How did error analysis evolve over time?

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Discussion Overview

The discussion centers around the historical evolution of error analysis, particularly the quantification and mathematical manipulation of uncertainties in measurement. Participants express interest in understanding how error analysis has developed from early observational methods to contemporary mathematical and computational approaches.

Discussion Character

  • Exploratory
  • Historical

Main Points Raised

  • One participant seeks information on the historical origins of error analysis, noting a lack of clarity in textbooks regarding experimental processes.
  • Another participant suggests the book "Data Reduction and Error Analysis for the Physical Sciences" by Bevington as a resource, although they acknowledge it primarily covers current practices rather than historical development.
  • A participant expresses disappointment with the Bevington book, stating it does not address the historical evolution of error analysis, particularly from early observational methods to modern techniques.
  • One participant references an essay titled "Error Theory" from the "Reader's Guide to the History of Science," which discusses notable figures in the development of error analysis, such as Bessel, Gauss, Lagrange, and Laplace, and claims that the origins date back to the Enlightenment.
  • Another participant mentions the significant advancements in error analysis in experimental publications over the decades, particularly in particle physics, contrasting older papers with modern ones.
  • A participant expresses a desire to explore the historical development of error analysis further, indicating it will be a personal project.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the historical development of error analysis, with multiple viewpoints and references to different resources being shared. The discussion remains exploratory and unresolved regarding the specifics of its evolution.

Contextual Notes

Participants highlight limitations in available resources, noting that many texts do not adequately cover the historical context of error analysis. There is also an acknowledgment of the complexity of modern error analysis compared to earlier methods.

Measurer
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Hello, all,

I am wondering if anyone can provide me information on the historical origin of error analysis; that is, with the quantification and mathematical manipulation of uncertainties in measurement. I find that all the textbooks I have stumbled upon provide a narrative of physical theories, but leave the actual experimental processes opaque. I will be grateful for any lead or inkling provided.

Thank you for your time.
 
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Measurer said:
Hello, all,

I am wondering if anyone can provide me information on the historical origin of error analysis; that is, with the quantification and mathematical manipulation of uncertainties in measurement. I find that all the textbooks I have stumbled upon provide a narrative of physical theories, but leave the actual experimental processes opaque. I will be grateful for any lead or inkling provided.

Thank you for your time.
There are bits of this in introductory books on error analysis. Bevington, "Data Reduction and Error Analysis for the Physical Sciences" is a good intro book.
 
Quantum Defect said:
There are bits of this in introductory books on error analysis. Bevington, "Data Reduction and Error Analysis for the Physical Sciences" is a good intro book.

Thank you for the reference. I just found the call number in the library and will take the book out tomorrow.
 
Measurer said:
Thank you for the reference. I just found the call number in the library and will take the book out tomorrow.

I checked the book out. I find it to be just a rehashing of error analysis. I am looking more for its historical development--the story of how it evolved in the sciences from just armchair observation with little to no actual measuring (like Aristotle) to the mathematical and computational world of error analysis today. Thank you, though.
 
Measurer said:
I checked the book out. I find it to be just a rehashing of error analysis. I am looking more for its historical development--the story of how it evolved in the sciences from just armchair observation with little to no actual measuring (like Aristotle) to the mathematical and computational world of error analysis today. Thank you, though.

I found an essay ["Error Theory"] in an Encyclopedia ["Reader's Guide to the Histroy of Science" ] that has some interesting history. The essay is brief, but I learned some things I didn't know -- the article is a "hit-parade" of some pretty famous names -- Bessel, Gauss, Lagrange, Laplace, etc. etc...

https://books.google.com/books?id=f...e&q=history of science error analysis&f=false

The essay appears to have a bibliography that would be useful to you at the very beginning, but it looks like Google doesn't want to show it to me. :(

The essay claims that the start of it all was during the Enlightenment.

Thanks for pressing this question. I learned something new today!
 
For the last decades, you can also check publications of experimental results. At least in particle physics, the difference between a paper from 1970 and a modern paper is huge.
 
Quantum Defect said:
I found an essay ["Error Theory"] in an Encyclopedia ["Reader's Guide to the Histroy of Science" ] that has some interesting history. The essay is brief, but I learned some things I didn't know -- the article is a "hit-parade" of some pretty famous names -- Bessel, Gauss, Lagrange, Laplace, etc. etc...

https://books.google.com/books?id=fjhdAgAAQBAJ&pg=PA227&lpg=PA227&dq=history of science error analysis&source=bl&ots=oCJknysfTu&sig=XiwkkUw7EthTdT0YoOQNWEvLzS0&hl=en&sa=X&ei=9uyzVOKjFpG0sATz9YD4DA&ved=0CFcQ6AEwCA#v=onepage&q=history of science error analysis&f=false

Thank you for this! I'm going to find out more about the ideas mentioned in the piece and follow those rabbits down their respective holes. I will keep you posted about new developments as I find them. It will be a small project of mine.
 
mfb said:
For the last decades, you can also check publications of experimental results. At least in particle physics, the difference between a paper from 1970 and a modern paper is huge.

That would be a good study as well: how far error analysis has advanced in just forty years. Unfortunately, I have yet to acquire the sophistication to fully appreciate the error-analysis in most professional papers. Thus I must focus on the earlier development first, as it is something I have more proficiency with. All in all, there is much fruit on these here trees.
 

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