AVGER
Name
avger
Purpose (one Line)
Temporal averaging of time-series data.
Description
This program was written to perform N point averaging of raw photometry
data. It will work on any temporal data streams or data that has clumpy
independent variable values. The data are grouped together into bin
that are specified by the THRESH input. Thresh specifies the size of a
gap that will cause the group to be broken. The value for thresh is taken
to be a multiple of the 'normal' spacing between points. If THRESH=2,
then any gap twice as long as the previous point spacing will cause a
break. Any number equal to or less than 1 will prevent all averaging.
To prevent too much binning for long uniform data runs, MAXBIN puts an
upper limit on the number of points that can be grouped together and
XSPREAD limits the xspan within a single group.
The THRESH criterion is applied to the data first for grouping,
then MAXBIN and XSPREAD are used simultaneously to break up long
binning strings.
The data are averaged together using a weighted average (see MEANERR).
The uncertainty returned is the standard deviation of the mean.
Category
Numerical
Calling Sequence
pro avger,x,y,err,maxbin,thresh,avgx,avgy,sigy
Inputs
x - Independent variable.
y - Dependent variable.
err - Uncertainty on y in units of standard deviation.
This can be a scalar or a vector but must not be zero.
maxbin - Maximum number of points to average together.
thresh - Gap that will break grouping of data as a fraction of normal.
Optional Input Parameters
Keyword Input Parameters
DATAERR - Output vector of sigma of the mean computed directly
from the scatter in the data. If the number of points
in an output bin is one, then the output error is the
same as the input error.
FORCEIT - 2xN vector, First column is a point number and the second
column is a flag, 0 means force this point to bin, 1 means
force a break at this point. Point numbers outside of
the valid data range are silently ignored. This info
if supplied overrides the breaking controlled by THRESH,
MAXBIN, and XSPREAD allowing a direct modification of
binning for pathalogical cases.
Example
forceit=[[13,0],[14,1],[19,0]]
would force points 13 and 19 to NOT end the binning
and would force point 14 to be the end of a bin.
When using this option, VERBOSE is especially useful.
XSPREAD - maximum range of x allowed in a single averaged point.
(default = no limit).
VERBOSE - Flag, if true will cause a complete printout of how the
vector is being binned.
Outputs
avgx - X value after binning.
avgy - Y value after binning.
sigy - New uncertainty.
Keyword Output Parameters
NPTS - Vector that contains the number of points averaged for each
output point.
GROUP - Vector that matched the length of the input vector. The
value of the vector gives the group number of each data
point. This is built from NPTS.
Common Blocks
Side Effects
Restrictions
The input vectors must have equal length and should be greater in length
than 3. If the vectors are of length 2 or 3, the program will return a
straight average of all input values. Scalar inputs are not allowed and
will generate an error.
Procedure
Modification History
1993/05/11 - Written by Marc W. Buie, Lowell Observatory.
1994/03/21, MWB, modified to output double precision if input is double.
1994/02/25, MWB, added XSPREAD control over binning.
1998/01/16, MWB, added DATAERR keyword
2009/02/12, MWB, fixed error in DATAERR calculation.
2010/12/13, MWB, added NPTS output keyword
2012/01/02, MWB, added GROUP output keyword