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    인간발달연구에서의 종단자료 분석: 잠재성장모형을 중심으로 = An Analysis of Longitudinal Data in Human Development Study: With a Special Focus on Latent Growth Model

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    https://www.riss.kr/link?id=A104583827

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    This study explained characteristics of longitudinal data and analytic tools. It also described how various modeling techniques can be applied to longitudinal study. Among the several longitudinal data methods, the study focused on latent growth modeling (LGM) based analytic approaches. LGM is modeled as a function of an underlying growth process. It also explores effects of specific factors on individual variation in the growth characteristics. In the unconditional analysis, the growth trajectory of mathematics achievement was followed by nonlinear shape (i.e., concave shape). For the analysis of the conditional model, gender differences were found in terms of both initial status and growth. Although female students reported lower initial scores, the growth rate was significantly faster in females than in males. Additionally, low SES students repeatedly reported lower scores across years. In the school level, although significant differences were found on the initial status, the initial status and the growth were not significantly related, suggesting school gap sustained. Lastly, reading ability would have a positive influence on mathematic achievement and the proper number of latent classes was deemed to be 4. Other pertaining issues were also discussed.
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    This study explained characteristics of longitudinal data and analytic tools. It also described how various modeling techniques can be applied to longitudinal study. Among the several longitudinal data methods, the study focused on latent growth model...

    This study explained characteristics of longitudinal data and analytic tools. It also described how various modeling techniques can be applied to longitudinal study. Among the several longitudinal data methods, the study focused on latent growth modeling (LGM) based analytic approaches. LGM is modeled as a function of an underlying growth process. It also explores effects of specific factors on individual variation in the growth characteristics. In the unconditional analysis, the growth trajectory of mathematics achievement was followed by nonlinear shape (i.e., concave shape). For the analysis of the conditional model, gender differences were found in terms of both initial status and growth. Although female students reported lower initial scores, the growth rate was significantly faster in females than in males. Additionally, low SES students repeatedly reported lower scores across years. In the school level, although significant differences were found on the initial status, the initial status and the growth were not significantly related, suggesting school gap sustained. Lastly, reading ability would have a positive influence on mathematic achievement and the proper number of latent classes was deemed to be 4. Other pertaining issues were also discussed.

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    참고문헌 (Reference)

    1 신택수, "종단프로파일분석과 군집분석을 이용한 잠재집단연구: 성장혼합모형과 비교를 통하여" 한국교육평가학회 23 (23): 641-664, 2010

    2 조아미, "성장혼합모형을 활용한 청소년활동 참여 수준의 유형과 특성 분석" 한국청소년정책연구원 23 (23): 161-184, 2012

    3 강민수, "생애사 연구의 교육심리학적 고찰" 한국인간발달학회 14 (14): 1-19, 2007

    4 홍세희, "비연속시간 사건사 분석을 위한 분할함수 모형화 방법의 제시 및 적용" 한국교육평가학회 23 (23): 953-973, 2010

    5 신택수, "군집분포의 형태와 표본의 크기가 성장혼합모형 분석 결과에 미치는 영향 분석: 몬테-카를로 시뮬레이션 연구" 한국교육평가학회 24 (24): 107-127, 2011

    6 Long, J., "Using fractional polynomials to model nonlinear trends in longitudinal data" 63 (63): 177-203, 2010

    7 Jones, R. H., "Unequally spaced longitudinal data with AR(1)serial correlation" 47 : 161-175, 1991

    8 Meredith, W., "Tuckerizing curves" 1984

    9 Kalbfleisch, J. D., "The statistical analysis of failure time data" John Wiley & Sons 1980

    10 Biesanz, J. C., "The role of coding time in estimation and interpreting growth curve models" 9 : 30-52, 2004

    1 신택수, "종단프로파일분석과 군집분석을 이용한 잠재집단연구: 성장혼합모형과 비교를 통하여" 한국교육평가학회 23 (23): 641-664, 2010

    2 조아미, "성장혼합모형을 활용한 청소년활동 참여 수준의 유형과 특성 분석" 한국청소년정책연구원 23 (23): 161-184, 2012

    3 강민수, "생애사 연구의 교육심리학적 고찰" 한국인간발달학회 14 (14): 1-19, 2007

    4 홍세희, "비연속시간 사건사 분석을 위한 분할함수 모형화 방법의 제시 및 적용" 한국교육평가학회 23 (23): 953-973, 2010

    5 신택수, "군집분포의 형태와 표본의 크기가 성장혼합모형 분석 결과에 미치는 영향 분석: 몬테-카를로 시뮬레이션 연구" 한국교육평가학회 24 (24): 107-127, 2011

    6 Long, J., "Using fractional polynomials to model nonlinear trends in longitudinal data" 63 (63): 177-203, 2010

    7 Jones, R. H., "Unequally spaced longitudinal data with AR(1)serial correlation" 47 : 161-175, 1991

    8 Meredith, W., "Tuckerizing curves" 1984

    9 Kalbfleisch, J. D., "The statistical analysis of failure time data" John Wiley & Sons 1980

    10 Biesanz, J. C., "The role of coding time in estimation and interpreting growth curve models" 9 : 30-52, 2004

    11 Brekke, J. S., "The impact of service characteristics on functional outcomes from community support programs for persons with schizophrenia : A growth curve analysis" 65 : 464-475, 1997

    12 Rajulton, F., "The fundamentals of longitudinal research : An overview. Canadian studies in population" 28 : 169-185, 2001

    13 신택수, "The application of various nonlinear models to describe academic growth trajectories: an empirical analysis using four-wave longitudinal achievement data from a large urban school district" 교육연구소 13 (13): 65-76, 2012

    14 Stoolmiller, M., "The analysis of change" Erlbaum 103-138, 1995

    15 Guba, E. C., "The Paradigm Dialog" Sage 1990

    16 Kolen, M. . J., "Testing equating : Methods and practices" Springer-Verlag 1995

    17 Tein, J. Y., "Statistical power to detect the correct number of classes in latent profile analysis" 20 (20): 640-657, 2013

    18 Lee, E. T., "Statistical methods for survival data analysis(2nd ed)" John Wiley & Sons 1992

    19 Little, R. J. A., "Statistical analysis with missing data" John Wiley 2002

    20 Rao, C. R., "Some statistical methods for the comparison of growth curves" 14 : 1-17, 1958

    21 Herzog, W., "Small-sample robust estimators of noncentrality-based and incremental model fit" 16 (16): 1-27, 2009

    22 Savalei, V., "Small sample statistics for incomplete nonnormal data : Extensions of complete data formulae and a Monte Carlo comparison" 17 (17): 241-264, 2010

    23 Gaddy, B., "Reading a central focus of no child left behind act" Mid-Continent Research for Education and Learning 2003

    24 Armbuster, B. B., "Put reading first : The research building blocks for teaching children to read. Kindergarten through grade 3" The Partnership for Reading 2001

    25 Baker, G. A., "Organoleptic ratings and analytical data for wines and analyzed into orthogonal factors" 19 : 575-590, 1954

    26 Blozis, S. A., "On fitting nonlinear latent curve models to multiple variables measured longitudinally" 14 (14): 179-201, 2007

    27 Gelman, A., "Objections to Bayesian statistics" 3 : 445-450, 2008

    28 Grimm, K. J., "Nonlinear growth models in Mplus and SAS" 16 (16): 676-701, 2009

    29 Muthén, B. O., "New developments and techniques in structural equation modeling" Lawrence Erlbaum Associates 1-33, 2001

    30 Browne, M. W., "Multivariate analysis: Future directions" Elsevier-North Holland 171-198, 1993

    31 Bentler, P. M., "Multilevel modeling: Methodological advances, issues, and applications" Lawrence Erlbaum Associates, Inc 53-70, 2003

    32 Muthén, B. O., "Multilevel covariance structure analysis" 22 : 376-398, 1994

    33 Muthén, L. K., "Mplus 7.2; User’s Guide (Seventh Edition) [statistical software package]" Muthén & Muthén 2014

    34 Collett, D., "Modelling survival data in medical research. Texts in statistical science" Chapman & Hall 1994

    35 Cudeck, R., "Mixed-effects models in the study of individual differences with repeated measures data" 31 (31): 371-403, 1996

    36 Schafer, J. L., "Missing data : Our view of the state of the art" 7 : 147-177, 2002

    37 Himmele, P., "Mathematics reform and English language learners"

    38 Thieme, H. R., "Mathematics in population biology" Princeton University Press 2003

    39 Yuan, K. H., "ML versus MI for missing data with violation of distribution conditions" 41 (41): 598-629, 2012

    40 Grimm, K. J., "Longitudinal associations between reading and mathematics achievement" 33 (33): 410-426, 2008

    41 Hallahan, D. P., "Learning disabilities : Foundations, characteristics, and effective teaching(3rd ed.)" Allyn & Bacon 2004

    42 McArdle, J. J., "Learning and individual differences: Abilities, motivation and methodology" Lawrence Erlbaum Associates 71-117, 1989

    43 Muthén, B. O., "Latent variable modeling in heterogeneous populations" 54 : 557-585, 1989

    44 Bollen, K. A., "Latent curve models : A structure equation perspective" John Wiley & Sons 2006

    45 Meredith, W., "Latent curve analysis" 55 : 107-122, 1990

    46 Gardner, H., "Intelligence reframed : Multiple intelligences for the 21st Century" Basic Books 1999

    47 Lee, J., "Four-year prospective analysis of adolescent girls: Eating disturbances and self-reported negative affectivity" 2005

    48 Longford, N. T., "Factor analysis forclustered observations" 57 : 581-597, 1992

    49 Shin, T., "Exploring gains in reading and mathematics achievement among regular and exceptional students using growth curve modeling" 23 : 92-100, 2013

    50 Shin, T., "Effects of missing data methods in structural equation modeling with nonnormal longitudinal data" 16 : 70-98, 2009

    51 Huttenlocher, J., "Early vocabulary growth relationship to language input and gender" 27 : 236-248, 1991

    52 Hill, K., "Early adult outcomes of adolescent binge drinking : Person-and variable-centered analyses of binge drinking trajectories" 24 (24): 892-901, 2000

    53 Smith, K. E., "Does the content of mothers’ verbal stimulation explain differences in the children’s development of verbal and nonverbal cognitive skills?" 38 : 27-49, 2000

    54 Bauer, D., "Distributional assumptions of growth mixture models : Implications for overextraction of latent trajectory classes" 8 (8): 338-363, 2003

    55 Kim, S. Y., "Determining the number of latent classes in single-and multiphase growth mixture models" 21 (21): 263-279, 2014

    56 Tucker, L. R., "Determination of parameters of a functional relation by factor analysis" 23 : 19-23, 1958

    57 Nylund, K. L., "Deciding on the number of classes in latent class analysis and growth mixture modeling : A Monte Carlo simulation study" 14 (14): 535-569, 2007

    58 Gelman, A., "Data analysis using regression and multilevel/hierarchical models" Cambridge University Press 2007

    59 Hu, L., "Cutoff criteria for fit indexes in covariance structure analysis : Conventional criteria versus new alternatives" 6 (6): 1-55, 1999

    60 Csikszentmihalyi, M., "Creativity : Flow and thepsychology of discovery and invention" HarperCollins 1996

    61 Linda, N. Y., "Covariance structure analysis with three level data" 15 : 159-178, 1993

    62 Jackson, K., "Conjoint developmental trajectories of young adult alcohol and tobacco use" 114 (114): 612-626, 2005

    63 Shin, T., "Comparison of three growth modeling techniques in multilevel analysis of longitudinal academic achievement scores : Latent growth modeling, hierarchical linear modeling, and longitudinal profile via multidimensional scaling" 8 (8): 262-275, 2007

    64 Muthén, B., "Bayesian structural equation modeling : A more flexible representation of substantive theory" 17 (17): 313-335, 2012

    65 Levy, R., "Bayesian data-model fit assessment for structural equation modeling" 18 : 663-685, 2011

    66 Enders, C. K., "Applied missing data analysis" The Guilford Press 2010

    67 신택수, "Analysis of Longitudinal Binary Outcomes using Marginal and Random Effect Models" 한국교육평가학회 22 (22): 243-264, 2009

    68 Muthén, B. O., "Advances in longitudinal data analysis" Chapman & Hall/CRC Press 2007

    69 Savalei, V., "A statistically justified pairwise ML method for incomplete nonnormal data : A comparison with direct ML and pairwise ADF" 12 : 183-214, 2005

    70 Jordan, N. C., "A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with co-morbid mathematics and reading difficulties" 74 (74): 834-850, 2003

    71 Verbeke, G., "A linear mixed-effects model with heterogeneity in the random-effects population" 91 (91): 217-221, 1996

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