This page will calculate r
_{s} , the Spearman rankorder correlation coefficient, for a bivariate set of paired XY rankings.
[Technical Note].
Data Entry
If your values of X and Y have already been ranked, these ranks can be entered directly into the cells headed by the label 'Ranks.' In this case, please note that the sums of ranks for X and Y must both be equal
to [n(n+1)]/2. If this equality is not satisfied, you will receive a message asking you to examine your data entry for errors.
If your values of X and Y have not yet been rankordered, they can be entered into the cells labeled 'Raw Data' and the ranking will be performed automatically. Note, however, that the rankordering process is computationally intensive and might take a while, depending on the speed of your computer. Because the time required for rankordering increases exponentially as a function of sample size, this calculator is not recommended for cases where the number of XY pairs is greater than about N=40. If you use it with samples larger than this, be prepared to wait a moment.
Raw data can also be imported via the 'Data Import' box. When importing data from a spreadsheet, the paired values of X and Y must be in the form of two adjacent columns. Within the spreadsheet application, select and copy the two columns of data. Then return to this page, click the cursor into the dataimport box and perform the 'Paste' operation.
Make sure that the final line in the dataimport box is not followed by a carriage return. (An extra carriage return at the end of the list will be interpreted as an extra data entry whose value is zero. Importing data via the copy and paste procedure will almost always produce an extra carriage return at the end of a column.) After the bivariate list has been pasted into the dataimport box, click the cursor immediately to the right of the final entry in the list, then press the downarrow key. If an extra line is present, the cursor will move downward. Extra lines can be removed by pressing the down arrow key until the cursor no longer moves, and then pressing the 'Backspace' key (on a Mac platform, 'delete') until the cursor stands immediately to the right of the final entry.
After verifying that there is no extra line in the dataimport box, click the button labeled «Import Raw Data».
After data have been entered, click one or the other of the «Calculate» buttons according to whether you are starting out with ranks or raw data.
If you wish to perform another analysis with a different set of data: click the «Reset» button if the value
of n for the new set of data is exactly
; click the Reload or Refresh button of your browser if the value of n is greater or smaller than .
Data Entry_{Q}
 Ranks for 

Raw Data for 

Data Import 
pairs 
X 
Y 
X 
Y 









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©Richard Lowry 2001
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