{smcl}
{* 6may2004}{...}
{hline}
help for {hi:circcentre}
{hline}

{title:Centring circular data}

{p 8 17 2}
{cmd:circcentre}
{it:varname}
[{cmd:if} {it:exp}]
[{cmd:in} {it:range}]
{cmd:,}
{cmdab:g:enerate(}{it:newvar}{cmd:)}
[{cmdab:c:entre(}{it:centre}{cmd:)}
{cmd:sine} 
]


{title:Description}

{p 4 4 2}{cmd:circcentre} takes {it:varname}, a circular variable between 0 and
360 degrees, and produces a new variable {it:newvar} centring {it:varname} on
the direction(s) given by {cmd:centre()}. If {cmd:centre()} is not specified,
{cmd:circcentre} looks for a vector mean left behind by {help circsummarize} as
{cmd:r(vecmean)}.  {it:newvar} varies from -180 degrees to 180 degrees, with
centre at 0 degrees.


{title:Options}

{p 4 8 2}{cmd:generate()} specifies the name of the new variable and is not
optional.

{p 4 8 2}{cmd:centre()} specifies the direction(s) which correspond to the
centre(s) of {it:newvar}. Possibilities are various constants or the name of a
variable containing one or more directions.

{p 4 8 2}{cmd:sine} specifies that the new variable be expressed on a sine 
scale, precisely as sine of ({it:varname} - centre) / 2. This transformation 
pulls in the tails and pushes out the middle of the distribution. For examples
of this transformation, see Fisher (1993). 


{title:Examples}

{p 4 8 2}{cmd:. circsummarize wallasp}{p_end}
{p 4 8 2}{cmd:. circcentre wallasp, gen(wallasp2)}{p_end}
{p 4 8 2}{cmd:. circcentre wallasp, gen(wallasp3) centre(45)}

{p 4 8 2}{cmd:. circcentre orient, gen(relflow) centre(iceflow)} 


{title:Author}

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


{title:References}

{p 4 8 2}Fisher, N.I. 1993. {it:Statistical analysis of circular data.} 
Cambridge: Cambridge University Press.


{title:Also see}

{p 4 13 2}
On-line:  help for {help circdiff}, {help circsummarize}