{smcl}
{* 27apr2004}{...}
{hline}
help for {hi:circylowess}
{hline}

{title:Smoothing including lowess for circular data, y variable circular} 

{p 8 17 2} 
{cmd:circylowess}
{it:yvar xvar}
[{cmd:if} {it:exp}] 
[{cmd:in} {it:range}]
[ 
{cmd:,}
{cmdab:g:enerate(}{it:newvar}{cmd:)}
{cmd:lowess(}{it:lowess_options}{cmd:)}
{cmd:scatter(}{it:scatter_options}{cmd:)}
{cmd:plot(}{it:plot}{cmd:)}
] 


{title:Description} 

{p 4 4 2} 
{cmd:circylowess} carries out smoothing (including lowess) of a circular {it:y}
variable {it:yvar} (specified first in the {it:varlist}) with respect to some
non-circular {it:x} variable {it:xvar}. {it:yvar} should take on values between
0 and 360 degrees. The smoothed result is

{p 8 8 2}arctan(smoothed sine of {it:yvar} / smoothed cosine of {it:yvar})

{p 4 4 2}and the kind and degree of smoothing are specified by invoking options
of {cmd:lowess}. {cmd:circscatter} is used to show the results graphically.


{title:Options} 

{p 4 8 2}{cmd:generate()} specifies a new variable to be generated containing
the results of smoothing.

{p 4 8 2}{cmd:lowess()} specifies options allowed with 
{help lowess}. The following are relevant: {cmd:mean}, 
{cmd:noweight}, {cmd:bwidth()}, {cmd:logit} and {cmd:adjust}.  

{p 4 8 2}{cmd:scatter()} specifies options allowed with 
{help circscatter}.

{p 4 8 2}
{cmd:plot(}{it:plot}{cmd:)} provides a way to add other plots to the generated
graph; see help {help plot_option}.
 

{title:Examples} 

{p 4 8 2}{cmd:. circylowess wallasp length, gen(lowess) scatter(yla(,ang(h)))} 


{title:Author} 

{p 4 4 2}Nicholas J. Cox, University of Durham, U.K.{break} 
         n.j.cox@durham.ac.uk


{title:Also see} 

{p 4 13 2} 
On-line: help for {help lowess}, {help circscatter}, {help circxlowess}