## STATISTICAL ABSTRACT

METHODOLOGY OF THE STATISTICAL STUDY

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.

Each graph condenses more than 5,000 different points of information for the interrelations between:

- 70 values of each CI variable of the fathers, mothers, and children.
- 8 variables of the CI fathers, mothers, and children.
- 3 variables of individual averages of the previous variables.
- 10 criteria of value arrangement.
- 10 sizes of groupings of individuals.
- 20 values of evolution’s parameters in a sensitivity analysis.
- Countless random variables created in the simulation model.

The set of graphs collects all of these interrelations, that is, more than 1,000,000 values. Note that the average of any two values has its own dynamic and is more or less independent of the other two values.

As an example of the information’s validity, one could put forth the case of having a historical sample of 70 packets of cigarettes. The sample can be considered consisting of 70 elements, or many more if we consider that for each packet the following could be investigated:

- The number of cigarettes per packet.
- The size of the cigarettes.
- The type of cardboard the packet is made of.
- The color.
- If it has any images.
- If it has any health warnings.
- The type or severity of these warnings.
- Information about the level of nicotine and tar.
- etc.

Indeed, an almost instantaneous perception of the exactitude of the particular specification is obtained; sixty coefficients of determination (r2) are shown in a way that highlights the global and underlying relations of the involved data.

In order to facilitate the comparative analysis, a **multidimensional correlation index** has been defined (hereinafter MCI) to represent the global precision of the adjustments shown in any graph with one number. It will be made up of the sum of the determination coefficients of the ten rearranged variables.

There will be an MCI for each variable and a global MCI for the three variables studied in each graph. The maximum G-MCI will be 30, since 3 different variables and ten groups are always used.

On the right hand side and below the variable, the **r²** and the GMCI are shown to help understanding the correlations involved.

The results are surprising, which can be observed both in the graphs of the statistical annex and in the following tables. An aspect that will especially allow us to reach some important conclusions is the model sensitivity of the arrangement criterion.

## DATA SOURCE AND VARIABLES OF THE STATISTICAL STUDY | |

* |
These variables have been used to rearranged the groups in certain cases. |

** |
These variables have been used to rearrange the groups in certain cases, but only in the statistical survey to verify the |

° | These variables, in certain cases, incorporate the effect of the statistical survey evolutionary parameters. |

* R ° |
The objective function R of the statistical study is determined in accordance with the General Theory of Conditional Evolution of Life, 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 using ordinary least squares with one IQ vector of the children. |

T1 |
IQ vector of children - Original variable from the Young Adulthood Study - Stanford-Binet intelligence test. |

T4 | IQ vector of children - Original variable from the Young Adulthood Study - Stanford-Binet intelligence test applied when children were 12 years old. |

* WB | IQ vector of children - Original variable from the Young Adulthood Study - Wechsler Bellevue intelligence test applied when children were 13 years old. |

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. |

* W ° |
Vectors of artificial intelligence quotients are generated by the computer simulation of the |

* (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. |

** M |
IQ vector of the mothers |

** F |
IQ vector of the fathers |

** 2F2M |
Vector of IQs obtained with the highest value of M and F of each family, either the intelligence quotient of the father or the intelligence quotient of the mother. |

• STATISTICAL GRAPHS

q012

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q022

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Order | Objective function | |||||

R | M & F | |||||

Graphs | GMCI | r² max. | Graphs | GMCI | r² max. | |

3 - Original variables T1, T4 and WB | ||||||

M | q031 | 8,48 | 0,61 | q032 | 9,16 | 0,69 |

F | q033 | 9,44 | 0,59 | q034 | 12,52 | 0,78 |

2F2M | q035 | 7,55 | 0,61 | q036 | 10,25 | 0,73 |

4 - Centred variables T1-d, X3 and X6 | ||||||

M | q041 | 11,79 | 0,67 | q042 | 12,14 | 0,71 |

P | q043 | 12,28 | 0,69 | q044 | 14,38 | 0,80 |

2F2M | q045 | 9,20 | 0,56 | q046 | 12,39 | 0,70 |

q032

q033

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q041

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q046 q050

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Order | Objective function | |||||

R° | M & F | |||||

Graphs | GMCI | r² max. | Graphs | GMCI | r² max. | |

(M+F)/2 | q051° | 11,73 | 0,62 | q052 | 13,05 | 0,80 |

M1F1° | q053° | 10,91 | 0,79 | q054° | 13,04 | 0,79 |

R° | q055° | 10,83 | 0,73 | q056° | 12,63 | 0,94 |

WB | q057° | 12,26 | 0,89 | q058 | 14,68 | 0,99 |

° Internal evolution parameters affect the objective function R and M1F1 order |

q052

q053

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Order | Objective function | |||||

R° | M & F | |||||

Graphs | GMCI | r² max. | Graphs | GMCI | r² max. | |

(M+F)/2 | q061° | 14,70 | 0,77 | q062 | 16,03 | 0,80 |

M1F1° | q063° | 15,61 | 0,89 | q064° | 17,77 | 0,89 |

R° | q065° | 15,55 | 0,84 | q066° | 17,40 | 0,97 |

X6 | q067° | 15,05 | 0,91 | q068 | 17,20 | 0,88 |

° Internal evolution parameters affect the objective function R and M1F1 order |

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TABLE: INTERNAL EVOLUTION SENSITIVITY

Parameters Internal Evo.° |
T1-d, X3 y X6 and arrangement criterion M1F1° | ||||||

Objective function | |||||||

Direct | Indirect | R° | M & F | ||||

Mothers | Graphs | GMCI | r² max. | Graphs | GMCI | r² max. | |

5 | 5 | q071° | 14,14 | 0,72 | q072° | 14,46 | 0,72 |

3 | 3 | 14,21 | 0,82 | 14,81 | 0,82 | ||

1 | 1 | 13,49 | 0,80 | 13,89 | 0,80 | ||

Null | |||||||

0 | 0 | q023 | 14,98 | 0,92 | q024 | 16,07 | 0,92 |

Fathers | |||||||

1 | 1 | 14,06 | 0,83 | 16,10 | 0,87 | ||

2 | 3 | 14,79 | 0,87 | 16,10 | 0,87 | ||

3 | 3 | 15,33 | 0,84 | 16,47 | 0,84 | ||

4 | 4 | 15,09 | 0,84 | 16,73 | 0,84 | ||

5 | 5 | q063° | 15,61 | 0,89 | q064° | 17,77 | 0,89 |

6 | 6 | 14,30 | 0,95 | 16,74 | 0,95 | ||

7 | 7 | 13,25 | 0,83 | 15,56 | 0,83 | ||

° Internal evolution parameters affect the objective function R and M1F1 order |

q073

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8 - Family - Identical twin study

Graphics | Family relationships | Observations |
---|---|---|

q071° q072° |
Evolution with CI Mothers | Adjustment for Globus Model |

q081 | Relation between children H |
Identical twins |

q082° | Siblings or dizygotic twins | |

q083° q084° |
Clons Replica q053 ° Clons Replica q056 ° | |

(1 Mothers q085) (2 Mothers q086°) |
Progenitors | Rearrangement criteria M and evolution |

(3 Fathers q087) (4 Fathers q088°) |
Rearrangement criteria F and evolution | |

q089° | Sexual selection - Couples | Without sexual selection (q063°)With - Super Globus Model |

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