Circular Statistics

Circular variables, which indicate direction or cyclicalsaw in consulting compared the distance and direction
time, can be of great interest to biologists,flown by male moths in comparison to unmated and
geographers, and social scientists. The definingmated female moths under different weather
characteristic of circular variables is that the beginningconditions. Another compared the direction and
and end of their scales meet. For example, compassdistance traveled by beetles under two different
direction is often defined with true North at 0 degrees,conditions of crowding. Other examples include
but it is also at 360 degrees, the other end of themeasures of wind and water flow direction to
scale. A direction of 5 degrees is much closer to 355understand the movement of pollutants and the timing
degrees than it is to 40 degrees. Likewise, times thatof events within a cycle, such as the when the number
represent cycles, such as times of day (bestof heart attacks peaks within a week or how body
expressed on a 24 hour clock), day in a reproductivetemperature fluctuates over a day. Note that time can
cycle, or month of a year are also circular. January,be considered either circular or linear. Time is circular
month 1 is closer to December, month 12, than it is towhen it measures part of a cycle, such as the timing
June, month 6.of a daily event. It is linear when it measures length of
Examples of circular variables are abundant in biology,time, such as the number of days since an event.
geography, and the social sciences. One experiment I