ROOT MEAN SQUARE ERROR

ROOT MEAN SQUARE ERROR (LET)

Let Subcommand

Compute the root means square error of a variable.

The root mean square error has the formula:
\( \mbox{RMS} = \sqrt{\frac{\sum_{i=1}^{n}{X_{i}^{2}}} {n}} \)

LET <par> = ROOT MEAN SQUARE ERROR <y>
                        <SUBSET/EXCEPT/FOR qualification>
where <y> is the response variable;
            <par> is a parameter where the computed root mean square error is saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET <par> = DIFFERENCE OF ROOT MEAN SQUARE ERROR <y1> <y2>
                        <SUBSET/EXCEPT/FOR qualification>
where <y1> is the first response variable;
            <y2> is the second response variable;
            <par> is a parameter where the computed difference of root mean square errors is saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax computes the root mean square error of <y1> and <y2> and then computes the difference of the two root mean square error values.

LET A = ROOT MEAN SQUARE ERROR Y1
LET A = ROOT MEAN SQUARE ERROR Y1 SUBSET TAG > 2
LET A = DIFFERENCE OF ROOT MEAN SQUARE ERROR Y1 Y2

Dataplot statistics can be used in a number of commands. This is documented in the STATISICS HELP.

None

RMS

MEAN	= Compute the mean of a variable.
RANGE	= Compute the range of a variable.
STANDARD DEVIATION	= Compute the standard deviation of a variable.
VARIANCE	= Compute the variance of a variable.

Statistics

2010/1

 
LET Y1 = NORMAL RANDOM NUMBERS FOR I = 1 1 100
LET RMS = ROOT MEAN SQUARE ERROR Y1
    

A value of 0.9256 is returned.