• Title/Summary/Keyword: piecewise growth model

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A Flexible Statistical Growth Model for Describing Plant Disease Progress (식물병(植物病) 진전(進展)의 한 유연적(柔軟的)인 통계적(統計的) 생장(生長) 모델)

  • Kim, Choong-Hoe
    • Korean journal of applied entomology
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    • v.26 no.1 s.70
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    • pp.31-36
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    • 1987
  • A piecewise linear regression model able to describe disease progress curves with simplicity and flexibility was developed in this study. The model divides whole epidemic into several pieces of simple linear regression based on changes in pattern of disease progress in the epidemic and then incorporates the pieces of linear regression into a single mathematical function using indicator variables. When twelve epidemic data obtained from the field experiments were fitted to the piecewise linear regression model, logistic model and Gompertz model to compare statistical fit, goodness of fit was greatly improved with piecewise linear regression compared to other two models. Simplicity, flexibility, accuracy and ease in parameter estimation of the piece-wise linear regression model were described with examples of real epidemic data. The result in this study suggests that piecewise linear regression model is an useful technique for modeling plant disease epidemic.

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Software Reliability Prediction On Piecewise Weibull Failure Rate Model(PWFRM) and S-shaped Reliability Growth Model(SRGM) (다구간 와이불 고장율 모형과 S자 신뢰도 성장모형에 대한 소프트웨어 신뢰도 예측)

  • Jong-Man Park;Soo-Il Jeong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.33
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    • pp.119-122
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    • 1995
  • Application of the PWFRM and SRGM for software reliability Prediction offers not only the judging base of model but also themselves with good applicabilty as easy-to-use tool.

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Longitudinal Study on the Relationship and Effects of Internal and External Factors on Mathematics Academic Achievement -For Middle and High School Students- (수학 학업성취도에 대한 내·외적요인의 관계 및 영향에 대한 종단연구 -중·고등학생을 대상으로-)

  • Kim, Yongseok;Han, Sunyoung
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.325-354
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    • 2020
  • This study utilized longitudinal data from the 2013 year (Secondary Middle School) to 2017 year (Secondary High School) of the Seoul Education Termination Study. Using the latent growth model and the piecewise growth model, we investigated the changes in mathematics academic achievement, internal factors(self-concept, self-control, self-assessment of life satisfaction), and external factors(school climate, guardians) as students' grades increased, and examined whether internal factors and external factors influence the changes in mathematics academic achievement. We examined whether internal and external factors influence the change in academic achievement. As a result of analysis, it was found that mathematics academic achievement remained unchanged from the first grade of middle school to the second grade of middle school, and steadily increased from the second grade of middle school to the first grade of high school, and then decreased slightly in the second grade of high school. The internal and external factors had little change. It has been found that self-concept, self-control as internal factors, and school climate as external factors influence changes in mathematics academic achievement.

A Canonical Piecewise-Linear Model-Based Digital Predistorter for Power Amplifier Linearization (전력 증폭기의 선형화를 위한 Canonical Piecewise-Linear 모델 기반의 디지털 사전왜곡기)

  • Seo, Man-Jung;Shim, Hee-Sung;Im, Sung-Bin;Hong, Seung-Mo
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.2
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    • pp.9-17
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    • 2010
  • Recently, there has been much interest in orthogonal frequency division multiplexing (OFDM) for next generation wireless wideband communication systems. OFDM is a special case of multicarrier transmission, where a single data stream is transmitted over a number of lower-rate subcarriers. One of the main reasons to use OFDM is to increase robustness against frequency-selective fading or narrowband interference. However, in the radio systems it is also important to distortion introduced by high power amplifiers (HPA's) such as solid state power amplifier (SSPA) considered in this paper. Since the signal amplitude of the OFDM system is Rayleigh-distributed, the performance of the OFDM system is significantly degraded by the nonlinearity of the HPA in the OFDM transmitter. In this paper, we propose a canonical piecewise-linear (PWL) model based digital predistorter to prevent signal distortion and spectral re-growth due to the high peak-to-average power ratio (PAPR) of OFDM signal and the nonlinearity of HPA's. Computer simulation on an OFDM system under additive white Gaussian noise (AWGN) channels with QPSK, 16-QAM and 64-QAM modulation schemes and modulator/demodulator implemented with 1024-point FFT/IFFT, demonstrate that the proposed predistorter achieves significant performance improvement by effectively compensating for the nonlinearity introduced by the SSPA.

A Study on A, pp.ication of Reliability Prediction & Demonstration Methods for Computer Monitor (Computer용 Monitor에 대한 신뢰성 예측.확인 방법의 응용)

  • 박종만;정수일;김재주
    • Journal of Korean Society for Quality Management
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    • v.25 no.3
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    • pp.96-107
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    • 1997
  • The recent stream to reliability prediction is that it is totally inclusive in depth to consider even the operating and environmental condition at the level of finished goods as well as component itselves. In this study, firstly we present the reliability prediction methods by entire failure rate model which failure rate at the system level is added to the failure rate model at the component level. Secondly we build up the improved bases of reliability demonstration through a, pp.ication of Kaplan-Meier, Cumulative hazard, Johnson's methods as non-parametric and Maximum Likelihood Estimator under exponential & Weibull distribution as parametric. And also present the methods of curve fitting to piecewise failure rate under Weibull distribution, PRST (Probability Ratio Sequential Test), curve fitting to S-shaped reliability growth curve, computer programs of each methods. Lastly we show the practical for determination of optimal burn-in time as a method of reliability enhancement, and also verify the practical usefulness of the above study through the a, pp.ication of failure and test data during 1 year.

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A Longitudinal Study on the Influence of Learning Effort, Attitude, and Achievement Goal on Mathematics Academic Achievement : For elementary and secondary school students (학습노력, 태도 및 성취목표가 수학 학업성취도에 미치는 직·간접적인 영향에 대한 종단연구: 초·중학생을 대상으로)

  • Kim, YongSeok
    • Education of Primary School Mathematics
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    • v.24 no.1
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    • pp.1-20
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    • 2021
  • Factors influencing mathematics academic achievement are constantly changing and have direct and indirect effects on mathematics achievement, so longitudinal studies that can predict and analyze their growth are needed. This study uses longitudinal data on students from 2011 (5th grade of elementary school) to 2015 (2nd grade of middle school) of the Seoul Education Longitudinal Study, and divides them into groups with similar longitudinal changes in mathematics academic achievement. The direct and indirect effects of learning attitudes and achievement goals were examined. As a result of the study, it was found that learning effort and learning attitude had a direct effect on mathematics achievement in 1 group (2277 students, 67.7%), and learning attitude had a direct effect on mathematics achievement in 3 groups (958 students, 28.5%). And it was found that learning effort h ad an indirect effect. In addition, it was found that both learning attitudes, learning efforts, and achievement goals had no effect on the academic achievement of mathematics in the second group (127 students, 3.8%).

A Longitudinal Study on the Effect of Participation in Private Education on Mathematics Achievement : For Elementary and Junior High School Students (사교육 참여가 수학 학업성취도에 미치는 영향에 대한 종단연구 : 초·중학생을 대상으로)

  • Kim, YongSeok
    • Education of Primary School Mathematics
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    • v.23 no.4
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    • pp.207-227
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    • 2020
  • The demand for private education in Korea is steadily increasing every year, and the participation rate of private education is increasing as the grade goes down. In order to empirically verify the effectiveness of private education, it is necessary to analyze through longitudinal data that has been mainly investigated over a long period of time. This study investigated the longitudinal changes in mathematics academic achievement and participation time in mathematics private education using longitudinal data from 2013 (4th grade in elementary school) to 2017 (2nd grade in middle school) of the Seoul Education Longitudinal Study. The students were divided into groups in which mathematics academic achievement changed similarly as the grade went up, and the effect of mathematics academic achievement was examined according to the change of participation time in private mathematics education for each group. As a result of the study, it was found that the participation time of private math education of all students continuously increased from the 5th grade of elementary school to the 2nd grade of middle school, and the participation time of private math education by group was different. In addition, the effect of private tutoring by group was different according to the group.

A Longitudinal Study on the Influence of Attitude, Mood, and Satisfaction toward Mathematics Class on Mathematics Academic Achievement (수학수업 태도, 분위기, 만족도가 수학 학업성취도에 미치는 영향에 대한 종단연구)

  • Kim, Yongseok
    • Communications of Mathematical Education
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    • v.34 no.4
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    • pp.525-544
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    • 2020
  • There are many factors that affect academic achievement, and the influences of those factors are also complex. Since the factors that influence mathematics academic achievement are constantly changing and developing, longitudinal studies to predict and analyze the growth of learners are needed. This study uses longitudinal data from 2014 (second year of middle school) to 2017 (second year of high school) of the Seoul Education Longitudibal Study, and divides it into groups with similar longitudinal patterns of change in mathematics academic achievement. The longitudinal change patterns and direct influence of mood and satisfaction were examined. As a result of the study, it was found that the mathematics academic achievement of the first group (1456 students, 68.3%) including the majority of students and the second group (677 students) of the top 31.7% had a direct influence on the mathematics class attitude. It was found that the mood and satisfaction of mathematics classes did not have a direct effect. In addition, the influence of mathematics class attitude on mathematics academic achievement was different according to the group. In addition, students in group 2 with high academic achievement in mathematics showed higher mathematics class attitude, mood, and satisfaction. In addition, the attitude, atmosphere, and satisfaction of mathematics classes were found to change continuously from the second year of middle school to the second year of high school, and the extent of the change was small.

Effect of Enzyme Replacement Therapy on Growth in Korean Patients with Mucopolysaccharidosis Type I (I형 뮤코다당증 환자들에서 효소 보충 요법이 성장에 미치는 영향)

  • Huh, Rimm;Cho, Sung Yoon;Chang, Mi Sun;Lee, Jieun;Kwun, Younghee;Kim, Su Jin;Sohn, Young Bae;Park, Sung Won;Maeng, Se Hyun;Kwon, Eun-Kyung;Han, Sun Ju;Jung, Jooyoun;Jin, Dong-Kyu
    • Journal of The Korean Society of Inherited Metabolic disease
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    • v.13 no.2
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    • pp.111-119
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    • 2013
  • Purpose: Mucopolysaccharidosis type I (MPS I) is a lysosomal storage disorder caused by deficiency of the enzyme ${\alpha}$-L-iduronidase, which leads to a broad spectrum of multisystemic manifestations. Short stature and decreased growth velocity are prominent features of MPS I. The aim of the present study was to evaluate the effect of enzyme replacement therapy (ERT) on growth of Korean MPS I patients from a single center. Methods: Height data were obtained by retrospective chart review of 10 Korean patients with MPS I who had received ERT for a minimum of 3 years. Height was expressed as standard deviation scores (SDS) based on normative data. Annual growth rates were calculated before and during ERT. A piecewise regression model was used to analyze height z-scores before and after treatment. Individual analysis was performed for impact of phenotype [(severe (Hurler) versus attenuated (Hurler-Scheie, Scheie)] on growth. Results: Annual growth was 3.3 cm (z-score= -0.21) in the year before ERT and 6.2 cm (z-score= 0.17), 5.8 cm (z-score= 0.07), and 3.8 cm (z-score= -0.4) in the first, second, and third years of ERT, respectively. Regression analysis showed improvement in the slope after ERT (difference= 0.04; P=0.022). Estimated slope differences between severe and attenuated phenotypes were statistically significant before (P=0.001) and after treatment (P<0.0001), although no significant difference was noted when stratified by phenotype. Conclusion: ERT with aldurazyme appears to have a positive impact on linear growth in patients with MPS I.

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