A sequential panel selection approach to cointegration analysis: An application to Wagner's law for South African provincial data

Vayi, Xolisa and Phiri, Andrew (2018): A sequential panel selection approach to cointegration analysis: An application to Wagner's law for South African provincial data.

Abstract

This study extends the recently introduced sequential panel selection method (SPSM) to a cointegration framework which is particularly used to investigate Wagner’s law for 9 South African provinces between 2001 and 2016. We note that when applying single country/region estimates we fail to find evidence of cointegration whereas within panel regressions, cointegration effects are present for the entire dataset. In further applying the SPSM we observed significant Wagner’s effects for panels inclusive of Gauteng, Eastern Cape and Kwazulu-Natal provinces and when these provinces are excluded from the panels, cointegration effects are unobserved.

• Item Type: MPRA Paper
• Language: English
• Keywords: Sequential Panel selection method (SPSM); cointegration; Wagner’s law; Provincial analysis; South Africa.
• Subjects: C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C22 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes; C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C23 - Panel Data Models ; Spatio-temporal Models; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation, Validation, and Selection; H - Public Economics > H7 - State and Local Government ; Intergovernmental Relations > H70 - General

References

Ansari M., Gordon D. and Akuamoah C. (1997), “Keynes versus Wagner: Public expenditure and national income for three African countries”, Applied Economics, 29, 543-550.

Anyikwa I., Haaman N. and Phiri A. (2018), “Persistence in suicides of G20 countries: SPSM approach to three generations of unit root tests”, MPRA Working Paper No. 87790, July.

Calitz E., Du Plessis S. and Siebrits F. (2014), “Fiscal sustainability in South Africa: Will history repeat itself?”, Journal of Studies in Economics and Econometrics, 38(3), 55-78.

Chang T., Wu T. and Gupta R. (2015), “Are hosue prices in South Africa really nonstationary? Evidence form SPSM-based panel KSS test with Fourier function”, Applied Economics, 47(1), 32-53.

Chipaumire G., Ngirande H., Method M. and Ruswa Y. (2014), “The impact of government spending on economic growth: Case South Africa”, Mediterranean Journal of Social Sciences, 5(1), 109-118.

Chortareas G. and Kapetanois G. (2009), “Getting PPP right: Identifying mean-reverting real exchange rates in panels”, Journal of Banking and Finance, 30(2), 390-404.

Goffman I. (1968), “On the empirical testing of Wagner’s law: A technical note”, Public Finance, 23(3), 359-364.

Gupta S. (1967), “Public expenditure and economic growth: A time series analysis”, Public Finance, 22, 423-461.

Im K., Pesaran M. and Shin Y. (2003), “Testing for unit roots in heterogeneous panels”, Journal of Econometrics, 115(1), 53-74.

Kao C. (1999), “Spurious regression and residual-based tests for cointegration in panel data”, Journal of Econometrics, 90(1), 1-44.

Lee K. (2014), “Is per capita GDP stationary in China? Sequential panel selection method”, Economic Modelling, 37, 507-517.

Levin A., Lin C. and Chu J. (2002), “Unit root tests in panel data: asymptotic and finite sample properties”, Journal of Econometrics, 108(1), 1-24.

Li X., Tang (2014), “CO2 emissions converge in the 50 U.S. states – Sequential panel selection method”, Economic Modelling, 40, 320-333.

Maddala G. (1987), “Limited dependent variable models using panel data”, Journal of Human Resources, 22(3), 307-338.

Mann A. (1980), “Wagner’s law: An econometric test for Mexico 1926-1976”, National Tax Journal, 33, 189-201.

Menyah K. and Wolde-Rufael Y. (2012), “Wagner’s law revisited: A note from South Africa”, South African Journal of Economics, 80(2), 200-208.a

Musgrave R. (1969), “Fiscal systems”, New Haven: Yale University Press.

Narayan P., Nielsen I. and Smyth R. (2008), “Panel data, cointegration, causality and Wagner’s law: Empirical evidence form Chinese provinces”, China Economic Review, 19(2), 297-307.

Odhiambo N. (2015), “Government spending and economic growth in South Africa”, Atlantic Economic Journal, 43(3), 393-406.

Ogbonna B. (2009), “Testing Wagner’s law of government size for South Africa”, Journal of Research in National Development, 7(2), 1596-8308.

Peacock A. and Wiseman J. (1961), “The growth of public expenditure in the United Kingdom”, Princeton: Princeton University Press.

Pesaran H., Shion Y and Smith R. (1999), “Pooled mean group estimation of dynamic heterogenous panels”, Journal of the American Statistical Association, 94(446), 621-634.

Pesaran M., Shin Y. and Smith R. (2001), “Bounds testing approaches to the analysis of level relationships”, Journal of Econometrics, 16(3), 289-326.

Phiri A. (2017), “Nonlinearities in Wagner’s law: Further evidence from South Africa”, International Journal of Sustainable Economy, 9(3), 231-249.

Pryor F. (1969), “Public expenditures in communist and capitalist nations”, London: George Allen and Unwin.

Ziramba E. (2008), “Wagner’s law: An econometric test for South Africa, 1960-2006”, South African Journal of Economics, 76(4), 596-606.