Subcomponent analysis of intelligence is far outside of my domain, but a lot of work has been done over the past century and there are a number of subcomponents that are not orthogonal.
I doubt that a sphere would help, because the surface of a sphere is characterized by a constant radius and there is no reason for the components of intelligence to be constrained to some fixed total norm. Think multi-dimensional amoeba
But you are trying to map components of intelligence, not physical components of the brain, if you treat each component as an independent vector you are going to be in a multidimensional space even if you are only following the principal components.
I don't think you can map the physical connection map (if that thuly exists) to the intelligence component map in abstract space. But this is not my field, I am a physicist / engineer and am far outside my expertise area here.
Just a note. In general, you can't plot 3 variables in a plane. It works in ternary diagrams because the three components have a constraint of adding to 100 %, which means that there are really only 2 degrees of freedom. But with intelligence you have no such constraint. It is worse with personality factor analysis because ~ 5 factors (+ intelligence) account for most of the variation in human populations, and the factors are not fully orthogonal.
Subcomponent analysis of intelligence is far outside of my domain, but a lot of work has been done over the past century and there are a number of subcomponents that are not orthogonal.
I enjoy your writing and theories, they’re entertaining
I doubt that a sphere would help, because the surface of a sphere is characterized by a constant radius and there is no reason for the components of intelligence to be constrained to some fixed total norm. Think multi-dimensional amoeba
But you are trying to map components of intelligence, not physical components of the brain, if you treat each component as an independent vector you are going to be in a multidimensional space even if you are only following the principal components.
I don't think you can map the physical connection map (if that thuly exists) to the intelligence component map in abstract space. But this is not my field, I am a physicist / engineer and am far outside my expertise area here.