Statistics Mastery
Turn data into decisions: descriptive statistics, sampling distributions, hypothesis tests, and robust methods. You will implement t-tests, confidence intervals, bootstrap resampling, rank correlations, and multiple-comparison corrections. Best for aspiring data scientists and analysts who need to defend their conclusions.
Your progress
0/29 · 0%Path readiness 0%Easy 0% · Medium 0% · Hard 0%
Continue path · MeanWhat you will learn
- Summarize datasets with robust, weighted, and standardized descriptives
- Quantify relationships with covariance, correlation, and rank measures
- Run and interpret t-tests, confidence intervals, and non-parametric tests
- Correct for multiple comparisons and resample with the bootstrap
Before you start
1Describing Data
Center, spread, and shape: means (including weighted), variance, median, mode, z-scores, standard error, and coefficient of variation.
- MeanEasyst-001Statistics
- VarianceEasyst-002Statistics
- MedianEasyst-006Statistics
- ModeEasyst-007Statistics
- Weighted MeanEasyst-010Statistics
- Z-ScoreEasyst-018Statistics
- Easy
- Easy
Stage checkpoint
0/2 to passA checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.
2Relationships Between Variables
How variables move together: covariance, Pearson correlation, correlation matrices, trimmed means, quartiles, percentiles, skewness, and rolling means.
- CovarianceMediumst-003Statistics
- Medium
- Trimmed MeanMediumst-022Statistics
- Medium
- Medium
- Medium
- Medium
- Rolling MeanMediumst-029Statistics
Stage checkpoint
0/2 to passA checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.
- Population SkewnessMedium
- Correlation Matrix 2x2Medium
- Rolling MeanMedium
3Inference from Samples
Draw conclusions from data: one-sample and Welch t-statistics, degrees of freedom, confidence intervals with unknown sigma, KS statistics, permutation p-values, and bootstrap intervals.
- Medium
- Medium
- Medium
- Hard
- Hard
- Hard
- Hard
Stage checkpoint
0/2 to passA checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.
- Welch Degrees of FreedomHard
- Permutation p-Value from Difference of MeansHard
- Bootstrap Mean CI (Percentile)Hard
4Robust Tests and Multiple Comparisons
When assumptions break and tests multiply: rank correlations with ties, Mann-Whitney U, bootstrap-t and percentile intervals, permutation tests on medians, sign flips, and Benjamini-Hochberg.
- Hard
- Hard
- Hard
- Hard
- Hard
- Hard
Stage checkpoint
0/2 to passA checkpoint is a short retrieval test drawn from this stage: solve 2 of 3 from memory to mark the stage complete. The stage stays open either way.
- Bootstrap-t Confidence IntervalHard
- Permutation p-Value for Difference in MediansHard
- Randomization Sign-Flip p-ValueHard
Capstone
CollectionClose the path with one real artifact from the catalog.
The hypothesis-testing and multiple-testing toolkit from this path, assembled as A/B-test practice.