Submitted:
23 May 2024
Posted:
23 May 2024
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Abstract
Keywords:
1. Introduction
2. Literature Review
3. Data and Methodologies
3.1. Data Description
3.2. Data Explanation and Source
4. Analysis and Result
4.1. The Descriptive Statistics Test Result
4.2. Unit Root Test of All Selected Variables
4.3. Explanation of Variable Analysis
4.4. Correlation Analysis
4.5. Regression Analysis
4.5.1. 1st Regression Model Test
4.5.1. 2nd Regression Test Analyses
4.6. Residual Diagnostic Test and Stability of Regression Result
| Dependent variable: LNGDP Method: Least Squares Date: 02/11/24 Time: 23:15 Sample: 2013-2022 Included observation: 10 | ||||
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
| C | 604.4173 | 58.48244 | 10.33502 | 0.0000 |
| LNAFF | -7.57E-06 | 2.01E-06 | -3.772955 | 0.0093 |
| LNSE | 796.6949 | 53.77386 | 14.81565 | 0.0000 |
| LNIN | 1.62E-06 | 3.49E-07 | 4.626090 | 0.0036 |
| R-squared | 0.999022 | Mean dependent var | 2670.420 | |
| Adjusted R-squared | 0.998533 | S.D. dependent var | 345.8040 | |
| S.E. of regression | 13.24312 | Akaike info criterion | 8.294008 | |
| Sum squared resid | 1052.282 | Schwarz criterion | 8.415042 | |
| Log likelihood | -37.47004 | Hannan-Quinn criter | 8.161234 | |
| F-statistics | 2043.505 | Durbin-Watson stat | 2.595124 | |
| Prob (F-statistic) | 0.000000 | |||
| Normality test | 1 er regression model | 2 er regression model |
| Mean | -4.61e-14 | 4.49e-14 |
| Maximin | 38.05816 | 23.12854 |
| Minimum | -32.95284 | -12.92113 |
| Std. Deviation | 21.24362 | 10.81296 |
| Jarque-Bera | 0.320513 | 0.952157 |
| Probability | 0.851925 | 0.621215 |
| Diagnostic Tests | 1 er regression model | 2 er regression model |
| Heteroskedasticity Test: Breusch-Pagon-Godfrey | F (2,4) = 0.786018 | F (3,6) = 0.809942 |
| Obs*R-squared =2.821296 | Obs*R-squared = 2.882416 | |
| Chi-Square (2) = 0.2440 | Chi-Square (3) = 0.4101 | |
| Breusch-Godfrey Serial Correlation LM Test: | F (3,6) = 0.526197 | F (2,4) = 0.673122 |
| Obs*R-square = 2.082961 | Obs*R-squared = 2.518112 | |
| Chi-Square (3) = 0.5554 | Chi-Square (2) = 0.2839 | |
| Ramsey RESET Test: | t-statistic = 0.774081 | t-statistic = 1.957639 |
| F-statistic = 0.599201 | F-statistic= 3.832351 | |
| p = 0.4739 | p = 0.1076 |
4.7. CUSUM, and CUSMUSQ Test Results
Discussion
Concussion
Funding
Data Availability
Acknowledgments
Appendices
Appendices 1: result of the correlation analysis test.

Appendices 2: result of correlation analysis test

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| Abbreviation | Description Variable | Source |
| GDP | GDP per capita in Djibouti ($) | World Bank open data/ WDI |
| LNMC | Mobile Cellular subscription (per 100 people) | World Bank open data/ WDI |
| LNPSS | People using safety managed sanitaire service (% of population) | World Bank open data |
| LNAE | Access to electricity (% of population) | WDI / IEA energy access |
| LNAFF | Agriculture, Forestry, and Fishing, valued added (current US$) | World Bank open data/ WDI |
| LNIN | Industry (included construction) valued added (current US$) | World Bank open data/ WDI |
| LNSE | Service valued added (Billion US$) | World Bank open data/ WDI |
| Variables | observation | Minimum | Mean | Maximum | Std. Deviation |
| Access to electricity (% of population) | 10 | 42 | 59.56 | 65.4 | 6.694807 |
| Mobile Cellular subscription (per 100 people) | 10 | 25 | 36.1 | 46 | 6.573516 |
| People using safety managed sanitaire service (% of population) | 10 | 34 | 37.8 | 40 | 2.20101 |
| Agriculture, Forestry, and Fishing, valued added (current US$) | 10 | 24409046 | 40690033 | 63983297 | 15371156 |
| Industry (included construction), valued added (current US$) | 10 | 232791848 | 383337867.3 | 551432922 | 118367159 |
| Service, valued added (Billion US$) | 10 | 1.65 | 2.202 | 2.7 | 0.337895 |
| GDP per capita in Djibouti ($) | 10 | 2102.2 | 2670.42 | 3136.1 | 345.804 |
| At level | At First Difference | |||||||
| Variables | Intercept | P-value | Trend and Intercept | P-value | Intercept | P-value | Trend and Intercept | P-value |
| LNGDP | -3.2283 | 0.0565* | -2.4310 | 0.3436 | -1.4983 | 0.4761 | -4.4061 | 0.0429** |
| LNAE | -1.6190 | 0.4343 | -0.2417 | 0.9735 | -0.3019 | 0.8836 | 1.9630 | 0.9999 |
| LNPSS | -2.7799 | 0.0987* | 0.7255 | 0.9972 | 0.0000 | 0.9256 | -4.4647 | 0.0400** |
| LNMC | -1.0179 | 0.6962 | -2.9372 | 0.2021 | -3.8031 | 0.0267** | -3.3741 | 0.1292 |
| LNAFF | 0.6087 | 0.9796 | -1.9813 | 0.5338 | -2.0113 | 0.2769 | -2.1150 | 0.4657 |
| LNIN | -0.2118 | 0.9040 | -2.3605 | 0.3707 | -2.7420 | 0.1084 | -2.3145 | 0.3830 |
| LNSE | -1.2170 | 0.6161 | -1.9340 | 0.5584 | -1.7100 | 0.3912 | -1.4618 | 0.7563 |
| Correlation | LNGDP | LNAE | LNPSS | LNMC |
| LNGDP | 1.000000 | |||
| LNAE | -0.116895 | 1.000000 | ||
| LNPSS | 0.981457* | 0.006937* | 1.000000 | |
| LNMC | 0.993540* | -0.186479* | 0.961484* | 1.000000 |
| Correlation | LNGDP | LNSE | LNAFF | LNIN |
| LNGDP | 1.000000 | |||
| LNSE | 0.997648* | 1.000000 | ||
| LNAFF | 0.935860* | 0.932550* | 1.000000 | |
| LNIN | 0.970913* | 0.963109* | 0.987337* | 1.000000 |
| Dependent variable: LNGDP Method: Least Squares Date: 02/11/24 Time: 23:14 Sample: 2013-2022 Included observation: 10 | ||||
| Variable | Coefficient | Std. Error | t-Statistic | Prob. |
| C | -510.9943 | 446.2004 | -1.324504 | 0.2335 |
| LNPSS | 51.51711 | 19.79694 | 2.602276 | 0.0405 |
| LNMC | 35.75507 | 6.746794 | 5.299563 | 0.0018 |
| LNAE | 0.391367 | 1.820874 | 0.214934 | 0.8369 |
| R-squared | 0.996226 | Mean dependent var | 2670.420 | |
| Adjusted R-squared | 0.994339 | S.D. dependent var | 345.8040 | |
| S.E. of regression | 26.01801 | Akaike info criterion | 9.644630 | |
| Sum squared resid | 4061.623 | Schwarz criterion | 9.765664 | |
| Log likelihood |
-44.22315 | Hannan-Quinn criter | 9.511856 | |
| F-statistics |
527.9477 | Durbin-Watson stat | 2.590053 | |
| Prob (F-statistic) | 0.000000 | |||
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