Journal: Scientific Reports

Article Title: Digital restoration and feature recognition of a Qing-Dynasty vernacular dwelling based on multimodal data fusion

doi: 10.1038/s41598-025-31544-7

Figure Lengend Snippet: Importing HBIM point cloud data into Autodesk Revit 2018.

Article Snippet: Fig. 3 Importing HBIM point cloud data into Autodesk Revit 2018.

Techniques:

Journal: Structural equation modeling : a multidisciplinary journal

Article Title: BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models

doi: 10.1080/10705511.2014.856691

Figure Lengend Snippet: SIM1 Fit Statistic Quantiles and Median Ranks with No True Model ( N = 100)

Article Snippet: We call this approximation the HBIC (Haughton labels it BIC*). log P ( Y | M k ) = l ( θ ^ k ) + d k 2 log ( 2 π ) − d k 2 log ( N ) + O ( 1 ) = l ( θ ^ k ) − d k 2 log ( N 2 π ) + O ( 1 ) . (13) In comparing models M 2 and M 1 and multiplying by 2 this leads to H B I C = 2 [ l ( θ ^ 2 ) − l ( θ ^ 1 ) ] − ( d 2 − d 1 ) log ( N 2 π ) . (14) The HBIC form that compares the hypothesized model to the saturated model using the chi-square test statistic is H B I C s 1 = T m l − d f log ( N 2 π ) . (15) The HBIC as with the BIC is straightforward to calculate from the output of SEM programs and using a calculator.

Techniques:

Journal: Structural equation modeling : a multidisciplinary journal

Article Title: BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models

doi: 10.1080/10705511.2014.856691

Figure Lengend Snippet: SIM1 Fit Statistic Quantiles and Median Ranks with No True Model ( N = 500)

Article Snippet: We call this approximation the HBIC (Haughton labels it BIC*). log P ( Y | M k ) = l ( θ ^ k ) + d k 2 log ( 2 π ) − d k 2 log ( N ) + O ( 1 ) = l ( θ ^ k ) − d k 2 log ( N 2 π ) + O ( 1 ) . (13) In comparing models M 2 and M 1 and multiplying by 2 this leads to H B I C = 2 [ l ( θ ^ 2 ) − l ( θ ^ 1 ) ] − ( d 2 − d 1 ) log ( N 2 π ) . (14) The HBIC form that compares the hypothesized model to the saturated model using the chi-square test statistic is H B I C s 1 = T m l − d f log ( N 2 π ) . (15) The HBIC as with the BIC is straightforward to calculate from the output of SEM programs and using a calculator.

Techniques:

Journal: Structural equation modeling : a multidisciplinary journal

Article Title: BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models

doi: 10.1080/10705511.2014.856691

Figure Lengend Snippet: SIM1 Fit Statistic Quantiles and Median Ranks with No True Model ( N = 1000)

Article Snippet: We call this approximation the HBIC (Haughton labels it BIC*). log P ( Y | M k ) = l ( θ ^ k ) + d k 2 log ( 2 π ) − d k 2 log ( N ) + O ( 1 ) = l ( θ ^ k ) − d k 2 log ( N 2 π ) + O ( 1 ) . (13) In comparing models M 2 and M 1 and multiplying by 2 this leads to H B I C = 2 [ l ( θ ^ 2 ) − l ( θ ^ 1 ) ] − ( d 2 − d 1 ) log ( N 2 π ) . (14) The HBIC form that compares the hypothesized model to the saturated model using the chi-square test statistic is H B I C s 1 = T m l − d f log ( N 2 π ) . (15) The HBIC as with the BIC is straightforward to calculate from the output of SEM programs and using a calculator.

Techniques:

Journal: Structural equation modeling : a multidisciplinary journal

Article Title: BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models

doi: 10.1080/10705511.2014.856691

Figure Lengend Snippet: Computation of IC Measures for the Bollen and Curran (2004) Models

Article Snippet: We call this approximation the HBIC (Haughton labels it BIC*). log P ( Y | M k ) = l ( θ ^ k ) + d k 2 log ( 2 π ) − d k 2 log ( N ) + O ( 1 ) = l ( θ ^ k ) − d k 2 log ( N 2 π ) + O ( 1 ) . (13) In comparing models M 2 and M 1 and multiplying by 2 this leads to H B I C = 2 [ l ( θ ^ 2 ) − l ( θ ^ 1 ) ] − ( d 2 − d 1 ) log ( N 2 π ) . (14) The HBIC form that compares the hypothesized model to the saturated model using the chi-square test statistic is H B I C s 1 = T m l − d f log ( N 2 π ) . (15) The HBIC as with the BIC is straightforward to calculate from the output of SEM programs and using a calculator.

Techniques: