scholarly journals Cutoff criteria for overall model fit indexes in generalized structured component analysis

2020 ◽  
Vol 8 (4) ◽  
pp. 189-202
Author(s):  
Gyeongcheol Cho ◽  
Heungsun Hwang ◽  
Marko Sarstedt ◽  
Christian M. Ringle

AbstractGeneralized structured component analysis (GSCA) is a technically well-established approach to component-based structural equation modeling that allows for specifying and examining the relationships between observed variables and components thereof. GSCA provides overall fit indexes for model evaluation, including the goodness-of-fit index (GFI) and the standardized root mean square residual (SRMR). While these indexes have a solid standing in factor-based structural equation modeling, nothing is known about their performance in GSCA. Addressing this limitation, we present a simulation study’s results, which confirm that both GFI and SRMR indexes distinguish effectively between correct and misspecified models. Based on our findings, we propose rules-of-thumb cutoff criteria for each index in different sample sizes, which researchers could use to assess model fit in practice.

2020 ◽  
Vol 9 (4) ◽  
pp. 454-463
Author(s):  
Farisiyah Fitriani ◽  
Agus Rusgiyono ◽  
Tatik Widiharih

Customer satisfaction is used by a company to evaluate products or services whether it is sufficient with customer’s expectations. Satisfaction is influenced by factors that cannot be measured directly are called latent variables and can be measured through indicators used to measure satisfaction with Structural Equation Modeling (SEM). Generalized Structured Component Analysis (GSCA) method is part of a SEM based on a variant that does not require the assumption of a multivariate normal distribution and has a measure overall goodness of fit. The parameters used are factor loading, coefficients parameter, and weight of indicators and estimated with alternating least square. The type of data used primary data from the results of the questionnaire with stratified proportional random sampling and number of samples 286. This research using indicators as measurable variables as many 32 indicators and 8 latent variable. Considering to the evaluation of the structural model, it is found there are 5 variables that influence satisfaction, they are prices, quality yield, cleanliness, doctor's services, and employee services with a large influence of 77.18% and the impact of satisfaction on loyalty is 48.63 %. For the overall goodness of fit measure, it is known that the FIT value is 63.75% and the adjusted FIT (AFIT) value is 63.47%. The goodness of fit (GFI) produced the value in the amount of 96.43%, indicating that the general model has the good level of compatibility.Keywords: Generalized Structured Component Analysis, Structural Equation Modeling, Overall goodness of fit, Alternating Least Square, Stratified Proportional Random Sampling


Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1514
Author(s):  
Ji Hoon Ryoo ◽  
Seohee Park ◽  
Seongeun Kim ◽  
Hyun Suk Ryoo

Fuzzy clustering has been broadly applied to classify data into K clusters by assigning membership probabilities of each data point close to K centroids. Such a function has been applied into characterizing the clusters associated with a statistical model such as structural equation modeling. The characteristics identified by the statistical model further define the clusters as heterogeneous groups selected from a population. Recently, such statistical model has been formulated as fuzzy clusterwise generalized structured component analysis (fuzzy clusterwise GSCA). The same as in fuzzy clustering, the clusters are enumerated to infer the population and its parameters within the fuzzy clusterwise GSCA. However, the identification of clusters in fuzzy clustering is a difficult task because of the data-dependence of classification indexes, which is known as a cluster validity problem. We examined the cluster validity problem within the fuzzy clusterwise GSCA framework and proposed a new criterion for selecting the most optimal number of clusters using both fit indexes of the GSCA and the fuzzy validity indexes in fuzzy clustering. The criterion, named the FIT-FHV method combining a fit index, FIT, from GSCA and a cluster validation measure, FHV, from fuzzy clustering, performed better than any other indices used in fuzzy clusterwise GSCA.


2013 ◽  
Vol 2 (2) ◽  
pp. 54
Author(s):  
PUTU NOPITA PURNAMA NINGSIH ◽  
KETUT JAYANEGARA ◽  
I PUTU EKA NILA KENCANA

The aim of this research is to determine the relationship between environmental, behavioral, health services, education, and economic variables to health status in the Province of Bali. These variables are constructs (latents ) that can not be measured directly by observation. If there was a relationship between latent and its indicators, it is recomended to use Structural Equation Modeling (SEM). In this research we used variance-based SEM i.e. Generalized Structured Component Analysis (GSCA). This method not based on many assumptions such as the data does not have a multivariate normal distribution, the sample size does is not necessary large. Moreover, GSCA provides by overall goodness-fit of the model. The result of this research indicates that the environmental, behavioral, economic and educational variable influenced health status, but health service does not significantly affect the health status; economic does not significantly affect the environment; and education does not significantly affect the behavior. The result of the FIT value ?0.450 and the AFIT value 0.429 showed that overall model in this research is not good enough because of both of these values are under 0.50.


Author(s):  
Mia Widianti

Penelitian ini bertujuan untuk menguji teori dan model yang fit dengan data empiris mengenai masalah pengaruh kemandirian terhadap prestasi belajar Bahasa Indonesia kelas XI SMA Di Kota Depok Jawa Barat tahun ajaran 2015/2016. Metode yang digunakan penelitian ini adalah metode kuantitatif dengan pendekatan survey. Populasi penelitian adalah siswa SMA Negeri di Kota Depok Jawa Barat. Sampel penelitian ditentukan dengan teknik sampel acak proporsional sebanyak 306 siswa. Pengumpulan data menggunakan tes objektif dan kuesioner skala Model Likert. Data diperoleh berdasarkan kemampuan siswa menjawab soal Bahasa Indonesia dankemandirian dalam belajar. Analisis data menggunakan Structural Equation Modeling (SEM), dengan bantuan program aplikasi LISREL 8.80. Hasil penelitian dari 2 variabel laten dan 9 variabel kontruk yang cocok dengan model yang diusulkan, diperoleh dari uji hipotesis berdasarkan nilai GAMMA memiliki standar loading sebesar 0.68 error sebesar 0.05 nilai t-hitung sebesar 12.62 bila dikonsultasikan dengan nilai ttabel dengan jumlah sampel > 100 : α 0.05 maka diperoleh ttabel sebesar 1.96. karena thitung 12.62 > ttabel 1.96 maka dapat disimpulkan; kemandirian belajar berpengaruh secara signifikan terhadap prestasi belajar siswa mata pelajaran Bahasa Indonesia. Kemudian untuk uji kecocokan model, merujuk pada kecocokan model fit yang dapat diterima. Untuk nilai Chi-Square Probability sebesar 285.76 < 128. 8039 (good fit), RMSEA = root mean standar error apriximations sebesar 0.18 > 0.05 (marginal fit) Root Mean Square Residual (RMR) = 0.18 ≥ 0.08 (Good fit) Goodness of Fit Index (GFI) = 0.90 > 0.90 (good fit) Adjusted Goodness of Fit Index (AGFI) = 0. 90 > 0.90 (good fit) Parsimony Goodness of Fit Index (PGFI) = 0.35 > 0.05 (good fit) Non-Normed Fit Index (NNFI) = 0.95 > 0.90 (good fit) Comparative Fit Index (CFI) = 0.95 > 0.90 (good fit) Incremental Fit Index (IFI) = 0.95 > 0.90 Relative Fit Index (RFI) = 0.95 > 0.90


2020 ◽  
Vol 13 (2) ◽  
pp. 136-148
Author(s):  
Epha Diana Supandi

Structural equation modeling (SEM) is a multivariate statistical analysis technique that is used to analyze the structural relationships between observed variables and latent constructs. SEM has several methods one of which is Generalized Structured Component Analysis (GSCA). An empirical application concerning the relationship between renumeration and work motivation on employee performance is presented to illustrate the usefulness of the GSCA method. Data were collected by a questionnaire distributed to lecturers and staffs at UIN Sunan Kalijaga Yogyakarta. The result showed that the remuneration variable had a significant and positive impact on work motivation. Also, the work motivation variable had a significant and positive effect on employee performance.


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