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Multi-scale reliability analysis of FRP truss bridges with hybrid random and interval uncertainties

This suggests at least one important measure of satisfaction can be captured with a single item. For every “rule” in measurement, there’s usually a long list of exceptions. For example, we found that the long-standing practice of alternating the tone of items (a “rule” for making good questionnaires) to reduce acquiescence bias actually does more harm than good. It’s hard to capture the fickle nature of attitudes and constructs in any measure. This column presents the value that Cronbach’s alpha would be if that particular item was deleted from the scale. We can see that removal of any question, except question 8, would result in a lower Cronbach’s alpha.

Reliability analysis is determined by obtaining the proportion of systematic variation in a scale, which can be done by determining the association between the scores obtained from different administrations of the scale. Thus, if the association in reliability analysis is high, the scale yields consistent results and is therefore reliable. Cronbach’s alpha is a measure used to assess the reliability, or internal consistency, of a set of scale or test items. In other words, the reliability of any given measurement refers to the extent to which it is a consistent measure of a concept, and Cronbach’s alpha is one way of measuring the strength of that consistency. Content validity is an assessment of how well a set of scale items matches with the relevant content domain of the construct that it is trying to measure.

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The paper also presents nested probabilistic models for uncertain physical characteristics that are difficult to measure. Observational data are required to calibrate the nested probabilistic models and correction terms. To provide context, the paper discusses physics-based probabilistic models for a class of boundary value problems that includes as a special case, the steady advection–diffusion–reaction equation, governing a diverse range of physical, chemical, and biological phenomena.

Reliability in composites – A selective review and survey of current development

As a result, Pamukkale Critical Thinking Skills Scale, which was developed in two forms, is a valid and reliable measurement tool to measure critical thinking skills of university students. The findings were discussed in the light of the literature and some suggestions were given. Defects exist in fibre including waviness, misalignments, uneven distribution and broken fibres; voids are commonly seen in matrix; and interface defects can be unbonded regions on fibre surfaces and delamination between layers.

Next, evaluate the predictive ability of each construct within a theoretically specified nomological network of construct using regression analysis or structural equation modeling. If the construct measures satisfy most or all of the requirements of reliability and validity described in this chapter, we can be assured that our operationalized measures are reasonably adequate and accurate. In order to address the challenge suffered by the traditional approaches due to imprecise probability information, non-probabilistic approaches have been developed to describe the uncertain parameters and then conduct the reliability analysis. The non-probabilistic reliability approach has been well developed since the concept was introduced in , , and it has been applied to a variety of engineering problems.

Optimality can be defined in terms of the value of information , which provides a rational metric for quantifying the benefits of data gathering efforts to support system management decision-making. However, the computation of this metric in spatially and temporally extensive systems can present a practical impediment to its implementation. We describe this complexity, and investigate a special case of system topology, termed as a temporally multi-scale analysis decomposable system with uncontrolled evolution, in which the complexity of assessing VoI grows at a manageable rate with respect to the system management time duration. We demonstrate the evaluation and optimization of the VoI in an example of such a system. You can calculate internal consistency without repeating the test or involving other researchers, so it’s a good way of assessing reliability when you only have one data set.

The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science

Using the Bayesian approach, the differential equations are combined with observational data and any prior information to estimate the unknown model parameters and uncertain system characteristics. The paper then formulates the reliability problem for the computation of failure probability of physical and engineering systems using the proposed physics-based probabilistic models. To illustrate, the paper considers the reliability analysis of axially loaded rock socketed drilled shafts. Structural reliability analysis frequently requires the use of sampling-based methods, particularly for the situation where the failure domain in the random variable space is complex. One of the most efficient and widely utilized methods to use in such a situation is importance sampling.

  • Discriminant validity is established by demonstrating that indicators of one construct are dissimilar from (i.e., have low correlation with) other constructs.
  • This thinking has influenced standardized testing and personality assessments.
  • Cronbach’s alpha is thus a function of the number of items in a test, the average covariance between pairs of items, and the variance of the total score.
  • The analysis included tracing the load-deformation response of the RC circular-beams, load-strains behavior on the surface of the concrete as well as the strains in the GFRP bars.
  • Test-retest reliability is a measure of consistency between two measurements of the same construct administered to the same sample at two different points in time.

Homogenization methods with considerations of interaction between matrix and inclusion have been adopted to consider general types of composites. Developed a successive perturbation-based multi-scale stochastic analysis method with the use of Mori–Tanaka method. Similar concept was adopted by , to develop a surrogate model to address the computational cost problem when involving coupled FEA.

Framework of multiscale hybrid reliability analysis

You use it when you have two different assessment tools or sets of questions designed to measure the same thing. To measure interrater reliability, different researchers conduct the same measurement or observation on the same sample. Then you calculate the correlation between their different sets of results. If all the researchers give similar ratings, the test has high interrater reliability. Finally, Cronbach’s alpha coefficient should be higher than 0.70; that scale has good internal validity and reliability.

multi-scale reliability analysis

Consequently, psychology, education, marketing, and user experience have a long history of recommending multiple items to measure a construct. Observations should be independent, and errors should be uncorrelated between items. Secondly, scales should be additive and each item is linearly related to the total score. Alternatively, you might want to use the option reverse to reverse the signs of any items/variables you list in between the parentheses. Reliability refers to the consistency of a measure andvalidity refers to the extent to which a test or scale measures the construct it sets out to measure. The higher the correlation between the two halves, the higher the internal consistency of the test or survey.

Composite Structures

The staged transverse tensile strain field evolution process was analyzed. The crack initiation and propagation could be clearly captured by the strain field contour. In addition, a novel DIC data analysis strategy was applied to investigate the uniformity variation of the transverse tensile strain field. This paper found that the strain field uniformity has a strong correlation with the damage extent and can be used to reflect the damage evolution of the material sensitively.

This is a data reduction technique which aggregates a given set of items to a smaller set of factors based on the bivariate correlation structure discussed above using a statistical technique called principal components analysis. These factors should ideally correspond to the underling theoretical constructs that we are trying to measure. The general norm for factor extraction is that each extracted factor should have an eigenvalue greater than 1.0. A more sophisticated technique for evaluating convergent and discriminant validity is the multi-trait multi-method approach. This technique requires measuring each construct using two or more different methods (e.g., survey and personal observation, or perhaps survey of two different respondent groups such as teachers and parents for evaluating academic quality). This is an onerous and relatively less popular approach, and is therefore not discussed here.

Bergkvist and Rossiter had 92 undergraduate students evaluate four advertisements and rate how much they liked the advertisement, attitude toward the brand, purchase intention, and brand beliefs. They found no difference in predictive capability between multiple item measures and single item measures. To see whether the conventional wisdom that single items are insufficient, I examined the literature for studies on single versus multi-item scales.

To address this challenge, efforts have been dedicated to develop uncertainty quantification based on stochastic multiscale modelling with the help of homogenization methods or micromechanical models. Develop a micro-mechanics based method to propagate uncertainties from micro to structure scale due to the uncertainties in the constituent material properties, in the ply level parameters and in structural variables. Probabilistic structural responses were obtained by integrating https://wizardsdev.com/ the uncertainty propagation approach with the structural analysis, and the structural reliability was evaluated by the fast probability integration algorithm. This method has been applied to understand the uncertain structural behaviour including natural frequencies , displacement , critical buckling loads , etc. It should be noted that the effective material properties are estimated by micromechanics-based formulae, which may be suitable for unidirectional FRP composites.

Bounds on system reliability by linear programming

The method requires far less samples than both crude Monte Carlo simulation and the cross-entropy-based adaptive importance sampling method employing a unimodal density function; thus achieving relatively small values of the coefficient of variation efficiently. The computational efficiency and accuracy of the proposed method are not hampered by the probability level, dimension of random variable space, and curvatures of limit-state function. Moreover, the distribution model parameters of the Gaussian densities in the obtained near-optimal density help identify important areas in the random variable space and their relative importance. The effectiveness and efficiency of the method are compared with the Monte Carlo simulation method through a theoretical example. The comparison with the other three interval variable processing methods demonstrates that the proposed method can effectively evaluate the reliability of FRP truss bridge in a multi-source and multi-scale approach. The structural system is a complex structural form in engineering practice.

multi-scale reliability analysis

Items that do not meet the expected norms of factor loading (same-factor loadings higher than 0.60, and cross-factor loadings less than 0.30) should be dropped at this stage. The remaining scales are evaluated for reliability using a measure of internal consistency such as Cronbach alpha. Scale dimensionality may also be verified at this stage, depending on whether the targeted constructs were conceptualized as being unidimensional or multi-dimensional.

The results of the numerical analysis were verified by comparing them against experimental results of six similar previously tested specimens, that had 500-mm diameter. The analysis included tracing the load-deformation response of the RC circular-beams, load-strains behavior on the surface of the concrete as well as the strains in the GFRP bars. The outputs from the FE analysis showed that the program was able to foresee the experimental results with good precision. The, average, value for the experimental shear strength to the foreseen ones by the FE program, (Vexp/VModel) for the six beams, is “1.00 ± 0.05″ with 2.5% COV. After ward, a parametric study was performed to expand and evaluate more parameters such as size effect , span-to-depth (a/d) ratio from 1.5 to 3.5, and spirals’ reinforcement ratio between 0.32 and 1.27%. The numerical investigation confirmed the prominent effect of these parameters on the shear strength and behavior of the GFRP-RC circular-beams.

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