scholarly journals Intermediate efficiency in nonparametric testing problems with an application to some weighted statistics

2019 ◽  
Vol 23 ◽  
pp. 697-738 ◽  
Author(s):  
Tadeusz Inglot ◽  
Teresa Ledwina ◽  
Bogdan Ćmiel
Keyword(s):  
Qualitative Evaluation ◽  
Nonparametric Test ◽  
Formal Definition ◽  
Asymptotic Results ◽  
Nonparametric Testing ◽  
New Variant ◽  
Two Samples ◽  
Kolmogorov Smirnov ◽  
Definition Of ◽  
Smirnov Test

The basic motivation and primary goal of this paper is a qualitative evaluation of the performance of a new weighted statistic for a nonparametric test for stochastic dominance based on two samples, which was introduced in Ledwina and Wyłupek [TEST 21 (2012) 730–756]. For this purpose, we elaborate a useful variant of Kallenberg’s notion of intermediate efficiency. This variant is general enough to be applicable to other nonparametric problems. We provide a formal definition of the proposed variant of intermediate efficiency, describe the technical tools used in its calculation, and provide proofs of related asymptotic results. Next, we apply this approach to calculating the intermediate efficiency of the new test with respect to the classical one-sided Kolmogorov–Smirnov test, which is a recognized standard for this problem. It turns out that for a very large class of convergent alternatives the new test is more efficient than the classical one. We also report the results of an extensive simulation study on the powers of the tests considered, which shows that the new variant of intermediate efficiency reflects the exact behavior of the power well.

scholarly journals Distribution of zircon age values in metamorphic rocks within the Taratash block of the Southern Urals (initial provenance signal)

2017 ◽  
pp. 15-19
Author(s):  
Al. V. Tevelev ◽  
V. M. Mosejchuk ◽  
A. V. Tevelev ◽  
B. B. Shkursky
Keyword(s):  
Southern Urals ◽  
Detrital Zircons ◽  
Metamorphic Rocks ◽  
The Southern Urals ◽  
Zircon Age ◽  
Lower Riphean ◽  
Kolmogorov Smirnov ◽  
Definition Of ◽  
Isotope Dating ◽  
Smirnov Test

The article establishes and realizes an idea of definition of the initial provenance signal for the Southern Urals Taratash block using isotope dating of the zircons in the Archean and Early Proterozoic magmatic and metamorphic rocks. The work takes into account 132 data for which the discordance did not exceed 10%. We obtained a probability density diagram for zircon ages, which we used firstly for comparison with detrital zircons ages from the sandstones of lower riphean Ay suite, and secondly, with density of the zircon ages in the metamorphic rocks of the Aleksandrovsky block located to the east. The similarity of distributions was verified by means of the Kolmogorov-Smirnov test.

scholarly journals Clinical evaluation of the effect of acentric double pedicle graft with and without the use of platelet-rich fibrin (PRF) on root coverage outcomes in class I and II Miller root recessions: A randomized clinical trial

2019 ◽  
Vol 10 (2) ◽  
pp. 58-67
Author(s):  
Nader Abolfazli ◽  
Masoumeh Faramarzi ◽  
Fariba Salehsaber ◽  
Aysan Shahmorad ◽  
Hadi Kokabi ◽  
...  
Keyword(s):  
Nonparametric Test ◽  
Class I ◽  
Root Coverage ◽  
Pocket Depth ◽  
Platelet Rich Fibrin ◽  
Significant Difference ◽  
Kolmogorov Smirnov ◽  
Analyze Data ◽  
Wilcoxon Nonparametric Test ◽  
Smirnov Test

Background. Acentric double pedicle graft is an alternative to double pedicle graft, which can improve clinical outcomes by removing tension in sutures. This study examined the effect of using platelet-rich fibrin (PRF) on the success rate of acentric double pedicle graft in treating patients with Miller Class I and II recessions. Methods. A total of 16 Miller Class I and II lesions were studied in 8 patients. The samples were divided into two groups in terms of PRF use: with PRF and without PRF. Indices, including recession depth, width of keratinized gingiva and pocket depth, were measured with a standard Michigan O probe with Williams marking. Six months later, Kolmogorov-Smirnov test and Wilcoxon nonparametric test were applied with SPSS17 to analyze data. Results. The recession depth, width of keratinized gingiva, and increased root coverage exhibited a significant difference between the two groups after surgery, but no significant difference was found in pocket depths. Conclusion. Applying PRF with acentric double pedicle graft reduced the recession depth, increased the width of keratinized gingiva and enhanced the extent of root coverage when compared with the situation where PRF was not used. Therefore, this study supports the use of PRF with acentric double pedicle graft in root coverage treatments.

scholarly journals The effect of cryotherapy on pain during local and total application

Pain medicine ◽  
2021 ◽  
Vol 6 (1) ◽  
pp. 43-49
Author(s):  
J Mašán ◽  
O Dobrovanov ◽  
A Čanecký
Keyword(s):  
Analgesic Effect ◽  
Nonparametric Test ◽  
Degenerative Diseases ◽  
Process Information ◽  
Pain Questionnaire ◽  
Kolmogorov Smirnov ◽  
Local Cryotherapy ◽  
Wilcoxon Nonparametric Test ◽  
Smirnov Test ◽  
Non Parametric

Background: analgesic effect of total and local cryotherapy in people older than 55 years, in respondents with various diagnoses, most often with degenerative diseases, especially with gonarthrosis, coxarthrosis, spondylosis, osteoarthritis and polyarthrosis. Objective: the aim of the survey was to process information from the field of total and local cryotherapy and to analyze the information obtained using questionnaires. We process the percentage effect of total and local cryotherapy on the intensity of painful symptoms, feeling, tolerance and satisfaction of respondents after completing ten therapies. Materials and methods: the group of respondents consisted of 35 men and 65 women aged 55 to 81 years. A total of 100 respondents qualified for the survey. 50% of respondents participated in total cryotherapy and 50% of respondents participated in local cryotherapy. Results: we processed the results using MS Excel and IBM SPSS. The Modified Laitinen Pain Questionnaire was used. Due to established hypotheses and the nature of the data, we used the Kolmogorov – Smirnov test, the non-parametric Mann – Whitney U-test and the Wilcoxon nonparametric test. The results show that with the help of local and total cryotherapy, the intensity of painful symptoms is lower. Conclusions: the performed analysis of the data by means of a questionnaire showed that local and total cryotherapy alleviates pain and has an analgesic effect.

scholarly journals Influence of Deep Rolling and Induction Hardening on Microstructure Evolution of Crankshaft Sections made from 38MnSiVS5 and 42CrMo4

2021 ◽  
Vol 76 (3) ◽  
pp. 175-194
Author(s):  
A. Fischer ◽  
B. Scholtes ◽  
T. Niendorf
Keyword(s):  
Process Parameters ◽  
Microstructure Evolution ◽  
Surface Hardening ◽  
Qualitative Evaluation ◽  
Induction Hardening ◽  
Deep Rolling ◽  
Automotive Components ◽  
Hardening Treatment ◽  
Steel Grades ◽  
Definition Of

Abstract In order to improve properties of complex automotive components, such as crankshafts, in an application-oriented way, several surface hardening treatments can be applied. Concerning the material performance the definition of adequate process parameters influences the resulting surface properties and, thus, the effectiveness of surface hardening treatments. To analyze most relevant process-microstructure-property relationships, the present paper reports results obtained by two different well-established surface hardening procedures, i. e. deep rolling as a mechanical treatment and induction hardening as a thermal treatment. For each hardening process widely used crankshaft steel grades, i. e. a medium carbon 38MnSiVS5 microalloyed steel and a quenched and tempered 42CrMo4 were selected and thoroughly characterized upon processing, using equal parameter settings. The results reveal that deep rolling in contrast to induction hardening proves to be a less sensitive surface layer treatment with regard to small differences in the initial microstructure, the chemical composition and the applied process parameters. Differences in microstructure evolution with respect to the applied surface hardening treatment are studied and discussed for the highly stressed fillet region of automotive crankshaft sections for all conditions. In this context, high-resolution SEM-based techniques such as EBSD and ECCI are proven to be very effective for fast qualitative evaluation of induced microstructural changes.

scholarly journals Students’ Understanding on Formal Definition of Limit

2021 ◽  
Vol 1752 (1) ◽  
pp. 012082
Author(s):  
Nurdin ◽  
S F Assagaf ◽  
F Arwadi
Keyword(s):  
Formal Definition ◽  
Definition Of
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