In contrast to the ordinary use of the correlation coefficient, to assess significance of any apparent departure from a zero correlation, the rows and columns of one of the matrices are subjected to random permutations many times, with the correlation being recalculated after each permutation.
12.
Then " D " is the data transformed so every random variable has zero mean, and " T " is the data transformed so all variables have zero mean and zero correlation with all other variables the sample covariance matrix of " T " will be the identity matrix.
13.
While a true null hypothesis will be accepted 95 % of the time, the other 5 % of the times having a true null of no correlation a zero correlation will be wrongly rejected, causing acceptance of a correlation which is spurious ( an event known as Type I error ).
14.
In many contexts, the issue is less about determining if there is or is not a difference but rather with getting a more refined correlation between intelligence and job performance of around 0.50, a sample size of 20 will give us approximately 80 % power ( alpha = 0.05, two-tail ) to reject the null hypothesis of zero correlation.
15.
A "'Zadoff Chu ( ZC ) sequence "', also referred to as "'Chu sequence "'or "'Frank Zadoff Chu ( FCZ ) sequence "', is a complex-valued mathematical sequence which, when applied to radio signals, gives rise to an electromagnetic signal of constant amplitude, whereby cyclically shifted versions of the sequence imposed on a signal result in zero correlation with one another at the receiver.
16.
For conduct, the analysis pointed towards and . studied parent reports of the conduct of elementary school students and found a near-zero correlation of . 01 } } . studied 809 adolescents in American high schools, and found that, using the Normative Deviance Scale as a model for deviance, the correlation was . 28 } } for Caucasian students, and . 24 } } for African-American students.
