• 제목/요약/키워드: Growth Mixture Model

검색결과 113건 처리시간 0.027초

도서관 성과 측정을 위한 잠재성장모형 적용에 관한 연구 (A Study on the Application of Latent Growth Model for Measuring the Outcomes of Library)

  • 박성재;한상우;조세홍
    • 한국문헌정보학회지
    • /
    • 제52권4호
    • /
    • pp.179-194
    • /
    • 2018
  • 본 연구의 목적은 도서관의 성과를 측정하기 위해서 잠재성장모형을 적용하고 그 활용가능성을 논하는 것이다. 도서관의 성과를 측정하기 위하여 도서관 활동에 대한 데이터, 즉 이용자의 대출 데이터를 이용하였다. 시간에 따른 변화를 담고 있는 종단자료를 분석하기 위한 통계적인 모형으로 잠재성장모형을 이용하였다. 서울 소재 공공도서관의 2010년부터 2014년까지의 95,962명의 이용자의 대출데이터를 무조건모형, 조건모형, 혼합성장모형을 적용하여 대출의 특성을 분석하였다. 분석결과, 대출량은 절편요인이 4.19, 기울기요인이 0.24의 선형성장을 보였다. 성별에 따른 차이분석에서 큰 차이를 보이지 않았으나 4개의 그룹으로 나누었을 때, 10세 미만의 어린이의 대출 패턴이 급속히 증가하는 추세를 보였다. 향후 문헌정보학 분야에서 종단연구자료를 분석할 때, 잠재성장모형이 활용될 것으로 기대된다.

잠재성장모형과 성장혼합모형을 이용한 도서관 대출권수의 종단적 분석 (A Longitudinal Analysis of the Number of Checked-out Books Using Latent Growth Model and Growth Mixture Modeling)

  • 박희진;박성재
    • 한국문헌정보학회지
    • /
    • 제57권1호
    • /
    • pp.45-68
    • /
    • 2023
  • 본 연구의 목적은 도서관 이용에 영향을 미치는 요인을 종단적으로 분석하는 것이다. 도서관 이용의 지표 중의 하나인 대출권수의 통계적 분석을 위해 잠재성장모형과 성장혼합모형을 적용하였다. 국가도서관통계시스템에서 제공하는 2014년부터 2019년까지의 공공도서관 통계정보를 수집하고 846개 도서관을 대상으로 분석을 수행했다. 분석결과, 대출권수는 감소하는 경향이 나타났지만 감소세는 점차 완화되고 있었다. 다음으로 대출권수에 영향을 미치는 요인들을 통제한 상태에서 분석한 결과, 장서수와 독서프로그램 참여자수가 중요한 요인으로 나타났다. 마지막으로 성장혼합모형을 적용하여 분석된 5개의 계층들에서 사서수의 증가는 감소 계층에 비해 증가 계층에 속할 가능성을 높이는 것으로 나타났다.

Learning motivation of groups classified based on the longitudinal change trajectory of mathematics academic achievement: For South Korean students

  • Yongseok Kim
    • 한국수학교육학회지시리즈D:수학교육연구
    • /
    • 제27권1호
    • /
    • pp.129-150
    • /
    • 2024
  • This study utilized South Korean elementary and middle school student data to examine the longitudinal change trajectories of learning motivation types according to the longitudinal change trajectories of mathematics academic achievement. Growth mixture modeling, latent growth model, and multiple indicator latent growth model were used to examine various change trajectories for longitudinal data. As a result of the analysis, it was classified into 4 subgroups with similar longitudinal change trajectories of mathematics academic achievement, and the characteristics of the mathematics subject, which emphasize systematicity, appeared. Furthermore, higher mathematics academic achievement was associated with higher self-determination and higher academic motivation. And as the grade level increases, amotivation increases and self-determination decreases. This study suggests that teaching and learning support using this is necessary because the level of learning motivation according to self-determination is different depending on the level of mathematics academic achievement reflecting the characteristics of the student.

중학생들의 수학 흥미와 성취도의 종단적 변화에 따른 잠재집단 분류 및 영향요인 탐색: 다변량 성장혼합모형을 이용하여 (Classification of latent classes and analysis of influencing factors on longitudinal changes in middle school students' mathematics interest and achievement: Using multivariate growth mixture model)

  • 김래영;한수연
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제63권1호
    • /
    • pp.19-33
    • /
    • 2024
  • 본 연구는 중학생들의 수학 흥미와 성취도의 종단적인 변화 양상을 알아보기 위해 경기교육종단연구 4-6차년도 데이터를 분석하였다. 다변량 성장혼합모형을 이용하여 분석한 결과 학생들의 수학 흥미와 성취도의 변화 양상에 이질적인 특성이 존재함을 확인하였고, 종단적인 변화 양상에 따라 학생들을 4개의 잠재집단으로 구분하였다. 학생들은 흥미와 성취도가 모두 낮은 저수준 유형, 모두 높은 고수준 유형, 학년이 올라감에 따라 증가하는 중수준-증가 유형, 학년이 올라감에 따라 감소하는 중수준-감소 유형으로 구분되었으며, 유형마다 흥미와 성취도의 종단적인 변화 양상이 다르게 나타나는 것을 확인하였다. 또한, 다변량 성장혼합모형의 초기값과 기울기 사이의 상관관계를 분석한 결과, 수학 흥미와 성취도는 초기값뿐 아니라 변화율에 있어서도 서로 긍정적인 영향이 있는 것으로 나타났다. 잠재집단의 결정에 영향을 미치는 요인을 개인, 수업방식, 가정 변인으로 나누어 그 영향력을 살펴보았고, 학생의 교육포부와 사교육 시간은 수학 흥미 및 성취도에 긍정적인 영향을 미치며 선행학습의 경우 그 정도에 따라 영향력이 달라지는 양상을 확인하였다. 학생이 인식한 수업방식의 경우, 교수자 중심 수업은 흥미와 성취도가 높은 집단에 속할 확률을 높이고, 학습자 중심 수업은 흥미와 성취도가 낮은 집단에 속할 확률을 높이는 것으로 나타났다. 본 연구는 다변량 성장혼합모형을 통해 수학교육에서 흥미와 성취도를 비롯한 다양한 특성에 대한 학생들의 변화 양상을 분석하는 새로운 방법을 제시하였다는 점에서 의의가 있다.

Clustering Asian and North African Countries According to Trend of Colon and Rectum Cancer Mortality Rates: an Application of Growth Mixture Models

  • Zayeri, Farid;Sheidaei, Ali;Mansouri, Anita
    • Asian Pacific Journal of Cancer Prevention
    • /
    • 제16권9호
    • /
    • pp.4115-4121
    • /
    • 2015
  • Background: Colorectal cancer is the second most common cause of cancer death with half a million deaths per year. Incidence and mortality rates have demonstrated notable changes in Asian and African countries during the last few decades. In this study, we first aimed to determine the trend of colorectal cancer mortality rate in each Institute for Health Metrics and Evaluation (IHME) region, and then re-classify them to find more homogenous classes. Materials and Methods: Our study population consisted of 52 countries of Asia and North Africa in six IHME pre-defined regions for both genders and age-standardized groups from 1990 to 2010.We first applied simple growth models for pre-defined IHME regions to estimate the intercepts and slopes of mortality rate trends. Then, we clustered the 52 described countries using the latent growth mixture modeling approach for classifying them based on their colorectal mortality rates over time. Results: Statistical analysis revealed that males and people in high income Asia pacific and East Asia countries were at greater risk of death from colon and rectum cancer. In addition, South Asia region had the lowest rates of mortality due to this cancer. Simple growth modeling showed that majority of IHME regions had decreasing trend in mortality rate of colorectal cancer. However, re-classification these countries based on their mortality trend using the latent growth mixture model resulted in more homogeneous classes according to colorectal mortality trend. Conclusions: In general, our statistical analyses showed that most Asian and North African countries had upward trend in their colorectal cancer mortality. We therefore urge the health policy makers in these countries to evaluate the causes of growing mortality and study the interventional programs of successful countries in managing the consequences of this cancer.

Kinetic Models for Growth and Product Formation on Multiple Substrates

  • Kwon, Yun-Joong;Engler, Cady R.
    • Biotechnology and Bioprocess Engineering:BBE
    • /
    • 제10권6호
    • /
    • pp.587-592
    • /
    • 2005
  • Hydrolyzates from lignocellulosic biomass contain a mixture of simple sugars; the predominant ones being glucose, cellobiose and xylose. The fermentation of such mixtures to ethanol or other chemicals requires an understanding of how each of these substrates is utilized. Candida lusitaniae can efficiently produce ethanol from both glucose and cellobiose and is an attractive organism for ethanol production. Experiments were performed to obtain kinetic data for ethanol production from glucose, cellobiose and xylose. Various combinations were tested in order to determine kinetic behavior with multiple carbon sources. Glucose was shown to repress the utilization of cellobiose and xylose. However, cellobiose and xylose were simultaneously utilized after glucose depletion. Maximum volumetric ethanol production rates were 0.56, 0.33, and 0.003 g/L h from glucose, cellobiose and xylose, respectively. A kinetic model based on cAMP mediated catabolite repression was developed. This model adequately described the growth and ethanol production from a mixture of sugars in a batch culture.

Development and Validation of a Predictive Model for Listeria monocytogenes Scott A as a Function of Temperature, pH, and Commercial Mixture of Potassium Lactate and Sodium Diacetate

  • Abou-Zeid, Khaled A.;Oscar, Thomas P.;Schwarz, Jurgen G.;Hashem, Fawzy M.;Whiting, Richard C.;Yoon, Kisun
    • Journal of Microbiology and Biotechnology
    • /
    • 제19권7호
    • /
    • pp.718-726
    • /
    • 2009
  • The objective of this study was to develop and validate secondary models that can predict growth parameters of L. monocytogenes Scott A as a function of concentrations (0-3%) of a commercial potassium lactate (PL) and sodium diacetate (SDA) mixture, pH (5.5-7.0), and temperature (4-37DC). A total of 120 growth curves were fitted to the Baranyi primary model that directly estimates lag time (LT) and specific growth rate (SGR). The effects of the variables on L. monocytogenes Scott A growth kinetics were modeled by response surface analysis using quadratic and cubic polynomial models of the natural logarithm transformation of both LT and SGR. Model performance was evaluated with dependent data and independent data using the prediction bias ($B_f$) and accuracy factors ($A_f$) as well as the acceptable prediction zone method [percentage of relative errors (%RE)]. Comparison of predicted versus observed values of SGR indicated that the cubic model fits better than the quadratic model, particularly at 4 and $10^{\circ}C$. The $B_f$and $A_f$for independent SGR were 1.00 and 1.08 for the cubic model and 1.08 and 1.16 for the quadratic model, respectively. For cubic and quadratic models, the %REs for the independent SGR data were 92.6 and 85.7, respectively. Both quadratic and cubic polynomial models for SGR and LT provided acceptable predictions of L. monocytogenes Scott A growth in the matrix of conditions described in the present study. Model performance can be more accurately evaluated with $B_f$and $A_f$and % RE together.

기록값 통계량에 기초한 무한고장 NHPP 소프트웨어 혼합 신뢰성장 모형에 관한 연구 (Infinite Failure NHPP Software Mixture Reliability Growth Model Base on Record Value Statistics)

  • 김희철;신현철;김경수
    • 융합보안논문지
    • /
    • 제7권3호
    • /
    • pp.51-60
    • /
    • 2007
  • 무한고장수를 가진 비동질적인 포아송 과정에 기초한 모형들에서 잔존 결함 1개당 고장 발생률은 일반적으로 상수, 혹은 단조증가 및 단조 감소 추세를 가지고 있다. 본 논문에서는 소프트웨어 신뢰성 모형인 지수분포모형과 어랑 분포 모형을 재조명하고 보다 현실적인 혼합분포모형을 제안 하였다. 고장 간격시간으로 구성된 자료를 이용한 모수추정 방법은 최우추정법과 일반적인 수치해석 방법인 이분법을 사용하여 모수 추정을 실시하고 효율적인 모형 선택은 편차자 승합(SSE) 및 콜모고로프 거리를 적용하여 모형들에 대한 효율성 입증방법을 설명하였다. 소프트웨어 고장 자료 분석에서는 41개의 고장 수를 가진 S27[12] 자료를 통하여 분석하였다. 이 자료들에서 지수분포 모형과 어랑분포 모형 및 혼합분포 모형의 비교를 위하여 산술적 및 라플라스 검정, 편의 검정 등을 이용하였다.

  • PDF

수질관리와 수처리에의 독성시험의 응용 (An Application of Toxicity Test to Water Management and Water Treatment)

  • 김범수
    • 상하수도학회지
    • /
    • 제19권5호
    • /
    • pp.639-646
    • /
    • 2005
  • In this research, we tried to develop the application method to water management and treatment using toxicity test method. When we measure the toxicity of environmental samples, we have to decide whether we take some countermeasures to reduce the toxicity or not. The first issue is how to set these action levels in each bioassays. A new idea was attempted to authorize indirect approach of each bioassays through the response characteristics against mixture of chemicals in water quality standard. The significant response in the cell-growth-inhibition bioassay was detected for standards-mixture(STDs). For acute toxicity assay, STDs-based implicit correlation between risks to humans and bioassay data showed a rational approach to set action levels in practical management. A simple model was proposed to describe and predict the changes in the total toxicity based on the concentrations of toxic-controlling chemicals during the ozonation of landfill leachates. On the basis of this simple model, toxicity reduction was predicted for pre-aggregation treatment before ozonation and ozone concentration during the ozonation. The method proposed in this study would be useful in optimizing water treatment processes and their running conditions in terms of the toxicity reduction efficacy.

Development and Validation of Predictive Model for Salmonella Growth in Unpasteurized Liquid Eggs

  • Kim, Young-Jo;Moon, Hye-Jin;Lee, Soo-Kyoung;Song, Bo-Ra;Lim, Jong-Soo;Heo, Eun-Jeong;Park, Hyun-Jung;Wee, Sung-Hwan;Moon, Jin-San
    • 한국축산식품학회지
    • /
    • 제38권3호
    • /
    • pp.442-450
    • /
    • 2018
  • Liquid egg products can be contaminated with Salmonella spp. during processing. A predictive model for the growth of Salmonella spp. in unpasteurized liquid eggs was developed and validated. Liquid whole egg, liquid yolk, and liquid egg white samples were prepared and inoculated with Salmonella mixture (approximately 3 Log CFU/mL) containing five serovars (S. Bareilly, S. Richmond, S. Typhimurium monophasic, S. Enteritidis, and S. Gallinarum). Salmonella growth data at isothermal temperatures (5, 10, 15, 20, 25, 30, 35, and $40^{\circ}C$) was collected by 960 h. The population of Salmonella in liquid whole egg and egg yolk increased at above $10^{\circ}C$, while Salmonella in egg white did not proliferate at all temperature. These results demonstrate that there is a difference in the growth of Salmonella depending on the types of liquid eggs (egg yolk, egg white, liquid whole egg) and storage temperature. To fit the growth data of Salmonella in liquid whole egg and egg yolk, Baranyi model was used as the primary model and the maximum growth rate and lag phase duration for each temperature were determined. A secondary model was developed with maximum growth rate as a function of temperature. The model performance measures, bias factor ($B_f$, 0.96-0.99) and $r^2$ (0.96-0.99) indicated good fit for both primary and secondary models. In conclusion, it is thought that the growth model can be used usefully to predict Salmonella spp. growth in various types of unpasteurized liquid eggs when those are exposed to various temperature and time conditions during the processing.