The title of each graph of the statistical study indicates the parents variables (R or M & F) to which the correlations are related. These correlations are represented by each point of the coloured lines corresponding to each examined C variable (children).
Likewise, the variables of unknown order, formed by the different groups of 1 to 10 values from the 70 IQ values of each parent and children variables are placed on the left hand side of the graph. The groups of 1 to 10 values located on the right hand side have been previously ordered with the variable mentioned at the bottom of the graph.
Indeed, an almost instantaneous perception of the exactitude of the particular specification of the statistical study is obtained; sixty coefficients of determination (r²) are shown in a way that highlights the global and underlying relations of the involved quantitative data set.
QUANTITATIVE STUDY COMMENTS
1. General statistical significance
The great increase of the correlation for the estimation of homogenous groups cannot be imputed to the reduction of 68 to 5 or 4 degrees of freedom, since the estimation with non-homogenous groups, without previous rearrangement, has the same degrees of freedom and the correlation even lowers with respect to the sample without grouping.
When the model of the quantitative study has more freedom with the two intelligence quotients' variables, M and F, either it definitely adjusts better by statistical effect or the statistical data set we have available is a particular case.
In general, the model of genetic evolution of intelligence (Mendelian genetics – Conditional intelligence – Gobal Cognitive Theory) adjusts perfectly, showing an r² superior to 0.9 in several cases. Bearing in mind the tendency to increase the goodness of fit with the size of rearranged groups, we could asume it would be over 0,9 in almost all the cases for groups bigger than 20, of course, it should be needed a bigger sample.
2. The Global model - Quantitative study on simulation of evolution with artificial quotients of intelligence.
We could say the Social model of evolution of intelligence resolves the debate nature vs. nurture in intelligence. It shows that there is not much margin left to deny the hereditary nature of intelligence, not even to try to reduce it to less than 80%. Of course, one could always argue that there is a problem with the concept of intelligence and why not? with the definition of environment.
The main goal of this quantitative study was not to resolve the debate nature vs. nurture in intelligence but to go further and demonstrate the operational existence of the Genetic Information Verification method (GIV) pointed out by the GTCEL (General Theory of the Conditional Evolution of Life) for the intelligence particular case.
Also, the Social model of evolution of intelligence has been useful to determine that the significant chromosome is the one of less intellectual power.
Due to the accuracy of the quantitative study, and the fact that I had all the elements to do its computer simulation, I thought it would be a good idea to use it in order to confirm the results in despite the complexity of the task..
The computer simulation within the Global model should generate artificial intelligence quotients that should behave like those observed. This task was much more complicated than I thought, forcing me to eliminate all the simplifications that I had introduced in the model design.
Finally, after introducing the functional limitations, the Global model works satisfactorily which can be verified with the images associated with the graphs.
Of course, to obtain a satisfactory optical effect, the images have been chosen where W shows better adjustments to one of the C variables. It could be said that the graphs are speak for themselves.
Comparing the statistical correlation an regression with original variables and with centred variables, the GMCI with centred variables is higher in both cases and increases more when the dependent variables or objective function is M & F than with R°
The statistical study of the Global model absolutly confirms the results of the Social model about the debate nature vs. nurture in intelligence
3. Significant figures of this particular graph of the quantitative study.
This graph shows how the final model fits with the average of ten W variables; the accuracy of the adjustment can be observed both visually and by the level of the MCI of W (16.85) that has been reduced to levels of the global MCI (15.61)
The correlation of the W variable of artificial quotients of intelligence is not only totally equivalent to the natural observed variables in the groups with few elements but in the largest groups as well. It also offers the same typical saw-tooth form.
Even the behaviour of W is very similar with the correlations of groups without previous rearrangement.