• Title/Summary/Keyword: Index function

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Reliability and Validity of the Korean Western Ontario and McMaster Universities(WOMAC) Osteoarthritis Index in Patients with Osteoarthritis of the Knee (퇴행성 슬관절염 환자에 대한 한글판 WOMAC Index의 신뢰도와 타당성에 관한 연구)

  • Ko, Tae-Sung;Kim, Seong-Yeol;Lee, Jong-Soo
    • Journal of Korean Medicine Rehabilitation
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    • v.19 no.2
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    • pp.251-260
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    • 2009
  • Objectives : To investigate reliability and validity of Korean translation of Western Ontario and McMaster Universities(WOMAC) osteoarthritis index. Methods : The reliablity, construct validity of the Korean WOMAC Index in the patient of knee osteoarthritis was investigated. Test-retest reliability was quantified with pearson's correlation coefficient and intraclass correlation coefficient. Internal consistency was quantified with Cronbach's ${\alpha}$. and construct validity with pearson's correlation coefficient by correlating of the Visual Analog Scale(VAS). Results : Test-retest reliability of Korean WOMAC Index for pain was 0.76 to 0.95, stiffness was 0.89 to 0.94, and physical function was 0.71 to 0.95. Intraclass correlation coefficient for pain was 0.76 to 0.94, stiffness was 0.54 to 0.89, and physical function was 0.70 to 0.95. Internal consistency were 0.94 and 0.94 for the first and second time, respectively. Construct validity for pain was 0.79, for stiffness was 0.66, and physical function was 0.67. Conclusions : The Korean translation of Western Ontario and McMaster Universities(WOMAC) osteoarthritis index is reliable, valid assessment tool in knee osteoarthritis.

A study on improving the evaluation of motorway functions using Trip Length Frequency Distribution(TLFD) (통행거리빈도분포를 활용한 고속도로 기능 평가 개선 연구)

  • Kwon, Ceholwoo;Yoon, Byoungjo
    • Journal of Urban Science
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    • v.11 no.2
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    • pp.9-17
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    • 2022
  • The purpose of this study is to develop an index for evaluating the function of a new motorway using the travel distance frequency distribution (TLFD) calculated using the vehicle travel route big data, and to overcome the limitations of the evaluation through the existing traffic volume. The mobility evaluation index of motorways was developed by applying it to the TLFD data table in 2019. The smaller the value of the mobility evaluation index of the link is calculated, the more it is a link with mainly short-distance travel, and the higher the value of the mobility evaluation index, the more it means a link with mainly long-distance travel. The accessibility evaluation index was calculated through the result of the mobility evaluation index of all motorways developed, and all motorways were grouped into three groups using K-means clustering. Group A was found to exist inside a large city and consisted of motorways with many short-distance traffic, Group B was investigated as acting as an arterial between groups, and Group C was classified as a motorway consisting mainly of long-distance traffic connecting large cities and large cities. This study is significant in developing a new motorway function evaluation index that can overcome the limitations of motorway function evaluation through the existing traffic volume. It is expected that this study can be a reasonable comprehensive indicator in the operation and planning process of motorways.

Study on function evaluation tools for stroke patients (뇌졸중(腦卒中) 환자(患者)의 기능평가방법(機能評價方法)에 대(對)한 연구(硏究))

  • Ko, Seong-Gyu;Ko, Chang-Nam;Chox, Ki-Ho;Kim, Young-Suk;Bae, Hyung-Sup;Lee, Kyung-Sup
    • The Journal of Korean Medicine
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    • v.17 no.1 s.31
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    • pp.48-83
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    • 1996
  • Our conclusions for function evaluation tools of Stroke patients are as follows. 1. Evaluating tools of Activities of Daily Living, Katz Index, Barthel Index, Modified Barthel Index have high validity and reliability because of ease of measuring, high accuracy, consistency, sensitivity and sufficient stastistics, but they mainly measure motor function except sense, mentation, language, and social conception. Therefore cerebrovascular disease and brain injury in trauma patients with lacked acknowledgement and sensation, we are not able to apply these tools. 2. PULSES Profile is a useful scale for measuring the patient's over-all status, upper and lower limb functions, sensory components, excretary functions, and intellectual and emotional adaptabilities. It is recognized as a good, useful tool to evaluate patient's whole function. 3. Motor Assessment Scale was designed to measure the progress of stroke patients. The scale was supplemented with upper arm function items. We believe that the Motor Assessment Scale could be a useful evaluation tool with inter-rater reliability ,test-retest reliability. 4. The existing evaluation tools, Katz Index, Barthel Index, Modified Barthel Index, PULSES Profile, Motor Assessment Scale, mainly measured the rehabilitational motor function of sequela of cerebrovascular patients. On the other hand CNS & INH stroke scale can measure cerebrovascular disease patient's neurologic deficits and over-all stautus, which are recognition ability, speech status, motor function, sensory function, activities of daily living. Those scales have been recognized as useful tools to measure function of cerebrovascular disease patients and have increased in use. 5. Every function evaluation tool was recognized to have some validity and inter-rater, test-retest reliability in items of each evaluation tool and total scores of each evaluation tools, but it is thought that none of these scales have been fully validated and proved reliable. Therefore afterward, the development of a highly reliable rating system may best be accomplished by a careful comparison of several tools, using the same patients and the same observers in order to choose the most reliable items from each. 6. Ideal evaluation tools must have the following conditions; (1) It should show the objective functional statues at the same time. (2) It should be repeated consecutively to know changed function status. (3) It should be easy to observe the treatment program. (4) It should have the same result with another rater to help rater exchange information with treatment team members. (5) It should be practical and simple. (6) The patient should not suffer from the observer.

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Multivariate Process Capability Index Using Inverted Normal Loss Function (역정규 손실함수를 이용한 다변량 공정능력지수)

  • Moon, Hye-Jin;Chung, Young-Bae
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.2
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    • pp.174-183
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    • 2018
  • In the industrial fields, the process capability index has been using to evaluate the variation of quality in the process. The traditional process capability indices such as $C_p$, $C_{pk}$, $C_{pm}$ and $C^+_{pm}$ have been applied in the industrial fields. These traditional process capability indices are mainly applied in the univariate analysis. However, the main streams in the recent industry are the multivariate manufacturing process and the multiple quality characteristics are corrected each other. Therefore, the multivariate statistical method should be used in the process capability analysis. The multivariate process indices need to be enhanced with more useful information and extensive application in the recent industrial fields. Hence, the purpose of the study is to develop a more effective multivariate process index ($MC_{pI}$) using the multivariate inverted normal loss function. The multivariate inverted normal loss function has the flexibility for the any type of the symmetrical and asymmetrical loss functions as well as the economic information. Especially, the proposed modeling method for the multivariate inverted normal loss function (MINLF) and the expected loss from MINLF in this paper can be applied to the any type of the symmetrical and asymmetrical loss functions. And this modeling method can be easily expanded from a bivariate case to a multivariate case.

SOME REMARKS ON THE GROWTH OF COMPOSITE p-ADIC ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.4
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    • pp.715-723
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    • 2021
  • In this paper we wish to introduce the concept of generalized relative index-pair (𝛼, 𝛽) of a p-adic entire function with respect to another p-adic entire function and then prove some results relating to the growth rates of composition of two p-adic entire functions with their corresponding left and right factors.

Study of Rip Current Warning Index Function according to Real-time Observations at Haeundae Beach in 2012 (2012년 해운대 해수욕장의 실시간 관측정보에 따른 이안류 경보지수 함수 연구)

  • Choi, Junwoo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.4
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    • pp.1191-1201
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    • 2014
  • The rip current warning index function, which estimates the likelihood of dangerous rip current in the real-time rip current warning system operating to help mitigate against rip current accidents at Haeundae beach, was studied. The rip current warning index evaluated as a function of various real-time observations was developed based on Choi et al. (2013b). This study shows a version of rip current warning index improved by including the effect of wave direction and spreadings of frequency-directional spectrum on rip current likelihood. The wave and tidal observations in 2012 at Haeundae coast were applied to the rip current index function, and its performances at several real events found based on CCTV images were presented and analyzed.

An Improvement on Target Costing Technique

  • Wu, Hsin-Hung
    • International Journal of Quality Innovation
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    • v.4 no.1
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    • pp.191-204
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    • 2003
  • The target costing technique, mathematically discussed by Sauers, only uses the $C_p index along with Taguchi loss function and $\bar{X}$-P control charts to setup goal control limits. The new specification limits derived from Taguchi loss function is linked through the $C_p value to $\bar{X}$-P control charts to obtain goal control limits. Studies have shown that the point estimator of the $C_p index, $C_p, could vary from time to time due to the sampling error. The suggested approach is to use confidence intervals, especially the lower confidence intervals, to replace the point estimator. Therefore, an improvement on target costing technique is presented by applying the lower confidence interval of the $C_p index and using both Taguchi and Spiring's loss functions together with $\bar{X}$-P charts to make this technique more robust in practice. An example is also provided to illustrate how the improved target costing technique works.

A Study on the International Comparison of Basic Research Capacity Index (기초연구지수의 국제비교)

  • 송충한
    • Journal of Korea Technology Innovation Society
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    • v.4 no.2
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    • pp.127-142
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    • 2001
  • This paper presents an econometric model for measuring basic research capacity index(BRCI) of each OECD countries and analyses the gap in terms of time lag measured and forecasted in connection with factor analysis and BRCI progress function. Based on the analysis, gross domestic expenditure on R&D(GERD), total R&D personnel higher education expenditure on R&D(HERD) and number of science and technical papers based on SCI are more effective than other factors to BRCI. Also, BRCI progress function shows that 29 years is needed for Korea to catch up the level of German's BRCI of year 1998. But, it's impossible for Korea to catch up US and Japan. Therefore, with restricted scientific resources, Korea's own strategy for strengthening basic research capacity is going to be more important in 21st century.

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Measuring Basic Research Capacity Index and International Comparison (기초연구지수의 작성과 국제비교)

  • 송충한
    • Proceedings of the Korea Technology Innovation Society Conference
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    • 2001.05a
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    • pp.473-492
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    • 2001
  • This paper presents an econometric model for measuring basic research capacity index(BRCI) of each OECD countries and analyses the gap in terms of time lag measured and forecasted in connection with factor analysis and BRCI progress function. Based on the analysis, gross domestic expenditure on R&D(GERD), total R&D personnel, higher education expenditure on R&D(HERD) and number of science and technical papers based on SCI are more effective than other factors to BRCI. Also, BRCI progress function shows that 29 years is needed for Korea to catch up the level of German's BRCI of year 1998. But, it's impossible for Korea to catch up US and Japan. Therefore, with restricted scientific resources, Korea's own strategy for strengthening basic research capacity is going to be more important in 21st century.

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A Study on Process Capability Index using Loss Function Under the Muli-Attribute Conditions (다특성을 고려한 상황하에서의 공정능력지수에 관한 연구)

  • Kim Youn Hee;Kim Soo Youl;Park Myoung Kyu
    • Proceedings of the Safety Management and Science Conference
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    • 2005.05a
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    • pp.503-521
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    • 2005
  • Process capability indices are widely used in industries and quality assurance system. When designing the parameter on the multiple quality characteristics, there has been a study for optimization of problems, but there has been few former study on the possible conflicting phenomena in considertion of the correlations among the characteristics. To solve the issue on the optimal design for muliple quality characteristics, the study propose the expected loss function with cross-product terms among the characteristics and derived range of the coefficients of terms. Therefore, the analysis have to be required a multivariate statistical technique. This paper introduces to multivariate capability indices and then selects a multivariate process capability index incorporated both the process variation and the process deviation from target among these indices under the multivariate normal distribution. We propose a new multivariate capability index $MC_{pm}^{++}$ using quality loss function instead of the process variation and this index is compared with the proposed indices when quality characteristics are independent and dependent of each other,

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