Using Support Vector Machines for Facet Partitioning in Multidimensional Scaling

Mair, Patrick; Cetron, Joshua S.; Borg, Ingwer

doi:10.1080/00273171.2022.2035207

Cited by 16 publications

(19 citation statements)

References 50 publications

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“…Shepard diagram is a scatterplot with observed distances on the Y-axis and configuration distances on the X-axis. By looking at the Shepard diagram and the pseudo-R 2 statistics, which is an index similar to the determination coefficient in regression analysis, the goodness of fit between the observed distances and the configuration distances can be observed (Shepard, 1962;Özdamar, 2004;Yiğit, 2007;Gündüz, 2011;Mair et al, 2016).…”

Section: Multidimensional Scaling Methodsmentioning

confidence: 99%

Gruplar Arası Farklılıkların Belirlenmesinde Çok Boyutlu Ölçekleme Analizinin Çok Değişkenli Varyans Analizi ile Birlikte Kullanımı

Delialioğlu

Kocabaş

2023

Kahramanmaraş Sütçü İmam Üniversitesi Tarım Ve Doğa Dergisi

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Multidimensional Scaling analysis (MDS) and Multivariate analysis of variance (MANOVA) are among the commonly used multivariate statistical methods. While MANOVA is used to evaluate whether there are statistically significant differences between the mean vectors of the experimental groups in terms of more than one independent variable; MDS analysis is used both for dimension reduction and to classify individuals/variables according to their differences. In cases where the relationships between individuals/variables are not known, but the distances between them can be calculated, MDS analysis allows to reveal the relationships between individuals by using these distances, and unlike MANOVA, it does not require any assumptions. In this study, the numerical values produced by the simulation technique were used as the input data, with reference to the real data regarding 5 kinds of pistachios in terms of 13 fatty acids. These data were evaluated with both the MDS analysis and the MANOVA test and the results were interpreted. Considering the convenience in the evaluation of the data, the usability of the MDS analysis as supportive to the MANOVA test and subsequent multiple comparison tests was evaluated.

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Section: Multidimensional Scaling Methodsmentioning

confidence: 99%

Gruplar Arası Farklılıkların Belirlenmesinde Çok Boyutlu Ölçekleme Analizinin Çok Değişkenli Varyans Analizi ile Birlikte Kullanımı

Delialioğlu

Kocabaş

2023

Kahramanmaraş Sütçü İmam Üniversitesi Tarım Ve Doğa Dergisi

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“…These analyses were conducted in R, using the smacof package (de Leeuw & Mair, 2009 ). The fit of the resulting solution to the data was conducted on the basis of permutation tests and analysis of the compatibility of individuals and values to the solution (Mair et al, 2016 ).…”

Section: Methodsmentioning

confidence: 99%

Development of intraindividual value structures in middle childhood: A multicultural and longitudinal investigation

Daniel

Döring

Cieciuch

2022

Journal of Personality

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IntroductionWe examined changes in value inter-relations during middle-childhood. In line with the Personal Values Theory (Schwartz, 1992), we expected a value system, with individuals similarly valuing related motivations, and setting priorities between conflicting motivations (Döring et al., 2016;Schwartz, 1992). We hypothesized this system to develop dynamically during middle-childhood, as children deepen their understanding of their own values (Shachnai & Daniel, 2020). Method Using unfolding analysis (Borg et al., 2017; Skimina et al., 2021), we estimated intraindividual value structure coherence, i.e., the extent to which the inter-relations among a child's values are similar to the hypothesized inter-relations. Cross-Cultural Study 1 (N= 4,615 6-12-year-old children) included children from 12 countries. Cross-Sequential Study 2 (N= 629, 6-10-year-old children at Time 1), included three annual measurements. ResultsIn Study 1, we found a curvilinear association between age and intra-individual value structure coherence: Children's values were more coherent at ages 9-10 than before or after.Study 2 confirmed this pattern of within-individual development. ConclusionsWe propose that development in coherence with the theoretical value structure offers insight into children's understanding of values as well as changes in value priorities.

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“…We used multidimensional scaling (MDS) with the smacof R package (Version 2.1-1; de Leeuw & Mair, 2009) to visualize the estimated networks (see Jones et al, 2018, for a tutorial), representing nodes with stronger connections as closer in the visualization. The accuracy of the MDS layout was assessed using reported stress-1 values of the MDS fit (Mair et al, 2016).…”

Section: Methodsmentioning

confidence: 99%

A Network Analysis of Children’s Emerging Place-Value Concepts

et al. 2022

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Examining how informal knowledge systems change after formal instruction is imperative to understanding learning processes and conceptual development and to implementing effective educational practices. We used network analyses to determine how the organization of informal knowledge about multidigit numbers in kindergartners ( N = 279; mean age = 5.76 years, SD = 0.55; 135 females) supports and is transformed by a year of in-school formal instruction. The results show that in kindergarten, piecemeal knowledge about the surface properties of reading and writing multidigit numbers and the use of base-10 units to determine large quantities are strongly associated with each other and connected in a stringlike manner to other emerging skills. After a year of instruction, each skill becomes connected to the “hub” abilities of reading and writing multidigit numbers, which also become strongly connected to more advanced knowledge of base-10 principles. These findings provide new insights into how partial knowledge provides the backbone on which explicit principles are learned.

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Using Support Vector Machines for Facet Partitioning in Multidimensional Scaling

Cited by 16 publications

References 50 publications

Gruplar Arası Farklılıkların Belirlenmesinde Çok Boyutlu Ölçekleme Analizinin Çok Değişkenli Varyans Analizi ile Birlikte Kullanımı

Gruplar Arası Farklılıkların Belirlenmesinde Çok Boyutlu Ölçekleme Analizinin Çok Değişkenli Varyans Analizi ile Birlikte Kullanımı

Development of intraindividual value structures in middle childhood: A multicultural and longitudinal investigation

A Network Analysis of Children’s Emerging Place-Value Concepts

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