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Describe the dataset, providing the main descriptive statistics for panel data and also replying

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The paper aimed at providing further empirical evidence to the economic model of crime already present in the literature. The dataset collects information on a set of variables relating to a sample of 90 counties of North Caroline for the period 1981-1987.

Using panel data techniques, estimate the following equation model:

lcrmerte¿= β0+ β1 lprbarr¿+ β2 lprbconv¿+ β3 lprbpris¿+ β4 lavgsen¿+ β5 lpolpc¿+ β6 ldensity¿+ β7 lpctymle¿+ β8 lpctm

 i=1,…..,N; t=1,…..,T                                     (1)

 where the variables are described in the following table:

county

county identifier

year

81 to 87

crmrte

crimes committed per person

prbarr

'probability' of arrest

prbconv

'probability' of conviction

prbpris

'probability' of prison sentence

avgsen

avg. sentence, days

polpc

police per capita

density

people per sq. mile

west

=1 if in western N.C.

central

=1 if in central N.C.

urban

=1 if in SMSA

pctmin80

perc. minority, 1980

wcon

weekly wage, construction

wtuc

wkly wge, trns, util, commun

wtrd

wkly wge, whlesle, retail trade

wfir

wkly wge, fin, ins, real est

wser

wkly wge, service industry

wmfg

wkly wge, manufacturing

wfed

wkly wge, fed employees

wsta

wkly wge, state employees

wloc

wkly wge, local gov emps

pctymle

percent young male

 (Notice that you need to transform the variables in logarithm).

(1) Describe the dataset, providing the main descriptive statistics for panel data and also replying to the following questions:

1.1.  How many observations are there in the dataset? Answer:

1.2.  Determine how many different counties there are in the dataset. Answer: 

1.3.  Determine how many years there are in the dataset. Answer:

 1.4 Is the panel balanced or unbalanced? Why? Answer: 

1.5.  What are time invariant variables? What are time-variant variables? Answer: 

1.6.  Describes the variables according to their mean and their variability (compare the within, between, and overall variability)

Answer:

(2)  Estimate the equation by pooled OLS and report the results. 

(2.1) What are the statistical significant variables? (at the 10% significant level)

Answer: 

(2.2) What are the estimated coefficient of lprbarr (β1) and lpolpc (β5 ¿). If they are statistically significant, interpret the results.

Answer: 

(3)  Now estimate the equation using fixed effects.

(3.1) What are the statistical significant variables? (at the 10% significant level)

Answer:

(3.2) What are the estimated coefficient of lprbarr (β1) and lpolpc (β5 ¿). If they are statistically significant, interpret the results.

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