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This module provides an overview of Chi-Square Distribution Notation as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

The notation for the chi-square distribution is:

χ 2 ~ χ df 2

where df = degrees of freedom depend on how chi-square is being used. (If you want to practice calculating chi-square probabilities then use df = n - 1 . The degrees of freedom for the three major uses are each calculated differently.)

For the χ 2 distribution, the population mean is μ = df and the population standard deviation is σ = 2 df .

The random variable is shown as χ 2 but may be any upper case letter.

The random variable for a chi-square distribution with k degrees of freedom is the sum of k independent, squared standard normal variables.

χ 2 = ( Z 1 ) 2 + ( Z 2 ) 2 + ... + ( Z k ) 2

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Source:  OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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