DESCRIPTIVE
Data summary measures.
Average value
Middle value.
Central tendency measures.
Data spread measure.
Squared standard deviation.
Variance of entire population.
Max minus min.
Interquartile range.
Data division into fourths.
Position in distribution.
Relative position score.
Min, Q1, median, Q3, max.
Data spread measures.
Relative variability.
Average distance from mean.
Robust spread measure.
RMS value.
Joint variability.
Distribution asymmetry.
Class interval statistics.
Combined standard deviation.
Coefficient of variation.
Total squared deviations.
Detect extreme values.
Outlier boundaries.
PROBABILITY
Basic probability calculations.
P(A|B) calculations.
P(A and B) calculations.
Three event probabilities.
Conditional probability.
Probability-weighted average.
Decision theory.
Convert odds formats.
Ordered arrangements.
Heads/tails chances.
Consecutive outcome odds.
Roll outcome chances.
Expected dice value.
Simulate dice rolls.
DISTRIBUTIONS
Gaussian probabilities.
Z-score from probability.
Binary outcome probabilities.
Rare event frequency.
Time between events.
Equal probability distribution.
Calculate beta probabilities.
Sampling without replacement.
Trials until r successes.
Reliability analysis.
Wind speed modeling.
Sample max/min distribution.
Count occurrences.
Frequency as proportion.
TESTING
Statistical significance test.
Compare sample means.
Student's t test statistic.
Large sample hypothesis test.
Standard score.
Statistical significance.
Hypothesis test thresholds.
Analysis of variance test.
Variance ratio test.
Categorical data test.
Small sample categorical.
Paired categorical data.
Non-parametric comparison.
Non-parametric test.
Test conversion significance.
Sample size for power.
Multiple comparison adjustment.
Statistical test parameter.
REGRESSION
Linear relationship strength.
Linear correlation coefficient.
Rank correlation.
Regression fit quality.
Parabolic curve fit.
Third-degree polynomial fit.
Higher degree curve fit.
Exponential curve fit.
Actual minus predicted.
Residual standard error.
Mean squared error.
SAMPLING
Required sample size.
Estimate population parameters.
Survey accuracy measure.
Single parameter value.
Sampling variability.
Sample statistic distribution.
Sample vs population difference.
Sample proportion distribution.
Sample proportion.
Standard deviation of means.
Sample mean distribution.
Binomial to normal.
Discrete to continuous.
Convert from z-score.
VISUALIZATION
Bar chart distribution.
Five-number summary visual.
XY relationship visualization.
Circular proportion chart.
Simple data visualization.
Data plot visualization.
Line chart of frequencies.
Histogram bin width.
PARADOXES
Shared birthday probability.
Geometric probability.
Bayesian paradox.
Conditional gender probability.
Rare event testing.
Losing games winning strategy.
Money switching paradox.
THEOREMS
QUALITY
Evaluate classification models.
Classification metrics.
Diagnostic test accuracy.
Diagnostic test performance.
Updated diagnostic probability.
Risk ratio comparison.
Event probability.
Defects per million.
Process control boundary.
Standardized deviation.
ERROR
ADVANCED
Effect size measure.
Information entropy.
Species diversity.
Categorical variability.
Intraclass correlation.
Smoothed trend line.
Percentage change.
Calculate absence rate.
Calculate acceptance percentage.
Calculate weighted ratings.
Wage disparity analysis.
Journal citation metric.