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Engineering Data Analysis Simulations

A collection of interactive 3D visualizations and simulations to help you master concepts in engineering data analysis.

Introduction to Data Analysis - Theory & Concepts

Overview of statistics in engineering, data collection methods, observational studies versus experiments, and sampling techniques.

Interactive Data Sampling Simulation

Descriptive Statistics - Theory & Concepts

Measures of central tendency, dispersion, position, skewness, and kurtosis, including grouped data.

Descriptive Statistics Explorer

Dataset (5)

5
8
12
15
20
Mean (Average)
12.00

The sum of all values divided by the number of values.

Median
12.00

The middle value when the data is sorted.

ModeMo
None

The most frequently occurring value(s).

RangeR
15.00
Std. Deviations
5.87

Conditional Probability - Theory & Concepts

Understanding how probabilities change when new information is available, including Bayes' Theorem and Independence.

Bayes' Theorem Explorer

2.0%

Initial probability of a defect.

95.0%

Probability test is positive when defect is present.

10.0%

Probability test is positive when NO defect is present.

Posterior Probability

16.2%

$P(D|T)$ - Probability it is actually defective given a positive test.

Total Positives $P(T)$11.7%
True Positives $P(T|D) \times P(D)$1.90%
False Positives $P(T|G) \times P(G)$9.80%

Tests of Hypotheses - Theory & Concepts

Null and alternative hypotheses, Type I/II errors, P-values, and tests for means, proportions, variances, and Goodness-of-Fit.

Hypothesis Testing Simulator

Test Statistic (Z)1.96
Conclusion
Fail to Reject H₀
The test statistic is within the acceptance region.
-Zα/2Zα/2Z = 1.96Standard Normal Distribution

Analysis of Variance - Theory & Concepts

One-way ANOVA, Randomized Complete Block Design (RCBD), and post-hoc tests for comparing multiple means.

One-Way ANOVA Simulation

Adjust Group Means

Group 1 True Mean: 50
Group 2 True Mean: 50
Group 3 True Mean: 50
Within-Group Variance (Noise): 10

F-Test Result

F = 0.06

Critical F-value (α=0.05\alpha=0.05): 3.35

Fail to Reject Null (No significant difference)

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Statistical Quality Control - Theory & Concepts

Control charts for variables and attributes, process capability indices, and natural tolerance limits.

Control Chart (Xˉ\bar{X}) Simulator

Simulate a process and observe how control charts detect shifts (assignable causes). The limits are calculated based on the first half of the data (in-control).

Process Parameters

100
5
5
+0

Applies a sudden shift to the mean halfway through the timeline.

UCL0.00
CL (Xˉˉ\bar{\bar{X}})0.00
LCL0.00