factor analysis
John said:
One of the first predictions I can make is that my techniques will not increase s loading.
How is it that you are able to make that prediction, when you have made it clear that you have not yet learned the definition of _g_?
What is your definition of g Mandrake? (Try to do this without using the term intelligence)
We can extract a single factor from any set of measures in which all measures are correlated. It is rare to find this outcome. For example, it does not happen with personality measurements. So, in the context of this discussion it only makes sense to discuss g as the single factor that emerges from a hierarchal factor analysis of a set of IQ measurements. Psychometric g is simply the third order factor. In some special cases, this single factor emerges at the second order. Any attempt to define g independently from factor analysis is inappropriate.
Do you even know the definition of g?
Yes I do. It is apparent that you do not. There are good explanations of g in the following books:
Jensen, A. R. (1998). The g factor: The science of mental ability. Westport, CT: Praeger.
Brand, C. (1996). The _g_ Factor: General Intelligence and Its Implications. Chichester, England: Wiley
Jensen, A.R. (1980). Bias in mental testing. New York: Free Press.
How do you know what is "g loaded" and what isn't?
A factor is g loaded when it correlates with all other measures of cognitive ability. The degree of loading can be determined from the factor analysis.
Tell me one aspect of g that is not trainable?
Please list the "aspects" of g. It is obvious that you need to do some reading. I suggest the three books I listed above. After 100 years, no person has been able to demonstrate that any training causes a permanent and worthwhile increase in g. Your claims to have done so are very difficult to believe, especially since you have not learned the meaning of g.
If g is general intelligence then you have simply pushed its definition down one level to the definition of intelligence.
The only way in which g is "general intelligence" is that it is a resource that is common to all cognitive abilities.
General intelligence is defined as the ability to acquire and apply knowledge,
Please don't confuse a dictionary definition of intelligence with the indisputable meaning of psychometric g. The reason Jensen argued that we should not bother to use the word "intelligence" is that it does not have a scientifically precise definition; that is not the case with g.
My training techniques work on people's memory and concentration thereby making it easier to acquire knowledge.
Great. If you want to tell people you are increasing g, please don't talk to informed people or else be prepared to defend your statement in a rigorous manner. I suggest restricting your claims to people who don't know any better than to believe that g is malleable.
In addition they use books and practice techniques that strengthen one's ability to solve problems, which is synonymous with applying knowledge. Since the techniques increase both the ability to acquire knowledge and the ability to apply knowledge, by the definition of intelligence, they must increase one's intelligence, theoretically. In addition it should not increase s loading, theoretically.
If you want to use a nonscientific approach to science, you are going to be in for a rough ride when you encounter people who understand the science. You seem to confuse education with intelligence. They are not one item.
As to pitch discimination, from the studies I've seen there is only a modest correlation between pitch discimination and g. So pitch discimination is not a strong indicator of high g.
"Spearman was particularly concerned to find that the _g_ loading of pitch discrimination was as high as .673 and would be even higher, if corrected for attenuation. This suggested to him that the _g_ factor reflected something more basic than scholastic attainments ..."
Page 29, The _g_ Factor
Many studies have confirmed Spearman's finding that pitch discrimination is g-loaded, and other musical discriminations, in duration, timbre, rhythmic pattern, pitch interval, and harmony, are correlated with IQ, independently of musical training.
Page 223, The _g_ Factor
During a recent presentation, psychometrician Nat Brody commented that the "passive tone mismatch task correlates at 0.40 to g, even in a restricted range and even when the test subject is reading a book." After the presentation, I discussed this with one of the best known researchers in this area (Tim Bates), who confirmed Nat's comment. When you see differences in r reported in various sources, you must resolve the differences between test procedure and test group. There is always going to be a difference, if the procedures are somewhat different. Unless the researchers are intentionally trying to duplicate a prior procedure, they are likely to change the measurement protocol in an attempt to find something new.
The pitch correlation to g is much higher than typical test item correlations. A typical IQ test consists of a large number of test items, which are typically designed to have additive variances. It is the sum that matters. If that were not the case, we would only need one test item per test.
The passive tone mismatch that Brody mentioned correlates at the same level as brain volume (to g). This is a very significant correlation.
The Bell Curve:
Page 67 -- "A crucial point to keep in mind about correlation coefficients, now and throughout the rest of the book, is that correlations in the social sciences are seldom much higher than .5 (or lower than -.5) and often much weaker -- because social events are imprecisely measured and are usually affected by variables besides the ones that happened to be included in any particular body of data. A correlation of .2 can nevertheless be "big" for many social science topics. In terms of social phenomena, modest correlations can produce large aggregate effects. Witness the prosperity of casinos despite the statistically modest edge they hold over their customers."