Using JMP - SAS

430 Formula Functions Reference Appendix B
Random Functions
Product (Π)
Evaluates for an explicit range of values in a column, as given by the summation indices, as opposed to all
other statistical functions (except Summation), which always evaluate on every row. Product uses the
notation shown in the formulas on the right in Figure B.13. To calculate a product, replace the missing
body term with an expression containing the index variable j. Product repeatedly evaluates the expression
for i = 1, i = 2, through i = n and multiplies the nonmissing results together to determine the final result.
You can replace NRow(), the number of rows in the active spreadsheet and the index constant, i, with any
expression appropriate for your formula.
For example, the expression second product example in Figure B.13 calculates i! (each row number’s
factorial).
Figure B.13 Examples of the Product Function
Minimum and Maximum
Return the minimum and maximum value, respectively, from the list of nonmissing arguments that you
specify.
N Missing
Counts the number of missing values in the list of arguments that you specify.
Desirability
Are smooth piecewise functions that are crafted to fit the control points. The minimize and maximize
functions are three-part piecewise smooth functions that have exponential tails and a cubic middle.
The target function is a piecewise function. It is a scale multiple of a normal density on either side of the
target (with different curves on each side), which is also piecewise smooth and fit to the control points.
Random Functions
You can create formulas that generate real numbers by effectively “rolling the dice” within the constraints of
the specified distribution. Each time you click Apply in the Formula Editor window, these functions
produce a new set of random numbers.
Note: Random numbers are generated using the Mersenne-Twister technique. This technique has a period
length of 2 19937 -1. For details about the generators, see Matsumoto and Nishimura (1998). The new
generators are verified to pass all the DIEHARD tests as documented in Marshalled (1996).