StatsCalculators.com

Statistical Sampling Tool

Created:March 28, 2025

This tool is built with pandas.DataFrame.sample, numpy.random.choice, and numpy.random.randint functions to help you sample data from a dataset. You can select and configure a sampling method to generate a sample from your data. The tool provides summary statistics and visual comparisons between the original and sampled data. You can also export the sampled data to a CSV file.

Tool

Step 1: Import Your Data

Upload your dataset or use our sample data

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Statistical Sampling Methods

Statistical sampling is a process of selecting a subset of individuals from a population to estimate characteristics of the whole population. It's widely used in research, quality control, auditing, and data science when analysis of an entire population is impractical. Here is a visual guide to common sampling methods:

Simple Random Sampling

Each element in the population has an equal chance of selection.

PopulationRandom selection across the entire population

Stratified Sampling

Population divided into distinct groups (strata), then samples taken from each stratum.

Stratum 1Stratum 2Stratum 3Samples drawn separately from each stratum

Systematic Sampling

Elements selected at regular intervals after a random start.

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950Systematic Sampling (k=3)Start at element 2, then select every 3rd element

Cluster Sampling

Population divided into clusters, and entire clusters are randomly selected.

Cluster 1Cluster 2Cluster 3Cluster 4Cluster 5Cluster 61. Randomly selected clustersAll elements within selected clusters are included

How Cluster Sampling Works in Our Tool

Cluster sampling selects entire groups (clusters) rather than individual elements:

  1. The population is divided into clusters based on a categorical variable
  2. The algorithm calculates the average cluster size
  3. It determines how many clusters to sample to approximate the desired sample size
  4. Clusters are randomly selected without replacement
  5. All elements from the selected clusters are included in the final sample
Note: The actual sample size may differ from the requested size since entire clusters are selected.

Two-Stage Cluster Sampling

Clusters are randomly selected, then elements are sampled within each selected cluster. Basically, simple random sampling after cluster sampling.

Cluster 1Cluster 2Cluster 3Cluster 4Cluster 5Cluster 61. Randomly selected clusters2. Randomly selected elements within chosen clusters

Weighted Sampling

Elements selected with probability proportional to a weight value.

Weighted SamplingWeight = 1Weight = 2Weight = 3Weight = 4132441232341Higher weights = higher selection probability

Bootstrap Sampling

Sampling with replacement to create multiple resamples from the original dataset.

Bootstrap SamplingOriginal Sample (n=10)12345678910Resample with replacementBootstrap 113246297410Bootstrap 2255371081042Bootstrap 366911035877Bootstrap 44136842795Some elements appear multiple times, some not at all