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Human capital formation and economic development in Pakistan: an empirical analysis

TLDR
In this paper, the causal relationship between economic development and human capital formation was investigated in Pakistan based on endogenous growth theory and Pair-wise Granger Causality test was utilized using the time series data ranging from 1972 to 2009.
Abstract
There is widely accepted concept in economic theory that human capital plays positive role in determining national income. Formation or accumulation of human capital and economic development for human welfare are the major targets of economic policy of each country. This study investigates the casual relationship between economic development and formation of human capital in Pakistan. Based on endogenous growth theory, this study empirically test the standard growth model consisting of Gross Domestic Product (GDP) per capita as a dependent variable and human capital formation, investment in physical capital and labor force as independent variables. Auto Regressive Distributive Lag (ARDL) bound testing approach to co-integration is used to check the long run equilibrium relationship between the variables included in the model. For checking the causal relationship between economic development and human capital formation, Pair-wise Granger Causality test is utilized using the time series data ranging from 1972 to 2009. The results of the co-integration show that the variables are co-integrated. They have long run stable equilibrium relationship. The results of the causality test show that there is bidirectional causal relationship between economic development and human capital formation.

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References
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Distribution of the Estimators for Autoregressive Time Series with a Unit Root

TL;DR: In this article, the limit distributions of the estimator of p and of the regression t test are derived under the assumption that p = ± 1, where p is a fixed constant and t is a sequence of independent normal random variables.
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Investigating Causal Relations by Econometric Models and Cross-Spectral Methods

TL;DR: In this article, the cross spectrum between two variables can be decomposed into two parts, each relating to a single causal arm of a feedback situation, and measures of causal lag and causal strength can then be constructed.
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A Contribution to the Empirics of Economic Growth

TL;DR: The authors examined whether the Solow growth model is consistent with the international variation in the standard of living, and they showed that an augmented Solow model that includes accumulation of human as well as physical capital provides an excellent description of the cross-country data.
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Bounds testing approaches to the analysis of level relationships

TL;DR: In this paper, the authors developed a new approach to the problem of testing the existence of a level relationship between a dependent variable and a set of regressors, when it is not known with certainty whether the underlying regressors are trend- or first-difference stationary.
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