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SPSS AND REGRESSION ANALYSIS
Using SPSS
1. Once you’ve accessed the SPSS data editor in the course folder, you can begin
adding data that pertain to your model.
2. To Enter Data:
a. Click on the Variable View position at the bottom of the screen.
b. Click on the name column for that row (row 11 is the first entry row open)
and write in an 8-character name for your variable.
c. Click back to the Data View position and start entering the data for each
year for which you have values. (In some cases you may have found data
for variables that you believe have influence on your dependent variable
but the data are only available for some of the years from 1960 to 2000.
That is all right. You can just run the model for those years when you
include that variable. You do this by going to the “select” function in the
data button on the menu commands row at the very top of the screen and
setting the “if” window to read years > 1974 (for example, if you only
have data for those years for a particular variable). The program will then
show all the rows for years before 1974 crossed out. When you run the
program it will only include the data for years after 1974 so there will be
no missing data problem.
3. Run the regression equation:
a. Click on analyze on the menu command row at the top of the screen, then
regression, then linear.
b. Move the dependent variable into its position by highlighting it and
clicking on the arrow key next to the dependent window.
c. Move the independent variables into the independent window in the same
way (you can move these in and out by highlighting them – the arrow will
always point in the right direction).
d. Just below the independent window, there is a drop-down window entitled
method. You can open that and select forward (you have to scroll down to
see it) if you want only to include variables that have a level of
significance exceeding .05. We will discuss this below under interpreting
your results.
e. Click on next or continue and the regression function will run.
Note: Once you’ve entered data, you may want to look at descriptive statistics and a
graph for each variable. You can do this by using the analyze button and click on
descriptive and run that function (you’ll get a lot of stuff – you’re interested in the
mean, the median, the minimum and the maximum). Then go to the graphs button,
choose line or scatterplot and position each variable into the Y axis window and the
years variable into the X axis window. Run the graph and print it or save it. This
gives you an eyeball estimate of how the variable has changed over the years. You
can also graph each pair of other variables against each other on a graph to determine
by eyeball if there is a pattern to their relationship before you run any regression.
4. Interpreting your results:
a. Once you have run the regression you’ll be shown the results in tables
with the titles, variables entered/removed, Model Summary, ANOVA,
Coefficients and Excluded Variables. For our purposes you’re not
interested in ANOVA.
b. The Model Summary gives you the Adjusted R Square (R2
). If it’s
above .250 you should be interested. The rough interpretation of that is
that 25 percent of the variation in the dependent variable can be explained
by variation(s) in the independent variable(s). That’s not great but you’re
getting there.
c. Next look at the Coefficients table. This takes the equation form Y = a +
b1X1 + b2X2 - b3X3 where Y is the dependent variable, a is a constant, the
bs are the beta coefficients that indicate the degree of influence the
corresponding independent variable has on variations in the dependent
variable (the higher the value of b the more influential the independent
variable) and the sign (pos., neg.) indicates the nature of the relationship
(whether the independent variable and the dependent variable move
together or in opposite directions). The Xs are the independent variables.
Don’t worry about the t statistic column but look at the sig. column. The
significant levels should all be below .05 which means that there is only a
5 percent probability that the independent variable does not influence the
dependent variable in the reported fashion (for example, negatively and
with a certain beta coefficient value). So, assuming a beta coefficient of - .
520 for a particular X is statistically significant (Sig. < .05) we can
conclude that the value of the Y variable will be determined by the value
of X and by changes in the value of X accordingly. So, for every one unit
change in X, Y will change by -.520X.
d. First, does the sign of the beta coefficient make theoretical sense? If you
believe (rightly) that a rise in government spending, everything else
unchanged, will cause a fall in unemployment and you find the beta
coefficient for government spending has a positive sign, then something is
fishy. Your results do not make sense. You might continue to play around
with adjusting the nature of the variables. You might create a new variable
that relates the change in unemployment (or unemployment rate) with the
change in government spending, or exclude some years when you think
there may have been an anomalous relationship between the two variables
because of some exogenous shock (oil prices, war etc). Be creative in your
choice of variables. For example, does the change in prison population,
military enlistment or college enrollments have an impact on the
unemployment rate? Keep thinking.
5. Finding Data
a. Here is the most difficult challenge. Is the data you want even available or
available in the right form? This is a problem for all researchers. Again
being creative is important. If you cannot find continuous data (a value for
each year), then create a dummy variable (0, 1) in which the variable takes
on a value of 0 if the value of the variable is above or below a particular
level or if something does or does not exist (e.g., if the party in the White
House is Republican or not; or if we’re at war or not, etc.)
b. Search in my cool sites webpage. Look in the economic report of the
President. Put in the search window the name of the variable you are
looking for and go to the tables (the initial locations will be in the
narrative of the report and you’re not interested in that for now) which will
be toward the bottom of the list of occurrences of that name. Look in the
RFE website (Resources For Economists) and then in the Data section and
then stroll through the Bureau of Labor Statistics, the Bureau of Economic
Analysis and the Organization of Economic Cooperation and
Development (OECD) sites for useful data.
c. Above all think whether or not these data might have a reasonable
influence on the dependent variable and in what direction (negative or
positive). Add the data to a column in the data editor and go to it. Just
keep trucking and contacting me by e-mail or phone.

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Spss & regression analysis

  • 1. SPSS AND REGRESSION ANALYSIS Using SPSS 1. Once you’ve accessed the SPSS data editor in the course folder, you can begin adding data that pertain to your model. 2. To Enter Data: a. Click on the Variable View position at the bottom of the screen. b. Click on the name column for that row (row 11 is the first entry row open) and write in an 8-character name for your variable. c. Click back to the Data View position and start entering the data for each year for which you have values. (In some cases you may have found data for variables that you believe have influence on your dependent variable but the data are only available for some of the years from 1960 to 2000. That is all right. You can just run the model for those years when you include that variable. You do this by going to the “select” function in the data button on the menu commands row at the very top of the screen and setting the “if” window to read years > 1974 (for example, if you only have data for those years for a particular variable). The program will then show all the rows for years before 1974 crossed out. When you run the program it will only include the data for years after 1974 so there will be no missing data problem. 3. Run the regression equation: a. Click on analyze on the menu command row at the top of the screen, then regression, then linear. b. Move the dependent variable into its position by highlighting it and clicking on the arrow key next to the dependent window. c. Move the independent variables into the independent window in the same way (you can move these in and out by highlighting them – the arrow will always point in the right direction). d. Just below the independent window, there is a drop-down window entitled method. You can open that and select forward (you have to scroll down to see it) if you want only to include variables that have a level of significance exceeding .05. We will discuss this below under interpreting your results. e. Click on next or continue and the regression function will run. Note: Once you’ve entered data, you may want to look at descriptive statistics and a graph for each variable. You can do this by using the analyze button and click on descriptive and run that function (you’ll get a lot of stuff – you’re interested in the mean, the median, the minimum and the maximum). Then go to the graphs button, choose line or scatterplot and position each variable into the Y axis window and the years variable into the X axis window. Run the graph and print it or save it. This gives you an eyeball estimate of how the variable has changed over the years. You can also graph each pair of other variables against each other on a graph to determine by eyeball if there is a pattern to their relationship before you run any regression.
  • 2. 4. Interpreting your results: a. Once you have run the regression you’ll be shown the results in tables with the titles, variables entered/removed, Model Summary, ANOVA, Coefficients and Excluded Variables. For our purposes you’re not interested in ANOVA. b. The Model Summary gives you the Adjusted R Square (R2 ). If it’s above .250 you should be interested. The rough interpretation of that is that 25 percent of the variation in the dependent variable can be explained by variation(s) in the independent variable(s). That’s not great but you’re getting there. c. Next look at the Coefficients table. This takes the equation form Y = a + b1X1 + b2X2 - b3X3 where Y is the dependent variable, a is a constant, the bs are the beta coefficients that indicate the degree of influence the corresponding independent variable has on variations in the dependent variable (the higher the value of b the more influential the independent variable) and the sign (pos., neg.) indicates the nature of the relationship (whether the independent variable and the dependent variable move together or in opposite directions). The Xs are the independent variables. Don’t worry about the t statistic column but look at the sig. column. The significant levels should all be below .05 which means that there is only a 5 percent probability that the independent variable does not influence the dependent variable in the reported fashion (for example, negatively and with a certain beta coefficient value). So, assuming a beta coefficient of - . 520 for a particular X is statistically significant (Sig. < .05) we can conclude that the value of the Y variable will be determined by the value of X and by changes in the value of X accordingly. So, for every one unit change in X, Y will change by -.520X. d. First, does the sign of the beta coefficient make theoretical sense? If you believe (rightly) that a rise in government spending, everything else unchanged, will cause a fall in unemployment and you find the beta coefficient for government spending has a positive sign, then something is fishy. Your results do not make sense. You might continue to play around with adjusting the nature of the variables. You might create a new variable that relates the change in unemployment (or unemployment rate) with the change in government spending, or exclude some years when you think there may have been an anomalous relationship between the two variables because of some exogenous shock (oil prices, war etc). Be creative in your choice of variables. For example, does the change in prison population, military enlistment or college enrollments have an impact on the unemployment rate? Keep thinking. 5. Finding Data a. Here is the most difficult challenge. Is the data you want even available or available in the right form? This is a problem for all researchers. Again being creative is important. If you cannot find continuous data (a value for
  • 3. each year), then create a dummy variable (0, 1) in which the variable takes on a value of 0 if the value of the variable is above or below a particular level or if something does or does not exist (e.g., if the party in the White House is Republican or not; or if we’re at war or not, etc.) b. Search in my cool sites webpage. Look in the economic report of the President. Put in the search window the name of the variable you are looking for and go to the tables (the initial locations will be in the narrative of the report and you’re not interested in that for now) which will be toward the bottom of the list of occurrences of that name. Look in the RFE website (Resources For Economists) and then in the Data section and then stroll through the Bureau of Labor Statistics, the Bureau of Economic Analysis and the Organization of Economic Cooperation and Development (OECD) sites for useful data. c. Above all think whether or not these data might have a reasonable influence on the dependent variable and in what direction (negative or positive). Add the data to a column in the data editor and go to it. Just keep trucking and contacting me by e-mail or phone.