What is the root word for sum?
Sump, sume & sum are the root-words for many other words. These ROOT-WORDS are SUME,SUMP & SUM meaning TAKE, USE & WASTE. They come from the Latin sumere & sumptus.
What is the root sum of squares in statistics?
The Root Sum of Squares The root sum of squares is the way that combines the standard uncertainties of more than one contributor to provide our overall combined uncertainty. This is not influenced by the number of measurements we take to determine our standard uncertainty and there is no division by the number of measurements involved.
What is the root word of waste?
These ROOT-WORDS are SUME,SUMP & SUM meaning TAKE, USE & WASTE. They come from the Latin sumere & sumptus. It is interesting to notice how the idea of taking and using began to mean expensive, burdensome, and wasteful.
Root Mean Square (RMS) v Root Sum of Squares (RSS) in uncertainty analysis
It would appear that i pressed publish rather than save as draft today – I have now updated to actually cover the headings previously released – oops!
The Root Mean Square
We approach the Root Mean Square (RMS) first. This tells us what we can expect the error to be in each of the measurements we have taken.
The Root Sum of Squares
The root sum of squares is the way that combines the standard uncertainties of more than one contributor to provide our overall combined uncertainty. This is not influenced by the number of measurements we take to determine our standard uncertainty and there is no division by the number of measurements involved.
Conclusion
So that concludes the quick compare and contrast of two of the commonly encountered terms in uncertainty analysis. Although they sound similar the mechanics of them being calculated differ significantly, and the part of the uncertainty process we apply them to differ.
A Little Background…
in general….
- For both of these techniques we are talking about two closely related calculations that are being used to estimate how something we are measuring varies around an expected value or average value for a series of experimentally determined measurements. It is here that the similarity ends though, both are trying to answer different questions and when thinking about how we calculate …
The Root Mean Square
- We approach the Root Mean Square (RMS) first. This tells us what we can expect the error to be in each of the measurements we have taken. From the equation above you can see we simply square each measurement result and add them together. The average is calculated by dividing by the number of measurements (N). Finally, the square root is taken to provide the RMS. This is on…
The Root Sum of Squares
- The root sum of squares is the way that combines the standard uncertainties of more than one contributor to provide our overall combined uncertainty. This is not influenced by the number of measurements we take to determine our standard uncertainty and there is no division by the number of measurements involved. This works well provided the contrib...
Conclusion
- So that concludes the quick compare and contrast of two of the commonly encountered terms in uncertainty analysis. Although they sound similar the mechanics of them being calculated differ significantly, and the part of the uncertainty process we apply them to differ. If you found this post useful, there is more related content available over at pathologymu.comincluding free video cou…