Differences between factors and the variables they are derived from
Monique said:
what's the difference between a "individual heritable population trait" and a "distinct general factor of individual heritable population trait"?
("Trait
s," Monique.) Factors and the variables they are derived from are not the same things. Factors are derived from variables.
- Factor. The word "factor" has a number of dictionary definitions, but the term as used here has a very restricted, specialized meaning. A factor is a hypothetical variable that "underlies" an observed or measured variable. Thus a factor is also referred to as a latent variable. It is best thought of initially in terms of the mathematical operations by which we identify and measure it.
Although a factor is identifiable and quantifiable, it is not directly observable. It is not a tangible "thing" or an observable event. So we have to be especially careful in talking about factors, lest someone think we believe that we are talking about "things" rather than hypothetical and mathematical constructs. But one can say the very same thing about the many constructs used in the physical sciences (gravitation, magnetism, heat, valence, and potential energy, to name a few). They are all constructs . This does not imply, however, that scientists cannot inquire about the relationship of a clearly defined construct to other phenomena or try to fathom its causal nature...
Factors arise only from the reliable or nonchance correlation between [variables]... ...it should be possible in theory to devise ... tests in which the [variables] did not correlate more than could be expected by pure chance. Such a test could not be analyzed into factors. Its total variance would consist only of the sum of the separate item variances plus a little random error variance due to the small chance correlations among items.
(Arthur Jensen.
The g Factor. pp55-56.)
Thus, factors of traits exist in races because heritable pheonotypic traits covary
within two or more given populations, and avoid covariance
between two or more given populations, more than could be expected to occur by chance. In other words, races are distinguishable when general differences in terms of heritable traits between given populations, and general similarities in terms of heritable traits within the same given populations, occur reliably.
Monique said:
what you are saying is that classifying races on skin color is not valid, since that is not a general factor of heritable trait?
("Trait
s," Monique.) Racial classification based on skin color, or any given individual trait, is not internally consistent. Racial classification based on membership possession of individual traits is nonsensical since members of any given population have the potential to share any given trait or characteristic degree of trait variance with members of any other given population.
Monique said:
Why can't a marker be a 'general factor of heritable trait'?
("Trait
s," Monique.) There could not be any such thing as a 'general factor of heritable trait', singular. And do you mean 'trait' when you say 'marker'? If expression of multiple heritable traits are factor analyzed to expose their common variance, then, by definition, no single trait can load completely on any factor.
- Factors arise only from the reliable or nonchance correlation between [variables].
(Arthur Jensen.
The g Factor. p56.)
Monique said:
what is it that makes the Norwegians and the Irish distinguishable by a 'general factor of heritable trait'?
("Trait
s," Monique.) The Norwegian and Irish populations are distinguishable by a 'general factor of heritable traits' when, in terms of general factors of heritable traits, individual members of those populations are more like their fellow population members than they are like the non-members of their respective populations. From the perspective of a statistical worldview, there is no threshold level of this disparity between in-group and out-group general heritable trait alikeness that can consistently rule out the classifiability of two or more populations into races. From the perspective of a statistical worldview, as long as any general difference in heritable traits exists between any two or more given populations, those populations are reliably classifiable into races.