A New Test for One-way ANOVA with Functional Data and Application to Ischemic Heart Screening

Abstract

[evdate 2013-12-19] HKUST International Forum on Probability and Statistics. Talk no. 3.

Title from opening screen.

The Second HKUST International Forum on Probability and Statistics (2013), held 19 December, 2013, at the Hong Kong University of Science and Technology. Co-sponsored by the HKUST Jockey Club Institute for Advanced Study and the Center for Statistical Science.

'Joint work with Jin-Ting Zhang, Chi-Jen Tseng, and Hau-Tieng Wu.'

Abstract: The speaker propose and study a new global test for the one-way ANOVA problem in functional data analysis. The test statistic is taken as the maximum value of the usual pointwise F-test statistics over the interval the functional responses are observed. A nonparametric bootstrap method is employed to approximate the null distribution of the test statistic and to obtain an estimated critical value for the test. The asymptotic random expression of the test statistic is derived and the asymptotic power is studied. In particular, under mild conditions, the proposed test asymptotically has the correct level and is root-n consistent in detecting local alternatives. Via some simulation studies, it is found that in terms of both level accuracy and power, the proposed test outperforms the Globalized Pointwise F test of Zhang and Liang (2013) when the functional data are highly or moderately correlated, and its performance is comparable with the latter otherwise. An application to an ischemic heart real dataset suggests that, after proper manipulation, resting electrocardiogram (ECG) signals can be used as an effective tool in clinical ischemic heart screening, without the need of further stress tests as in the current standard procedure.

Duration: 29 min.