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Knautschtasche

Glossary entry

German term or phrase:

Fehlerquadratsummen-Minimierung

English translation:

minimization of the sum of the squared errors

Added to glossary by Kim Metzger
Mar 25, 2009 18:24
15 yrs ago
1 viewer *
German term

Fehlerquadratsummen-Minimierung

German to English Science Mathematics & Statistics multiple linear regression
Here's the context sentence:
MLR (Multiple Linear Regression) ist eine statische Standardmethode, die basierend auf einer Fehlerquadratsummen-Minimierung eine multiple lineare Regression durchführt.
Proposed translations (English)
3 +1 minimization of sum of squared error
4 +1 least squares minimisation / least squares method
4 mean-square error minimization
3 maximum mean squared error minimization
Change log

Mar 30, 2009 13:27: Kim Metzger Created KOG entry

Proposed translations

+1
50 mins
Selected

minimization of sum of squared error

This isn't my field, but I think this might be in the right direction.

mittleres Fehlerquadrat – mean error square value

http://books.google.com/books?id=NbwrzoLn6cUC&pg=PA509&lpg=P...

Thus, for the impossible ideal of perfect uniformity, where all probe signals are equal and no random error exists, the sum of square value of Error would be zero.

http://www.patentstorm.us/patents/7248973/description.html

sum of squared error

The mean minimizes the sum of squared error. The figure on the left, represents the data in the frequency distribution on the right, and can be used to illustrate this property of the mean.
http://espse.educ.psu.edu/edpsych/faculty/rhale/Statistics/C...

Minimization of sum of squared error in IFT scheme. Fig. 4. Minimization of cost function (sum of squared error) in simulation over 10 cycles of tuning ...
ieeexplore.ieee.org/iel5/4498401/4516026/04516072.pdf?arnumber=4516072
by H Stearns



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Note added at 1 hr (2009-03-25 19:29:23 GMT)
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Sum of squares error gets 32,000 hits vs. 4,600 for sum of squared error

Introduction to Engineering Statistics and Six Sigma: Statistical ... - Google Books Resultby Theodore T. Allen - 2006 - Technology & Engineering - 529 pages
These runs are set aside and not used for estimating the weights in the minimization of the sum of squares error. In the context of welding parameter ...
books.google.com/books?isbn=1852339551...

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Note added at 1 hr (2009-03-25 19:42:11 GMT)
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Abstract The combinatorial problem of clusterwise discrete linear approximation is defined as finding a given number of clusters of observations such that the overall sum of error sum of squares within those clusters becomes a minimum. The FORTRAN implementation of a heuristic solution method and a numerical example are given.

Zusammenfassung Die kombinatorische Aufgabe der klassenweisen diskreten linearen Approximation wird dadurch definiert, daß die Summe über die Fehlerquadratsummen innerhalb der Klassen minimiert wird. Die FORTRAN-Implementation eines heuristischen Lösungsverfahrens und ein numerisches Beispiel werden angegeben.

http://www.springerlink.com/content/62mm101364012334/

ISI glossary of statistical terms – English-German

error sum of squares - Summe der Fehlerquadrate

http://ec.europa.eu/comm/eurostat/research/index.htm?http://...
Peer comment(s):
agree Oliver Walter : Yes: as the text says, it's a minimization of the sum of the squares of the errors. "minimization of the sum of the squared errors" would be my translation.
3 hrs
From a man who knows what he's talking about.
Something went wrong...
4 KudoZ points awarded for this answer. Comment: "Thanks - especially for all the good references - it was important to include 'sum' here. Thanks to all contributors!"
14 mins

maximum mean squared error minimization

I think that's it
Something went wrong...
27 mins

mean-square error minimization

The
regression analysis is focused on estimating the regression coefficients, making
statistical inference about these estimations, and constructing forecasts for the
new values of Y, given the new value of X. The estimation is done using the
mean-square error minimization;
http://wolfweb.unr.edu/homepage/zal/STAT452/Lab5.pdf
Peer comment(s):
agree Alvaro Ferreira
1 hr
disagree Oliver Walter : Linear regression minimizes the mean square error but the text mentions minimising the sum: the sum is not the mean. Depending on the rest of the text this difference might be significant.
4 hrs
Something went wrong...
+1
4 hrs

least squares minimisation / least squares method

I think least squares minimisation is, if memory serves me correctly, a shorthand way of saying mean-square error minimization which is generally used in linear regression (i.e. selecting the best curve to fit a set of experimental data).
Ycan also refer to least squares regression methods, dropping the minimisation as well.
Ref. "Statistics for technology" Christopher Chatfield, ISBN-10: 0412253402
Reference:

http://en.wikipedia.org/wiki/Least_squares

http://en.wikipedia.org/wiki/Linear_regression

Peer comment(s):
agree Kim Bakkers : This is how I've heard this called too
15 hrs
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