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Correlation and Regression Models for Occupant CAE Responses

30 Chapters

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Occupant CAE response landscape

injury metrics, dummy and human body models, load cases, and sources of variability.

Statistical foundations for CAE correlation

random variables, distributions, expectation, variance, and covariance in occupant response data.

Statisticalfoundations

Exploratory data analysis for occupant CAE outputs

histograms, boxplots, scatterplot matrices, and outlier screening.

Exploratoryanalysis

Pearson and Spearman correlation

assumptions, computation, significance testing, and interpretation for CAE versus test responses.

Spearmancorrelation

Partial and multiple correlation

controlling for confounding design variables in occupant response comparisons.

multiplecorrelation

Simple linear regression for CAE correlation

least squares estimation, coefficient of determination, and residual diagnostics.

Hypothesis testing in regression

t-tests, F-tests, confidence intervals, and p-value pitfalls in occupant safety studies.

Hypothesisregression

Multiple linear regression

model specification, matrix formulation, and interpretation of coefficients for CAE response prediction.

Multipleregression

Multicollinearity and variable selection

VIF, stepwise selection, and regularization for occupant response models.

Multicollinearityvariable

Model validation and cross-validation

train-test splits, k-fold CV, and leave-one-out strategies for small CAE datasets.

validationcross-validation

Regression diagnostics

residual plots, leverage, Cook's distance, and influence measures in occupant CAE model assessment.

Regressiondiagnostics

Nonlinear regression

polynomial, exponential, and piecewise models for occupant response curves and injury risk functions.

Nonlinearregression

Logistic regression for binary occupant outcomes

injury/no-injury classification, odds ratios, and ROC analysis.

Logisticregression

Ordinal and multinomial regression for AIS-level and categorical occupant responses.

Ordinal and multinomial regression for AIS-level and categorical occupant responses.

multinomialregression

Generalized linear models

Poisson and negative binomial regression for count-based occupant CAE outputs.

Generalizednegative

Mixed-effects and hierarchical models

accounting for subject, configuration, and run-to-run variability in occupant CAE data.

Mixed-effectshierarchical

Bayesian regression for occupant CAE

priors, posterior inference, and uncertainty quantification in small-sample settings.

Bayesianregression

Gaussian process regression and surrogate modeling

kriging, design of experiments, and response surface for occupant simulations.

Gaussianregression

Correlation of time-history signals

cross-correlation, dynamic time warping, and functional data analysis for occupant response traces.

Correlationtime-history

Principal component analysis and partial least squares

dimensionality reduction for correlated occupant CAE outputs.

Principalcomponent

Model calibration and bias correction

adjusting CAE predictions to test data using regression-based approaches.

calibrationcorrection

Uncertainty quantification and sensitivity analysis

variance-based methods, Sobol indices, and regression-based sensitivity in occupant CAE.

Uncertaintyquantification

Robustness and reliability analysis

regression models for tolerance intervals and probability of injury exceedance.

Robustnessreliability

frontal impact driver injury correlation using dummy and human body model CAE responses.

side impact occupant response regression and validation against sled and vehicle tests.

occupantresponse

rear impact whiplash and seat performance correlation with regression-based injury metrics.

whiplashperformance

pedestrian and cyclist protection CAE correlation using regression and classification models.

pedestrianprotection

child occupant safety CAE correlation and regression modeling across restraint configurations.

Reporting and communication

regression tables, effect sizes, diagnostic summaries, and correlation matrices for engineering reviews.

Reportingcommunication

Capstone project

end-to-end correlation and regression workflow for a selected occupant CAE response dataset.

Capstoneend-to-end