Statistics`MovingAverage`
=========================

Given a list of data, you can calculate means for subsets of the
data.  MovingAverage gives such means repetitively for subsequent
subsets of a determined length.  The first moving average takes
subsets of length 2, the second takes subsets of length 3, and so
forth.  The result of the r moving average is a list of n - r means,
each calculated with r + 1 elements, where n is the length of the
list.


  MovingAverage[list, r]   give a list of the r^th moving averages          
                                                                              
  MovingAverage[{list_1, list_2, ...}, r]   give the lists of the r^th 
			     moving averages for the columns of the 
			     matrix formed by the given lists 


                        ^^Moving average functions^^


This loads the package.

     In[1]:= <<Statistics`MovingAverage`
     


Here is a data set where the data points are represented by symbols.

     In[2]:= data = {a, b, c, d, e, f}

     Out[2]= {a, b, c, d, e, f}
     


This is the second moving average.

     In[3]:= MovingAverage[data,2]

              a + b + c  b + c + d  c + d + e  d + e + f
     Out[3]= {---------, ---------, ---------, ---------}
                  3          3          3          3
     


You can use a matrix of data as an argument for MovingAverage to
get lists of the r moving averages corresponding to subsets from
each column of data.



This is a new set of data in the form of a matrix.

     In[4]:= data = {{a,b,c},{d,e,f},{g,h,i}}

     Out[4]= {{a, b, c}, {d, e, f}, {g, h, i}}
     


Here are the first moving averages.  The first list includes the
means from the first subset for each column.  The second subsets
are averaged in the second list.

     In[5]:= MovingAverage[data,1]

               a + d  b + e  c + f
     Out[5]= {{-----, -----, -----}, 
                 2      2      2
      
               d + g  e + h  f + i
              {-----, -----, -----}}
                 2      2      2