Under the classical statistical framework, sample size calculations for a hypothesis test of interest maintain prespecified type I and type II error rates. These methods often suffer from several practical limitations. We propose a framework for hypothesis testing and sample size determination using Bayesian average errors. We consider rejecting the null hypothesis, in favor of the alternative,...

One of the simplest and most widely used multiple comparison tests is the Bonferroni adjustment (test). It is applicable to the following situations: 1) Regardless of whether or not the sample sizes of each group are equal. 2) When the family of interest is the particular set of comparisons (not all pair-wise comparisons). We can easily obtain the results of the Bonferroni comparison by multipl...

Classical statistical tests may be sensitive to violations of the fundamental model assumptions inherent in the derivation and construction of these tests. It is obvious that such violations are much more probable in the presence of vague data. Thus nonparametric tests seem to be promising statistical tools. A generalization of the median test for the two-sample problem with vague data is sugge...

A kernel embedding of probability distributions into reproducing kernel Hilbert spaces (RKHS) has recently been proposed, which allows the comparison of two probability measures P and Q based on the distance between their respective embeddings: for a sufficiently rich RKHS, this distance is zero if and only if P and Q coincide. In using this distance as a statistic for a test of whether two sam...

In the current paper, the finite-sample stability of various implementations of the KPSS test is studied. The implementations considered differ in how the so-called long-run variance is estimated under the null hypothesis. More specifically, the effects that the choice of kernel, the value of the bandwidth parameter and the application of a prewhitening filter have on the KPSS test are investig...

Signed languages continue to be a key element of deaf education programs that incorporate a bilingual approach to teaching and learning. In order to monitor the success of bilingual deaf education programs, and in particular to monitor the progress of children acquiring signed language, it is essential to develop an assessment tool of signed language skills. Although researchers have developed ...

Aims / Objectives: To introduce a statistical test, which is mixture of the one-sample t-test and Wilcoxon signed-rank test depends on sample kurtosis, using data from symmetric univariate distribution with finite variance.
 Study Approach: Computer simulation coverage probabilities power calculations either or based software R.
 Methodology: Data are generated differing sizes Normal,...

There is controversy over the specificity of Specific Language Impairment (SLI), and whether it is caused by a deficit general to cognition or in mechanisms specific to language itself. We argue that evidence to resolve these conflicting positions could come from the study of children who are acquiring sign language and have SLI. Whereas speech is characterized by rapid temporal changes, the ph...

Traffic sign detection, though one of the key technologies in intelligent transportation, still has bottleneck accuracy due to small size and diversity traffic signs. To solve this problem, we proposed a two-stage CNN object detection algorithm based on multi-scale feature fusion prime sample attention. We improved original Faster R-cnn model terms extraction sampling strategy. For extraction, ...