• Title/Summary/Keyword: multivariate analysis of variance (MANOVA)

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Matrix Formation in Univariate and Multivariate General Linear Models

  • Arwa A. Alkhalaf
    • International Journal of Computer Science & Network Security
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    • v.24 no.4
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    • pp.44-50
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    • 2024
  • This paper offers an overview of matrix formation and calculation techniques within the framework of General Linear Models (GLMs). It takes a sequential approach, beginning with a detailed exploration of matrix formation and calculation methods in regression analysis and univariate analysis of variance (ANOVA). Subsequently, it extends the discussion to cover multivariate analysis of variance (MANOVA). The primary objective of this study was to provide a clear and accessible explanation of the underlying matrices that play a crucial role in GLMs. Through linking, essentially different statistical methods, by fundamental principles and algebraic foundations that underpin the GLM estimation. Insights presented here aim to assist researchers, statisticians, and data analysts in enhancing their understanding of GLMs and their practical implementation in diverse research domains. This paper contributes to a better comprehension of the matrix-based techniques that can be extended to GLMs.

Non-parametric approach for the grouped dissimilarities using the multidimensional scaling and analysis of distance (다차원척도법과 거리분석을 활용한 그룹화된 비유사성에 대한 비모수적 접근법)

  • Nam, Seungchan;Choi, Yong-Seok
    • The Korean Journal of Applied Statistics
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    • v.30 no.4
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    • pp.567-578
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    • 2017
  • Grouped multivariate data can be tested for differences between two or more groups using multivariate analysis of variance (MANOVA). However, this method cannot be used if several assumptions of MANOVA are violated. In this case, multidimensional scaling (MDS) and analysis of distance (AOD) can be applied to grouped dissimilarities based on the various distances. A permutation test is a non-parametric method that can also be used to test differences between groups. MDS is used to calculate the coordinates of observations from dissimilarities and AOD is useful for finding group structure using the coordinates. In particular, AOD is mathematically associated with MANOVA if using the Euclidean distance when computing dissimilarities. In this paper, we study the between and within group structure by applying MDS and AOD to the grouped dissimilarities. In addition, we propose a new test statistic using the group structure for the permutation test. Finally, we investigate the relationship between AOD and MANOVA from dissimilarities based on the Euclidean distance.

Application of functional ANOVA and functional MANOVA (단변량 및 다변량 함수 데이터에 대한 분산분석의 활용)

  • Kim, Mijeong
    • The Korean Journal of Applied Statistics
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    • v.35 no.5
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    • pp.579-591
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    • 2022
  • Functional data is collected in various fields. It is often necessary to test whether there are differences among groups of functional data. In this case, it is not appropriate to explain using the point-wise ANOVA method, and we should present not the point-wise result but the integrated result. Various studies on functional data analysis of variance have been proposed, and recently implemented those methods in the package fdANOVA of R. In this paper, I first explain ANOVA and multivariate ANOVA, then I will introduce various methods of analysis of variance for univariate and multivariate functional data recently proposed. I also describe how to use the R package fdANOVA. This package is used to test equality of weekly temperatures in Seoul and Busan through univariate functional data ANOVA, and to test equality of multivariate functional data corresponding to handwritten images using multivariate function data ANOVA.

A Study on the Differences of Importance of Store Attributes, Use of Information Sources, and Self-Image according to Apparel Shopping Orientation of the Female College Students (여대생들의 의복쇼핑성향에 따른 점포속성중요도, 정보원의 이용, 자기 이미지의 차이에 관한 연구)

  • 신수윤
    • The Research Journal of the Costume Culture
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    • v.7 no.6
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    • pp.54-67
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    • 1999
  • The purpose of this study were (1) to segment the female college students according to apparel shopping orientation and (2) to create a profile for each group with regard to impotance of store attributes, use of information sources, and self-image. The questionnaire were administered to the female college students living in Seoul and data were analyzed by frequency, percentage, factor analysis, cluster analysis, one-way ANOVA(analysis of variance), and MANOVA(multivariate analysis of variance). By cluster analysis of apparel shopping orientation factors, four groups are identified : (1) highly involved apparel shopper (44.34%), (2) brand-loyal shopper (24.43%), (3) planned / practical shopper, and (4) apathetic shopper (18.10%) Four groups were then compared through MANOVA on importance of store attributes, use of information, and self-image. Significant differences were found among four groups on three variables. In general. highly involved shopper tend not to be price conscious, enjoy shopping and use the information sources most actively and apathetic shoppers tend to be indifferent to apparel shopping and do not actively use the information sources.

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Child's Emotional Intelligence : Relationship with Mother's Parenting Efficacy and Child Rearing Stress (어머니의 부모 효능감 및 양육 스트레스와 유아의 감성지능과의 관계)

  • Lee, Seung Eun;Seo, Hyun
    • Korean Journal of Child Studies
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    • v.28 no.4
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    • pp.127-144
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    • 2007
  • Mothers of 101 5- to 6-year-old children were administered the Parenting Efficacy Test (Shin & Jung, 1998; Ann & Park 2002) and the Parenting Stress Index (Lee, Yeom, & Shin, 2000). Children's emotional intelligence (EI) was measured by the Emotional Intelligence Test for Children (Lee & Lee, 2004b). Data were analyzed by correlation and multivariate analysis of variance (MANOVA). Correlation analysis demonstrated a relationship of parenting efficacy and stress with child's EI. MANOVA revealed that children, whose maternal parenting efficacy was in the upper thirty percent, showed higher EI than parenting efficacy in the lower thirty percent : children whose maternal parenting stress was in the upper thirty percent, showed lower EI than those with stress in the lower thirty percent.

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Estimation of Gini-Simpson index for SNP data

  • Kang, Joonsung
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.6
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    • pp.1557-1564
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    • 2017
  • We take genomic sequences of high-dimensional low sample size (HDLSS) without ordering of response categories into account. When constructing an appropriate test statistics in this model, the classical multivariate analysis of variance (MANOVA) approach might not be useful owing to very large number of parameters and very small sample size. For these reasons, we present a pseudo marginal model based upon the Gini-Simpson index estimated via Bayesian approach. In view of small sample size, we consider the permutation distribution by every possible n! (equally likely) permutation of the joined sample observations across G groups of (sizes $n_1,{\ldots}n_G$). We simulate data and apply false discovery rate (FDR) and positive false discovery rate (pFDR) with associated proposed test statistics to the data. And we also analyze real SARS data and compute FDR and pFDR. FDR and pFDR procedure along with the associated test statistics for each gene control the FDR and pFDR respectively at any level ${\alpha}$ for the set of p-values by using the exact conditional permutation theory.

School Safety Education Factors Predicting Injury Prevalence Among Korean Adolescence (학교의 안전교육 관련 특성이 청소년의 사고발생 예측에 미치는 영향)

  • 이명선;박경옥
    • Korean Journal of Health Education and Promotion
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    • v.21 no.2
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    • pp.147-165
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    • 2004
  • Injury is a leading cause of death in the children and adolescent populations. In particular, more than 80% of unintentional injury was related to risk-taking behaviors involved in diverse accidents around school and home. Therefore, educational approaches should be provided for children and adolescent populations, and schools are the essential and appropriate sites to conduct safety education. This study was conducted to identify injury prevalence and safety education at schools among middle and high school students in Korea. About 1,034 middle and high students in 28 schools participated in a self-administered survey. The target schools were selected from the stratified random sampling method throughout schools of seven metropolitan cities in Korea. The questionnaires were delivered to the vice-principals by ground mailing service and the vice-principals administered survey data collection. The questionnaire asked about safety education provided in schools, injury experience in the last year, needs for injury prevention class in school, and demographics. All survey responses were entered into SPSS worksheet. Multivariate analysis of variance (MANOVA) and descriptive discriminant analysis (DDA) were used in statistical analysis with SPSS software 11.1. Multivariate analysis of variance was conducted as a preliminary analysis of DDA. According to the result of multivariate analysis of variance, gender (man), grade (poor), living with both parents, and displaying injury prevention messages on school news board were significantly different between the injured student group and the uninjured student group (p= .00). These four factors also had significant effects on students' injury experience in DDA, although correlation of the four factors with injury experience was weak overall based on their canonical function coefficients. All structure coefficients of the four factors were greater than .30, which means the four factors have discriminant effects on injury prevalence. The sizes of the discriminant effects, in order, were largly from gender, grade, living with both parents, and safety message display on school news boards.

A Comparative Study on Job Satisfaction of Road Freight Transportation Industry Workers by Type of Employment (화물자동차운송업 종사자들의 고용형태에 따른 직업만족도 비교 연구)

  • YOO, Heon Jong;AHN, Seung Bum
    • Journal of Korean Society of Transportation
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    • v.33 no.4
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    • pp.368-378
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    • 2015
  • This study aims to analyse the differences of job satisfaction in road freight transportation industry workers by different types of employment. The researchers utilized reliability test and factor analysis to estimate the validity and feasibility of the questionnaire. Multivariate analysis of variance (MANOVA) was also applied to assess the differences of job satisfaction level by different employment types. The results of reliability test and factor analysis clearly show that questionnaire samples are reliable and feasible. The multivariate analysis of variance result shows statistical insignificance in the level of job satisfaction between part-time workers and special type ones. On the other hand, there was a significant difference between full-time workers and those in other types of employment. The significant variables such as income, welfare, and working hour, etc were discovered.

The Effects of the STEP Program on Mothers' Self-Concept, Child-Rearing Attitudes and Children's Behavior. (STEP 부모교육 프로그램이 어머니의 자아개념, 양육태도 및 유아행동지각에 미치는 효과)

  • Hwang, Ok Ja
    • Korean Journal of Child Studies
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    • v.9 no.1
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    • pp.93-118
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    • 1988
  • Systematic Training for Effective Parenting, developed by Dinkmeyer and McKay, is a parent education program that emphasizes social-emotional development. The present research studied the applicability of STEP to Korean mothers by examining changes in mothers' self-concept, mother's child-rearing attitudes, and children's behavior. The subjects of this study were 43 mothers of a kindergarten in Chonju City. 25 mothers were assigned to the control group and 18 mothers to the experimental group. Primary observes, consisting of 43 fathers of kindergarten children, and secondary observers, consisting of 43 Woosuk University students observed mothers' child-rearing attitudes and children's behavior. Instruments included the self-concept test by Jung Woonsik, Schaefer's Maternal Behavior Research Instrument, O Kiseon's Parent Child Relationship Test, Fear's parent questionnaire, and McKay's Adlerian Parental Assessment of Child Behavior. The mothers' child-rearing attitudes and the children's behavior are recorded by the observers and were compared with mothers' responses. The data were analyzed by MANOVA (multivariate analysis of variance), and ANOVA (analysis of variance). While the MANOVA showed no significant difference between the control and the experimental groups in changing the mothers' self-concept, differences in 5 of the 8 subfactors showed that STEP implemented positive change in the self-identity, self-satisfaction, self-behavior, personal self and family self in the experimental group. The MANOVA showed a significant difference between the two groups in changing the mothers' child-rearing attitudes. That is after participating in the STEP program, the mothers of the experimental group showed more significant progress than those of the control group. Mothers' observations of positive change in children's behavior agreed with those of the primary and secondary observers.

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Special Education Teachers' Competence, Self-Efficacy, and Autonomy in Using ICT amid the Covid19 Pandemic

  • Yasir A. Alsamiri;Ibraheem M. Alsawalem;Malik A. Hussain;Nur Hidayanto Pancoro Setyo Putro;Mashal S. Aljehany
    • International Journal of Computer Science & Network Security
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    • v.24 no.6
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    • pp.131-140
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    • 2024
  • The outbreak of Covid-19 has forced teachers of special education in Saudi Arabia to keep to themselves to live in a technology-infused society throughout the virtual teaching and learning process. This study set out to explore the competence, self-efficacy, and autonomy in using information communication technology (ICT) of special education teachers in Saudi Arabia. A total of 244 special education teachers in Saudi Arabia participated in this study. This study adopted the New General Self-Efficacy Scale developed and validated by Chen, Gully, and Eden (2001), as well as the Basic Psychological Needs in Exercise Scale (BPNES) developed and validated by Vlachopoulos and Michailidou (2006). Confirmatory factor analysis (CFA) and multivariate analysis of variance (MANOVA) were used as the main data analysis in this study. The findings showed that special education teachers in Saudi Arabia possessed competence, self-efficacy, and autonomy in using ICT in their teaching and learning process. All the factor loadings in each factor were.75 or higher, indicating good factor loadings. The results of the MANOVA indicated that special education teachers in Saudi Arabia do not report different perceptions of their competence, self-efficacy, and autonomy despite their different gender, age group, academic background, and teaching experiences.