Critical Values
The α-level upper critical value of a probability distribution is the value exceeded with probability α, that is, the value xα such that F(xα) = 1 − α where F is the cumulative distribution function. There are standard notations for the upper critical values of some commonly used distributions in statistics:
- zα or z(α) for the Standard normal distribution
- tα,ν or t(α,ν) for the t-distribution with ν degrees of freedom
- or for the chi-squared distribution with ν degrees of freedom
- or F(α,ν1,ν2) for the F-distribution with ν1 and ν2 degrees of freedom
Read more about this topic: Notation In Probability And Statistics
Famous quotes containing the words critical and/or values:
“An audience is never wrong. An individual member of it may be an imbecile, but a thousand imbeciles together in the dark—that is critical genius.”
—Billy Wilder (b. 1906)
“Science has nothing to be ashamed of even in the ruins of Nagasaki. The shame is theirs who appeal to other values than the human imaginative values which science has evolved.”
—Jacob Bronowski (1908–1974)