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Are Scaled Estimates Unitless

Maybe I'm just having a stroke.  Was hoping for someone to confirm/deny this to me.  

 

 

AnalyticsRe: Are Scaled Estimates Unitless

https://community.jmp.com/t5/Discussions/What-s-the-difference-between-scaled-estimates-and-standardized/td-p/1176

Re: Are Scaled Estimates Unitless

Saw that, still asked.  So that's a yes right? 

Re: Are Scaled Estimates Unitless

The standardization is such that the numerator and the denominator have the same units, so the units 'cancel' and the result is 'unitless' or 'scale invariant.'

 

That is a YES.

Re: Are Scaled Estimates Unitless

Thanks @markbailey and @Byron_JMP 

I have someone that won't believe me.  Y'all have any way that I can prove this to them?  

To give a little context they're trying to divide scaled estimates by RMSE to create a pseudo "Z-score".  

 

*Edit* did this and made them amtch, so doesn't that mean that each scaled estimate is in the units of Y (height in this case)?

Names default to here( 1 );
dt = open("$SAMPLE_DATA\Big Class.jmp");

dt << New Column("Scaled height", 
 <<FORMULA></FORMULA>