Descriptive statistics

Note 2: You might need to make more than one appointment with me or the TAs
to help you with some coding questions. Please make those appointments in advance
Estimating your first model. The purpose of this homework is to write your first draft of sections 2-4
(Max. number of pages : 8 pages of text (excluding graphs, tables and the R code ).

  1. The empirical model and hypothesis.
    (a) Describe your question research in terms of the relationship(s) that you want to evaluate. (4 pts)
    (b) Write down the linear regression model that you plan to estimate. Include a clear definition of
    the dependent variable as well as the definition of the regressors. Describe the expected sign of
    the parameters β. Define also your population of interest. Be careful with the notation (7 points)
  2. Data issues.
    (a) Describe the type of dataset that you are using and data sources. (5 points)
    (b) Create a table to show the following descriptive statistics of the variables that you will use in
    your LRM: Minimum value, maximum, sample mean, sample median, sample standard deviation,
    and number of observations. Please follow this format (or a similar format) and your
    common sense to determine the number of decimal places. (6 points):
    Table 1. Descriptive Statistics
    Variable Variable Variable Variable Variable
    name name name name name
    Minimum
    Maximum
    Mean
    Median
    Standard Deviation
    Number of observations
    There are many functions in R that calculate descriptive statistics. Check the following link to
    learn how to use some of them.
    If you prefer, you can use the R function stargazer() to create a table with descriptive statistics
    and export it into a Word document. I suggest to do some edition later to the table exported
    to Word, so your table look professional. The function requires to install the package stargazer.
    You might need an statement like this1
    1Check all the arguments of this function HERE
    1
    stargazer(mydata, type = ”html”, out = myf ile.doc
    , median = T RUE)
    where mydata is the dataframe that contains ONLY the variables that you want to describe in
    your table. myf ile.doc is the name of the Word document where the table will be exported.
    (c) Describe the variables in the table (e.g. how the variables are defined or constructed, unit of
    measure, etc). Include any problem or relevant issue you observed in the data (e.g. uneven
    number of observations, potential outliers, etc.). Please be clear and precise. (6 points)
    (d) Based on your dependent variable and one (or two) of the regressors of interest, describe the
    relationship between this (these) regressor(s) and the dependent variable by selecting among
    these options : (8 pts):
    i. If your regressors of interest and the dependent variable are quantitative, do a scatter plot.
    Place the dependent variable in the vertical axis and that regressor on the horizontal axis.
    Check this link to learn R functions that creates scatter plot.2
    ii. If your dependent variable is quantitative and one of your regressor of interest is a dummy
    variable, do a box plot. Place the dependent variable in the vertical axis. You can find an
    example of boxplot here.
    iii. If your dependent variable is a dummy variable and one of your regressor of interest is also
    a dummy variable prepare row percentage table. Place the regressor-dummy variable as the
    row variable. You can find an example here.
    Describe the relevant findings that you observe in the graph or table.Based on the visual
    inspection of these graphs or tables, do they suggest a relationship between your
    variable of interest? Explain.

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