Weighted Mean of multiple experiments.

 This function is for finding the weighted mean (by error) of multiple experiments. It requires that input files are of equal length and scaling. There should be two sets of 1Dwaves already open (perhaps in a table): waves containing actual data points, and waves containing the experimental errors for those points. Each set of waves should have an original base name followed by some alphabetic or numeric iteration, for example 3 experiments with data files data0, data1, and data2, and corresponding error files st_dev0, st_dev1, and st_dev3.

The base names are used as input: function("data","st_dev"), and the program will return the number of experiments it finds (it searches all currently open waves!), as well as printing the files in case errant waves are included. Final output is in the form of the weighted means of each row of points, and the error on those means. 

#pragma rtGlobals=1     // Use modern global access method.
function weighted(data_name,error_name)
string data_name,error_name // names of the base files to be averaged
string data_handles = WaveList(data_name+"*",";","") // finds and lists names of data waves
string error_handles = WaveList(error_name+"*",";","") // finds and lists names of error waves
 
variable i=0// iteration variable
variable n = ItemsInLIst(data_handles) // number of experiments to be averaged
print n, "experiments will be averaged."
variable j = numpnts($stringfromlist(0,data_handles)) // length of input,output waves. input waves must be of equal length.
 
make/o/d/n=(j) numerator=0, denominator=0 // for building the final waves (see loop math)
make/o/d/n=(j) weighted_mean, weighted_error, h_data, h_error
    for(i=0;i<=(n-1);i+=1)  // Initialize variables;continue test
        wave h_data = $stringfromlist(i,data_handles)
        wave h_error = $stringfromlist(i,error_handles)
        print h_data
        print h_error
        numerator = numerator + (h_data / ((h_error)^2))
        denominator = denominator + 1/((h_error)^2)
 
    endfor                                              // Execute body code until continue test is FALSE
weighted_mean=numerator/denominator
appendtotable weighted_mean
weighted_error=sqrt(1/denominator)
appendtotable weighted_error
 
 
end


beginner programmer here, so feel free to patch things up or point out improvements..

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