Sentence examples for trace statistic from inspiring English sources
The mass and snout vent length (SVL) of females was compared between sites using MANOVA, and Pillai's trace statistic was used to assess statistical significance.
Under the assumption that the trace statistic is equal to 6.7905, the critical value is equal to 15.4947 at the 5% significance level.
The trace statistic and the Max-Eigen statistic of the alternative hypothesis "at most one co-integration relationship" are less than the 0.05 critical value.
In this paper, the trace statistic and maximum eigenvalue test are used to determine whether there is a co-integration relationship.
The trace statistic value is smaller than the 0.05 critical value, so it cannot reject the original hypothesis that there is no cointegration relationship.
The test results that the trace statistic and the Max-Eigen statistic of the original hypothesis "no co-integration relationship" are greater than the 0.05 critical value.
The Johansen co-integration test has two test statistics: the trace test statistic (mathop lambda nolimits_{text{trace}}) and the maximum eigenvalue test statistic (mathop lambda nolimits_{hbox{max} }), which are shown in Eq. (4) and Eq. (5).
Hotelling's trace statistics, being a natural measure of distance between two clusters of points, can be used as a test statistic to determine the significance of the observed test statistic.
The analysis indicated a significant difference between the two groups on the test battery (Exact F5,59 = 5.00, P < 0.001, Pillai's trace test statistic).
The data were submitted to a manova and a significant difference between the two groups was found (Exact F5,42 = 3.743, P < 0.01, Pillai's trace test statistic).
When the remaining data were entered into a manova, a significant difference between the two groups was found once more (Exact F5,48 = 3.164, P < 0.05, Pillai's trace test statistic), with significant effects at the 0.01 level for the oromotor and non-word repetition tasks only (η = 0.141, 0.203, respectively).
