LAUSR

Abstract In this paper, we proposed a statistical test for the Multiple Detrended Correlation Coefficient D M C x 2 . The D M C x 2 is a measure of total association between the dependent variable, Y , with other p independent variables, X all with the same length N . D M C x 2 is based on the generalization of the ρ ( X i , X j ) cross-correlation coefficient. With this methodology, it is possible to evaluate the statistical significance of D M C x 2 for different levels confidence. Findings on this research show that rejection or non-rejection of the null hypothesis of D M C x 2 also depends on the size N of the series and the time scale n evaluated. Our findings also show a behavior pattern in the critical values of D M C x 2 . Fixing the size of the series ( N ) , as the size of the time scale n increases, the critical values tend to increase.