MOLWICK

Statistical research on IQ

The EDI study on evolutionary psychology, the methodology of the statistical study, and IQ statistical correlations among intelligence test variables of families.

Cover of the book the EDI Study. Dusk over the sea with clouds, Galicia.

 

EVOLUTION AND DESIGN OF INTELLIGENCE

THE EDI STUDY

Author: José Tiberius

 

 

 

 

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 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.

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

  • 70 values of each IQ variable of the fathers, mothers, and children
  • 8 variables of the IQ of 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 these interrelations, that is, more than 1,000,000 values. Note that the average of any two values has a dynamic that is independent of the two values.

An example of the data source could be having a historical sample of 70 packets of cigarettes. However, the sample can be of 70 elements, or many more if, for each packet, the analysis would consider the following aspects:

  • The number of cigarettes per packet
  • The size of the cigarettes
  • The type of cardboard the packet has
  • 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
Multiple data in a single object
Different perspectives of a single object show many characteristics for statistical analysis.

The graphs show a instantaneous perception of the goodness-of-fit of a specification; they represent sixty coefficients of determination (r²) that highlights the underlying relations of the involved data.

In order to facilitate the comparative analysis, there is a multidimensional correlation index (from now on MCI) to represent with one number the global precision of the adjustments shown in any graph. It will be 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 GMCI will be 30 since the graphs always contain three variables and ten groupings.

On the right-hand side and below the variable, there are the r² and the GMCI to help to understand 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 allow reaching some crucial conclusions is the model sensitivity of the arrangement criterion.

 
 

DATA SOURCE
VARIABLES OF THE STATISTICAL STUDY

* These variables are the criteria to rearrange the groups in some instances.
**

These variables are the criteria to rearrange the groups in some instances, but only in the statistical survey to verify the method of Logical Verification of Information (LoVeInf) and the exceptional cases of the progenitors in the Curiosities section.

° These variables, in some instances, incorporate the effect of the statistical survey evolutionary parameters.
*R°

The objective function R of the statistical study arises from the General Theory of Conditional Evolution of Life (CEL), Mendelian genetics significance, and applying the method LoVeInf 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 CEL, and it will be the sum of the expected averages of each one of the cases weighted by their probabilities, according to the Mendelian genetics.

M&F Two IQ vectors of a 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°

Children vectors of artificial intelligence quotients are generated by the computer simulation of the Conditional Evolution of Life, they should behave like the children's observational data source.

*(M+F)/2 Vector of IQs produced by the semi-addition of the IQs 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, original variable from the Young Adulthood Study – OTIS intelligence test

**F

IQ vector of the fathers, original variable from the Young Adulthood Study – OTIS intelligence test

**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.
 
 
Appendix: Graphics table
STATISTICAL MODELS
 
 
SOCIAL MODEL: T1, T4, and WB Statistical study on IQ
Order Objective function
R M & F
Graphics GMCI r² max. Graphics GMCI r² max.
(M+F)/2 q011 12,48 0,67 q012 13,05 0,80
M1F1 q013 12,17 0,87 q014 13,28 0,87
R q015 12,07 0,74 q016 13,05 0,75
WB q017 13,22 0,92 q018 14,68 0,99

Go to The EDI Study

 
 

 q011
Statistical study about the heredity and genetics

 q012
 Statistical study about human genetics with IQ vector of Stanford Binet and Wechsler IQ test.

 

 q013
 Statistical study about Mendelian genetics with IQ vectors of Stanford Binet and Wechsler IQ test

 q014
 Statistical study about Gregor Mendel genetics

 

 q015 
Statistical study about Mendel's genetics with IQ vectors of Stanford Binet and Wechsler intelligence test

 q016 
Statistical study about genetics' science with IQ vectors of Stanford Binet and Wechsler intelligence test

 

 q017 
Statistical study about Mendel's genetics with IQ vectors of Stanford Binet and Wechsler intelligence test

 q018 
Statistical study about Genetics and Mendelian significance

 
SOCIAL MODEL: T1-d, X3, and X6 Statistical study on IQ
Order Objective function
R M & F
Graphs GMCI r² max. Graphs GMCI r² max.
(M+F)/2 q021 15,71 0,79 q022 16,03 0,80
M1F1 q023 14,98 0,92 q024 16,07 0,92
R q025 15,02 0,89 q026 15,88 0,90
X6 q027 15,05 0,91 q028 17,20 0,88

Go to The EDI Study

 
 

 q021 
Statistical article about the Social model of intelligence.

 q022 
Statistical article about IQs and intelligence test.

 

 q023
 Statistical article about intelligence quotients (IQs).
Back to Globus Model
 q024
 Statistical article about intelligence quotient scale.
Back to Globus Model

 

 q025
 Statistical study about Wechsler intelligence test.

 q026
 Statistical article about Wechsler intelligence scale.

 

 q027
 Statistical article about Stanford Binet intelligence scale.

 q028
 Statistical article about Stanford Binet iq scale.

 
SOCIAL MODEL: METHOD LoVeInf Statistical study on IQ
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 - Centered variables T1-d, X3 and X6
M q041 11,79 0,67 q042 12,14 0,71
F q043 12,28 0,69 q044 14,38 0,80
2F2M q045 9,20 0,56 q046 12,39 0,70

Go to The EDI Study

 
 

 q031
 Quantitative research about dominant and recessive genes

 q032
 Quantitative research about the genetic code relation with intelligence.

 

 q033
Genetic research about evolution of intelligence.

 q034 
Genetic information about evolution of intelligence.

 

 q035
 Graph z35 of the Social Model of correlations to verify the LoVeInf method

 q036 
Genetic modifications about evolution of intelligence.

 

 q041 
Main functions of intelligence are concentrated in only one chromosome.

 q042 
Main functions of intelligence are concentrated in only one chromosome.

 

 q043
 Genetic predisposition about evolution of intelligence.

 q044 
Quantitative research about dominant and recessive genes

 

 q045 
Quantitative research about dominant and recessive genes

 q046 
Quantitative research about genetic inheritance and intelligence.

 
Computer simulation of evolution
Intelligence Artificial intelligence quotients
Graphics Subject Observations
q050 MCIW Too high
q060 MCIW Similar to GMCI

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 q050 
z50 - Failed attempt at statistical simulation. Too high correlations of variable W.

 q060
 z60 - Successful attempt at statistical simulation. Correlations of variables created similar to those observed.

 
GLOBAL MODEL: T1, T4, and WB Original variables - 5% internal evolution
Order Objective function
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
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

Go to The EDI Study

 
 

 q051
 The Global Model of evolution of intelligence confirms the hereditary nature of intelligence

 q052 
The Global Model of evolution of intelligence confirms the hereditary nature of intelligence

 

 q053
The Global Model of evolution of intelligence confirms the heritability of intelligence

Back to family study

 q054 
The Global Model of evolution resolves the debate heredity vs. environment

 

 q055 
The Global Model of evolution resolves the debate between heredity and environment

 q056 
Global Model with development of artificial intelligence.

Back to family study

 

 q057
 Computer simulation with IQ statistical regression model of evolution of intelligence

 q058
 Computer simulation with IQ statistical correlation model of evolution of intelligence
 
GLOBAL MODEL: T1-d, X3, and X6 Centered variables - 5% internal evolution
Order Objective function
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
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

Go to The EDI Study

 
 

 q061
 The necessity of optimize the evolutionary timeline.

 q062
 Computer simulation of the complex dynamic system of evolution of intelligence

 

 q063 
The Global Model resolves the debate nature vs. nurture in intelligence.

Back to Globus Model
Back to family study
 q064 
The Global model resolves the debate nature vs. nurture in intelligence.

Back to Globus Model

 

 q065 
IQ quantitative data set from the Young Adulthood Study

 q066
 IQ quantitative data set from the Young Adulthood Study

 

 q067
 IQ quantitative data source from the Young Adulthood Study

 q068
Quantitative study and development of artificial intelligence quotients

 
GLOBUS MODEL (Globus parameterized model)

INTERNAL EVOLUTION SENSITIVITY

Parameters
Internal Evo.°
T1-d, X3, and X6, and arrangement criterion M1F1°
Objective function
Direct Indirect 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

Go to The EDI Study

 

 q073 
Graph of the Globus Model or sensitivity analysis of the Social Model to the evolution in a generation. Variable X3.

 q076 
Graph of the Globus Model or sensitivity analysis of the Social Model to the evolution in a generation. Variable X6.

 

 q077 
Graph of the model with real data of children and predicted by the CEL with the hypothesis of sexual selection.

 
 

 

Statistical study
8 - Family - Identical twin study
Graphics Family relationships Observations
q071°
q072°
Evolution with IQ Mothers Adjustment for Globus Model
q081 Relation between
children H
Identical twins
q082° Siblings or dizygotic twins
q083°
q084°
Clones Replica q053°
Clones 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 - Sexy Globus Model
 
 

 q071 
sensitivity analysis to evolution parameters.

Back to family study
 q072 
Intelligence with evolution and sexual differentiation

Back to family study

 

 q081 
Some studies of identical twins and non identical twins

 q082 
Some research of identical twins and non identical twins

 

 q083
 Studies environmental twins with the computer simulation

 q084 
Some IQ studies with environmental twins

 

 q085 
Statistical study with IQ of mothers as criterion of rearrangement.

 q086
 Statistical study with IQ of mothers as criterion of rearrangement.

 

 q087 
Statistical study with IQ of fathers as criterion of rearrangement.

 q088
 Statistical study with IQ of fathers as criterion of rearrangement.

 

 q089
Darwin himself wrote about sexual selection.

* * *

 

 

 

 

When Globus finished the book,
he happily calls Mª José to tell it to her
and asked her:

–Do you think Goblin will like it?–

Mª José replied:

–Don’t worry,
you already know his glimpses of children paranoia!