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Measure of the error of an estimator
In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures
Mean_squared_error
Statistical error measure
to the mean squared error, the equivalent for mean absolute error is least absolute deviations. MAE is not identical to root-mean square error (RMSE)
Mean_absolute_error
Statistical measure
processes. Root mean square Mean absolute error Average absolute deviation Mean signed deviation Mean squared deviation Squared deviations Errors and residuals
Root_mean_square_deviation
Estimation method that minimizes the mean square error
and Stirling. Johnson, D. "Minimum Mean Squared Error Estimators". Connexions. Archived from Minimum Mean Squared Error Estimators the original on 25 July
Minimum mean square error estimator
Minimum_mean_square_error_estimator
Statistics concept
In statistics the mean squared prediction error (MSPE), also known as mean squared error of the predictions, of a smoothing, curve fitting, or regression
Mean_squared_prediction_error
Statistics concept
arises in the expression mean squared error (MSE). The mean squared error of a regression is a number computed from the sum of squares of the computed residuals
Errors_and_residuals
Average of squared values of a sample
may be known as mean square deviation. When the reference value is the assumed true value, the result is known as mean squared error. A typical estimate
Mean_square
Test statistic
statistics, the reduced chi-square statistic is used extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD)
Reduced_chi-squared_statistic
Statistical model validation technique
continuously distributed, the mean squared error, root mean squared error or median absolute deviation could be used to summarize the errors. When users apply cross-validation
Cross-validation_(statistics)
Measure of statistical error
zero. Percentage error Mean absolute percentage error Mean squared error Mean squared prediction error Minimum mean-square error Squared deviations Peak
Mean_percentage_error
Method for estimating the unknown parameters in a linear regression model
least squares, not biased) parameter estimates and biased standard errors, resulting in misleading tests and interval estimates. The mean squared error for
Ordinary_least_squares
Rule for calculating an estimate of a given quantity based on observed data
may have a lower mean squared error than any unbiased estimator (see estimator bias). This equation relates the mean squared error with the estimator
Estimator
Probability distribution
distributions. The exponential distribution, Erlang distribution, and chi-squared distribution are special cases of the gamma distribution. There are two
Gamma_distribution
In statistics, the mean integrated squared error (MISE) is used in density estimation. The MISE of an estimate of an unknown probability density is given
Mean_integrated_squared_error
Property of a model
y_{n})\}} . We make "as well as possible" precise by measuring the mean squared error between y {\displaystyle y} and f ^ ( x ; D ) {\displaystyle {\hat
Bias–variance_tradeoff
Statistical theorem
arbitrarily crude estimator into an estimator that is optimal by the mean-squared-error criterion or any of a variety of similar criteria. The Rao–Blackwell
Rao–Blackwell_theorem
Process of mapping a continuous set to a countable set
the mean squared error produced by such a rounding operation will be approximately Δ 2 / 12 {\displaystyle \Delta ^{2}/12} . Mean squared error is also
Quantization (signal processing)
Quantization_(signal_processing)
Concept in signal processing
average squared difference between two signals. Unlike the maximum error, mean squared error takes into account the overall magnitude and spread of errors, offering
Similarity (signal processing)
Similarity_(signal_processing)
Statistical property
estimator gives a lower value of some loss function (particularly mean squared error) compared with unbiased estimators (notably in shrinkage estimators);
Bias_of_an_estimator
Statistical property
mean. In regression analysis, the term "standard error" refers either to the square root of the reduced chi-squared statistic or the standard error for
Standard_error
Theory about lossy data compression
defined as the expected value of the square of the difference between input and output signal (i.e., the mean squared error). However, since we know that most
Rate–distortion_theory
Statistical measure of the discrepancy between data and an estimation model
sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared estimate of errors (SSE), is the sum of the squares of residuals
Residual_sum_of_squares
Measure of accuracy of predictions
terms of metrics such as correlation, root mean squared error, mean absolute error, relative mean absolute error, bias, and the Brier score, among others
Forecast_skill
Correction for sample variance bias
population standard deviation. However, the correction often increases the mean squared error in these estimations. This technique is named after Friedrich Bessel
Bessel's_correction
Use of multiple antennas in radio
minimum mean squared error (MMSE) algorithm detects the transmitted signals, x ~ {\displaystyle {\tilde {\mathbf {x} }}} , through minimizing the mean squared
MIMO
Statistical measure of how far values spread from their average
as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically
Variance
Phenomenon in decision theory and estimation theory
estimators more accurate on average (that is, having lower expected mean squared error) than any method that handles the parameters separately. It is named
Stein's_example
Ballistics measure of a weapon system's precision
associated concept, the DRMS (distance root mean square), calculates the square root of the average squared distance error, a form of the standard deviation. Another
Circular_error_probable
Measure of the accuracy of probabilistic predictions
For unidimensional predictions, it is strictly equivalent to the mean squared error as applied to predicted probabilities. The Brier score is applicable
Brier_score
Lower bound on variance of an estimator
be (fully) efficient. Such a solution achieves the lowest possible mean squared error among all unbiased methods, and is, therefore, the minimum variance
Cramér–Rao_bound
Theorem related to ordinary least squares
_{j}\beta _{j}} be some linear combination of the coefficients. Then the mean squared error of the corresponding estimation is E [ ( ∑ j = 1 K λ j ( β ^ j −
Gauss–Markov_theorem
Summary statistic of variability
accuracy is very closely related to the mean squared error (MSE) method which is just the average squared error of the forecasts. Although these methods
Average_absolute_deviation
Index of articles associated with the same name
see Least squares For the "sum of squared differences", see Mean squared error For the "sum of squared error", see Residual sum of squares For the "sum
Sum_of_squares
Rule for estimating the mean of a dataset
"ordinary" least squares approach in the sense that the James–Stein estimator has a lower mean squared error than the "ordinary" least squares estimator for
James–Stein_estimator
Statistical algorithm
mean squared error, ∑ e 2 / n {\displaystyle \sum e^{2}/n} . The realization of the causal Wiener filter resembles the solution to the least squares estimate
Least_mean_squares_filter
Stein's unbiased risk estimate (SURE) is an unbiased estimator of the mean-squared error of "a nearly arbitrary, nonlinear biased estimator." In other words
Stein's unbiased risk estimate
Stein's_unbiased_risk_estimate
Statistical modeling method
of the least squares cost function as in ridge regression (L2-norm penalty) and lasso (L1-norm penalty). Use of the Mean Squared Error (MSE) as the cost
Linear_regression
Type of filter in signal processing
common: Window design method Frequency sampling method Least MSE (mean square error) method Parks–McClellan method (also known as the equiripple, optimal
Finite_impulse_response
Square root of the mean square
in that the RMS includes the squared deviation (error) as well. Physical scientists often use the term root mean square as a synonym for standard deviation
Root_mean_square
Graphical representation of the distribution of numerical data
normally distributed data, in the sense that it minimizes the integrated mean squared error of the density estimate. This is the default rule used in Microsoft
Histogram
Quality measure of a statistical method
calculated by finding the mean squared error. More formally, let T be an estimator for the parameter θ. The mean squared error of T is the value MSE (
Efficiency_(statistics)
Measure of prediction accuracy of a forecast
The mean absolute percentage error (MAPE), also known as mean absolute percentage deviation (MAPD), is a measure of prediction accuracy of a forecasting
Mean absolute percentage error
Mean_absolute_percentage_error
Algorithm that estimates unknowns from a series of measurements over time
the variables for each time-step. The filter is constructed as a mean squared error minimiser, but an alternative derivation of the filter is also provided
Kalman_filter
Class of artificial neural network
presented to the network which propagates the input signals forward. The mean-squared error is returned to the fitness function. This function drives the genetic
Recurrent_neural_network
Statistical accuracy measure
arithmetic mean. Relative change and difference Mean absolute error Mean absolute percentage error Mean squared error Root mean squared error Armstrong
Symmetric mean absolute percentage error
Symmetric_mean_absolute_percentage_error
Mathematical relation assigning a probability event to a cost
}})^{2}\right].} An estimator found by minimizing the mean squared error estimates the posterior distribution's mean. In density estimation, the unknown parameter
Loss_function
Online vector quantization algorithm
of two related algorithms: TurboQuantmse, which is optimized for mean squared error (MSE), and TurboQuantprod, which is optimized for unbiased inner product
TurboQuant
Form of statistical factor analysis
the chi-squared test, the root mean square error of approximation (RMSEA), the comparative fit index (CFI), and the standardised root mean square residual
Confirmatory_factor_analysis
Model-free reinforcement learning algorithm
sample KL-divergence constraint. Fit value function by regression on mean-squared error: ϕ k + 1 = arg min ϕ 1 | D k | T ∑ τ ∈ D k ∑ t = 0 T ( V ϕ ( s t
Proximal_policy_optimization
Measure of variation in statistics
probability distribution is the square root of its variance (the variance being the average of the squared deviations from the mean). A useful property of the
Standard_deviation
Mathematical decision rule
risk function used for Bayesian estimation is the mean square error (MSE), also called squared error risk. The MSE is defined by M S E = E [ ( θ ^ ( x
Bayes_estimator
Measure of the deviation of position over time
statistical mechanics, the mean squared displacement (MSD), also called mean square displacement, average squared displacement, or mean square fluctuation, is a
Mean_squared_displacement
Machine learning technique
form y ^ = F ( x ) {\displaystyle {\hat {y}}=F(x)} by minimizing the mean squared error 1 n ∑ i ( y ^ i − y i ) 2 {\displaystyle {\tfrac {1}{n}}\sum _{i}({\hat
Gradient_boosting
Phenomenon in statistics
estimation schemes. Many standard estimators can be improved, in terms of mean squared error (MSE), by shrinking them towards zero (or any other finite constant
Shrinkage_(statistics)
Type of average of a collection of numbers
{x}})^{2}} . The sample mean is also the best single predictor because it has the lowest root mean squared error. If the arithmetic mean of a population of
Arithmetic_mean
Prediction of digital video quality
other techniques such as mean squared error (MSE) or peak signal-to-noise ratio (PSNR) that instead estimate absolute errors. Structural information is
Structural similarity index measure
Structural_similarity_index_measure
Method of estimating the parameters of a statistical model, given observations
infinity. This means that no consistent estimator has lower asymptotic mean squared error than the MLE (or other estimators attaining this bound), which also
Maximum_likelihood_estimation
Approximation method in statistics
In regression analysis, least squares is a method to determine the best-fit model by minimizing the sum of the squared residuals—the differences between
Least_squares
Australian statistician (born 1967)
error, such as mean absolute error, geometric mean absolute error, and mean squared error, have shortcomings related to dependence on scale of data and/or
Rob_J._Hyndman
In statistics, the mean signed difference (MSD), also known as mean signed deviation, mean signed error, or mean bias error is a sample statistic that
Mean_signed_deviation
Probability distribution
}}^{2}} is better than the s 2 {\textstyle s^{2}} in terms of the mean squared error (MSE) criterion. In finite samples both s 2 {\textstyle s^{2}} and
Normal_distribution
Branch of statistics to estimate models based on measured data
estimators Cramér–Rao bound Least squares Minimum mean squared error (MMSE), also known as Bayes least squared error (BLSE) Maximum a posteriori (MAP)
Estimation_theory
Type of kernel induced by artificial neural networks
function is mean-squared error, the final distribution over f ( x ; θ ) {\displaystyle f(x;\theta )} is still a Gaussian process, but with a new mean and covariance
Neural_tangent_kernel
Statistical rule for bin-width in histograms
the theoretical probability distribution. In detail, the Integrated Mean Squared Error (IMSE) is IMSE = E [ ∫ I ( H ( x ) − f ( x ) ) 2 ] {\displaystyle
Freedman–Diaconis_rule
Stochastic process generalizing Brownian motion
than T R ( D ) {\textstyle TR(D)} bits and recover it with expected mean squared error less than D. On the other hand, for any ε > 0 {\textstyle \varepsilon
Wiener_process
Statistical hypothesis test
statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's chi-squared test is used
Chi-squared_test
Study of collection and analysis of data
prediction). Mean squared error is used for obtaining efficient estimators, a widely used class of estimators. Root mean square error is simply the square root
Statistics
Deep learning software
train neural network on classical tasks. Common criteria are the mean squared error criterion implemented in MSECriterion and the cross-entropy criterion
Torch_(machine_learning)
Theory of stochastic processes
yields the best such basis in the sense that it minimizes the total mean squared error. In contrast to a Fourier series where the coefficients are fixed
Kosambi–Karhunen–Loève theorem
Kosambi–Karhunen–Loève_theorem
Matrix of second derivatives of the log-likelihood function
information matrix gives the minimum mean squared error as an approximation of the true information if an error term of O ( n − 3 / 2 ) {\displaystyle
Observed_information
Least squares approximation of linear functions to data
}}}} is known, then a Bayes estimator can be used to minimize the mean squared error, E { ‖ β − β ^ ‖ 2 } {\displaystyle E\left\{\|{\boldsymbol {\beta
Linear_least_squares
Expected value of a random variable given that certain conditions are known to occur
of the mean squared error. Example 1: Consider the case where Y is the constant random variable that is always 1. Then the mean squared error is minimized
Conditional_expectation
Probability distribution
mean-squared error in normal samples, but the skewness and kurtosis estimators used in DAP/SAS, PSPP/SPSS, namely G1 and G2, had smaller mean-squared
Beta_distribution
Process forming a path from many random steps
{\displaystyle NR(D_{\theta })} bits and recover it with expected mean squared error less than D θ {\displaystyle D_{\theta }} . On the other hand, for
Random_walk
Calculations in probability theory
Squared deviations from the mean (SDM) result from squaring deviations. In probability theory and statistics, the definition of variance is either the
Squared deviations from the mean
Squared_deviations_from_the_mean
Concept that permeates much of inferential statistics and descriptive statistics
the squared norms of orthogonal summands equals the squared norm of the sum. Least squares Mean squared error Squared deviations "Sum of Squares - Definition
Partition_of_sums_of_squares
Condition for optimality of Bayesian estimator
the orthogonality principle says that the error vector of the optimal estimator (in a mean square error sense) is orthogonal to any possible estimator
Orthogonality_principle
Probability distribution and special case of gamma distribution
variables which do not have mean zero yields a generalization of the chi-squared distribution called the noncentral chi-squared distribution. If Y {\displaystyle
Chi-squared_distribution
Forecast errors can be evaluated using a variety of methods namely mean percentage error, root mean squared error, mean absolute percentage error, mean squared
Forecast_error
Statistical technique
{\boldsymbol {\beta }}}_{\mathrm {ols} }),} where, MSE denotes the mean squared error. Now, if for some k ∈ { 1 , … , p } {\displaystyle k\in \{1,\ldots
Principal component regression
Principal_component_regression
(GNN) estimate in place of the mean but compute the covariance matrix as in the normal JPDAF: as a mean-squared error matrix. MATLAB: The PDAF, JPDAF
Joint Probabilistic Data Association Filter
Joint_Probabilistic_Data_Association_Filter
Topics referred to by the same term
common error metrics are: Mean Squared Error (MSE) Root Mean Square Error (RMSE) Mean absolute error (MAE) Mean Absolute Scaled Error (MASE) Mean Absolute
Error_metric
Performance indicator for hydrologic models
Harald (2011). "On typical range, sensitivity, and normalization of Mean Squared Error and Nash–Sutcliffe Efficiency type metrics". Water Resources Research
Kling–Gupta_efficiency
Making predictions with available data
MAE=MAD={\frac {\sum _{t=1}^{N}|E_{t}|}{N}}} Mean squared error (MSE) or mean squared prediction error (MSPE): M S E = M S P E = ∑ t = 1 N E t 2 N
Forecasting
Systemic inaccuracy
hard to compute. Third, a biased estimator may have a lower value of mean squared error. A biased estimator is better than any unbiased estimator arising
Bias_(statistics)
{\displaystyle U} are k p {\displaystyle kp} dimensional column vectors. The mean squared error of the h-step forecast of variable j {\displaystyle j} is M S E [
Variance decomposition of forecast errors
Variance_decomposition_of_forecast_errors
Statistical measure in mathematical model
standard error of the estimate of βj is the square root of the j + 1 diagonal element of s2(X′X)−1, where s is the root mean squared error (RMSE) (note
Variance_inflation_factor
Probability distribution
Minimum Mean Squared Error Estimator", the "Approximately Unbiased Estimator" and "Minimax Estimator", also "A Conditional Mean Squared Error Estimator"
Log-normal_distribution
System to predict users' preferences
offline evaluations. The commonly used metrics are the mean squared error and root mean squared error, the latter having been used in the Netflix Prize. The
Recommender_system
Computational model used in machine learning
products of the weights and the inputs is calculated at each node. The mean squared errors between these calculated outputs and the given target values are
Neural network (machine learning)
Neural_network_(machine_learning)
Statistics concept
out-of-sample mean squared error, also known as the mean squared prediction error, is substantially higher than the in-sample mean square error, this is a
Regression_validation
Adaptive filter algorithm for digital signal processing
contrast to other algorithms such as the least mean squares (LMS) that aim to reduce the mean square error. In the derivation of the RLS, the input signals
Recursive least squares filter
Recursive_least_squares_filter
Diffusion model over latent embedding space
the actual noise added at each step. This is typically done using a mean squared error (MSE) loss function. Once the model is trained, it can be used to
Latent_diffusion_model
Tree-based ensemble machine learning methods
g. the following statistics can be used: Entropy Gini coefficient Mean squared error The normalized importance is then obtained by normalizing over all
Random_forest
Metric used to measure signal quality
known noise-free source image. PSNR is most easily defined via the mean squared error (MSE). Given a noise-free m×n monochrome image I and its noisy approximation
Peak_signal-to-noise_ratio
Topics referred to by the same term
Canada–France–Hawaii Telescope Maximum spacing estimation, in statistics Mean squared error, in statistics Mechanically stabilized earth Mental status examination
MSE
Probability distribution
{\lambda }}_{\text{mle}}-B.} An approximate minimizer of mean squared error (see also: bias–variance tradeoff) can be found, assuming a sample
Exponential_distribution
Rule for choosing histogram bins
approximation of some function f ( x ) {\displaystyle f(x)} . The integrated mean squared error (IMSE) is IMSE = E [ ∫ − ∞ ∞ d x ( f ^ ( x ) − f ( x ) ) 2 ] {\displaystyle
Scott's_rule
Science of extracting information from chemical systems by data-driven means
system, and at least in theory provide superior predictions in the mean-squared error sense, and hence inverse approaches tend to be more frequently applied
Chemometrics
Statistical noise
{\operatorname {MSE} (f)}{\operatorname {var} [Y]}}} where MSE(f) is the mean squared error of the regression function ƒ. It is useful to consider the second
Fraction of variance unexplained
Fraction_of_variance_unexplained
MEAN SQUARED-ERROR
MEAN SQUARED-ERROR
Surname or Lastname
English
English : patronymic from Squire.
Surname or Lastname
English
English : variant of Mease or Meece.Norwegian (Sør Trøndelag) : habitational name from a farmstead named Meås, from me ‘middle’ + ås ‘hill’, ‘ridge’.French (Méas) : habitational name from a locality so named in Nièvre.Cambodian : unexplained.
Surname or Lastname
English
English : topographic name for someone who lived by a meadow, from Middle English mede ‘meadow’ (Old English mǣd).English : metonymic occupational name for a brewer or seller of mead (Old English meodu), an alcoholic beverage made by fermenting honey.
Male
English
Anglicized form of Irish Gaelic Seán, SEAN means "God is gracious."
Surname or Lastname
English
English : topographic name from Middle English dene ‘valley’ (Old English denu), or a habitational name from any of several places in various parts of England named Dean, Deane, or Deen from this word. In Scotland this is a habitational name from Den in Aberdeenshire or Dean in Ayrshire.English : occupational name for the servant of a dean or nickname for someone thought to resemble a dean. A dean was an ecclesiastical official who was the head of a chapter of canons in a cathedral. The Middle English word deen is a borrowing of Old French d(e)ien, from Latin decanus (originally a leader of ten men, from decem ‘ten’), and thus is a cognate of Deacon.Irish : variant of Deane.Italian : occupational name cognate with 2, from Venetian dean ‘dean’, a dialect form of degan, from degano (Italian decano).
Female
English
Scottish form of French Jeanne, JEAN means "God is gracious." Compare with masculine Jean.
Male
English
Anglicized form of Irish Gaelic Cian, KEAN means "ancient, distant."
Male
English
 English occupational surname transferred to forename use, from the Latin word decanus, DEAN means "dean; ecclesiastical supervisor."
Female
English
Pet form of Welsh Mared, MEGAN means "pearl."Â
Male
Hebrew
Short form of Hebrew Immanuw'el (English Immanuel), MAN means "God is with us."
Surname or Lastname
Irish
Irish : variant spelling of Keane.English : variant spelling of Keen.
Surname or Lastname
English
English : metonymic occupational name for a grower or seller of beans, from Old English bēan ‘beans’ (a collective singular). Occasionally it may have been applied as a nickname for a someone considered of little importance.English : nickname for a pleasant person, from Middle English bēne ‘friendly’, ‘amiable’ (of unknown origin; there is apparently no connection with Bain or Bon).Scottish : Anglicized form of the Gaelic personal name Beathán, a diminutive of beatha ‘life’.Translation of German Bohne, or an altered spelling of Biehn. See also Bihn.Mistranslation of French Lefevre. As the vocabulary word fèvre ‘smith’ was replaced by forgeron, the meaning of the old word became opaque, and the surname was reinterpreted as if it were La fève, from fève ‘(fava) bean’. Lefevre is the most common name in French Canada; great numbers of them migrated to the US, where many adopted the name Bean, in the belief that it was a translation of Lefèvre. See also Lafave.
Surname or Lastname
English (chiefly Devon)
English (chiefly Devon) : nickname for a thin or lean person, from Middle English lene ‘lean’ (Old English hlǣne).Irish : reduced Anglicized form of Gaelic Ó Liatháin (see Lehane).Reduced form of Scottish McLean.
Surname or Lastname
Irish
Irish : shortened form of McMeans.English : habitational names from East and West Meon in Hampshire, which take their names from the Meon river. The word is Celtic but of uncertain meaning, possibly ‘swift one’.nickname from Middle English mene ‘inferior in rank’, ‘of low degree’ (from Old English gemǣne), or from Middle English mene ‘moderate in behaviour’ (from Old French mëen, mean).
Girl/Female
Hindu
Precious blue stone, Fish, Jewel (Wife of the himalayas)
Male
French
A derivative of Anglo-Norman French Jehan, JEAN means "God is gracious." Compare with feminine Jean.
Female
Hungarian
Hungarian feminine form of Latin Timæus, TÃMEA means "honor."
Surname or Lastname
French
French : from the personal name Jean, French form of
John.English : variant of Jayne.A Vivien Jean, recorded in Canada in 1681, was also known as
Boy/Male
Hindu
Lecturer, Respect, Supernatural power, Lord of mind
Surname or Lastname
English
English : status name from Middle English squyer ‘esquire’, ‘a man belonging to the feudal rank immediately below that of knight’ (from Old French esquier ‘shield bearer’). At first it denoted a young man of good birth attendant on a knight, or by extension any attendant or servant, but by the 14th century the meaning had been generalized, and referred to social status rather than age. By the 17th century, the term denoted any member of the landed gentry, but this is unlikely to have influenced the development of the surname.
MEAN SQUARED-ERROR
MEAN SQUARED-ERROR
Boy/Male
Celtic Gaelic
Harmony, stone, or noble. Also fair, handsome. Originally a saint's name, it was reintroduced to...
Girl/Female
Teutonic
Firm defender.
Girl/Female
Gujarati, Hindu, Indian
One who Gets Credit; Brainy
Girl/Female
Tamil
Heart
Boy/Male
Afghan, Arabic, Indian, Muslim, Parsi
Birth; Christmas
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Light
Girl/Female
Australian, Chinese, French
Lioness; Feminine of Leon; Brave
Girl/Female
Muslim/Islamic
Brave Acclaim
Boy/Male
English Scottish
Surname.'beloved.
Boy/Male
French
Horseman; knight.
MEAN SQUARED-ERROR
MEAN SQUARED-ERROR
MEAN SQUARED-ERROR
MEAN SQUARED-ERROR
MEAN SQUARED-ERROR
a.
Having a shape broad for the height, with rectilineal and angular rather than curving outlines; as, a man of a square frame.
imp. & p. p.
of Squire
n.
Hence, anything which is square, or nearly so
a.
Forming a right angle; as, a square corner.
n.
One who squares, or quarrels; a hot-headed, contentious fellow.
a.
Rendering equal justice; exact; fair; honest, as square dealing.
imp. & p. p.
of Square
n.
A quantity having an intermediate value between several others, from which it is derived, and of which it expresses the resultant value; usually, unless otherwise specified, it is the simple average, formed by adding the quantities together and dividing by their number, which is called an arithmetical mean. A geometrical mean is the square root of the product of the quantities.
n.
An instrument having at least one right angle and two or more straight edges, used to lay out or test square work. It is of several forms, as the T square, the carpenter's square, the try-square., etc.
superl.
Penurious; stingy; close-fisted; illiberal; as, mean hospitality.
superl.
Of poor quality; as, mean fare.
n.
A square piece or fragment.
a.
Of or pertaining to a square, or to squares; resembling a quadrate, or square; square.
n.
A square. See 1st Squire.
a.
Average; having an intermediate value between two extremes, or between the several successive values of a variable quantity during one cycle of variation; as, mean distance; mean motion; mean solar day.
n.
One who, or that which, squares.
imp. & p. p.
of Mean
superl.
Wanting dignity of mind; low-minded; base; destitute of honor; spiritless; as, a mean motive.
v. i.
Wanting fullness, richness, sufficiency, or productiveness; deficient in quality or contents; slender; scant; barren; bare; mean; -- used literally and figuratively; as, the lean harvest; a lean purse; a lean discourse; lean wages.