Sentence examples for a specified correlation from inspiring English sources
The procedure is demonstrated on a base-excited system whereby ground motion is modeled as a stochastic process with a specified correlation function and is approximated by its Karhunen Loeve expansion.
To run the simulations, a bivariate normal (mean 0, standard deviation 1) with a specified correlation was created for a trial of a given sample size equally divided in two groups.
In multi-pollutant models, power calculations can reflect the power for estimating the effect of each pollutant given a specified correlation with other pollutants, but such calculations do not address the adequacy of the control for confounding or differential measurement error, which can be major issues in such models [ 5, 24].
The Mattson [ 22] method provides a way to generate non-normal random variates with specified correlation from non-normal random variates with known skewness and kurtosis.
The first method relies on the specified correlation structure being correct (non-robust SEs).
The association with ozone was robust to different methods of control for time trend and specified correlation structure.
Therefore we used Generalized Estimation Equation (GEE) method because it can ensure the consistency of estimates even when the specified correlation structure is not exactly the true correlation structure, and because the number of providers is relatively small and the length of time interval is short, [ 16].
Both sets of predictions are based on conditional expected values, ours came entirely from the specified correlation structure of the data (two parameters) and the mean (one parameter), theirs may include several parameters characterizing the mean vector and the covariance structure.
A model including these specified correlations resulted in a subsequent model having better fit to the constrained model, χ (66)=112.83, p<0.001, RMSEA=0.06, CFI=0.91.
Because of the already specified correlations described previously, the choice of these values has been limited.
Indeed, the compatibility conditions under which a joint normal distribution with a specified rank correlation matrix exist, imply that for any n ≥ 3 there are compatibility counterexamples (see Hürlimann (2012a), Theorem 3.1 and Corollary 4.2).
