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Basic Panel Analysis—893

Basic Panel Analysis

EViews provides various degrees of support for the analysis of data in panel structured workfiles.

There is a small number of panel-specific analyses that are provided for data in panel structured workfiles. You may use EViews special tools for graphing dated panel data, perform unit root tests, or estimate various panel equation specifications.

Alternately, you may apply EViews standard tools for by-group analysis to the stacked data. These tools do not use the panel structure of the workfile, per se, but used appropriately, the by-group tools will allow you to perform various forms of panel analysis.

In most other cases, EViews will simply treat panel data as a set of stacked observations. The resulting stacked analysis correctly handles leads and lags in the panel structure, but does not otherwise use the cross-section and cell or period identifiers in the analysis.

Panel-Specific Analysis

Time Series Graphs

EViews provides tools for displaying time series graphs with panel data. You may use these tools to display a graph of the stacked data, individual or combined graphs for each crosssection, or a time series graph of summary statistics for each period.

To display panel graphs for a series in a dated workfile, open the series window, click on View/Graph, and then select one of the graph types, for example Line. EViews will display a dialog offering you a variety of choices for how you wish to display the data.

If you select Stack cross-section data,

EViews will display a single graph of the stacked data, numbered from 1 to the total number of observations.

894—Chapter 28. Working with Panel Data

Alternately, selecting Individual cross-section graphs displays separate time series graphs for each cross-section, while Combined cross-section graphs displays separate lines for each cross-section in a single graph. We caution you that both types of panel graphs may become difficult to read when there are large numbers of cross-sections. For example, the individual graphs for the 10 cross-section panel data depicted here provides information on general trends, but little in the way of detail:

The remaining two options allow you to plot a single graph containing summary statistics for each period.

Basic Panel Analysis—895

For line graphs, you may select Mean plus SD bounds, and then use the drop down menu on the lower right to choose between displaying no bounds, and 1, 2, or 3 standard deviation bounds. For other graph types such as area or spike, you may only display the means of the data by period.

For line graphs you may select Median plus extreme quantiles, and then use the drop down menu to choose additional extreme quantiles to be displayed. For other graph types, only the median may be plotted.

Suppose, for example, that we display a line graph containing the mean and 2 standard deviation bounds for the F series.

EViews computes, for each period, the mean and standard deviation of F across cross-sec- tions, and displays these in a time series graph:

Similarly, we may display a spike graph of the medians of F for each period:

896—Chapter 28. Working with Panel Data

Displaying graph views of a group object in a panel workfile involves similar choices about the handling of the panel structure.

Panel Unit Root Tests

EViews provides convenient tools for computing panel unit root tests. You may compute one or more of the following tests: Levin, Lin and Chu (2002), Breitung (2002), Im, Pesaran and Shin (2003), Fisher-type tests using ADF and PP tests—Maddala and Wu (1999) and Choi (2001), and Hadri (1999).

These tests are described in detail in “Panel Unit Root Tests” beginning on page 530.

To compute the unit root test on a series, simply select

View/Unit Root Test…from the menu of a series object.

By default, EViews will compute a Summary of all of the unit root tests, but you may use the combo box in the upper left hand corner to select an individual test statistic.

In addition, you may use the dialog to specify trend and intercept settings, to specify lag length selection, and to provide

details on the spectral estimation used in computing the test statistic or statistics.

Basic Panel Analysis—897

To begin, we open the F series in our example panel workfile, and accept the defaults to compute the summary of all of the unit root tests on the level of F. The results are given by

Panel unit root test: Summary

Date: 02/01/04 Time: 10:40

Sample: 1935 1954

Exogenous variables: Individual effects

User specified lags at: 1

Newey-West bandwidth selection using Bartlett kernel

Balanced observations for each test

 

 

 

Cross-

 

Method

Statistic

Prob.**

sections

Obs

Null: Unit root (assumes common unit root process)

 

 

Levin, Lin & Chu t*

1.71727

0.9570

10

180

Breitung t-stat

-3.21275

0.0007

10

170

Null: Unit root (assumes individual unit root process)

 

 

Im, Pesaran and Shin W-stat

-0.51923

0.3018

10

180

ADF - Fisher Chi-square

33.1797

0.0322

10

180

PP - Fisher Chi-square

41.9742

0.0028

10

190

Null: No unit root (assumes common unit root process)

 

 

Hadri Z-stat

3.04930

0.0011

10

200

 

 

 

 

 

 

 

 

 

 

** Probabilities for Fisher tests are computed using an asympotic Chi -square distribution. All other tests assume asymptotic normality.

Note that there is a fair amount of disagreement in these results as to whether F has a unit root, even within tests that evaluate the same null hypothesis (e.g., Im, Pesaran and Shin vs. the Fisher ADF and PP tests).

To obtain additional information about intermediate results, we may rerun the panel unit root procedure, this time choosing a specific test statistic. Computing the results for the IPS test, for example, displays (in addition to the previous IPS results) ADF test statistic results for each cross-section in the panel:

898—Chapter 28. Working with Panel Data

Intermediate ADF test results

Cross

 

 

 

 

 

Max

 

section

t-Stat

Prob.

E(t)

E(Var)

Lag

Lag

Obs

1

-2.3596

0.1659

-1.511

0.953

1

1

18

2

-3.6967

0.0138

-1.511

0.953

1

1

18

3

-2.1030

0.2456

-1.511

0.953

1

1

18

4

-3.3293

0.0287

-1.511

0.953

1

1

18

5

0.0597

0.9527

-1.511

0.953

1

1

18

6

1.8743

0.9994

-1.511

0.953

1

1

18

7

-1.8108

0.3636

-1.511

0.953

1

1

18

8

-0.5541

0.8581

-1.511

0.953

1

1

18

9

-1.3223

0.5956

-1.511

0.953

1

1

18

10

-3.4695

0.0218

-1.511

0.953

1

1

18

Average

-1.6711

 

-1.511

0.953

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Estimation

EViews provides sophisticated tools for estimating equations in your panel structured workfile. See Chapter 29, “Panel Estimation”, beginning on page 901 for documentation.

Stacked By-Group Analysis

There are various by-group analysis tools that may be used to perform analysis of panel data. Previously, we considered an example of using by-group tools to examine data in “Cross-section and Period Summaries” on page 887. Standard by-group views may also be to test for equality of means, medians, or variances between groups, or to examine boxplots by cross-section or period.

For example, to compute a test of equality of means for F between firms, simply open the series, then select View/Test for Descriptive Statistics/Equality Tests by Classification....

Enter FN in the Series/Group for Classify edit field, and select OK to continue. EViews will compute and display the results for an ANOVA for F, classifying the data by firm ID. The top portion of the ANOVA results is given by:

Basic Panel Analysis—899

Test for Equality of Means of F

Categorized by values of FN

Date: 02/07/04 Time: 23:33

Sample: 1935 1954

Included observations: 200

Method

df

Value

Probability

 

 

 

 

 

 

 

 

Anova F-statistic

(9, 190)

293.4251

0.0000

 

 

 

 

 

 

 

 

Analysis of Variance

 

 

 

 

 

 

 

 

 

 

 

Source of Variation

df

Sum of Sq.

Mean Sq.

 

 

 

 

 

 

 

 

Between

9

3.21E+08

35640052

Within

190

23077815

121462.2

 

 

 

 

 

 

 

 

Total

199

3.44E+08

1727831.

 

 

 

 

 

 

 

 

Note in this example that we have relatively few cross-sections with moderate numbers of observations in each firm. Data with very large numbers of group identifiers and few observations are not recommended for this type of testing. To test equality of means between periods, call up the dialog and enter either YEAR or DATEID as the series by which you will classify.

A graphical summary of the primary information in the ANOVA may be obtained by displaying boxplots by cross-section or period. For moderate numbers of distinct classifier values, the graphical display may prove informative. Select View/

Descriptive Statistics/Boxplot by Classification... Enter FN in the Series/Group for Classify edit field, and select OK to display the boxplots using the default settings.

Stacked Analysis

A wide range of analyses are available in panel structured workfiles that have not been specifically redesigned to use the panel structure of your data. These tools allow you to

900—Chapter 28. Working with Panel Data

work with and analyze the stacked data, while taking advantage of the support for handling lags and leads in the panel structured workfile.

We may, for example, take our example panel workfile, create a group containing the series C01, F, and the expression I+I(-1), and then select

View/Descriptive Stats/Individual Samples from the group menu. EViews displays the descriptive statistics for the stacked data.

Note that the calculations are performed over the entire 200 observation stacked data, and that the statistics for I+I(-1) use only 190 observations (200 minus 10 observations corre-

sponding to the lag of the first observation for each firm).

Similarly, suppose you wish to perform a hypothesis testing on a single series. Open the window for the series F, and select View/Tests for Descriptive Stats/Simple Hypothesis Tests.... Enter “120” in the edit box for testing the mean value of the stacked series against a null of 120. EViews displays the results of a simple hypothesis test for the mean of the 200 observation stacked data.

While a wide variety of stacked analyses are supported, various views and procedures are not available in panel structured workfiles. You may not, for example, perform seasonal adjustment or estimate VAR or VEC models with the stacked panel.

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