Testing Granger Causality in the presence of threshold effects

Abstract This paper proposes a Granger Causality test allowing for threshold effects. The proposed test can be conducted on the basis of the threshold autoregressive distributed lag model or the augmented logistic smooth transition autoregressive model. The proposed test is applied to the U.S. civilian unemployment rate, and it is shown that real investment, real GDP and real interest rate are helpful for improving the in-sample fit of unemployment.

[1]  F. Diebold,et al.  Comparing Predictive Accuracy , 1994, Business Cycles.

[2]  D. Andrews.  Tests for Parameter Instability and Structural Change with Unknown Change Point , 1993 .

[3]  Hung Man Tong,et al.  Threshold models in non-linear time series analysis. Lecture notes in statistics, No.21 , 1983 .

[4]  Bruce E. Hansen,et al.  Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis , 1996 .

[5]  G. C. Tiao,et al.  Journal of the American Statistical Association Forecasting the U.s. Unemployment Rate Forecasting the U.s. Unemployment Rate , 2022 .

[6]  K. Chan,et al.  Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model , 1993 .

[7]  R. Quandt.  The Estimation of the Parameters of a Linear Regression System Obeying Two Separate Regimes , 1958 .

[8]  Clive W. J. Granger,et al.  Unit Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates , 1998 .

[9]  D. Andrews,et al.  Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative , 1992 .

[10]  Philip Rothman,et al.  Forecasting Asymmetric Unemployment Rates , 1998 .

[11]  R. Davies.  Hypothesis testing when a nuisance parameter is present only under the alternative , 1977 .

[12]  T. Teräsvirta.  Specification, Estimation, and Evaluation of Smooth Transition Autoregressive Models , 1994 .

[13]  R. Tsay.  Testing and modeling multivariate threshold models , 1998 .

[14]  Ruey S. Tsay,et al.  On the Ergodicity of Tar(1) Processes , 1991 .

[15]  B. Hansen,et al.  Inference in TAR Models , 1997 .

[16]  Jean-Francois Richard,et al.  Models With Several Regimes and Changes in Exogeneity , 1980 .

[17]  Timo Teräsvirta,et al.  Smooth transition autoregressive models - A survey of recent developments , 2000 .

[18]  Bruce E. Hansen,et al.  THRESHOLD AUTOREGRESSION WITH A UNIT ROOT , 2001 .

[19]  B. Hansen.  Sample Splitting and Threshold Estimation , 2000 .

[20]  D. Shin,et al.  An instrumental variable approach for tests of unit roots and seasonal unit roots in asymmetric time series models , 2003 .

[21]  Lilian K. Ng,et al.  A causality-in-variance test and its application to financial market prices , 1996 .

[22]  Timo Teräsvirta,et al.  Testing linearity against smooth transition autoregressive models , 1988 .