2026-07-25

Econometric analysis: Spatial Models

Presentation of study data

As part of this project of memory project, we are particularly interested in economic growth in Africa. Variables dictated by literary and empirical journals will be retrieved from the World Bank database. In this case, GDP per capita, fossil energy consumption, physical capital ... etc. Other unobservable variables will be able to be calculated. In this sense, it is the savings rate, the net capital inflow, the rates of commercial opening. Our values are in current dollars. The study period or the interval by which we analyze the theme is between 1960 and 2016. In truth, more data remains unavailable for the year 2017. We will then solicit methods of clearing and correction of the missing values before to be able to carry out studies whose prospects seem already purified in the general introduction.

 

  1. Analysis of econometric results

Durbin's space model estimates include the random effect model, fixed spatial effect, temporal fixed effect, fixed spatial and temporal effects, and direct, indirect and total effects in the table. The prediction of GDP per capita convergence by the exogenous Solow model seems utopian in Africa and it is remarkable that spatial effects have a positive influence on the convergence process. The human capital variable has a negative effect, consistent with the literature.

 

The table shows the estimates of the autoregressive spatial models in particular the random effect model, spatial fixed effect, temporal fixed effect, fixed spatial and temporal effects, direct, indirect and total effect. The prediction of the convergence of GDP per capita by the exogenous Solow model or of Mankiw, Romeret Weil (1992) for improving the basic Solow model by including human capital seems to exist in Africa and it is remarkable that the spatial effects have a positive influence on the convergence process.

The tables opposite show the results of the autoregressive Spatial model with the autoregressive spatial error model (SAC) on the left (known as the SARAR model or the Kelejian-Prucha model) and on the right the result of the random-action model Space Genera Spatial (GSPRE). Estimates of spatial error models include the random effect model, temporal fixed effect, spatial effects and fixed time.


ADAN, A.-B. (2018). Croissance Economique et Développement Durable en Afrique: Analyses Statistiques et Econométriques [Kindle]. Amazon Media EU S.à r.l.

 We remind you that the whole of this document is accessible on the Amazon site:

https://www.amazon.fr/Boutique-Kindle-ABDI-BASID-ADAN/s?ie=UTF8&page=1&rh=n%3A672108031%2Cp_27%3AABDI-BASID%20ADAN


 © 2026 The Abdi-Basid Courses Institute (tABCi). All rights reserved.

 
 

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🧪 Abdi-Basid ADAN LABS  | Focus: Interdisciplinary Sciences & Education.

🧠 The Deep Thinking Lab | Focus: Philosophy & Human Sciences.

🌍 The EcoClimate Hub | Focus: Climate Science & Environment.

Contact : Abdi-Basid ADAN [abdi-basid@outlook.com]


 © 2017-2026 The Abdi-Basid Courses Institute (tABCi). All rights reserved.

Statistical analysis : Classification

  

We remind that it is an extract of the book economic growth and sustainable development in structure (statistical and econometric analysis) whose site: https://www.amazon.fr/Boutique-Kindle-ABDI-BASID-ADAN / s? ie = UTF8 & page = 1 & rh = n 3A672108031%%% 2Cp_27 3AABDI-Basid% 20ADAN

1. Presentation of study data

As part of this project of memory project, we are particularly interested in economic growth in Africa. Variables dictated by literary and empirical journals will be retrieved from the World Bank database. In this case, GDP per capita, fossil energy consumption, physical capital ... etc. Other unobservable variables will be able to be calculated. In this sense, it is the savings rate, the net capital inflow, the rates of commercial opening. Our values ​​are in current dollars. The study period or the interval by which we analyze the theme is between 1960 and 2016. In truth, more data remains unavailable for the year 2017. We will then solicit methods of clearing and correction of the missing values ​​before to be able to carry out studies whose prospects seem already purified in the general introduction.

 

2. Analysis of statistical results

Above we have presented the ascending hierarchical classification of variables under three graphs, but the first illustration is more explicit. The objective sought in this segmentation or partitioning of the set of observations is exposed their similarities and their dissimilarities by the measure of dissimilarity and the criterion of homogeneity which generally revolves around the minimization of the inertia in each class: this is called measuring the quality of the class. The partitioning algorithm in our context is based on Ward's method, although other partitioning techniques are based on the K-mean method; K-mode. K-prototype, Kohonen networks, mixed method, relational ... etc.,

The table below presents the critical probabilities of the Student's test in relation to the comparison of the average GDP per capita (GDP / H) between the groups of countries 1,2,4,7 and 9. Indeed, the other groups consist of only one isolated country.


ADAN, A.-B. (2018). Croissance Economique et Développement Durable en Afrique: Analyses Statistiques et Econométriques [Kindle]. Amazon Media EU S.à r.l.

 We remind you that the whole of this document is accessible on the Amazon site:

https://www.amazon.fr/Boutique-Kindle-ABDI-BASID-ADAN/s?ie=UTF8&page=1&rh=n%3A672108031%2Cp_27%3AABDI-BASID%20ADAN


 © 2026 The Abdi-Basid Courses Institute (tABCi). All rights reserved.

 
 

🏛️ tABCi Laboratories :


🧪 Abdi-Basid ADAN LABS  | Focus: Interdisciplinary Sciences & Education.

🧠 The Deep Thinking Lab | Focus: Philosophy & Human Sciences.

🌍 The EcoClimate Hub | Focus: Climate Science & Environment.

Contact : Abdi-Basid ADAN [abdi-basid@outlook.com]


 © 2017-2026 The Abdi-Basid Courses Institute (tABCi). All rights reserved.

Econometric Analysis: Simultaneous Equation Models

1. Presentation of study data

As part of this project of memory project, we are particularly interested in economic growth in Africa. Variables dictated by literary and empirical journals will be retrieved from the World Bank database. In this case, GDP per capita, fossil energy consumption, physical capital ... etc. Other unobservable variables will be able to be calculated. In this sense, it is the savings rate, the net capital inflow, the rates of commercial opening. Our values ​​are in current dollars. The study period or the interval by which we analyze the theme is between 1960 and 2016. In truth, more data remains unavailable for the year 2017. We will then solicit methods of clearing and correction of the missing values ​​before to be able to carry out studies whose prospects seem already purified in the general introduction.

 

2. Analysis of econometric results

Obviously, the double least squared, by its performance, it takes into account to correct the problem of endogeneity of which several model suffers. Obviously, this coincides with the stochastic least regular square hypothesis. By this means, a violation of the assumptions that depends on the reliability, the efficiency of the estimators.

To overcome this unavoidable problem, the TSLS method is created by proposing an effective solution. Notwithstanding, for the sake of comparison, we had thought of other methods to which their efficiencies seem as impressive as the double least square.

Thus, these were the methods of the triple least square, double least squared square, least squared square, triple least square repeated and weighted iteration, SUR, Instrumental variable, THEIL-OLS, POOLED-SUR, THEIL -POOLED, THEIL-ON, POOLED-OLS, LIML and FIML, MLMV, Least Generalized Residual Variance (LGRV), Indirect Least Square (ILS), K-Class Estimator, Maximum Likelihood (ML), Least Variance Ratio (LVR).

 

 

 

ADAN, A.-B. (2018). Croissance Economique et Développement Durable en Afrique: Analyses Statistiques et Econométriques [Kindle]. Amazon Media EU S.à r.l.

 We remind you that the whole of this document is accessible on the Amazon site:

https://www.amazon.fr/Boutique-Kindle-ABDI-BASID-ADAN/s?ie=UTF8&page=1&rh=n%3A672108031%2Cp_27%3AABDI-BASID%20ADAN


 © 2026 The Abdi-Basid Courses Institute (tABCi). All rights reserved.

 
 

🏛️ tABCi Laboratories :


🧪 Abdi-Basid ADAN LABS  | Focus: Interdisciplinary Sciences & Education.

🧠 The Deep Thinking Lab | Focus: Philosophy & Human Sciences.

🌍 The EcoClimate Hub | Focus: Climate Science & Environment.

Contact : Abdi-Basid ADAN [abdi-basid@outlook.com]


 © 2017-2026 The Abdi-Basid Courses Institute (tABCi). All rights reserved.

The Abdi-Basid Courses Institute (tABCi)

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