• Journal of the Korean Data and Information Science Society
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• v.24 no.2
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• pp.289-301
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• 2013

We analyze respondents' reaction to Obama's advertisement, titled 'Fix the Economy'. These respondents are divided into three groups of democratic party, republican party and independent group. By manipulating the skin complexion of the Obama photo, participants were either exposed to the dark or light version of the Obama photograph. In order to obtain decorrelated stationary data, we have applied the discrete Fourier transform to each curve and then we have applied Fan (1998)'s adaptive Neyman test to the discrete Fourier transformed data. As a result, a significant difference is found out only in the independent group.

• Communications for Statistical Applications and Methods
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• v.22 no.2
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• pp.121-135
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• 2015

We consider testing equality of mean functions from two samples of functional data. A novel test based on the adaptive Neyman methodology applied to the Hotelling's T-squared statistic is proposed. Under the enlarged null hypothesis that the distributions of the two populations are the same, randomization methods are proposed to find a null distribution which gives accurate significance levels. An extensive simulation study is presented which shows that the proposed test works very well in comparison with several other methods under a variety of alternatives and is one of the best methods for all alternatives, whereas the other methods all show weak power at some alternatives. An application to a real-world data set demonstrates the applicability of the method.