STATISTICAL GRAPH
The title of each graph of the statistical study indicates the parents' variables (R or M & F) to which the correlations relate. Each point of the colored lines represents the correlations with the observational C variables of the 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, appear on the left-hand side of the graph. The criteria order of the groups of 1 to 10 values located on the right-hand side is the variable mentioned at the bottom of the graph.
Indeed, there is an almost instantaneous perception of the exactitude of the particular specification of the statistical study; each graph shows sixty coefficients of determination (r²) highlighting the global and underlying relations of the involved data set.
See the methodology of the statistical abstract for more details
STATISTICAL STUDY COMMENTS
1. General statistical significance
The considerable increase of the correlation for the estimation of homogenous groups is not due 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 concerning the sample without grouping.
In general, the model of the genetic evolution of intelligence (Mendelian genetics – Conditional intelligence – Global 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 assume it would be over 0,9 in almost all the cases for grander groups within a more significant sample.
2. Social Model with centered variables
As expected, the compensation of random deviations in the values of the centered variables makes the new statistical analysis fit significantly better than the model with original vectors.
It seems there is not much margin left to deny the hereditary nature of intelligence, not even to try to reduce it to less than 80%. Considering the model use groups with a maximum of ten elements and the observed tendency to increase with the number of elements, we would say the correlation should be almost 1 for groups of a hundred elements.
In other words, the general laws of innate intelligence proposed by the CEL are confirmed at the group level while maintaining deviations within individuals.
3. Significant comments on this particular graph
As you can clearly see by its form, the three dependent variables of the children, analyzed in the model, behave in a very similar way to the progenitors' explanatory variable R
The general multidimensional correlation index (GMCI) is 15,02 which is a normal value for the whole EDI study.
However, the biggest determination coefficient r² of this graph is 0,89 which is high value within this type of statistical studies.