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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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
Statistical property
The standard error (SE) of a statistic is the standard deviation of its sampling distribution. It is the square root of the variance of an estimator of
Standard_error
Unbiased statistical estimator minimizing variance
In statistics a minimum-variance unbiased estimator (MVUE) or uniformly minimum-variance unbiased estimator (UMVUE) is an unbiased estimator that has
Minimum-variance unbiased estimator
Minimum-variance_unbiased_estimator
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
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 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
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
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
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
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)
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 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
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
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
Network utility used to test the reachability of a host
of the results, typically including the minimum, maximum, the mean round-trip times, and standard deviation of the mean. Command-line options and terminal
Ping_(networking_utility)
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
Measurement concept in nuclear physics
Minimum detectable activity (MDA) is the lowest activity of a radioactive nuclide that can be detected with a detector, to some confidence level.[page needed]
Minimum_detectable_activity
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
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
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
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
Guidelines for municipal parking
developments to provide a particular number of parking spaces. Parking minimums were first enacted in 1950s America during the post-war construction boom
Parking_mandates
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
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
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, "catastrophic cancellation"
Numeric precision in Microsoft Excel
Numeric_precision_in_Microsoft_Excel
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
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
Minimal models Minimal subtraction scheme Minimum Ionizing Particle Minimum audibility curve Minimum deviation Minimum total potential energy principle Minkowski
Index_of_physics_articles_(M)
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 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
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
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 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
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
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
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
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
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
sister station KOMO-DT2 (otherwise carrying Comet without any other local deviation) after CBS-owned KSTW's disaffiliation from the network on August 31.
2024_in_American_television
Model selection principle
Minimum description length (MDL) is a model selection principle where the shortest description of the data is judged to be the best model. MDL methods
Minimum_description_length
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
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
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
Statistical measure of the magnitude of a phenomenon
much uncertainty is included in the observed measurement. A standard deviation that is too large will make the measurement nearly meaningless. In meta-analysis
Effect_size
Unit of information
Mode Dispersion Average absolute deviation Coefficient of variation Interquartile range Percentile Range Standard deviation Variance Shape Central limit theorem
Data
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
Number taken as representative of a list of numbers
distributions. Thus standard deviation about the mean is lower than standard deviation about any other point, and the maximum deviation about the midrange is
Average
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)
Measure of performance in digital-to-analog and analog-to-digital converters
the maximum and minimum ideal output voltages of the DAC. For an ADC, the INL of a code c {\displaystyle c} is defined as the deviation of the mid-points
Integral_nonlinearity
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 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
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
Statistical amount
variable. Its expected value and standard deviation are related to the expected values and standard deviations of the observations, as follows. For simplicity
Weighted_arithmetic_mean
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
Probability distribution
median and mode), while the parameter σ2 is the variance. The standard deviation of the distribution is the positive value σ (sigma). A random variable
Normal_distribution
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
Concept in statistics
scale, such as to estimate the population variance or population standard deviation, one generally must multiply by a scale factor to make it an unbiased
Trimmed_estimator
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
(such as sample mean) by a sample-based estimate of a population standard deviation. Unlike "normalization", where only the numerator is uncertain, Studentization
Studentization
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
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
Method used to normalize the range of independent variables
standard deviation. x′=x−x¯σ Where x is the original feature vector, x¯=average(x) is the mean of that feature vector, and σ is its standard deviation. Robust
Feature_scaling
Statistic used in statistical hypothesis testing
means under stringent conditions regarding normality and a known standard deviation. A t-test is appropriate for comparing means under relaxed conditions
Test_statistic
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)
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
Formal information theory restatement of Occam's Razor
Minimum message length (MML) is a Bayesian information-theoretic method for statistical model comparison and selection. It provides a formal information
Minimum_message_length
Approach in data analysis
aid statistical analysis, for example to compute the mean or standard deviation. They were also removed to better predictions from models such as linear
Anomaly_detection
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
Probability distribution
\right){\frac {\sqrt {n}}{s}},} which differs from Z in that the exact standard deviation σ is replaced by the sample standard error s, has a Student's t-distribution
Student's_t-distribution
In cribbage, the probability and maximum and minimum score of each type of hand can be computed. There are 12,994,800 possible hands in Cribbage: 52 choose
Cribbage_statistics
Single measure of some attribute of a sample
mean, sample median, and sample mode Sample variance and sample standard deviation Sample quantiles besides the median, e.g., quartiles and percentiles Test
Statistic
Ratio of the desired signal to the background noise
mean to standard deviation of a signal or measurement: SNR=μσ where μ is the signal mean or expected value and σ is the standard deviation of the noise,
Signal-to-noise_ratio
Term in statistical hypothesis testing
(such as a difference in means expressed as a multiple of the standard deviation). If the researcher is looking for a larger effect, then it should be
Power_(statistics)
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)
Statistical phenomenon
coefficient between x and y, sx is the standard deviation of x, and sy is correspondingly the standard deviation of y. Horizontal bar over a variable means
Regression_toward_the_mean
Diagnostic plot of binary classifier ability
standard deviations of the target and lure strength distributions. If the standard deviations are equal, the slope will be 1.0. If the standard deviation of
Receiver operating characteristic
Receiver_operating_characteristic
Anime and manga pornography
Hentai (ヘンタイ, deviation/abnormality; 変態) is a style of Japanese pornographic anime and manga. In addition to anime and manga, hentai works exist in a
Hentai
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
Probability distribution
(c − a), linearly for the mean deviation and nonlinearly for the variance: (mean deviation around mean) ( Y ) = ( (mean deviation around mean) ( X ) ) ( c −
Beta_distribution
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