# Documentation/Calc Functions/PEARSON

Jump to navigation Jump to search

PEARSON

## Category:

Statistical Analysis

## Summary:

Calculates the sample Pearson correlation coefficient (r) of two data sets.

## Syntax:

PEARSON(Data1; Data2)

## Returns:

Returns a real value which is the sample Pearson correlation coefficient of values in Data1 and Data2. It returns a value in range [-1,1].

## Arguments:

Data1 is a reference to a range of cells which is considered the first data set.

Data2 is a reference to a range of cells which is considered the second data set.

• If a cell contains text, or empty cells, then the function ignores these values. However for logical values, TRUE is considerd as 1 and FALSE as 0.
• If Data1 and Data2 have different numbers of data points then the function returns an error value.

## Additional details:

• The formula for PEARSON is:

r =

where x̄ and ӯ are mean values.

• CORREL and PEARSON functions perform the same operation.
• For more details on the sample Pearson correlation coefficient, visit Wikipedia.

## Examples:

Data1 Data2
1 195 200
2 151 180
3 148 178
4 189 165
5 183 192
6 154 144
Formula Description Returns
=PEARSON(A1:A6;B1:B6) The function calculates the Pearson correlation coefficient of the two data sets, Data1 and Data2.

0.46706598573232

PEARSON