• Title/Summary/Keyword: R statistic

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A Statistical Approach to Paired versus Group Comparisons (쌍체비교와 독립비교에 대한 통계적인 고찰)

  • Kim Tae-Min;Kim Sang-Boo
    • The Korean Journal of Applied Statistics
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    • v.19 no.2
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    • pp.231-240
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    • 2006
  • It is well understood that a paired comparison (paired t test) provides better precision than a group comparison (two-sample t test), when the pairing is effective (the variation within a pair is small). However, when the variation among the pairs is sufficiently small, the group comparison is likely to yield a better result. To get a statistical explanation of this, we examine the two methods through an analogy to one-way and two-way analysis of variance. We introduce a new measure, R statistic, which is the ratio of their confidence interval lengths, as a quantitative criterion for comparing the two methods. The distribution of the Rf statistic is described by t and F distribution functions. Through this characterization, we show that the paired comparison can be better than group comparison when the variation among the pairs is statistically significantly large.

Development of a Model for Comparing Risk-adjusted Mortality Rates of Acute Myocardial Infarction Patients (급성심근경색증 환자의 진료 질 평가를 위한 병원별 사망률 예측 모형 개발)

  • Park, Hyeung-Keun;Ahn, Hyeong-Sik
    • Quality Improvement in Health Care
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    • v.10 no.2
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    • pp.216-231
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    • 2003
  • Objectives: To develop a model that predicts a death probability of acute myocardial infarction(AMI) patient, and to evaluate a performance of hospital services using the developed model. Methods: Medical records of 861 AMI patients in 7 general hospitals during 1996 and 1997 were reviewed by two trained nurses. Variables studied were risk factors which were measured in terms of severity measures. A risk model was developed by using the logistic regression, and its performance was evaluated using cross-validation and bootstrap techniques. The statistical prediction capability of the model was assessed by using c-statistic, $R^2$ as well as Hosmer-Lemeshow statistic. The model performance was also evaluated using severity-adjusted mortalities of hospitals. Results: Variables included in the model building are age, sex, ejection fraction, systolic BP, congestive heart failure at admission, cardiac arrest, EKG ischemia, arrhythmia, left anterior descending artery occlusion, verbal response within 48 hours after admission, acute neurological change within 48 hours after admission, and 3 interaction terms. The c statistics and $R^2$ were 0.887 and 0.2676. The Hosmer-Lemeshow statistic was 6.3355 (p-value=0.6067). Among 7 hospitals evaluated by the model, two hospitals showed significantly higher mortality rates, while other two hospitals had significantly lower mortality rates, than the average mortality rate of all hospitals. The remaining hospitals did not show any significant difference. Conclusion: The comparison of the qualities of hospital service using risk-adjusted mortality rates indicated significant difference among them. We therefore conclude that risk-adjusted mortality rate of AMI patients can be used as an indicator for evaluating hospital performance in Korea.

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THE UNIMODALITY OF THE r3-CRANK OF 3-REGULAR OVERPARTITIONS

  • Robert XiaoJian Hao;Erin YiYing Shen
    • Bulletin of the Korean Mathematical Society
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    • v.61 no.3
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    • pp.621-635
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    • 2024
  • An 𝑙-regular overpartition of n is an overpartition of n with no parts divisible by 𝑙. Recently, the authors introduced a partition statistic called r𝑙-crank of 𝑙-regular overpartitions. Let Mr𝑙(m, n) denote the number of 𝑙-regular overpartitions of n with r𝑙-crank m. In this paper, we investigate the monotonicity property and the unimodality of Mr3(m, n). We prove that Mr3(m, n) ≥ Mr3(m, n - 1) for any integers m and n ≥ 6 and the sequence {Mr3(m, n)}|m|≤n is unimodal for all n ≥ 14.

Laboratory Experiments for the Force and Load with Pseudo-Dynamic Test: Ex-vivo Study for the Manual Therapy

  • Choi, Wansuk;Choi, Taeseok;Heo, Seoyoon;Lee, Wooram
    • Journal of International Academy of Physical Therapy Research
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    • v.10 no.4
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    • pp.1889-1896
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    • 2019
  • Background: Because of the lack of accurate values for applied forces in manual therapy, manual therapists relies on the magnitude of the individual's perception during applying the force. However, excessive loading maneuvers carry risks for patients. Objective: To establish the relationship between the maximal force applied to swine skin with the specific region, sex, and baseline parameters of the subject. Design: Ex-vivo Study and laboratory Experimental research Methods: 3.5 kg of Korean pork sirloin that is a piece of swine was handled and it was set 3 dimensions; #A; #B; #C. Forty-seven participants who has no experience in physical therapy randomly carried out the experiment, indicated to push each place of the pressure spots with same posture and process under supervision from the instructor who has over 15 years of manual therapy, and we measured the pressure force in each time. Results: The biggest pressure force was recorded in spot #A, and #B was represented after #C. Pressure on #A showed certain statistic relation with height (r=.317, p<.05) and weight (r=.434, p<.01); pressure on #B showed certain relation which has statistical meaning with only height (r=.401, p<.01); pressure on #C emerged to have statistic relationship with height (r=.308, p<.05)and weight (r=.428, p<.01). The age aspect revealed relation with pressure on #A, #B and #C, but that was not statistically significant. Conclusions: It can be inferred that there is the most loss of pressure in the area where cartilage is like an island in the middle.

Dynamic rt-VBR Traffic Characterization using Sub-Sum Constraint Function (Sub-Sum Constraint Function을 이용한 동적 실시간 VBR 트래픽 특성화)

  • 김중연;정재일
    • Proceedings of the IEEK Conference
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    • 2000.11a
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    • pp.217-220
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    • 2000
  • This paper studies a real-time VBR traffic characterization. There are two big approaches to determine traffic. One is a statistic approach and the other is a deterministic approach. This paper proposes a new constraint function, what we called “Sub-Sum Constraint Function”(SSCF). This function is mainly based on a deterministic approach and uses a statistic approach. It predicts and calculates the next rate with a present information about the stream. SSCF captures the intuitive bounded by a rate lower than its peak rate and closer to its long-term average rate. This model makes a order of the constraint function much less than any other works (O(n)). It can also be mapped on a token bucket algorithm which consists of r (token rate) and b (token depth). We use a concept, EB(effective bandwidth) for a utility of our function and comparing with other techniques such as CBR, average VBR. We simulated 21 multimedia sources for verifying the utility of our function.

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A Development of Analysis System for Vessel Traffic Display and Statistics based on Maritime-BigData (해상-빅데이터 기반 선박 항적 표시 및 해상교통량 통계 분석 시스템의 개발)

  • Hwang, Hun-Gyu;Kim, Bae-Sung;Shin, Il-Sik;Song, Sang-Kee;Nam, Gyeung-Tae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.6
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    • pp.1195-1202
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    • 2016
  • Recently, a lot of studies that applying the big data technology to various fields, are progressing actively. In the maritime domain, the big data is the meaningful information which makes and gathers by the navigation and communication equipment from the many ships on the ocean. Also, importance of the maritime safety is emphasized, because maritime accidents are rising with increasing of maritime traffic. To support prevention of maritime accidents, in this paper, we developed a vessel traffic display and statistic system based on AIS messages from the many vessels of maritime. Also, to verify the developed system, we conducted tests for vessel track display function and vessel traffic statistic function based on two test scenarios. Therefore, we verified the effectiveness of the developed system for vessel tracks display, abnormal navigation patterns, checking failure of AIS equipments and maritime traffic statistic analyses.

A Study on Construction of Integrated National R&D Monitoring System (국가R&D 종합모니터링시스템 구축에 관한 연구)

  • Choi, Ki-Seok;Park, Man-Hee;Kim, Young-Kuk
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.4
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    • pp.25-37
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    • 2009
  • This Study constructs a dashboard system to synthetically and systematically monitor national R&D information based on data warehouse. Managing the national R&D statistics and trend is important since it provides data for policies and decision making for national R&D. Many agencies related to national R&D information collect the basic R&D statistic data which provides the basis of logical decision making and R&D policies. The data has not well been used. The data has not been consistently collected nor managed. The raw data has not been organized nor processed to meet various demands. The needs has been arisen for a consistent national R&D monitoring system to increase the relevance, accessibility and efficiency of data for various users. This study selects 25 key indicators based on the user requirements and designs data warehouse for supporting the indicators using star schema. The dashboard system is developed in this study provides the infrastructure of monitoring national R&D information and analytic environment of supporting statistical analysis and time-series data analysis.

The GARCH-GPD in market risks modeling: An empirical exposition on KOSPI

  • Atsmegiorgis, Cheru;Kim, Jongtae;Yoon, Sanghoo
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.6
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    • pp.1661-1671
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    • 2016
  • Risk analysis is a systematic study of uncertainties and risks we encounter in business, engineering, public policy, and many other areas. Value at Risk (VaR) is one of the most widely used risk measurements in risk management. In this paper, the Korean Composite Stock Price Index data has been utilized to model the VaR employing the classical ARMA (1,1)-GARCH (1,1) models with normal, t, generalized hyperbolic, and generalized pareto distributed errors. The aim of this paper is to compare the performance of each model in estimating the VaR. The performance of models were compared in terms of the number of VaR violations and Kupiec exceedance test. The GARCH-GPD likelihood ratio unconditional test statistic has been found to have the smallest value among the models.

Exact Tests for Variance Ratios in Unbalanced Random Effect Linear Models

  • Huh, Moon-Yul;Li, Seung-Chun
    • Journal of the Korean Statistical Society
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    • v.25 no.4
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    • pp.457-469
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    • 1996
  • In this paper, we propose a method for an exact test of H : $p_i$ = $r_i$ for all i against K : $p_i$ $\neq$ $r_i$ for some i in an unbalanced random effect linear model, where $p_i$ denotes the ratio of the i-th variance component to the error variance. Then we present a method to test H : $p_i$ $\leq$ r against K : $p_i$> r for some specific i by applying orthogonal projection on the model. We also show that any test statistic that follows an F-distribution on the boundary of the hypotheses is equal to the one given here.

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On the Dependence Structure of Concornitants of Order Statistics

  • Song-Ho Kim;Tae-Sung Kim
    • Journal of the Korean Statistical Society
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    • v.25 no.2
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    • pp.255-263
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    • 1996
  • Let $(X_{1j}, X_{2j}, … , X_{nj}, Y_j/)$j = 1, 2, … , n, be a sample of size n on an (m + l)-dimensional vector $(X_1, X_2, … , X_m, Y)$, m .geq. 1. If $Y_{(r)}$ denote the rth order statistic from Y, then the $X_{[r:n]}$ paired with $Y_(r)$ is termed the concomitant vector of the order statistics. The general distributions of concomitant of order statistics will be found. The mean, variance and covariance of$X_{[r:n]}$ Will be studied. Then we will apply the results to the multivariate normal variate case.e.

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