EViews Student Lite is available for free, but is restricted by the number of observations that can be analyzed, and does not allow saving. See the comparison table for full details on the differences between University Edition and Student Lite.
Please note that EViews 12 Student Version for Windows and Mac - Catalina and newer:
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A) You can purchase Standalone license if you are a current faculty member or student at an academic institution that is in good standing with EViews and has an EViews Volume License that is currently active.
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Chow test tests whether the two different models have the same coefficients. It follows $F$ distribution with $k$ and $N_1+N_2-2k$ degrees of freedom, where $k$ is the number of parameters and $N_1$ and $N_2$ are sample sizes of the data the two models are estimated on.
In your case two models are the same regression model estimated with the data before the potential break and after, hence $N_1+N_2=N$, where $N$ is the size of the full sample. This holds for any break. So the same degrees of freedom is perfectly normal. Now the fact that the test is always significant may indicate that the rejection occurs not because of the structural break but because of violations of the Chow test assumptions. Since you are testing GDP series this is possible, since GDP is usually a unit root process and this usually changes the distribution of the usual statistics.
An alternative for finding the exact year of structural break is to preform the regression:$$yt=β0+β_1t+γ_0Dt+γ_1tDt+νt(2)\;.$$ Move on the number of cases one by one below. From the point of structural break the regression coefficients will become significant continuously.
EViews can now be installed and run on your own computer or laptop within the University network, but if you are outside the University network, you will need to connect to the Cambridge VPN to be able to contact the licence server.
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Dynamic factor models have become very popular for analyzing high-dimensional time series, and are now standard tools in, for instance, business cycle analysis and forecasting. Despite their popularity, most statistical software do not provide these models within standard packages. We briefly review the literature and show how to estimate a dynamic factor model in EViews. A subroutine that estimates the model is provided. In a simulation study, the precision of the estimated factors are evaluated, and in an empirical example, the usefulness of the model is illustrated.
We have assumed here, for the sake of argument, that the dynamic factors \(\mathbf z_t\) (sometimes referred to as the primitive shocks) enters as errors in the static factor VAR process (4). This is unnecessarily strict. To be more precise, by suitably defining \(\mathbf f_t\), the dynamic factor model (1) can in general be cast in the static representation (2), where \(\mathbf f_t\) follows a VAR process which exact order depends on the specific dynamics of \(\mathbf z_t\). The number of static factors is always \(\mathcal R=\mathcal K(\ell +1)\), where \(\mathcal K\) is the number of dynamic factors and \(\ell \) is the order of the vector lag-polynomial \(\varvec\upsilon _i(L)\) in the common component in (1); see Bai and Ng (2007). In practice, the static representation is typically stated without reference to a more general dynamic factor model. Additionally, it is often assumed that the static common factors follow a stationary VAR process. Assumption A1 is innocuous, as we may assume that \(\mathbf z_t\) is an orthonormal error of the static factor VAR process, and that this, in general, relates to some dynamic factor model (1).
For any estimation approach, the number of factors \(\mathcal R\) is generally unknown, and needs to be either estimated or assumed. Popular estimators for the number of factors in approximate factor models can be found in Bai and Ng (2002), Onatski (2010) and Ahn and Horenstein (2013). Throughout the paper, we will treat the number of factors as known.
The static factor model (3) can be written as a state space solution defined by (6) and (7), where the number of states relates to the latent components of the model, that is, the common factors and the idiosyncratic components. Moreover, as shown by Doz et al. (2011), neglecting the idiosyncratic time series dynamics, and thereby possibly misspecifying the underlying model, can still lead to consistent estimation of the central parameters of the factor model, given by the common component. Specifically, imposing the misspecification that \(\varvec\epsilon _t\) in (3) is white noise, the static factor model can be written in state space form where the number of states k is equal to the number of factors \(\mathcal R\) times the number of VAR lags p: \(k=\mathcal Rp\). To see this, note that the factor VAR(p) process (4) can be written in stacked form as the VAR(1) process (see, e.g., Lütkepohl 2007, p. 15)
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