Figure 1 - A Note on Exploratory Item Factor Analysis by Singular Value Decomposition

Figure 1. A scree plot for choosing the number of factors. The y-axis shows the standardized singular valuesˆσvaluesˆ valuesˆσ k / √ N J, wherê σ k s are obtained from Step 7 of Algorithm 1. The data are simulated from an IFA model with K = 5, J = 200, and N = 4000. The input dimension is set to be 10 in Algorithm 1. A singular value gap can be found between the 5th and 6th singular values

A scree plot for choosing the number of factors. The y-axis shows the standardized singular valuesˆσvaluesˆ valuesˆσ k / √ N J, wherê σ k s are obtained from Step 7 of Algorithm 1. The data are simulated from an IFA model with K = 5, J = 200, and N = 4000. The input dimension is set to be 10 in Algorithm 1. A singular value gap can be found between the 5th and 6th singular values

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A Note on Exploratory Item Factor Analysis by Singular Value Decomposition - Scientific Figure on ResearchGate. Available from: https://www.researchgate.net/figure/A-scree-plot-for-choosing-the-number-of-factors-The-y-axis-shows-the-standardized_fig1_341652953 [accessed 26 Apr 2025]

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Figure 1. A scree plot for choosing the number of factors. The y-axis shows the standardized singular valuesˆσvaluesˆ valuesˆσ k / √ N J, wherê σ k s are obtained from Step 7 of Algorithm 1. The data are simulated from an IFA model with K = 5, J = 200, and N = 4000. The input dimension is set to be 10 in Algorithm 1. A singular value gap can be found between the 5th and 6th singular values

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<a href="https://www.researchgate.net/figure/A-scree-plot-for-choosing-the-number-of-factors-The-y-axis-shows-the-standardized_fig1_341652953"><img src="https://www.researchgate.net/publication/341652953/figure/fig1/AS:895490652635137@1590513017410/A-scree-plot-for-choosing-the-number-of-factors-The-y-axis-shows-the-standardized.png" alt="A scree plot for choosing the number of factors. The y-axis shows the standardized singular valuesˆσvaluesˆ valuesˆσ k / √ N J, wherê σ k s are obtained from Step 7 of Algorithm 1. The data are simulated from an IFA model with K = 5, J = 200, and N = 4000. The input dimension is set to be 10 in Algorithm 1. A singular value gap can be found between the 5th and 6th singular values"/></a>