• Title/Summary/Keyword: Kappa statistics

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INFINITELY MANY SOLUTIONS FOR A CLASS OF MODIFIED NONLINEAR FOURTH-ORDER ELLIPTIC EQUATIONS ON ℝN

  • Che, Guofeng;Chen, Haibo
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.895-909
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    • 2017
  • This paper is concerned with the following fourth-order elliptic equations $${\Delta}^2u-{\Delta}u+V(x)u-{\frac{k}{2}}{\Delta}(u^2)u=f(x,u),\text{ in }{\mathbb{R}}^N$$, where $N{\leq}6$, ${\kappa}{\geq}0$. Under some appropriate assumptions on V(x) and f(x, u), we prove the existence of infinitely many negative-energy solutions for the above system via the genus properties in critical point theory. Some recent results from the literature are extended.

k-Sample Rank Tests for Umbrella Location-Scale Alternatives (k-표본 우산형 위치-척도 대립가설에 대한 순위검정법의 연구)

  • Hee Moon Park
    • The Korean Journal of Applied Statistics
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    • v.7 no.2
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    • pp.159-171
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    • 1994
  • Some rank score tests are proposed for testing the equality of all sampling distribution functions against umbrella location-scale alternatives in k-sample problem. Only the case of known peak $\ell$ is considered. Under the null hypothesis and a contiguous sequence of unbrella location-scale alternatives, the asymptotic properties of the proposed test statistics are investigated. Also, the asymptotic local powers are compared with each others. The results show that the tests based on the Chen-Wolfe rank analogue statistic are more powerful than others for unequally spaced umbrella location-scale alternatives and robust.

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Diagnosis of Bovine Leukemia Virus (BLV) infection using PCR and ELISA techniques in Holstein dairy cattle (홀스타인종 젖소에 있어서 PCR과 ELISA기법을 이용한 BLV 감염진단)

  • Jeong, Hang-Jin;Yu, Seong-Lan;Lee, Jun-Heon;Do, Chang-Hee;Shu, Guk-Hyun;Ryoo, Seung-Heui;Sang, Byung-Chan
    • Korean Journal of Agricultural Science
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    • v.38 no.1
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    • pp.45-50
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    • 2011
  • This study was conducted to investigate the farm situation about bovine leukemia virus(BLV) infection that greatly influence productivity in dairy cattle and compare the accuracy of diagnosis for BLV infection between PCR and ELISA techniques. Blood samples of 193 heads from 5 herds in Chungnam and Chungbuk area were used to analyze BLV gene and serum, and the results were obtained as follows. The amplified BLV gene in dairy cattle by PCR technique resulted in 226 bp, 596 bp and 434 bp, respectively, for gag, pol and env, which were well amplified. The infection rates of BLV virus diagnosed by PCR and ELISA techniques ranged from 80.55 to 100% and from 22.22 to 86.95%, respectively, and the infection rates among 5 herds were significantly different in both methods (P<0.05). Further, the average infection rates of 5 herds were 87.05 and 63.21%, respectively, for PCR and ELISA techniques. Kappa statistics for examining consistency of diagnosis by PCR and ELISA techniques showed 0.246, which represents low consistency. Consequently, PCR based BLV technique was considered as a corrective measure for diagnosis of BLV infection in Holstein dairy cattle.

Verification of the Objectivity for Application of a Modified Glasgow Coma Scale in a Pediatric Intensive Care Unit (일 대학병원 소아중환자실에서 Modified Glasgow Coma Scale 적용의 객관성 검증)

  • Song, Young-Ju;Ham, Gui-Sun;Lee, Sun-Young;Son, Ihn-Suk;Jung, Yu-Min;Park, Bo-Bae;Song, Min-Kyung
    • Perspectives in Nursing Science
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    • v.7 no.1
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    • pp.43-49
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    • 2010
  • Purpose: Rapid and accurate assessment of impaired consciousness is very important, especially for critically ill patients. Therefore, the Glasgow coma scale (GCS) has been widely adopted in the assessment of adult and pediatric comas. But the GCS should not be used for small children who show various normal responses according to their developmental stage. Therefore, the objectivity of pediatric coma measurements was verified by applying the modified GCS to patients in a pediatric intensive care unit (PICU) at a university hospital in Korea. Methods: The level of consciousness was evaluated for 200 cases who were admitted to a PICU from July 4, 2009 to September 18, 2009 and could show a verbal response, with our modified GCS for children. In addition, and we confirmed the frequency analysis and Kappa statistics with SPSS/WIN 17.0. Results: Kappa statistics which show inter-observer reliability were very good for all components (eye opening, verbal, and motor score) and was good for total GCS scores. Conclusion: It is concluded that our modified GCS is reliable. Therefore, reliable assessment for the level of consciousness is clinically practicable if enough training is supported.

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An English Essay Scoring System Based on Grammaticality and Lexical Cohesion (문법성과 어휘 응집성 기반의 영어 작문 평가 시스템)

  • Kim, Dong-Sung;Kim, Sang-Chul;Chae, Hee-Rahk
    • Korean Journal of Cognitive Science
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    • v.19 no.3
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    • pp.223-255
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    • 2008
  • In this paper, we introduce an automatic system of scoring English essays. The system is comprised of three main components: a spelling checker, a grammar checker and a lexical cohesion checker. We have used such resources as WordNet, Link Grammar/parser and Roget's thesaurus for these components. The usefulness of an automatic scoring system depends on its reliability. To measure reliability, we compared the results of automatic scoring with those of manual scoring, on the basis of the Kappa statistics and the Multi-facet Rasch Model. The statistical data obtained from the comparison showed that the scoring system is as reliable as professional human graders. This system deals with textual units rather than sentential units and checks not only formal properties of a text but also its contents.

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Reliability for Multiple Reviewers by using Loglinear Models (로그선형모형을 이용한 복수 평가자들간의 신뢰도에 관한 연구)

  • Park, Byung-Joo;Lee, Sung-Im;Lee, Young-Jo;Kim, Dong-Hyun;Kwon, Ho-Jang;Bae, Jong-Myon;Shin, Myung-Hee;Ha, Mi-Na;Han, Sang-Whan
    • Journal of Preventive Medicine and Public Health
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    • v.30 no.4 s.59
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    • pp.719-728
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    • 1997
  • To guarantee the inter-reviewer reliability is very important in evaluating the quality of large number of clinical research papers by multiple reviewers. We cannot find reports on statistical methods for evaluating reliability for multiple raters in clinical research field. The purpose of this paper is to introduce the statistical methods focused on kappa statistic and five kinds of loglinear models for, which can be applied when evaluating the reliability of multiple raters. We have applied these methods to the result of a project, in which seven reviewers have evaluated the quality of 33 papers with regard to four aspects of paper contents including study hypothesis, study design, study population, study method, data analysis and interpretation. Among the five loglinear models including Symmetry model, Conditional symmetry model, Quasi-symmetry model, Independence model, and Quasi-independence model, Quasi-symmetry model shows the best model of fitting. And the level of reliability among seven reviewers revealed to be acceptable as meaningful.

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Validity of Self-reported Stroke and Myocardial Infarction in Korea: The Health Examinees (HEXA) Study

  • Choe, Sunho;Lee, Joonki;Lee, Jeeyoo;Kang, Daehee;Lee, Jong-Koo;Shin, Aesun
    • Journal of Preventive Medicine and Public Health
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    • v.52 no.6
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    • pp.377-383
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    • 2019
  • Objectives: Self-reported disease history is often used in epidemiological studies. In this study, we acquired the hospital records of subjects who self-reported stroke or myocardial infarction (MI) and evaluated the validity of the participants' self-reported disease history. We also determined the level of agreement between specialists and non-specialists. Methods: Among the participants in the Health Examinees study, 1488 subjects self-reported stroke or MI during 2012-2017, and medical records were acquired for the 429 subjects (28.8%) who agreed to share their medical information. Each record was independently assigned to 2 medical doctors for review. The records were classified as 'definite,' 'possible,' or 'not' stroke or MI. If the doctors did not agree, a third doctor made the final decision. The positive predictive value (PPV) of self-reporting was calculated with the doctors' review as the gold standard. Kappa statistics were used to compare the results between general doctors and neurologists or cardiologists. Results: Medical records from 208 patients with self-reported stroke and 221 patients with self-reported MI were reviewed. The PPV of self-reported disease history was 51.4% for stroke and 32.6% for MI. If cases classified as 'possible' were counted as positive diagnoses, the PPV was 59.1% for stroke and 33.5% for MI. Kappa statistics showed moderate levels of agreement between specialists and nonspecialists for both stroke and MI. Conclusions: The validity of self-reported disease was lower than expected, especially in those who reported having been diagnosed with MI. Proper consideration is needed when using these self-reported data in further studies.

Development and validation of a novel screening instrument to prioritize the orthodontic referral of developing malocclusion in children: The index for interceptive orthodontics referral

  • Saraswathy Devi Sinniah;Annapurny Venkiteswaran;Najiyatu Nazihah Zakaria
    • The korean journal of orthodontics
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    • v.53 no.2
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    • pp.116-124
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    • 2023
  • Objective: The absence of a guideline to refer to developing malocclusions appropriately, may be a contributing factor to the inadequacy of timely interceptive orthodontics provision. This study aimed to develop and validate a new orthodontic grading and referral index to be used by dental frontliners to prioritize the orthodontic referral of developing malocclusion in children based on its severity. Methods: A cross-sectional study involving clinical assessment with 413 schoolchildren aged between 8.1 and 11.9 years was conducted in 2018. All the presenting malocclusion was listed and graded based on a few dental guidelines to produce the draft index. The validity and reliability of the draft index were tested using twenty study models. Face and content validation was carried out using the content validation index and Modified Kappa Statistics. Results: Fourteen dental and occlusal anomalies were identified as components of malocclusion and three grades of referral (monitor, standard, urgent) were included in the final index. The scale-level content validity index average value of 0.86 and 0.87 was obtained for content and face validation, respectively. There was moderate to excellent agreement in the Modified Kappa Statistics for both validations. Excellent inter- and intra-assessor agreement was obtained. The new index displayed valid and reliable scores. Conclusions: The Index for Interceptive Orthodontics Referral was developed and validated for the dental frontliners to identify and prioritize the developing malocclusion in children based on its severity and refer for orthodontic consultation to increase the possibility for interceptive orthodontics.

THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS

  • Parmar, Rakesh Kumar;Saxena, Ram Kishore
    • Journal of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.363-379
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    • 2016
  • Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] and the second Appell function [Appl. Math. Comput. 219 (2013), 8332-8337] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we introduce here the family of the incomplete generalized ${\tau}$-hypergeometric functions $2{\gamma}_1^{\tau}(z)$ and $2{\Gamma}_1^{\tau}(z)$. The main object of this paper is to study these extensions and investigate their several properties including, for example, their integral representations, derivative formulas, Euler-Beta transform and associated with certain fractional calculus operators. Further, we introduce and investigate the family of incomplete second ${\tau}$-Appell hypergeometric functions ${\Gamma}_2^{{\tau}_1,{\tau}_2}$ and ${\gamma}_2^{{\tau}_1,{\tau}_2}$ of two variables. Relevant connections of certain special cases of the main results presented here with some known identities are also pointed out.

Heaviness of Smoking Index, Number of Cigarettes Smoked and the Fagerstrom Test for Nicotine Dependence Among Adult Male Malaysians

  • Lim, K.H.;Idzwan, M. Feisul;Sumarni, M.G.;Kee, C.C.;Amal, N.M.;Lim, K.K.;Gurpreet, K.
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.1
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    • pp.343-346
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    • 2012
  • Two methods of identifying smokers with high nicotine dependence, the heaviness of smoking index (HSI) and number of cigarettes per day (CPD) were compared with the Fagerstrom test for nicotine dependence (FTND). The HSI, CPD and the FTND were administered to 316 adult Malaysian male, daily smokers aged between 25-64 years old in the Malaysian NCD Surveillance-1 Survey using a two-stage stratified random sampling of enumeration blocks and living quarters, via an interview based on a validated questionnaire. The cut-off point for classification of high nicotine dependence on the HSI was a score of four or higher, and for the heavy smoking category, smoking more than 20 cigarettes per day. Classification using each method was compared with classification by the FTND (score of six or more) as the reference standard. Sensitivity, specificity and kappa statistics for concordance between both measures and the FTND were evaluated. The HSI gave a similar prevalence rate of high nicotine dependence as the FTND. There was substantial agreement between the HSI and the FTND (kappa=0.63.), with moderate sensitivity (69.8%) and high specificity (92.5%). However, prevalence of high nicotine dependence using the CPD was 7% lower than the FTND. The heavy smoking category also showed fair agreement with the FTND (kappa=0.45) and moderate sensitivity (67.0%), but specificity was high (86.9%). The findings indicate that the HSI can be used as an alternative to the FTND in screening for high nicotine dependence among daily smokers in large population-based studies, while CPD may not be a suitable alternative to the FTND.