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Bootstrap sampling

Bootstrap sampling is a resampling technique that repeatedly draws observations with replacement from observed data to estimate a statistic’s sampling behavior or variability.

How 5 Manning books explain it

Ensemble Methods for Machine Learning

A bootstrap sample is a dataset replicate formed by sampling observations with replacement from an original dataset.

How it is used
Creates diverse training replicates for bagging and related parallel ensembles using one data set.
How deep it goes
Explains replacement mechanics, OOB evaluation, and a from-scratch decision-tree implementation rather than formal statistical derivations.
Examples
Uses six observations with repeats, NumPy index sampling, and a noisy two-dimensional moon classification task.
What you can do after
Build it from scratch to train independent bagged estimators and aggregate classification or regression predictions.

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Experimentation for Engineers

A bootstrap sample is a dataset formed by repeatedly drawing observations with replacement from an observed dataset.

How it is used
Estimates aggregate uncertainty and arm-quality probabilities, then generates varied training datasets for recommender model ensembles.
How deep it goes
Works through resampling algorithms, CTR distributions, pbest counting, and ensemble construction, but does not develop formal bootstrap theory.
Examples
Uses click indicators, simulated arm CTRs, app-visit counts, and business-metric measurements to demonstrate resampling and comparison.
What you can do after
Apply it via NumPy to simulate repeated measurements, estimate arm-best probabilities, and create alternative datasets for model fitting.

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Effective Data Analysis

Bootstrapping is a resampling method that repeatedly samples with replacement from observed data to estimate the variability of a statistic or inferential result.

How it is used
Uses resampling to estimate population parameters and assess result variability during replication.
How deep it goes
Defines resampling and gives a t-statistic workflow, but stops short of detailed treatment.
Examples
Uses n=500 data, 1,000 replacement samples of n=50, and a distribution of t-statistics.
What you can do after
Apply it via SciPy to estimate how often a two-group t-test produces significant results.

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Statistics Every Programmer Needs

A bootstrap sample is a sample formed by repeatedly selecting observations with replacement from an original sample.

How it is used
Uses resampled training data to diversify random-forest trees and reduce overfitting.
How deep it goes
Explains sampling with replacement and its ensemble effect, but does not derive bootstrap probabilities or confidence intervals.
Examples
Demonstrates RandomForestClassifier fitting with X_train and y_train.
What you can do after
Apply it via scikit-learn's RandomForestClassifier to train trees on varied resampled datasets.

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Machine Learning for Tabular Data: XGBoost, Deep Learning, and AI

Bootstrap is a resampling technique that creates datasets by sampling observations with replacement from an observed dataset.

How it is used
Uses resampling to estimate uncertainty and create diverse training datasets for bagging and other averaging ensembles.
How deep it goes
Defines sampling with replacement, explains its statistical and ensemble rationale, and stops short of mathematical derivations.
Examples
Uses statistical resamples, bagged decision trees, and scikit-learn sampling configurations.
What you can do after
Apply bootstrap sampling to estimate uncertainty or configure bagged tree ensembles with scikit-learn.

Read how Machine Learning for Tabular Data: XGBoost, Deep Learning, and AI explains bootstrap sampling →

Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.