# 4. MENDELIAN GENETICS AND GTCEL

## 4.a) Individual model of intelligence and method VGI

The scientific basis of this model of evolution of intelligence is explain in the title IV of the online book of the General Theory of Conditional Evolution of Life (GTCEL)

The full statistical model is presented in the title VI of the GTCEL book. The formulation of the empirical research model made in the GTCEL book is validated in this statistical study.

The proposed model for empirical research on the method of Verification of Genetic Information assumes the following hypotheses:

Evolution with external verification of the genetic information transmitted for the studied capacity.

Existence of a function

**ξ**that measures the different potentials from this capacity.

The IQ refer to the relative position defined by means of a standardized function **ξ**(I) of the statistical distribution of the IQ studied for the validation process of this function.

The statistical IQ data set includes de variables of Wechsler, Stanford Binet and Cattel scales that have Normal distribution with standard deviation of 15, 16 and 24 respectively.

The result of the combination of the four chromosomes in agreement with mendelian genetics significance will produce four different possibilities or cases. The mathematical expected average of the capacity of the new individual in agreement with the GTCEL will be the sum of the expected averages of each one of the cases weighed by their probabilities.

In the present model of the scientific theory there are some simplifications to ease its presentation.

It will be necessary to complicate the genetic combination and GIV method Initial Model of evolution of intelligence to obtain better estimations, (although now I would dare to say, more impressive). For example, the confirmation of the increase of 10% in each generation will be confirmed, as we will see later.

## 4.b) Results of the model of intelligence

In the empirical research of mendelian genetics with method VGI, when estimating the model of intelligence with the method of the *ordinary least squares,* I am not interested in obtaining the value of the parameters; on the contrary, I am looking for the **goodness-of-fit** of the estimation, that is to say, its **correlation coefficient** (r) and its squared or **determination coefficient** (r²); they represent the relation between the explained variance and the total variance.

The table shows the poor results of the *individual model* of intelligence of mendelian genetics and method of Verification of Genetic Information.

On top of the table, there are the six variables, the three original variables of the children T1*(Stanford Binet scale),* T4, WB *(Wechsler scale)* and the centered variables, T1-d*(Stanford Binet scale)* corrected with the extreme values, *(Wechsler, Stanford Binet* test and other test) and **X6** *(Wechsler, Stanford Binet test* and other test).

Parents' variables are function **R, M1F1, (M+F)/2** and **M & F;** where **M1F1** is the vector produced by the smaller values of **M** or **F** for each family. The **M & F** correlations are attained using the ordinary square minimums method with **C** variables *(Wechsler, Stanford Binet* test and other test) and with both ancestors simultaneously.

The best result is obtained when simultaneously using the variables **M** and **F.** Nevertheless it continues being very low and quite below the inferior level of generally accepted dependency, which is established within the range of 0.35 - 0.80 by previous studies on twins.

A correction due to the degree of kinship between expected and observed correlations for determining the hereditariness degree cannot be applied since the expected correlation between parents and children is unknown.

Even if the corrected results were 50%, they would continue being very low, although they would be around the indicated inferior level of 0.35

To explain these results, we can clearly deduce that there will be variations due to the mendelian inheritance. Also, from the low correlations between C children variables themselves, we realize that the IQ values incorporate great deviations due to their measurements, the particular intelligence test used, and the manifestation of the intellectual potential or brainpower due to fatigue.

At this stage, I decided to carry out the analysis in groups with the hope that these differences would be compensated and, consequently, increase the correlation of the model of intelligence.