手法を比較

	パネル・ヨハンセン共和分検定	パネルEngle-Granger共和分検定
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	2001	1999
提唱者	Larsson, Lyhagen & Lothgren (building on Johansen 1988/1991)	Pedroni (1999), extending Engle & Granger (1987)
種類	Panel cointegration test	Cointegration test
原典	Larsson, R., Lyhagen, J., & Lothgren, M. (2001). Likelihood-based cointegration tests in heterogeneous panels. Econometrics Journal, 4(1), 109–142.	Pedroni, P. (1999). Critical values for cointegration tests in heterogeneous panels with multiple regressors. Oxford Bulletin of Economics and Statistics, 61(S1), 653-670.
別名	panel Johansen test, Larsson-Lyhagen-Lothgren test, LLL panel cointegration, panel trace test	panel cointegration test, panel EG cointegration, Pedroni cointegration test, residual-based panel cointegration
関連	5	5
概要	The Panel Johansen cointegration test extends Johansen's maximum-likelihood framework to panel data, allowing researchers to test whether multiple non-stationary variables share long-run equilibrium relationships across cross-sectional units. It pools the likelihood-ratio statistics from individual Johansen tests and compares the standardised average against a standard normal distribution, yielding greater power than single-country approaches.	The Panel Engle-Granger cointegration test extends the classic two-step Engle-Granger procedure to panel data, allowing researchers to detect long-run equilibrium relationships among integrated variables across multiple cross-sectional units simultaneously. Pedroni (1999) developed panel statistics that pool information across units while allowing heterogeneous short-run dynamics and individual-specific intercepts and trends.