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  Encyclopedia of Keywords > Science > Mathematics > Statistics > Correlation > Coefficient   Michael Charnine

Keywords and Sections
INDEPENDENT VARIABLE
DEPENDENT
TEMPERATURE
SET
FORMULAS
INVERSE
DENOMINATOR
FRACTION
REFLECTION COEFFICIENT
MAGNITUDE
T-STATISTIC
TEST STATISTIC
SCORES
NUMBER
ESTIMATED
RELIABILITY
COEFFICIENT MATRIX
MATRIX
CHANGE
CALCULATING
HIGHER
DISPERSION
COHOMOLOGY
DISTRIBUTION
SAMPLE SIZE
MODEL
GOODNESS
ELASTICITY
STRENGTH
FUNCTION
RELATIONSHIP
COVARIANCE
COVARIANCE MATRIX
PROPORTIONAL
PROPORTION
POSITIVE
NEGATIVE
TEST
DATA SET
DATA
VARIABILITY
ACCURACY
DEGREE
EQUAL
DETERMINANT
RATIO
Review of Short Phrases and Links

    This Review contains major "Coefficient"- related terms, short phrases and links grouped together in the form of Encyclopedia article.

Definitions

  1. This coefficient is an estimate of the ratio of explained variation to the total variation in the data.
  2. The coefficient is -5, the variables are x and y, the degree of x is two, and the degree of y is one.
  3. The coefficient is the expected correlation of one test form with an alternate form that contains the same number of items. (Web site)
  4. The coefficient is a measure of the difficulty incurred as two materials slide over each other.
  5. Each coefficient is a function of the angle of attack and Reynolds' number.

Independent Variable

  1. This R² is a proportional reduction in error (PRE) coefficient and gives us an idea of the effect size (ES) of our independent variable.

Dependent

  1. The convective heat transfer coefficient (h) is dependent upon the physical properties of the fluid and the physical situation. (Web site)

Temperature

  1. The temperature coefficient of energy divided by a substance-like quantity (amount of substance, mass, volume) describing the sample.
  2. Over sizable ranges of temperature, this temperature dependence can be predicted from a temperature coefficient of resistance. (Web site)
  3. Pure silicon has a negative temperature coefficient of resistance, since the number of free charge carriers increases with temperature. (Web site)

Set

  1. Coefficient of Variance Degree to which a set of data points varies.
  2. The cardinality of the set of all integer coefficient linear equations is (Z-{0})×Z. The leading coefficient of a polynomial should not be zero. (Web site)
  3. The set of all formal Laurent series in the variable x over the coefficient ring K is denoted by K((x)).

Formulas

  1. The pressure coefficient in the formulas below for the standard atmosphere is 6.11. (Web site)
  2. One of these formulas, the fourth power of the correlation coefficient is used to determine the direction of dependency between two random variables.
  3. Since the Gini coefficient is half the relative mean difference, it can also be calculated using formulas for the relative mean difference.

Inverse

  1. Heat transfer coefficient is the inverse of thermal insulance.

Denominator

  1. The denominator of the Pearson correlation coefficient is the geometric mean of the two variances.

Fraction

  1. The sample correlation coefficient is the fraction of the variance in y i that is accounted for by a linear fit of x i to y i .
  2. The emissivity is also equal to the absorption coefficient, or the fraction of any thermal energy incident on a body that is absorbed. (Web site)

Reflection Coefficient

  1. The reflection coefficient of the feed as a function of the frequency ca be obtained.
  2. This value between 0 and 100 adjusts the reflection coefficient used in specular highlight calculations. (Web site)
  3. The reflection coefficient is closely related to the transmission coefficient.

Magnitude

  1. Furthermore, the magnitude of the reflection coefficient is a funct ion of the selected reference impeda nce and offers little intuitive insight.
  2. The coefficient of friction of rubber on the road limits the magnitude of the vector sum of the transverse and longitudinal force. (Web site)
  3. Hill coefficient for estimating the magnitude of cooperativity in gating transitions of voltage-dependent ion channels.

T-Statistic

  1. The coefficient of CUBED HH SIZE has estimated standard error of 0.0131, t-statistic of 0.1594 and p-value of 0.8880.

Test Statistic

  1. In both cases the formula is simply that the test statistic is the coefficient divided by its standard error. (Web site)

Scores

  1. A correlation or relationship between the two scores is represented with a coefficient.

Number

  1. The number of sets with k elements in the power set of a set with n elements will be a combination C(n, k), also called a binomial coefficient.
  2. Example of filters include: number of missing value, coefficient of variation of expression measures, ANOVA p-value, Cox model p-values.
  3. Correlational statistics yield a number called the coefficient of correlation. (Web site)

Estimated

  1. For example, a path coefficient whose value is estimated as being close to zero may be treated as zero by the SEM program's matrix inversion algorithm. (Web site)
  2. Using this data, local population variability as expressed by the coefficient of variation was estimated.
  3. Suppose that a coefficient is estimated correctly by some estimator. (Web site)

Reliability

  1. If the reliability coefficient for a measure has been determined, then error variance = (1 - reliability)*standard deviation squared.
  2. As a rule of thumb, covariates should have a reliability coefficient of.80 or higher.
  3. They demonstrated that the loss in the efficiency in estimation of the reliability coefficient can be severe.

Coefficient Matrix

  1. A matrix form of a linear system of equations obtained from the coefficient matrix as shown below. (Web site)
  2. Since the coefficient matrix contains small integers, it is appropriate to use the format command to display the solution in rational format. (Web site)
  3. First, its rate of convergence does not depend strongly on the nature of the coefficient matrix of the equations to be solved.

Matrix

  1. Works only for square systems of linear equations where the determinant of the coefficient matrix isn't zero.
  2. It is that same coefficient matrix, but you replace the column represented by the variable you are solving for with the column vector of constants.
  3. For the previous example, the coefficients of the equations can be stored in a coefficient matrix. (Web site)

Change

  1. Thermal Coefficient of Resistance: The change in resistance of a semiconductor per unit change in temperature over a specific range of temperature.
  2. In order to maintain the degenerate vertex while changing the RHS values, one must change the RHS proportion to the coefficient of the decision variables.
  3. In this case, append to and change to be the inverse of the coefficient matrix in the mixed model equations. (Web site)

Calculating

  1. Tolerance is part of the denominator in the formula for calculating the confidence limits on the b (partial regression) coefficient. (Web site)
  2. Relationships between HIV-1 RNA concentration and number of nucleotide changes were determined by calculating the Pearson correlation coefficient.
  3. Calculating the Bhattacharya coefficient involves a rudimentary form of integration of the overlap of the two samples.

Higher

  1. The higher the coefficient, the greater an increase in electrical resistance for a given temperature increase. (Web site)
  2. This explains why germanium has a negative temperature coefficient of resistance, i.e., the higher the temperature, the lower the resistance. (Web site)
  3. The higher the coefficient, the more unequal the distribution is. (Web site)

Dispersion

  1. In this way, the coefficient of variation error describes the degree of dispersion of a data set relative to a measure of its central tendency. (Web site)

Cohomology

  1. Whenever this is the case, we get a graded ring R called the "coefficient ring" of our theory, which is simply the cohomology ring of the one-point space.
  2. There is also a universal coefficient theorem for cohomology, involving the Ext functor.

Distribution

  1. If a distribution is skewed to the left (negative skewness) then the relationship is reversed; in which case the coefficient is less than zero.
  2. In a binormal distribution, the empirical correlation coefficient is a biased estimator of the coefficient of correlation of the distribution.
  3. Such a modified solvent preferably has a coefficient of distribution (K d) of greater than 10, and more preferably greater than 15. (Web site)

Sample Size

  1. The simplest version of the test statistic from this auxiliary regression is TR 2, where T is the sample size and R 2 is the coefficient of determination. (Web site)
  2. The most common way to improve the coefficient of variation requires increases in sample size that are typically expensive to accomplish. (Web site)
  3. The contingency coefficient is computed as the square root of chi-square divided by chi-square plus n, the sample size.

Model

  1. There is very little change in the coefficient of x1 from model one (2 predictors) to this model.
  2. The coefficient estimates are determined while controlling for all other variables in the model. (Web site)
  3. The coefficient of determination R 2 is a measure of the global fit of the model. (Web site)

Goodness

  1. The coefficient of determination (R 2), which ranges between 0 and 1, indicates the goodness of fit of a regression model.
  2. Such enumerated goodness of fit is referred to as a correlation coefficient. (Web site)

Elasticity

  1. If the coefficient of elasticity is greater than one the response is elastic. (Web site)
  2. The absolute value of the coefficient of price elasticity of demand for cigarettes is a.0.1.
  3. As the ratio falls the coefficient of elasticity increases.

Strength

  1. Association refers to the coefficient that measures the strength of the relation between variables.
  2. Multiple R, also called the coefficient of determination, is a handy measure of the strength of the overall linear relationship. (Web site)
  3. Correlation Coefficient Denoted rxy, is a measure of the strength of the linear association between the independent (x) and dependent variable (y).

Function

  1. Return value: Function returns the correlation coefficient for the arrays vXValues and vYValues. (Web site)
  2. The function read.matrix.hb returns a list of class matrix.csc.hb or matrix.ssc.hb depending on how the coefficient matrix is stored in the file.
  3. For example, d ij could be calculated as the Euclidean distance or as a function of the correlation coefficient (see Forming the Distance Matrix below). (Web site)

Relationship

  1. One last number that can be helpful in understanding the relationship between two variables is the coefficient of determination. (Web site)
  2. The multiple correlation coefficient quantifies the strength of the relationship between the dependent and independent variable(s) in regression modeling.
  3. It gives a good visual picture of the relationship between the two variables, and aids the interpretation of the correlation coefficient or regression model.

Covariance

  1. Statistical Review - Free formulae of rules for the expectation of mean, variance, covariance, correlation coefficient, proofs available for purchase. (Web site)
  2. The analysis of covariance F tests are equivalent to testing whether the coefficient of the dummies are significantly different from one another. (Web site)
  3. Covariance and the coefficient of correlation.

Covariance Matrix

  1. Heteroskedasticity-consistent estimation of the covariance matrix of the coefficient estimates in regression models. (Web site)
  2. The coefficient of variation on each estimated model parameter was calculated using the diagonal elements of the covariance matrix.
  3. The thresholds are stored as the last elements of the coefficient vector and correspond to the last rows and columns of the covariance matrix. (Web site)

Proportional

  1. The constant is proportional to the concentration of the reactant and to the square root of the diffusion coefficient of the reactant. (Web site)
  2. The apparatus and methods of this invention are based on the fact that the absorption coefficient of blood is proportional to hemoglobin concentration. (Web site)

Proportion

  1. Coefficient of Determination: R 2 is the proportion of variance explained between two variables.
  2. With respect to regression, the sample correlation coefficient r is the proportion of the variation in Y which is explained by Y's linear dependence on X.

Positive

  1. For when the polynomial is of even degree (and the leading coefficient is positive), then an even power of a negative number will be positive.
  2. In multiple regression analysis, the association between hemoglobin and PCS was positive (regression coefficient 0.02, p = 0.003).
  3. If the beta coefficient of gender were positive, this would mean that males are taller than females. (Web site)

Negative

  1. The coefficient of a term may be any number, including fractions, irrational numbers, negative numbers, and complex numbers. (Web site)
  2. Suppose one measures two variables for each member of a group of individuals, and that the correlation coefficient of the variables is positive (negative). (Web site)
  3. The temperature coefficient can be negative as in typical thermistors or positive for temperature sense diodes down to about 20 kelvins. (Web site)

Test

  1. A Wald test is used to test the statistical significance of each coefficient (b) in the model. (Web site)
  2. This is actually a test on the variance of the coefficient: we test if this variance is significantly different from zero. (Web site)
  3. The value of the correlation coefficient between the two sets of scores is a reasonable quantitative measure of predictive validity of the new test.

Data Set

  1. Pearson's product moment correlation coefficient - the most widely used linear correlation coefficient for a data set. (Web site)

Data

  1. Coefficient of variation: It is a measure of spread for a set of data. (Web site)
  2. In this situation the coefficient estimates may change erratically in response to small changes in the model or the data. (Web site)
  3. Then to use these statistical measures to find the best fitting line for the set of data and the correlation coefficient of the two variables.

Variability

  1. The coefficient of determination is the amount of variability that can be accounted for in one variable by knowing a second variable. (Web site)

Accuracy

  1. To evaluate the accuracy of parameter estimates, we calculated the coefficient of variability (CV) for each model parameter estimate. (Web site)
  2. The accuracy of the calibration coefficient determination is limited by the photon counting statistics.
  3. Three measures of accuracy were tested in this study, namely overall accuracy, error matrix and Kappa coefficient. (Web site)

Degree

  1. The coefficient of linear expansion is expressed as the linear expansion per unit length for one degree of temperature increase. (Web site)
  2. The highest occurring power of x (n if the coefficient a n is not zero) is called the degree of f; its coefficient is called the leading coefficient. (Web site)
  3. The minimal polynomial m(x) of a square matrix is the polynomial of least degree, and with leading coefficient 1, such that m(T) is the zero matrix.

Equal

  1. The regression coefficient between two normalized vectors is equal to the correlation coefficient. (Web site)
  2. In particular, the standard error of each coefficient is equal to square root of the j -th diagonal element of this matrix.
  3. For example, to test the hypothesis that the coefficient on the price term is equal to 2, we will perform a Wald test. (Web site)

Determinant

  1. A square matrix has an inverse if and only if its determinant has an inverse in the coefficient ring.
  2. Note that the coefficient in this last expression is precisely the determinant of the matrix [ v w].
  3. If this coefficient matrix has a determinant then the set S spans V (is a spanning set), otherwise the determinant is zero and S is not a spanning set.

Ratio

  1. Coefficient of drag is a dimensionless number, meaning it is a ratio between two numbers in the same units; in this case the units are units of area. (Web site)
  2. The coefficient of friction is the ratio of the force required to achieve this relative motion to the force pressing the two bodies together. (Web site)
  3. The coefficient of restitution is defined as the ratio of relative velocity of separation to relative velocity of approach. (Web site)

Categories

  1. Science > Mathematics > Statistics > Correlation
  2. Determination
  3. Science > Mathematics > Variable > Variables
  4. Manufacturing > Measurement > Force > Friction
  5. Information > Evaluation > Analysis > Standard Deviation

Related Keywords

    * Binomial Coefficient * Coefficients * Constant * Correlation * Correlation Coefficient * Dependent Variable * Determination * Drag * Drag Coefficient * Dynamic Viscosity * Equation * Estimate * Expansion * Friction * Group Means * Heating Capacity * Intercept * Kurtosis * Mean * Measure * Null Hypothesis * Pearson * Pearson Correlation * Pearson Correlation Coefficient * Performance * Polynomial * Polynomials * Proportionality * Regression * Regression Coefficient * Regression Equation * Sample * Slope * Square * Squared * Squares * Standard Deviation * Statistic * Statistics * Sum * Thermal Conductivity * Thermal Expansion * Value * Values * Variable * Variables * Variance * Variation * Velocity * Viscosity * Zero
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  Short phrases about "Coefficient"
  Originally created: January 27, 2008.
  Links checked: April 07, 2013.
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