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Hypothesis Testing and ANOVA for Crash Engineering Decisions

30 Chapters
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01
Crash engineering decision context
role of statistical inference in occupant safety, structural performance, and regulatory compliance.
decisionstatistical
02
Formulating testable hypotheses from crash test objectives
null and alternative hypotheses, one-sided vs. two-sided tests, and decision error trade-offs.
Formulatingtestable
03
Data types and distributions in crash engineering
acceleration pulses, force-displacement curves, injury criteria, and normality assessment.
distributionsacceleration
04
One-sample and two-sample hypothesis tests for crash metrics
t-tests, paired comparisons, and practical significance in sled and barrier tests.
One-sampletwo-sample
05
Nonparametric alternatives for crash data
Wilcoxon, Mann-Whitney, and sign tests when normality or sample size assumptions fail.
Nonparametricalternatives
06
Analysis of variance (ANOVA) fundamentals for crash engineering
partitioning variance in test matrices and interpreting F-statistics.
Analysisvariance
07
One-way ANOVA for comparing crash test configurations
factor levels, treatment effects, and post-hoc multiple comparisons.
ANOVAcomparing
08
Randomized block designs in crash testing
blocking by vehicle platform, test facility, or environmental conditions to reduce noise.
Randomizedblocking
09
Two-way and factorial ANOVA for crash engineering
main effects, interaction effects, and interpretation of restraint system and impact angle factors.
factorialANOVA
10
Repeated measures and mixed-effects models for crash test series
accounting for correlated observations within vehicles or test campaigns.
Repeatedmeasures
11
Assumption checking and diagnostics for ANOVA in crash engineering
homogeneity of variance, residual analysis, and transformations.
Assumptionchecking
12
Power analysis and sample size determination for crash test programs
balancing cost, confidence, and detection of meaningful effects.
analysisdetermination
13
Equivalence testing and non-inferiority in crash safety
demonstrating comparable performance of alternative designs or materials.
Equivalencenon-inferiority
14
Hypothesis testing for injury criteria
AIS, HIC, chest deflection, and statistical decision rules for pass/fail thresholds.
Hypothesiscriteria
15
ANOVA applications in occupant restraint optimization
airbag, seatbelt, and seat design factors and their interactions.
ANOVAapplications
16
Statistical comparison of crash test facilities and procedures
detecting laboratory effects and ensuring reproducibility.
Statisticalcomparison
17
Hypothesis testing for material and component crashworthiness
comparing energy absorption, peak force, and failure modes.
Hypothesismaterial
18
ANOVA in pedestrian and cyclist safety research
impact speed, vehicle front-end design, and injury outcome comparisons.
ANOVApedestrian
19
Bayesian hypothesis testing for crash engineering
posterior probabilities, Bayes factors, and decision-making under uncertainty.
Bayesianhypothesis
20
Resampling and simulation-based inference for crash data
bootstrap confidence intervals and permutation tests for ANOVA.
Resamplingsimulation-based
21
Robust ANOVA and trimmed means for crash engineering data with outliers or heavy-tailed distributions.
Robust ANOVA and trimmed means for crash engineering data with outliers or heavy-tailed distributions.
ANOVAoutliers
22
Multivariate analysis of variance (MANOVA) for correlated crash responses
simultaneous inference on multiple injury metrics.
Multivariateanalysis
23
Analysis of covariance (ANCOVA) in crash testing
adjusting for covariates such as impact velocity or vehicle mass.
Analysiscovariance
24
Statistical process control and hypothesis testing for crash test repeatability
detecting shifts in test equipment or procedures.
Statisticalhypothesis
25
Meta-analysis and pooled hypothesis testing across crash test databases
combining evidence from multiple studies or campaigns.
Meta-analysishypothesis
26
Decision-theoretic approaches to crash safety
expected loss, risk thresholds, and hypothesis testing in regulatory and design contexts.
Decision-theoreticapproaches
27
Case study
hypothesis testing for a new restraint system vs. baseline in frontal impact.
hypothesisrestraint
28
Case study
ANOVA of side impact test matrix for door beam and padding design factors.
ANOVA
29
Case study
equivalence testing for a material substitution in a crash energy management structure.
equivalencematerial
30
Capstone project
designing and executing a complete hypothesis testing and ANOVA plan for a crash engineering decision problem.
Capstonedesigning