Statistical correlation between

LEED patterns at 0 = 1 /4, but was identified at lower coverages in islands surrounded by mobile sulfur atoms at platinum, rhodium and rhenium surfaces. Sautet and co-workers42 have analysed the statistical correlations between the intensities of sulfur features in p(2 x 2) islands on rhenium surfaces and also of streaks in areas between islands, which they attribute to sulfur atoms diffusing under the tip (Figure 10.12). 

Since the comparison of rxy with the table values may be considered a somewhat weak test, it is perhaps more meaningful to compare the tr value with values in a t-distribution table for N-2 degrees of freedom (df), as is done for Student s I-tcst. This will give a more exact determination of the degree of statistical correlation between the two groups. 

The research was greatly facilitated by two important elements. The (formal, perturbative) solution of the Liouville equation is greatly simplified by a Fourier representation (see Appendix). The latter allows one to easily identify the various types of statistical correlations between the particles. The traditional dynamics thus becomes a dynamics of correlations. The latter is completed by... 

There is no statistical correlation between good grades and success in life. For most of us, our performance in school was a major... 

A more common use of informatics for data analysis is the development of (quantitative) structure-property relationships (QSPR) for the prediction of materials properties and thus ultimately the design of polymers. Quantitative structure-property relationships are multivariate statistical correlations between the property of a polymer and a number of variables, which are either physical properties themselves or descriptors, which hold information about a polymer in a more abstract way. The simplest QSPR models are usually linear regression-type models but complex neural networks and numerous other machine-learning techniques have also been used. 

Erythrocytic effect. Hydrogenated coconut oil, administered orally to healthy rats for 10 weeks, produced a significant effect on five of the six classes of erythrocytes identified. The proportion of cells in each class was dependent on the diet. There was no significant effect of diet on erythrocyte filterability index and no statistical correlation between erythrocyte filterability index and morphology " . 

Public concern about industrial chemical exposures might also be misguided. The EPA typically uses mathematical dispersion models to calculate human exposure to chemicals released into the air by major stationary sources like factories and power plants. There is little evidence that the models are predictive. In one experiment, a tracer gas was released from the Alaska pipeline terminus at Valdez. Actual exposure, as measured by personal exposure badges, was compared with the predictions of the EPA dispersion model. The statistical correlation between them was near zero (— 0.01), meaning the predictions were worthless (Wallace 1993, 137-38). 

The random walk model may be generalized by introducing a statistical correlation between two successive steps, in such a way that the probability a for a step in the same direction as the previous step differs from the probability ft for a step back ( random walk with persistence ). In this case... 

The crudest approximation to the density matrix for the system is obtained by assuming that there are no statistical correlations between the elementary excitations (perfect fluid), so that can be written as a simple product of molecular density matrices A. A better approximation is obtained if one does a quantum field theory calculation of the local field effects in the system which in a certain approximation gives the Lorentz-Lorenz correction L(TT) in terms of the refractive index n53). One then writes,... 

In this section we present in some detailed form the statistical correlation between the values of a property in a chain of successive values generated by computer simulation. Two concepts are used, the statistical correlation and the statistical inefficiency. Although these two concepts are related they are obtained by using different... 

The variance of the average tends to a constant when the size of the chain /) tends to infinity and it is easy to see that, on the same condition, the error tends to zero. Flowever, Eq. (7-3) is correct only when the successive values of the chain fi are independent, or statistically uncorrelated. If there exists statistical correlation between the values this equation changes to... 

The statistical correlation between two different quantities can be calculated through the correlation coefficient [38,39] and this concept is usually extended by... 

Gawel, R., Francis, L., Waters, E. J. (2007a) Statistical correlations between the in-mouth textural characteristics and the chemical composition of Shiraz wines. Journal of Agricultural and Food Chemistry, 55, 2683-2687. 

V. Galiatsatos, Makromol. Chem., Macromol. Symp., 65, 29 (1993). Statistical Correlation Between Configuration-Dependent Properties of Polymer Chains. 

For all the models considered, the time dependence of the value 2(0 i characterized by a spectrum of relaxation times. The greater the relative thermodynamic chain rigidity (i.e. the greater the statistical correlation between the neighboring effectively rigid kinetic units), the broader is this spectrum ... 

A separate analysis reveals that such proteins contain an inordinately large number of disulfide bonds, with an average of 11 when normalized to 100 amino acids. These observations prompt us to investigate the relation between structural deficiency and disulfide bonds in search for a balance equation that reflects a statistical correlation between structural strengths and vulnerabilities of soluble proteins and polypeptides. The balance equation unraveled in this chapter is likely to impact the design of soluble proteins and enable a better control of their functional modulation in relation to environmental redox conditions. 

Close the loop transform instruction Statistical correlations between/among criteria (rays of the star, spokes of the wheel)... 

Polyhedral water clusters (PWCs) possess a large variety of features that make them extremely convenient and attractive for theoretical analysis of unusual properties of water and ice. One important feature of PWCs is the essential dependence of their properties on the proton subsystem structure. The extensive theoretical analysis of PWCs energy profile was provided by Singer and co-authors and also by Anick." In a number of studies, statistical correlation between the stabilization energy of PWCs and structural characteristics was investigated, using modem quantum-chemical methods. 

In the Eromanga basin this conclusion is supported by the strong statistical correlation between the occurrence of major calcite-cemented zones and oil pools in Jurassic sandstones. This concept is particularly valuable if a correlation can be proved between the size of the hydrocarbon pools and the size of the carbonate cement volume (intensity and areal extent of high-amplitude events). 

The existence of statistical correlations between the subsystems leads to an overall situation less random than when the subsystems are statistically independent of (or very weakly coupled to) each other. 

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