{smcl}
{* Help for -scdcor- version 1.0.1 4April2012, Joerg Luedicke}{...}
{hline}
help {hi:scdcor}
{hline}

{title:Plot original and corrected self-consistent density estimates}


{title:Syntax}

{p 8 17 2}
{cmd:scdcor} {varname} {ifin} 
[
{cmd:,}  
{opt add:kde(kernel)}
{opt bw(#)}
{opt n(#)}
{opt r:ange(# #)}
{opt ex:pand}
{opt gtd}
{opt tol:erance(#)}
{opt ini:tial(#)}
{opt inter:val(#)}
{cmdab:cline1:opts(}{it:{help cline_options}}{cmd:)}
{cmdab:cline2:opts(}{it:{help cline_options}}{cmd:)}
{cmdab:cline3:opts(}{it:{help cline_options}}{cmd:)}
{it:{help twoway_options}}
]  


{title:Description}

{p 4 4 2}
{cmd:scdcor} is a convenience wrapper for {cmd:scdensity} and plots original
and corrected density estimates, overlaid in one graph. Optionally, a kernel 
density estimate can be added to the graph. The number of grid points and the 
evaluation grid of the kernel estimate will be the same as for the self-consistent 
estimate. Kernel density estimates are performed with {cmd:kdens} (Jann 2005a).


{title:Options} 

{dlgtab:Main}

{p 4 8 2}{cmd:n(}#{cmd:)} Number of grid points to be used at which the density 
is evaluated. If the number of data points is greater than N=1,000, the number 
of grid points defaults to n=1,000. If the number of data points is lower than 
N=1,000, the number of grid points defaults to n=N. If a number larger than the 
actual sample size is requested, n is set to N.
  
{p 4 8 2}{cmdab:r:ange(}# #{cmd:)} Defines the grid range at which the density 
is to be evaluated. Per default, the endpoints of the evaluation grid are 
determined by the minimum and maximum value of the actual data points and 
the {cmdab:r:ange()} option can be used to change this default behavior.
The input of two numbers is required with the first one being the minimum 
and the second one being the maximum of the range.
 
{p 4 8 2}{cmdab:ex:pand} Expands the evaluation grid as a function of sample size 
(see {help scdensity} for details). The default grid range is determined by the 
endpoints of the data range.
 
{p 4 8 2}{cmd:gtd} Use the alternative algorithm to find {it:z}. 
See {help scdensity} for further details about this and the 
default algorithm.

{p 4 8 2}{cmdab:tol:erance(}#{cmd:)} Change the default tolerance.

{p 4 8 2}{cmdab:ini:tial(}#{cmd:)} Change the initial value of {it:xi} at which the search is started.

{p 4 8 2}{cmdab:inter:val(}#{cmd:)} Change the default search interval.


{dlgtab:Kernel density}

{p 4 8 2}{cmdab:add:kde(}{it:kernel}{cmd:)} Add kernel estimate. {it:kernel} can be any type 
of kernel that is supported by {help kdens}. The evaluation grid is the same as for the 
self-consistent estimate (i.e., range and number of grid points).

{p 4 8 2}{cmd:bw(}#|{it:type}{cmd:)} Smoothing parameter for the kernel estimate,
which either needs to be a positive real number or one of {help kdens}' automatic 
bandwidth selectors. Defaults to {cmdab:s:ilverman}.


{dlgtab:Graph options}

{p 4 8 2}{cmdab:cline1:opts} {it:{help cline_options}} for the original self-consistent
density estimate.

{p 4 8 2}{cmdab:cline2:opts} {it:{help cline_options}} for the corrected self-consistent
density estimate.

{p 4 8 2}{cmdab:cline3:opts} {it:{help cline_options}} for the kernel density estimate.

{p 4 8 2}{it:{help twoway_options}} Any options other than {opt by()} 
documented in {bind:{bf:[G] {it:twoway_options}}}.


{title:Dependencies}

{p 4 8 2}
{cmd:scdcor} requires Stata version 9.2 or higher and {cmd:moremata} (Jann 2005b), 
available from SSC. Type -ssc install moremata- in Stata to obtain it. Also, if 
the added kernel functionality wants to be used, Ben Jann's (2005a) {cmd:kdens} package
needs to be installed, also available from SSC (-ssc install kdens-).


{title:Examples}

{p 4 8 2}{inp:. webuse head}

{p 4 8 2}{inp:. scdcor jaw, ex}

{p 4 8 2}{inp:. scdcor jaw, ex add(gauss) bw(sjpi) cline1(lpattern(dash) lwidth(.6)) cline2(lwidth(.5)) cline3(lpattern(dot) lcolor(gs1)) ylabel(, angle(0)) ytitle(f(x))}


{title:References} 

{p 4 4 2}
Jann, B. (2005a). KDENS: Stata module for univariate kernel density estimation, 
{it:Statistical Software Components S456410, Boston College Department of Economics},
revised 26 May 2008.

{p 4 4 2}
Jann, B. (2005b). MOREMATA: Stata module (Mata) to provide various functions, 
{it:Statistical Software Components S455001, Boston College Department of Economics},
revised 19 Feb 2009.


{title:Author}

{p 4 4 2}Joerg Luedicke{break}
Yale University and University of Florida{break}
United States{break} 
email: joerg.luedicke@ufl.edu


{title:Also see}

{p 4 13 2}Help {help scdensity}, {help kdensity}, {help kdens} (if installed)