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Analytical throughput comparison between two models is shown in Fig. 8.

The solutions show that although the difference between two models is small, there are considerable differences in the stress profile.

The speculated reason for a wide variation in the displacement pattern between two models is the junction of application of force.

The Bayes factor between two models is defined as the ratio of their respective marginal likelihood.

The model distance between two models is defined as the number of different constraints in these two models.

A measure to compare the quality of fit between two models is the difference of AICs (Δ AIC) between two models.

The difference in area under the curve between two models was tested using Delong's method [ 24].

The difference between two models was estimated by likelihood ratio test statistics, twice the log likelihood difference between the two compared models (2Δl) compared against χ distribution.

The PCV between two models was computed as follows: PCV=((VA− VB)/ VA × 100), where VA was the variance of the initial model and VB the variance of the model containing additional variables.

Model fit was assessed using the likelihood-ratio test (LRT), which capitalises on the fact that differences in −2LL between two models are χ distributed, with degrees of freedom equal to the difference in number of estimated parameters.

The significant difference between two models was evaluated by calculating twice the log-likelihood difference, and followed an χ distribution with the number degree of freedom equal to the difference in the number of free parameters.