scholarly journals Analysis of the Behrens-Fisher Problem Based on Bayesian Evidence

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Yuliang Yin ◽  
Baoren Li

The Behrens-Fisher problem concerns the inferences for the difference between the means of two normal populations without making any assumption about the variances. Although the problem has been extensively studied in the literature, researchers cannot agree on its solution at present. In this paper, we propose a new method for dealing with the Behrens-Fisher problem in the Bayesian framework. The Bayesian evidence for testing the equality of two normal means and a credible interval at a specified level for the difference between the means are derived. Simulation studies are carried out to evaluate the performance of the provided Bayesian evidence.

2021 ◽  
Vol 1037 ◽  
pp. 227-232
Author(s):  
Nikita A. Zemlyanushnov ◽  
Nadezhda Y. Zemlyanushnova

The disadvantage of the known methods of hardening springs is the impossibility of their use when hardening springs of a conical shape or of a shape of a paraboloid of rotation, since they are intended only for cylindrical shape springs and are not suitable for conical shape springs or those of a shape of a paraboloid of rotation specifically because of the difference in the shape of the springs. One of the disadvantages of the known springs hardening mechanisms is the impossibility of hardening the inner surface of the conical compression springs. A new method of hardening springs is proposed, the unmatched advantage of which is the ability to create plastic deformations on the inner and outer surfaces of the spring coils compressed to contact and on the surfaces along the line of contact between the coils. A new advantageous mechanism for hardening springs is proposed, which makes it possible to harden the inner surface of compression springs having a conical shape or a paraboloid shape of rotation, in a compressed state.


GYMNASIUM ◽  
2019 ◽  
Vol XX (1) ◽  
pp. 126
Author(s):  
Silviu Șalgău

It would be recommended to pay swimming the proper attention, both from the perspective of knowing the effort involved and its training methodology. New studies have shown that there are other ways of getting results, sometimes in a shorter period of time than in the case of classic training. A new method, used in this study, is repeat sprint training. The difference between the sprinters' technique and the long distance swimmers' technique is mainly in regard to the race rhythm, more than the specialization of the swimmer. The hypothesis of this research is that repeat sprint training influences/ improves the swimmers' aerobic capacity. At the end, an increase was observed in the maximum alactic and lactic powers, of 50% and 83%, respectively, after the training, in all experimental group subjects.


2021 ◽  
Author(s):  
Stephan van der Westhuizen ◽  
Gerard Heuvelink ◽  
David Hofmeyr

<p>Digital soil mapping (DSM) may be defined as the use of a statistical model to quantify the relationship between a certain observed soil property at various geographic locations, and a collection of environmental covariates, and then using this relationship to predict the soil property at locations where the property was not measured. It is also important to quantify the uncertainty with regards to prediction of these soil maps. An important source of uncertainty in DSM is measurement error which is considered as the difference between a measured and true value of a soil property.</p><p>The use of machine learning (ML) models such as random forests (RF) has become a popular trend in DSM. This is because ML models tend to be capable of accommodating highly non-linear relationships between the soil property and covariates. However, it is not clear how to incorporate measurement error into ML models. In this presentation we will discuss how to incorporate measurement error into some popular ML models, starting with incorporating weights into the objective function of ML models that implicitly assume a Gaussian error. We will discuss the effect that these modifications have on prediction accuracy, with reference to simulation studies.</p>


Stats ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 111-120 ◽  
Author(s):  
Dewi Rahardja

We construct a point and interval estimation using a Bayesian approach for the difference of two population proportion parameters based on two independent samples of binomial data subject to one type of misclassification. Specifically, we derive an easy-to-implement closed-form algorithm for drawing from the posterior distributions. For illustration, we applied our algorithm to a real data example. Finally, we conduct simulation studies to demonstrate the efficiency of our algorithm for Bayesian inference.


2007 ◽  
Author(s):  
V. D. Sajfert ◽  
B. S. Tošić ◽  
J. P. Šetrajčić

Author(s):  
Qiong Jin ◽  
Lu-Bin Hang ◽  
Ting-Li Yang

Abstract A new method for analyzing overconstrained mechanisms is presented in this paper according to the kinematic compatibility criterion of single-opened-chains (SOCs). This criterion states that: if for any value of an active input, two SOCs have die same distances and angles between two ending axes of each SOC, and the difference of axis-lengths corresponding to each hand-side for two SOCs is kept constant, then the two SOCs can be combined together as one closure loop which is an overconstrained mechanism. This method is simple with four clear targets. It is quite different from other methods because the input-output relationships of variables can be obtained during overconstraint analysis. In order to find overconstrained mechanisms, we can begin with parts of compatibility conditions to obtain some kinematic relationships, so that the input-output law and the overconstraint conditions satisfying all compatibility relationships could be given. As examples, the 4R overconstrained mechanisms and a 4R2P overconstrained mechanism are proved using this method.


1990 ◽  
Vol 36 (2) ◽  
pp. 265-270 ◽  
Author(s):  
E K Harris ◽  
J C Boyd

Abstract We consider statistical criteria for partitioning a reference database to obtain separate reference ranges for different subpopulations. Using general formulas relating population variances, sample sizes, and the normal deviate test for the significance of the difference between two subgroup means, we show that partitioning into separate ranges produces little reduction in between-person variability, even when the differences between means are highly significant statistically. However, when there is a clear physiological basis for distinguishing between certain subgroups, simulation studies show that partitioning may be necessary to obtain reference limits that cut off the desired proportions of low and high values in each subgroup. Guidelines based on these results are provided to help decide whether separate ranges should be obtained for a given analyte.


2017 ◽  
Vol 10 (4) ◽  
pp. 62
Author(s):  
Tamara Mohd Altabieri Krishan

This study discusses the use of concept map tool as a new method for teaching translation (from English language to Arabic language). This study comprised 80 students divided into two groups. The first group was taught the new vocabulary by using the concept tool method, whereas the second group was taught the new vocabulary by the traditional method. Pre-test and test of homogeneity was administered in order to ensure the equivalence of the students. During the training, the two groups were subjected to evaluation tests (first, second and final) in which the students were asked to summarize text into a paragraph by translation. The differences between the two methods were compared by using t-test. Results of pre-test indicated that the difference between the two groups was not significant and the scores were linearly distributed. Results of students’ scores between the two groups for the first exam was not significant, however, the difference between the two groups for second, final and total scores was significant. It was seen that the introduced method of text translation improves the student skills compared with the traditional method.


Author(s):  
Michael Jones

When tuning motion platforms, subjective opinion is usually regarded as sufficient for most applications, as it should provide verification that no false cueing occurs. However, often systems are not configured to fully utilize the available motion for the desired purpose. This paper presents a new method to objectively tune simulation motion platforms. Enhanced usage of the available platform motion space is shown through an example of its application to a specific mission task. The difference in motion filter settings for two simulator platform geometries is shown. This displays the suitability of the platforms for completion of the two-axis lateral reposition task.


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