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# What is the Johansen cointegration test?

## What is the Johansen cointegration test?

Cointegration > Johansen’s test is a way to determine if three or more time series are cointegrated. More specifically, it assesses the validity of a cointegrating relationship, using a maximum likelihood estimates (MLE) approach.

## How do you read Johansen cointegration test?

Interpreting Johansen Cointegration Test Results

1. The EViews output releases two statistics, Trace Statistic and Max-Eigen Statistic.
2. Rejection criteria is at 0.05 level.
3. Rejection of the null hypothesis is indicated by an asterisk sign (*)
4. Reject the null hypothesis if the probability value is less than or equal to 0.05.

What is cointegration in Stata?

Cointegration says that they wander together, meaning that there is a long-run equilibrium relationship among the series. And in Stata, we can test for cointegration using the xtcointtest command. xtcointtest tests for the presence of this long-run cointegration relationship.

What is the difference between Vecm and ECM?

VECM (Vector Error Correction Modeling) is one of the modeling in the Multivariate Time Series. The simplest univariate modeling is ECM (Error Correction Modeling), a long term relationship between some non-stationary variables in the original data.

### What is Engle Granger cointegration test?

The Engle Granger test is a test for cointegration. It constructs residuals (errors) based on the static regression. The test uses the residuals to see if unit roots are present, using Augmented Dickey-Fuller test or another, similar test. The residuals will be practically stationary if the time series is cointegrated.

### How do you check for cointegration of two series?

1. Test the series, x1t and x2t for unit roots.
2. Run the above defined regression equation and save the residuals.
3. Test the residuals (^ecmt) for a unit root.
4. If you reject the null of a unit root in the residuals (null of no-cointegration) then you cannot reject that the two variables cointegrate.

What is rank in Johansen test?

Johansen’s Methodology By definition, the rank of pi is the maximum number of independent vectors within this matrix. If we have three endogenous variables, we can only have three independent vectors and no more than that. The rank could be zero or at most three or anywhere in that range.

What to do if there is no cointegration?

As you have mentioned that there is no cointegration applying ARDL Bound Test. In this case you can apply ARDL Model of Regression. In this case, you can check cointegration in the presence of structural break by using Gregory Hansen cointegration test.

#### What does it mean if two variables are cointegrated?

Two sets of variables are cointegrated if a linear combination of those variables has a lower order of integration. For example, cointegration exists if a set of I(1) variables can be modeled with linear combinations that are I(0).

#### What is the difference between correlation and cointegration?

Correlation is defined for stationary variables whereas cointegration is for non-stationary variables. You can consider cointegration as the ‘correlation’ (or a better word: co-movement) between two non-stationary variables.

What are cointegrated variables?

What tests does EViews provide for system cointegration?

In the single equation setting, EViews provides views that perform Engle and Granger (1987) and Phillips and Ouliaris (1990) residual-based tests, Hansen’s instability test (Hansen 1992b), and Park’s added variables test (Park 1992). System cointegration testing using Johansen’s methodology is described in “Johansen Cointegration Test”.

## How to interpret the result of the Johansen cointegration test?

Interpret the result of Johansen cointegration test in parts. First, converge the focus towards three columns; maximum rank, trace statistics or max statistics and critical values. Starting from maximum rank zero, the null and alternative hypotheses are as follows:

## What are the advantages of using Stata over EViews?

Stata does a good job in implementing the Johansen procedure. Entering commands through the GUI creates a set of stata commands which facilitates replication of and analysis and re-analysing the data with changes in specification. This facility is important in a more complicated analysis such as this and is not available in EVIEWS.

How to find the cointegrating vector of a VECM in Stata?

The STATA command for estimating the parameters of a VECM is “vec”. This will show the cointegrating vector (s). I strongly recommend the answer given already by Vince Daly. Stata does a good job in implementing the Johansen procedure.