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SENSITIVITY ANALYSIS OF EVOLUTION

Computer simulation of model of intelligence and sensitivy analysis to evolution parameters.
  Computer simulation of model of intelligence and sensitivy analysis to evolution parameters.
 
 
 
 
Online book of The EDI Study on experimental psychology. Statistical study with IQ test data about the nature of intelligence.

 

STATISTICAL GRAPH

The title of each graph of the 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 data set.

See the methodology of the statistical abstract for more details

DATA SOURCE VARIABLES OF THE STATISTICAL STUDY

* R ° The objective function R of the statistical study is determined in accordance with the General Theory of Conditional Evolution of Life (GTCEL), Mendelian genetics significance and applying the method VGI to the intelligence quotients of the mothers (M) and fathers (F). Function R is the mathematical expected average of the capacity of the children in agreement with the GTCEL and it will be the sum of the expected averages of each one of the cases weighed by their probabilities according the Mendelian genetics.
M & F The two IQ vectors are use simultaneously in statistical regression with ordinary least squares and one IQ vector of the children.
T1-d IQ vector of children - T1 with smoothed tails, 10% of X6
X3 IQ vector of children - Mean of three original variables from the Young Adulthood Study.
* X6 IQ vector of children - Mean of six original variables from the Young Adulthood Study.
* (M+F)/2 Vector of IQs are produced by the semi-addition of the intelligence quotients of the mother M and the father F.
* M1F1 ° Vector of IQs obtained with the lowest value of M and F of each family, either the intelligence quotient of the father or the intelligence quotient of the mother.

STATISTICAL ANALYSIS 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 statistical analysis 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 and GTCEL) adjusts perfectly, showing an 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. Globus Model - Sensitivity analysis with the parameters of evolution on the Global Model.

Considering that internal evolution parameters ( ° ) will affect the objective function R and variable *M1F1 of the sample's previous rearrangement, the effect on the correlations of changes in these parameters would allow us to see changes in the goodness-of-fit of the Global Model's specifications.

The complexity of the model is very high due to the existence of sex linked genes or chromosomes. Nevertheless, the statistical Global model is able to detect their different effect. Even more, it will be able to sense the effect of sexual attraction on mate selection.

Using sensitivity analysis of these parameters in the Globus model will show us their optimal magnitude. This type of analysis reconfirms the Global and Social Models of evolution of intelligence.

The analysis with original variables is not as conclusive as with centred variables, the later generate more precise results.

The graph shows that the best adjustment is obtained for a value of 5% for each of the parameters of internal evolution, direct and indirect.

The Globus model is a statistical proof of evolution and it should be difficult to justify an increase of 10% in intellectual abilities with the classical theory of Darwin. On the contrary, the statistical analysis curried out is fully consistent with the General Theory of Conditional Evolution of Life.

3. Significant figures of this particular graph of the statistical analysis.

As you can see by its form and its values, this graph is different from the other two with the same variables (Rm.cen.3 and Sim.cen.3), the difference is the effect on variables R y M1P1 due to the variation that evolution parameters ( ° ), which allows us to make the statistical analysis of the Globus Model.

The general multidimensional correlation index (MCIG) is 14,14 and goes to 14,98 and 15,61 respectively.

The highest determination coefficient of this graph is 0,72 and goes to 0,92 and 0,89 respectively.

The theory of intelligence in the Global Cognitive Theory. Definition of intelligence as the group of basic and abstract relational functions of the brain.
 
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