In this paper, we develop and study a novel testing procedure that has more powerful ability to detect mean difference for functional data. general, it includes two stages: first, splitting the sample into parts selecting principle components adaptively based on first half-sample; then, constructing test statistic another half-sample. An extensive simulation is presented, which shows proposed w...

many commonly used statistical methods require that the population distribution be nearly normal. unfortunately, in some papers the one-sample kolmogorov-smirnov test has been used for testing normality while the assumptions of applying this test are not satisfied. to conduct this test, it is assumed that the population distribution is fully specified. in practical situation where the mean and ...

Following pre-training with everyday objects, 8 children aged from 2 to 4 years learned to produce one manual sign (fists placed one above the other, in front of body) to one stimulus and an alternative manual sign (shoulders touched with ipsilateral hands) to the other stimulus, with each of three pairs of different arbitrary wooden shapes (Set 1). The six stimuli then were presented in catego...