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AVGER

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



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