TERMIUM Plus®
The Government of Canada’s terminology and linguistic data bank.
MEAN SQUARE ERROR [3 records]
Record 1 - internal organization data 2016-02-25
Record 1, English
Record 1, Subject field(s)
- Statistics
Record 1, Main entry term, English
- population standard deviation
1, record 1, English, population%20standard%20deviation
correct
Record 1, Abbreviations, English
- s.d. 2, record 1, English, s%2Ed%2E
correct
- SD 3, record 1, English, SD
correct
- S.D. 4, record 1, English, S%2ED%2E
correct
Record 1, Synonyms, English
- standard deviation of universe 5, record 1, English, standard%20deviation%20of%20universe
correct
- standard deviation 1, record 1, English, standard%20deviation
correct, see observation
- root mean-square deviation 1, record 1, English, root%20mean%2Dsquare%20deviation
avoid
- mean error 2, record 1, English, mean%20error
avoid
- mean square error 2, record 1, English, mean%20square%20error
avoid
- error of mean square 2, record 1, English, error%20of%20mean%20square
avoid
- standard error 2, record 1, English, standard%20error
avoid
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
The square root of the mean of the squares of individual deviations from the mean, in a "population" series; ... 3, record 1, English, - population%20standard%20deviation
Record number: 1, Textual support number: 2 DEF
The standard deviation of a finite population ... generally denoted by the Greek letter [sigma]. 1, record 1, English, - population%20standard%20deviation
Record number: 1, Textual support number: 1 OBS
In context, the population standard deviation is often referred to as simply "standard deviation". 6, record 1, English, - population%20standard%20deviation
Record number: 1, Textual support number: 2 OBS
for "standard deviation" : A great deal of confusion has been introduced into statistical literature by the many different expressions which have been used for the standard deviation and the simple derivatives of it. (...) The term "standard deviation" is now almost universally accepted (...). "Mean error" (Gauss), "mean square error" and "error of mean square" (Airy) have all been used to denote the standard deviation. The standard deviation is not to be confused with "standard error". 2, record 1, English, - population%20standard%20deviation
Record 1, French
Record 1, Domaine(s)
- Statistique
Record 1, Main entry term, French
- écart-type de la population
1, record 1, French, %C3%A9cart%2Dtype%20de%20la%20population
correct
Record 1, Abbreviations, French
Record 1, Synonyms, French
- écart quadratique moyen 2, record 1, French, %C3%A9cart%20quadratique%20moyen
see observation
- écart moyen quadratique 3, record 1, French, %C3%A9cart%20moyen%20quadratique
correct, see observation
- standard déviation 4, record 1, French, standard%20d%C3%A9viation
avoid
- déviation standard 5, record 1, French, d%C3%A9viation%20standard
avoid
- déviation-type 6, record 1, French, d%C3%A9viation%2Dtype
avoid
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
Indice de dispersion défini comme la racine carrée de la moyenne des carrés des écarts individuels à la moyenne [arithmétique de la série d'une population]. 3, record 1, French, - %C3%A9cart%2Dtype%20de%20la%20population
Record number: 1, Textual support number: 2 DEF
[...] désigné par [sigma], est la racine carrée positive de la variance. 7, record 1, French, - %C3%A9cart%2Dtype%20de%20la%20population
Record number: 1, Textual support number: 1 CONT
On dit que l'[écart-type de l'échantillon] est un estimateur non biaisé de l'écart-type de la population [...] 1, record 1, French, - %C3%A9cart%2Dtype%20de%20la%20population
Record number: 1, Textual support number: 1 OBS
En pratique, on rencontre rarement le terme "écart-type de la population". Cette notion est presque toujours indiquée par le terme "écart-type" accompagné du symbole sigma. 2, record 1, French, - %C3%A9cart%2Dtype%20de%20la%20population
Record number: 1, Textual support number: 2 OBS
«écart quadratique moyen» : Du point de vue sémantique, on pourrait croire qu'"écart quadratique moyen" est synonyme de "variance"; cependant, l'usage veut qu'"écart quadratique moyen" soit synonyme d'"écart-type" et que "variance" se définisse comme étant "l'écart quadratique élevé au carré". (Voir FEPRO, 1967, page 48). 2, record 1, French, - %C3%A9cart%2Dtype%20de%20la%20population
Record number: 1, Textual support number: 3 OBS
«écart moyen quadratique» : L'observation faite pour "écart quadratique moyen" vaut également pour la variante linguistique: "écart moyen quadratique". 2, record 1, French, - %C3%A9cart%2Dtype%20de%20la%20population
Record 1, Spanish
Record 1, Campo(s) temático(s)
- Estadística
Record 1, Main entry term, Spanish
- desviación estándar de la población
1, record 1, Spanish, desviaci%C3%B3n%20est%C3%A1ndar%20de%20la%20poblaci%C3%B3n
correct, feminine noun
Record 1, Abbreviations, Spanish
Record 1, Synonyms, Spanish
- desviación típica de la población 2, record 1, Spanish, desviaci%C3%B3n%20t%C3%ADpica%20de%20la%20poblaci%C3%B3n
correct, feminine noun
Record 1, Textual support, Spanish
Record 2 - internal organization data 2012-06-15
Record 2, English
Record 2, Subject field(s)
- Statistics
- Mathematics
Record 2, Main entry term, English
- population variance
1, record 2, English, population%20variance
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- variance 2, record 2, English, variance
correct
- universe variance 3, record 2, English, universe%20variance
correct
- mean square error 4, record 2, English, mean%20square%20error
avoid, see observation
Record 2, Textual support, English
Record number: 2, Textual support number: 1 DEF
... the mean of the squares of the individual deviations from the mean [of a population distribution]. 2, record 2, English, - population%20variance
Record number: 2, Textual support number: 2 DEF
Is symbolized by sigma squared. 5, record 2, English, - population%20variance
Record number: 2, Textual support number: 1 OBS
In context, the "population variance" is often referred to as simply "variance". 5, record 2, English, - population%20variance
Record number: 2, Textual support number: 2 OBS
Mean square error is used in older documents and taken to mean variance. It should not be used in that sense. 4, record 2, English, - population%20variance
Record 2, French
Record 2, Domaine(s)
- Statistique
- Mathématiques
Record 2, Main entry term, French
- variance de la population
1, record 2, French, variance%20de%20la%20population
correct, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
- variance 2, record 2, French, variance
correct, feminine noun, standardized
- écart quadratique moyen 3, record 2, French, %C3%A9cart%20quadratique%20moyen
avoid, masculine noun
- écart moyen quadratique 3, record 2, French, %C3%A9cart%20moyen%20quadratique
avoid, masculine noun
- fluctuation 4, record 2, French, fluctuation
avoid, feminine noun
Record 2, Textual support, French
Record number: 2, Textual support number: 1 DEF
Caractéristique de dispersion d'une série statistique [de population] que l'on obtient en divisant la somme des carrés des écarts à la moyenne par le nombre N des observations [...] Sa valeur est très proche de celle de la fluctuation. 5, record 2, French, - variance%20de%20la%20population
Record number: 2, Textual support number: 2 DEF
On la désigne par sigma (lettre grecque minuscule) au carré ou parfois par la lettre V. 3, record 2, French, - variance%20de%20la%20population
Record number: 2, Textual support number: 1 OBS
En pratique, on rencontre rarement le terme «variance de la population». Cette notion est presque toujours indiquée par le terme «variance» accompagné du symbole sigma au carré. 3, record 2, French, - variance%20de%20la%20population
Record number: 2, Textual support number: 2 OBS
«fluctuation» : La fluctuation se confond avec la variance quand le calcul de la dispersion a comme valeur centrale la moyenne arithmétique. Toutefois, le terme fluctuation a un sens générique par rapport au terme variance. 3, record 2, French, - variance%20de%20la%20population
Record number: 2, Textual support number: 3 OBS
variance : terme normalisé par l'AFNOR. 3, record 2, French, - variance%20de%20la%20population
Record 2, Spanish
Record 2, Campo(s) temático(s)
- Estadística
- Matemáticas
Record 2, Main entry term, Spanish
- varianza
1, record 2, Spanish, varianza
correct, feminine noun
Record 2, Abbreviations, Spanish
Record 2, Synonyms, Spanish
Record 2, Textual support, Spanish
Record number: 2, Textual support number: 1 OBS
varianza: término extraído del CAPITAL Business Dictionary con la autorización de LID Editorial Empresarial. 2, record 2, Spanish, - varianza
Record 3 - internal organization data 1998-08-05
Record 3, English
Record 3, Subject field(s)
- Statistics
Record 3, Main entry term, English
- mean square error
1, record 3, English, mean%20square%20error
correct
Record 3, Abbreviations, English
Record 3, Synonyms, English
- mean-square error 2, record 3, English, mean%2Dsquare%20error
correct
- mean squared error 3, record 3, English, mean%20squared%20error
correct
- MSE 4, record 3, English, MSE
correct
- MSE 4, record 3, English, MSE
- error of mean square 5, record 3, English, error%20of%20mean%20square
correct
Record 3, Textual support, English
Record number: 3, Textual support number: 1 DEF
... the average of the squared distance between the estimate and the parameter. 4, record 3, English, - mean%20square%20error
Record number: 3, Textual support number: 2 DEF
A measure of the error to which one is exposed by the use of an estimator, which is given by the expected value of the squared difference between the estimator and a (theoretically) correct value. For unbiased estimators, the mean square error equals the variance. 6, record 3, English, - mean%20square%20error
Record 3, French
Record 3, Domaine(s)
- Statistique
Record 3, Main entry term, French
- erreur quadratique moyenne
1, record 3, French, erreur%20quadratique%20moyenne
correct, feminine noun
Record 3, Abbreviations, French
Record 3, Synonyms, French
- erreur moyenne quadratique 2, record 3, French, erreur%20moyenne%20quadratique
correct, feminine noun
- incertitude quadratique moyenne 1, record 3, French, incertitude%20quadratique%20moyenne
correct, feminine noun
Record 3, Textual support, French
Record 3, Spanish
Record 3, Textual support, Spanish
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