 Dataplot Vol 2 Vol 1

# ROOT MEAN SQUARE ERROR

Name:
ROOT MEAN SQUARE ERROR (LET)
Type:
Let Subcommand
Purpose:
Compute the root means square error of a variable.
Description:
The root mean square error has the formula:

$$\mbox{RMS} = \sqrt{\frac{\sum_{i=1}^{n}{X_{i}^{2}}} {n}}$$
Syntax 1:
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.
Syntax 2:
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.

Examples:
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
Note:
Dataplot statistics can be used in a number of commands. This is documented in the STATISICS HELP.
Default:
None
Synonyms:
RMS
Related Commands:
 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.
Applications:
Statistics
Implementation Date:
2010/1
Program:

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

A value of 0.9256 is returned.

NIST is an agency of the U.S. Commerce Department.

Date created: 09/08/2010
Last updated: 10/07/2016