QSR Function Definitions


Median Ranks 
The Median Ranks function returns any median rank. The two inputs required are the sample size and the order number. All inputs should be put in their respective input boxes as specified by the current window. The median rank returned is obtained by solving for the following equation for Z,

medianranks.gif

Where is the sample size, and j is the order number.


Other Ranks
The Other Ranks function is similar to the Median Ranks function, but it allows you to get a rank at any percentage point instead of only at the 50% point.

The rank can be found for any percentage point, P, greater than zero and less than one, by solving the following equation for Z,

otherranks.gif

where N is the sample size and j is the order number.


Standard Normal Tables
The Standard Normal Tables function is defined by,

standardnormal.gif

The only input is x.


Inverse Standard Normal Tables
The Inverse Standard Normal Tables function is defined by:

standardnormal.gif

The required input is t.


Cumulative Poisson
The Cumulative Poisson function returns values for the cumulative Poisson distribution, as defined next,

cpoisson.gif

where the required inputs are RSQSR100090000.gif and the upper bound on the summation, n.


Cumulative Binomial Probability
The Cumulative Binomial Probability returns values for the cumulative binomial probability, as defined next,

cbp.gif

where the required inputs are the starting and ending points of the summation, k and n, and the percentile, P.


F-Distribution Values
The F-Distribution function returns the value of Qequation.gif as defined next,

fdist..gif

For (F ³ 0), and B representing the beta function. The required inputs are the value of F and the two degrees of freedom, n1.gif and n2.gif.


Inverse F-Distribution Value
The Inverse F-Distribution function returns values as defined for the F-Distribution.

inversef.gif

The required inputs are Qequation.gif, n1.gif and n2.gif.


Chi-Square Values
The Chi-Square Probability function returns values as defined next,

chi square.gif

The required inputs are the values of d, v and x2.gif.


Incomplete Beta Function
The Incomplete Beta Function returns the value of Ix.gif as defined next,

incomplbeta.gif

where (0 < x < 1).
The required inputs are the values of x, a and b.


Gamma Function
The Gamma Function option returns values as defined next,

gamma1.gif

for (x > 0), or

gamma2.gif

for (0 > x RSQSR100090001.gif -1, -2, -3,...).
The only input required is x. The program returns the value of G(x).


Student's t Values
The Student’s t Values function returns values as defined next,

studet.gif

The required inputs are the values of a, v and t.