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:: Home ::Six Sigma ::SIX SIGMA GLOSSARY: Degrees of Freedom :: CURRENT STUDENTS LOGIN

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Degrees of Freedom
 

The number of Degrees of Freedom is the number of independent data values that are used in estimating the value of a population parameter.

The number of degrees of freedom in the standard deviation formula is n-1:

standard deviation

If 'n' were used, instead of 'n-1', the value of 's' would be biased; the standard deviation calculated from small samples would underestimate the population standard deviation.

The number of degrees of freedom is 'n-1' because only 'n-1' of the data values 'xi' are independent; if any 'n-1' are known then the other can be calculated (using x-bar).

 

Analytical and descriptive statistics are covered in the MiC Quality online course Primer in Statistics.

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