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Condition when the angle of deviation is minimal in a prism
prism is minimum is called the minimum deviation position of the prism and that very deviation angle is known as the minimum angle of deviation (denoted
Minimum_deviation
Atmospheric optical phenomenon
{\pi }{3}}.} For n {\displaystyle n} = 1.309, the angle of minimum deviation is almost 22° (21.76°, when θ incidence {\displaystyle \theta _{\text{incidence}}}
22°_halo
Measure of variation in statistics
standard deviation is a measure of the amount of variation of the values of a variable about its (arithmetic) average. A low standard deviation indicates
Standard_deviation
Optical phenomenon of the sky
to the deviation angles of the primary and secondary rainbows. Both bows exist due to an optical effect called the angle of minimum deviation. The refractive
Alexander's_band
Statistical measure
The root mean square deviation (RMSD) or root mean square error (RMSE) is a frequently used measure of the distances between actual observed values and
Root_mean_square_deviation
Statistical optimality criterion
point-to-point lines for minimum sum of errors Simplex-based methods are the “preferred” way to solve the least absolute deviations problem. A Simplex method
Least_absolute_deviations
Atmospheric optical phenomenon
addition, as many rays are deflected at larger angles than the angle of minimum deviation, the outer edge of the halo is more diffuse. To tell the difference
46°_halo
American psychiatrist (1911–1979)
basically neutral technical position of the therapist, and only a minimum deviation from such a position of neutrality as might be necessary." Greenson
Ralph_Greenson
Data communications modulation protocol
WSJT-X and PSK Reporter software. For basic data rate Bluetooth the minimum deviation is 115 kHz. A GFSK modulator differs from a simple frequency-shift
Frequency-shift_keying
Statistical measure of variability
In statistics, the median absolute deviation (MAD), also referred to as the median absolute deviation from the median (MADFM), is a robust or outlier-resistant
Median_absolute_deviation
Optical phenomenon arising from refraction of sunlight through ice crystals
horizon, which causes sunlight to enter and exit the crystals at the minimum deviation angle; then it is also about 22° in radius, 1.5° in width. The CZA
Circumzenithal_arc
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
variation (CV), also known as normalized root-mean-square deviation (NRMSD), and relative standard deviation (RSD), is a standardized measure of dispersion of
Coefficient_of_variation
Transparent optical element with flat, polished surfaces that refract light
visual field of both eyes to the same extent. Eyeglass prescription Minimum deviation Multiple-prism dispersion theory Prism (geometry) Prism compressor
Prism_(optics)
English polymath (1642–1727)
observed that the spectrum of colours exiting a prism in the position of minimum deviation is oblong, even when the light ray entering the prism is circular
Isaac_Newton
How many standard deviations apart from the mean an observed datum is
In statistics, the standard score or z-score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point)
Standard_score
Measure of statistical dispersion
the first and third quartiles), half the IQR equals the median absolute deviation (MAD). The median is the corresponding measure of central tendency. The
Interquartile_range
Unbiased statistical estimator minimizing variance
the sample standard deviation is not unbiased for the population standard deviation – see unbiased estimation of standard deviation. Further, for other
Minimum-variance unbiased estimator
Minimum-variance_unbiased_estimator
Concept in radio transmission
Frequency deviation ( f Δ {\displaystyle f_{\Delta }} ) is used in FM radio to describe the difference between the minimum or maximum extent of a frequency
Frequency_deviation
Summary statistic of variability
The average absolute deviation (AAD) of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical
Average_absolute_deviation
Investment portfolio which occupies the "efficient" parts of the risk-return spectrum
portfolio exists with a higher expected return but with the same standard deviation of return (i.e., the risk). The efficient frontier was first formulated
Efficient_frontier
Categorisation of people's intelligence based on IQ
standard deviation above the mean, while a score of 85 means performance one standard deviation below the mean, and so on. This "deviation IQ" method
IQ_classification
Risk management technique in investing
standard deviation of the portfolio's return and R is the minimum acceptable return. If Portfolio A has an expected return of 10% and standard deviation of
Roy's_safety-first_criterion
Law of thermodynamics for vapour pressure of a mixture
hydrogen bond. The system HCl–water has a large enough negative deviation to form a minimum in the vapor pressure curve known as a (negative) azeotrope,
Raoult's_law
Bound on probability of a random variable being far from its mean
stating that a minimum of just 75% of values must lie within two standard deviations of the mean and 88.88% within three standard deviations for a broad
Chebyshev's_inequality
Statistical property
an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution. The standard error is often used in calculations
Standard_error
Estimation method that minimizes the mean square error
In statistics and signal processing, a minimum mean square error estimator (MMSE estimator) is an estimation method which minimizes the mean square error
Minimum mean square error estimator
Minimum_mean_square_error_estimator
Permissible limit or limits of variation
both components. Lower deviation The difference between the minimum possible component size and the basic size. Upper deviation The difference between
Engineering_tolerance
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
List of aircraft parts allowed to be inoperative in certain flight conditions
In aviation safety, master minimum equipment list, or MMEL, is a categorized list of on-board systems, instruments and equipment that may be inoperative
Master_minimum_equipment_list
Problem in statistical estimation
{m\ln(2)}{k-1}}} and the following approximations for the mean and standard deviation: N ≈ μ ± σ = 89 ± 50 , μ = ( m − 1 ) k − 1 k − 2 , σ = ( k − 1 ) ( m −
German_tank_problem
Formula for measuring financial risk
(a.k.a., minimum acceptable return, or MAR) and σ is standard deviation of returns. This ratio is just the Sharpe ratio, only using minimum acceptable
Sharpe_ratio
Statistical value representing the center or average of a distribution
distributions. Thus standard deviation about the mean is lower than standard deviation about any other point, and the maximum deviation about the midrange is
Central_tendency
Correction for sample variance bias
instead of n in the formula for the sample variance and sample standard deviation, where n is the number of observations in a sample. This method corrects
Bessel's_correction
Procedure to estimate standard deviation from a sample
estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical
Unbiased estimation of standard deviation
Unbiased_estimation_of_standard_deviation
Measurement in finance
consideration (originally called the minimum acceptable return MAR), and D R {\displaystyle DR} is the target semi-deviation (the square root of target semi-variance)
Sortino_ratio
Mathematical framework for investment risk
and return. The variance of return (or its transformation, the standard deviation) is used as a measure of risk, because it is tractable when assets are
Modern_portfolio_theory
Statistical distance measure
( x − μ ) / σ {\displaystyle z=(x-\mu )/\sigma } : how many standard deviations away P {\displaystyle P} is from the mean of D {\displaystyle D} . This
Mahalanobis_distance
Measure of distance between atoms of superimposed proteins
In bioinformatics, the root mean square deviation of atomic positions, or simply root mean square deviation (RMSD), is the measure of the average distance
Root mean square deviation of atomic positions
Root_mean_square_deviation_of_atomic_positions
Statistical measure of how far values spread from their average
defined 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
Greatest and least values in a statistical data sample
t-statistic of the sample maximum and minimum (subtracts sample mean and divides by the sample standard deviation), and if they are unusually large for
Sample_maximum_and_minimum
Data visualization
the whiskers can stand for several other things, such as: One standard deviation above and below the mean of the data set The 9th percentile and the 91st
Box_plot
Measure of linear correlation
between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such
Pearson correlation coefficient
Pearson_correlation_coefficient
Optical device for shortening laser pulses
spectrum to be compressed. This configuration is known as the "angle of minimum deviation", and is easier to align than arbitrary angles. The refractive index
Prism_compressor
Geometric condition for workpieces and tools
least squares reference plane minimum zone reference planes local flatness deviation root-mean-square flatness deviation The two-dimensional measures above
Flatness_(manufacturing)
Middle quantile of a data set or probability distribution
the range, the interquartile range, the mean absolute deviation, and the median absolute deviation. For practical purposes, different measures of location
Median
an+1 have deviation less than α. The deviation (if it exists) is the minimum value of α for which this is true. Not every poset has a deviation. The following
Deviation_of_a_poset
Statistical measure of the magnitude of a phenomenon
it is the first item (magnitude) in the MAGIC criteria. The standard deviation of the effect size is of critical importance, as it indicates how much
Effect_size
Statistical error measure
minimizes the arithmetic mean of the absolute deviations. More generally, a median is defined as a minimum of E ( | X − c | − | X | ) , {\displaystyle E(|X-c|-|X|)
Mean_absolute_error
Arithmetic mean of the maximum and the minimum
sum of squares of deviations and the median minimizes the average absolute deviation, the midrange minimizes the maximum deviation (defined as max | x
Mid-range
Statistical price volatility chart
times an N-period standard deviation above the moving average (MA + Kσ), and a lower band at K times an N-period standard deviation below the moving average
Bollinger_Bands
Statistical methods for comparing samples
differently). This also allows to determine required sample-size for a minimum-detectable-effect calculations. The test is related to other well known
Two-proportion_Z-test
Statistics concept
residuals are two closely related and easily confused measures of the deviation of an observed value of an element of a statistical sample from its "true
Errors_and_residuals
Statistical property quantifying how much a collection of data is spread out
absolute deviation (MAD) Average absolute deviation (or simply called average deviation) Distance standard deviation These are frequently used (together with
Statistical_dispersion
(such as sample mean) by a sample-based estimate of a population standard deviation. Unlike "normalization", where only the numerator is uncertain, Studentization
Studentization
Minimal models Minimal subtraction scheme Minimum Ionizing Particle Minimum audibility curve Minimum deviation Minimum total potential energy principle Minkowski
Index_of_physics_articles_(M)
Ratio of the desired signal to the background noise
is common, the denominator is its variance, the square of its standard deviation σN. The signal and the noise must be measured the same way, for example
Signal-to-noise_ratio
Type of statistics
mode, while measures of variability include the standard deviation (or variance), the minimum and maximum values of the variables, kurtosis and skewness
Descriptive_statistics
Voting system that makes outcomes proportional to vote totals
incorporating a third, regional, apportionment tier, or by specifying minimum thresholds. Proportional approval voting (PAV) is like STV in that voters
Proportional_representation
Type of continuous-phase frequency-shift keying
differ by exactly half a carrier period. Thus, the maximum frequency deviation is δ = 0.5 fm where fm is the maximum modulating frequency. As a result
Minimum-shift_keying
Decision rules for interpreting control-chart data
against time. The rules are based on the mean value and the standard deviation of the samples. The above eight rules apply to a chart of a variable value
Nelson_rules
Value that appears most often in a set of data
standard deviations of the mean, and the root mean square deviation about the mode is between the standard deviation and twice the standard deviation. An example
Mode_(statistics)
Fundamental theorem in probability theory and statistics
mean sample standard deviation divided by the square root of the sample size (~28.87/√n), which is called the standard deviation of the mean (since it
Central_limit_theorem
Guidelines for municipal parking
generation rate, the range of generation rates, the subsequent standard deviation, and the total number of studies. This process is done by various studies
Parking_mandates
Model selection principle
Minimum description length (MDL) is a model selection principle where the shortest description of the data is the best model. MDL methods learn through
Minimum_description_length
Mathematical statistics distance measure
term, by a function of the deviations observed between data and the model's predictions (like the mean squared deviation) . Estimates of such divergence
Kullback–Leibler_divergence
Dispersive prism
exits the prism at a deviation angle (relative to the light's original path) of exactly 60°. This is the minimum possible deviation of the prism, all other
Abbe_prism
Statistical modeling method
minimizing the "lack of fit" in some other norm (as with least absolute deviations regression), or by minimizing a penalized version of the least squares
Linear_regression
Statistical hypothesis test
if s was the actual standard deviation of x, while it is the sample standard deviation as the actual standard deviation is not generally known. Therefore
Student's_t-test
Distance in millimeters between the centers of each pupil
the IPD for each gender and sample size as the mean and standard deviation, minimum and maximum, and percentiles (e.g., 5th and 95th; 1st and 99th, 50th
Pupillary_distance
Statistical measure of process capability
higher index values indicate better performance, with zero indicating high deviation. A company produces axles with nominal diameter 20 mm on a lathe. As no
Process_capability_index
Planned deviation from an ideal dimension
In engineering and machining, an allowance is a planned deviation between an exact dimension and a nominal or theoretical dimension, or between an intermediate-stage
Allowance_(engineering)
Approximation method in statistics
dependent variable as a function of the independent variable and the deviations from the fitted curve. When the observations come from an exponential
Least_squares
Form of association rule learning
significant and large contrast set. The decision to prune is based on: The minimum deviation size: The maximum difference between the support of any two groups
Contrast_set_learning
Examination to determine eye misalignment
test is an objective determination of the presence and amount of ocular deviation. It is typically performed by orthoptists, ophthalmologists and optometrists
Cover_test
Measure of covariance of components of a random vector
were held constant. The standard deviation matrix S {\displaystyle \mathbf {S} } is the extension of the standard deviation to multiple dimensions. It is
Covariance_matrix
Details of data storage in a spreadsheet application
issues: round off, truncation, and binary storage, accumulation of the deviations of the operands in calculations, and worst: cancellation at subtractions
Numeric precision in Microsoft Excel
Numeric_precision_in_Microsoft_Excel
Graphical representation of the distribution of numerical data
}}}{\sqrt[{3}]{n}}},} where σ ^ {\displaystyle {\hat {\sigma }}} is the sample standard deviation. Scott's normal reference rule is optimal for random samples of normally
Histogram
Class of statistical tests
the sample maximum and minimum and computes their z-score, or more properly t-statistic (number of sample standard deviations that a sample is above or
Normality_test
Statistical considerations on how many observations to make
{1}{N_{h}}}\right),} which can be made a minimum if the sampling rate within each stratum is made proportional to the standard deviation within each stratum: n h /
Sample_size_determination
Range to estimate an unknown parameter
calculating the sample mean X ¯ {\displaystyle {\bar {X}}} and sample standard deviation S {\displaystyle S} and using the asymptotically standard normal quantity
Confidence_interval
Statistical hypothesis test
2022-11-12. Pearson, Karl (1900). "On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such
Chi-squared_test
Variance outlier test
estimate of a variance (or a standard deviation) is significantly larger than a group of variances (or standard deviations) with which the single estimate is
Cochran's_C_test
Examination of Examinations. Reducing Observations by the Method of Minimum Deviations, Phil. Magazine 7th Series. Pp. 974 – 992, 1930 Young Offenders, an
E._C._Rhodes
Clock deviation from perfect periodicity
In electronics and telecommunications, jitter is the deviation from true periodicity of a presumably periodic signal, often in relation to a reference
Jitter
Number of occurrences in an experiment or study
data. There are simple algorithms to calculate median, mean, standard deviation etc. from these tables. Statistical hypothesis testing is founded on the
Frequency_(statistics)
Measure of the joint variability
geometric mean of the total variances (i.e., the product of the standard deviations) for the two random variables. A distinction is made between (1) the covariance
Covariance
Non-informative prior distribution
} with μ {\textstyle \mu } fixed, the Jeffreys prior for the standard deviation σ > 0 {\textstyle \sigma >0} is p ( σ ) ∝ I ( σ ) = E [ ( d d σ log
Jeffreys_prior
Study of collection and analysis of data
summarize data from a sample using indexes such as the mean or standard deviation, and inferential statistics, which draw conclusions from data that are
Statistics
Observation in economics
products as similar as possible. This is also referred to as the principle of minimum differentiation as well as Hotelling's linear city model. The observation
Hotelling's_law
Probabilistic problem-solving algorithm
Mode Dispersion Average absolute deviation Coefficient of variation Interquartile range Percentile Range Standard deviation Variance Shape Central limit theorem
Monte_Carlo_method
Correction factor which describes the deviation of a real gas from ideal gas behavior
(Z), also known as the compression factor or the gas deviation factor, describes the deviation of a real gas from ideal gas behaviour. It is simply defined
Compressibility_factor
Statistical model validation technique
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 the shape of a function
the variance. The positive square root of the variance is the standard deviation σ ≡ ( E [ ( x − μ ) 2 ] ) 1 2 . {\displaystyle \sigma \equiv \left(\operatorname
Moment_(mathematics)
Statistical test
of a set of data. However, the Z-test requires knowing the population deviation, which is sometimes difficult to determine, making the t-test more convenient
Z-test
Concept in inferential statistics
statistical significance is often expressed in multiples of the standard deviation or sigma (σ) of a normal distribution, with significance thresholds set
Statistical_significance
Tool to assess control of a manufacturing process
standard deviation, the [clarification needed] does not make the assumption of homogeneity of process over time that the standard deviation makes. Upper
Control_chart
Statistical test
deviation, respectively. The Grubbs test statistic is the largest absolute deviation from the sample mean in units of the sample standard deviation.
Grubbs's_test
Processes that maintain quality at a constant level
Mode Dispersion Average absolute deviation Coefficient of variation Interquartile range Percentile Range Standard deviation Variance Shape Central limit theorem
Quality_control
Type of statistical measure over subsets of a dataset
does not place high probability on very large deviations from the trend which explains why such deviations will have a disproportionately large effect on
Moving_average
Sequence of data points over time
time series with envelopes Global standard deviation Local standard deviation Windowed standard deviation Data interpreted as stochastic series Pearson
Time_series
MINIMUM DEVIATION
MINIMUM DEVIATION
Girl/Female
Arabic, Muslim
Increase; Excess; High Degree; Maximum; Feminine of Mazid
Boy/Male
Irish
Is the Irish form of Old English ead “â€richâ€â€ + mund “â€guardianâ€â€, and implies “â€guardian of the riches.â€â€ In more recent times the name has been given to honor Eamon De Valera who was President of Ireland for 14 years, the maximum allowed, from 1959 to 1973.
Boy/Male
Irish
Is the Irish form of Old English ead “â€richâ€â€ + mund “â€guardianâ€â€, and implies “â€guardian of the riches.â€â€ In more recent times the name has been given to honor Eamon De Valera who was President of Ireland for 14 years, the maximum allowed, from 1959 to 1973.
Girl/Female
English, Hindu, Indian, Marathi
Small Daughter
Boy/Male
African, Arabic
Far
Girl/Female
Christian, Gujarati, Hindu, Indian, Kannada, Marathi, Sindhi, Telugu
Wished-for Child
Boy/Male
Irish
Is the Irish form of Old English ead “â€richâ€â€ + mund “â€guardianâ€â€, and implies “â€guardian of the riches.â€â€ In more recent times the name has been given to honor Eamon De Valera who was President of Ireland for 14 years, the maximum allowed, from 1959 to 1973.
Girl/Female
Tamil
Wished for child
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
MINIMUM DEVIATION
MINIMUM DEVIATION
Girl/Female
American, Australian, British, English
Meadow of Ash Trees
Boy/Male
Hindu, Indian, Punjabi
Infinite; Great; Best; Endless
Female
Yiddish
(בַ×ש×Ö¸×) Yiddish form of Hebrew Basya, BASHA means "daughter of God."
Girl/Female
Hindu, Indian
Name of Dropadi
Girl/Female
Indian, Punjabi, Sikh
God of Happiness
Girl/Female
Hindu
Snake God, King of snakes
Boy/Male
Arabic, Indian, Muslim
Great; One who Glorifies God
Girl/Female
Indian
Innocent
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Consciousness
Boy/Male
Gujarati, Hindu, Indian
God Lover
MINIMUM DEVIATION
MINIMUM DEVIATION
MINIMUM DEVIATION
MINIMUM DEVIATION
MINIMUM DEVIATION
v. t.
To reduce to the smallest part or proportion possible; to reduce to a minimum.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
n.
A kind of minium, or red lead, made by calcining carbonate of lead, but inferior to true minium.
pl.
of Minimus
n.
A heavy, brilliant red pigment, consisting of an oxide of lead, Pb3O4, obtained by exposing lead or massicot to a gentle and continued heat in the air. It is used as a cement, as a paint, and in the manufacture of flint glass. Called also red lead.
n.
Anything very minute; as, the minims of existence; -- applied to animalcula; and the like.
n.
Minimum.
n.
The little finger; the fifth digit, or that corresponding to it, in either the manus or pes.
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
pl.
of Minimum
n.
A being of the smallest size.
n.
A minim.
a.
Of the color of minium or red lead; miniate.
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
A small American bird (Empidonax minimus); the least flycatcher.
n.
A coarse umbelliferous plant of Europe (Tordylium maximum).
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
pl.
of Maximum
a.
Of the color of red or vermilion.