Introduction: The ability to track motion is essential for many MRI applications. Specific applications of interest in our lab include retrospective and prospective 2D navigator echo motion artifact correction as well as post-process image averaging[l]. Previous attempts at motion tracking can be broadly classified into: 1) phase-based subtraction or 2) image-based pattern matching techniques. ...

This article investigates some unfamiliar properties of the Pearson product-moment correlation coefficient for the estimation of simple correlation coefficient. Although Pearson's r is biased, except for limited situations, and the minimum variance unbiased estimator has been proposed in the literature, researchers routinely employ the sample correlation coefficient in their practical applicati...

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In many (audio) processing algorithms, involving manipulation of discrete-time signals, the performance can vary strongly over the repertoire that is used. This may be the case when the signals from the various channels are allowed to be strongly positively or negatively correlated. We propose and analyze a general formula for tracking the (time-dependent) correlation between two signals. Some ...

Inference concerning the correlation coefficient of two random variables from the bivariate normal distribution has been investigated by many authors. In particular, Fisher [1915. Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population. Biometrika 10, 507–521] and Hotelling [1953. New light on the correlation coefficient and its trans...

Recently, Fullér et al. [Fuzzy Sets and Systems, 2010] introduced a new f -weighted index of interactivity, ρf (A,B), between marginal possibility distributions A and B of a joint possibility distribution C for any weighting function f . They also left two open questions in connection with the lower limit for f -weighted possibilistic correlation coefficient related to the improved index of int...

• In this lesson, we will learn how to measure the coefficient of correlation for two sets of ranking. • The coefficient of correlation, r, measures the strength of association or correlation between two sets of data that can be measured. Sometimes, the data is not measurable but can only be ordered, as in ranking. • For example, two students can be asked to rank toast, cereals, and dim sum in ...