SRACDF
Name:
Type:
Purpose:
Description:
The studentized range is defined as:
Q = Range/Standard Deviation
The formula for the distribution of the studentized range is
mathematically complex and not given here.
The studentized range is used in constructing confidence
intervals for tests of multiple comparisons in analysis
of variance problems.
The parameter V must be >= 1 and R must be >= 2. Note
that for the most common uses of this distribution
R is usually set to V + 1.
Syntax:
LET <y> = SRACDF(<x>,<v>,<r>)
<SUBSET/EXCEPT/FOR qualification>
where <x> is a variable or a parameter where the studentized
range will be computed (<x> > 0);
<y> is a variable or a parameter (depending on what
<x> is) where the computed studentized range cdf
values are stored;
<v> is a number or parameter that specifies the degrees
of freedom parameter (<v> >= 1);
<r> is a number or parameter that specifies the sample
size parameter (<r> >= 2);
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = SRACDF(3,10,11)
LET A = SRACDF(A1,22,23)
LET X2 = SRACDF(X1,V,R)
Note:
This command is implemented using the Algorithm AS 190,
prtrng, from Applied Statistics (1983), Vol. 32, No. 2.
It incorporates modifications from Applied Statistics,
(1985) Vol. 34, (1).
Note:
Library functions are distinguished from let subcommands
in the following ways.
- Functions enclose the input value in parenthesis. Let
subcommands use spaces.
- Functions can accept (and return) either parameters
(i.e., single values) or variables (i.e., an array of
values) while let subcommands are specific in which they
accept as input and what they return as output.
- Functions can accept expressions while let subcommands
do not. For example, the following is legal:
For let subcommands, you typically have to do something
like the following:
LET YTEMP = Y**2 + 8
LET A = SUM YTEMP
Default:
Synonyms:
Related Commands:
SRAPPF
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= Compute the studentized range percent point function.
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ANOVA
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= Perform an analysis of variance.
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CHSPDF'
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= Compute the chi-square probability density function.
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CHSPPF
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= Compute the chi-square percent point function.
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CHSCDF
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= Compute the chi-square cumulative distribution function.
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FCDF
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= Compute the F cumulative distribution function.
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FPDF
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= Compute the F probability density function.
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FPPF
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= Compute the F percent point function.
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NORCDF
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= Compute the normal cumulative distribution function.
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NORPDF
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= Compute the normal probability density function.
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NORPPF
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= Compute the normal percent point function.
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TCDF
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= Compute the T cumulative distribution function.
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TPDF
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= Compute the T probability density function.
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TPPF
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= Compute the T percent point function.
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Applications:
Implementation Date:
Program:
TITLE AUTOMATIC
MULTIPLOT CORNER COORDINATES 5 5 95 95
MULTIPLOT 2 2
PLOT SRACDF(X,4,5) FOR X = 0.01 0.01 10
PLOT SRACDF(X,9,10) FOR X = 0.01 0.01 10
PLOT SRACDF(X,19,20) FOR X = 0.01 0.01 10
PLOT SRACDF(X,29,30) FOR X = 0.01 0.01 10
END OF MULTIPLOT
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