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:
“Probably more than youngsters at any age, early adolescents expect the adults they care about to demonstrate the virtues they want demonstrated. They also tend to expect adults they admire to be absolutely perfect. When adults disappoint them, they can be critical and intolerant.”
—The Lions Clubs International and the Quest Nation. The Surprising Years, I, ch.4 (1985)
“Individually, museums are fine institutions, dedicated to the high values of preservation, education and truth; collectively, their growth in numbers points to the imaginative death of this country.”
—Robert Hewison (b. 1943)