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Using JMP - SAS

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400 Formula Functions Reference Appendix B<br />

Transcendental Functions<br />

Squish<br />

Is an efficient computation of the function 1 / (1+e -x ), where x is any numeric column, variable, or<br />

expression.<br />

Root<br />

Calculates the root of its argument as specified by the index. Root initially shows with an index of 2. To<br />

change the index, highlight the index argument and enter the value that you want.<br />

Factorial<br />

Returns the product of all numbers 1 through the argument that you specify. For example, Factorial(5)<br />

evaluates as 120.<br />

NChooseK<br />

Returns the number of n things taken k at a time (n select k) and is computed in the standard way using<br />

factorials, as n! / (k!(n – k)!). For example, NChooseK(5,2) evaluates as 10.<br />

NChooseK Matrix<br />

Returns a matrix of n things taken k at a time (n select k)<br />

Beta<br />

Adds the two parameter Beta function and is written terms of the Gamma function as:<br />

Bmn) ( , )<br />

=<br />

Γ( m)Γ( n)<br />

------------------------<br />

Γ( m + n)<br />

Gamma<br />

Adds the Gamma function, denoted Γ(i), and is defined as:<br />

∞<br />

Γ() i = ( x i – 1 )( e – x )dx<br />

0<br />

Gamma with a single argument is the same as Gamma(x, infinity). The optional second argument changes<br />

the upper integer from infinity to the value that you enter. Other interesting gamma function relationships<br />

are<br />

• for any α > 1, Γ(α) = (α–1) • Γ(α–1)<br />

• for any positive integer, n, Γ(n) = (n-1)!<br />

• Γ(0.5) = the square root of π

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