This article describes the formula syntax and usage of the PEARSON function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.
Returns the Pearson product moment correlation coefficient, r, a dimensionless index that ranges from -1.0 to 1.0 inclusive and reflects the extent of a linear relationship between two data sets.
The PEARSON function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):
- Array1 Required. A set of independent values.
- Array2 Required. A set of dependent values.
- The arguments must be either numbers or names, array constants, or references that contain numbers.
- If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
- If array1 and array2 are empty or have a different number of data points, PEARSON returns the #N/A error value.
- The formula for the Pearson product moment correlation coefficient, r, is:
where x and y are the sample means AVERAGE(array1) and AVERAGE(array2).
The example may be easier to understand if you copy it to a blank worksheet.
How do I copy an example?
- Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.
Selecting an example from Help
- Press CTRL+C.
- Create a blank workbook or worksheet.
- In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
- To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
After you copy the example to a blank worksheet, you can adapt it to suit your needs.
||Pearson product moment correlation coefficient for the data sets above (0.699379)