基于远程指导和角色扮演理论视野下的考核方式改革研究——以创新教学课程实操考核为例

角色扮演是人们实现角色社会功能的一种方式,而将这种方式引入到课程考核模式进行研究是一个重要突破。基于网络课程的远程学习与指导,形成有机联系的模块化教学,推动创新教学课程角色扮演实操考核的实践,把创新性教学理论与实践创新性教学有机结合,提升学生把创新理论向教学创新实践转化的能力,对学生面向学校教学改革实际的角色认同和角色改进具有现实的和深远的意义。     

On entropy goodness-of-fit test based on integrated distribution function

In this study, we consider an entropy-type goodness-of-fit (GOF) test based on integrated distribution functions. We first construct the test for the simple vs. simple hypothesis and then extend it to the composite hypothesis case. It is shown that under regularity conditions, the null limiting distribution of the proposed test is a function of a Brownian bridge. A bootstrap method is also considered and is shown to be weakly consistent. A simulation study and real data analysis are conducted for illustration.     

Significance test of clustering under high dimensional setting with applications to cancer data

For high dimensional data, the SigClust is developed for testing the significance of clustering. The cluster index (CI) for SigClust is conducted by the ratio of the within-cluster and total sum of squares. But its empirical size is too conservative to be over controlled. By removing the cumbrous terms in the CI, an improved index (BCI) is proposed in this paper. The coefficient of variation of the BCI can be significantly reduced, implying that the new index BCI is stable. Moreover, the new significance test (NewSig) maintains the size, meanwhile, provides a greater power. Simulation experiments and two real cancer data examples are analysed for illustrating the performance of the new methodology.     

Adaptive positive and negative runs test

As a nonparametric randomness test, the positive and negative runs test is widely used in practice due to the simplicity of its procedures. The test can lose efficiency if the alternative distribution is symmetrical at 0.5. In addition, the test can only be applied to test the randomness of a sequence from the uniform distribution. In this paper, we introduce an adaptive positive and negative runs test method to maximize the power function by choosing the optimal cut point. Also, the test is extended to check the randomness of a sequence generated from any other given distributions. Furthermore, we derive the exact distribution and obtain the asymptotical critical values of the proposed test statistics. Compared with the existed test, the efficiency of the proposed adaptive positive and negative runs test is competitive through simulation study.     

A weighted likelihood ratio test-based chart for monitoring process mean and variability

In this paper, a new single exponentially weighted moving average (EWMA) control chart based on the weighted likelihood ratio test, referred to as the WLRT chart, is proposed for the problem of monitoring the mean and variance of a normally distributed process variable. It is easy to design, fast to compute, and quite effective for diverse cases including the detection of the decrease in variability and individual observation case. The optimal parameters that can be used as a design aid in selecting specific parameter values based on the average run length (ARL) and the sample size are provided. The in-control (IC) and out-of-control (OC) performance properties of the new chart are compared with some other existing EWMA-type charts. Our simulation results show that the IC run length distribution of the proposed chart is similar to that of a geometric distribution, and it provides quite a robust and satisfactory overall performance for detecting a wide range of shifts in the process mean and/or variability.     

Notes on two sample tests for partially correlated (paired) data

We provide several methods to compare two Gaussian distributed means in the two sample location problems under the assumption of partially dependent observations. Simulation studies indicate that our test procedure is frequently more powerful than other methods depending on the ratio of the unpaired data and the strength and direction of the correlation between the two variables. The tests used in our comparative study are illustrated with an example based on data from a small gynecological study.     

Non Null Asymptotic Distributions of Some Criteria in Censored Exponential Regression

In this article, we consider the class of censored exponential regression models which is very useful for modeling lifetime data. Under a sequence of Pitman alternatives, the asymptotic expansions up to order n^{? 1/2} of the non null distribution functions of the likelihood ratio, Wald, Rao score, and gradient statistics are derive in this class of models. The non null asymptotic distribution functions of these statistics are obtained for testing a composite null hypothesis in the presence of nuisance parameters. The power of all four tests, which are equivalent to first order, are compared based on these non null asymptotic expansions. Furthermore, in order to compare the finite-sample performance of these tests in this class of models, we consider Monte Carlo simulations. We also present an empirical application for illustrative purposes.     

Some Theoretical and Simulation Results on the Frequency Domain Causality Test

Breitung and Candelon (2006 Breitung , J. , Candelon , B. ( 2006 ). Testing for short- and long-run causality: A frequency-domain approach . Journal of Econometrics 132 : 363 – 378 .[Crossref], [Web of Science ®] , [Google Scholar]) in Journal of Econometrics proposed a simple statistical testing procedure for the noncausality hypothesis at a given frequency. In their paper, however, they reported some theoretical results indicating that their test severely suffers from quite low power when the noncausality hypothesis is tested at a frequency close to 0 or pi. This paper examines whether or not these results indicate their procedure is useless at such frequencies.