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Related Concept Videos

Sampling Plans01:23

Sampling Plans

Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
Random sampling is a method where each member of the population has an equal chance of being selected for the sample. It involves selecting individuals randomly, often using random number generators or lottery-type methods. For example, when analyzing the properties of a...
Stratified Sampling Method01:16

Stratified Sampling Method

Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a stratified sample, divide the population into groups called strata and then take a...
Random Sampling Method01:09

Random Sampling Method

Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
Cluster Sampling Method01:20

Cluster Sampling Method

Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Bioequivalence Experimental Study Designs: Repeated Measures, Cross-Over, Carry-Over, and Latin Square Designs01:15

Bioequivalence Experimental Study Designs: Repeated Measures, Cross-Over, Carry-Over, and Latin Square Designs

Bioequivalence experimental study designs play a pivotal role in testing the effectiveness of various treatments. Key among these are the repeated measures, cross-over, carry-over, and Latin square designs. In the repeated measures design, each subject receives all treatments, allowing for temporal comparisons. This type of design is useful in reducing variability but requires careful planning to avoid bias.The cross-over design, an economical method, involves sequential administration of...
Bioequivalence Experimental Study Designs: Completely Randomized and Randomized Block Designs01:20

Bioequivalence Experimental Study Designs: Completely Randomized and Randomized Block Designs

Bioequivalence experimental study designs are crucial methodologies used in evaluating and comparing the bioavailability of different drug products. These designs are categorized into various types: completely randomized, randomized block, repeated measures, cross and carry-over, and Latin square designs.Completely randomized designs involve randomly allocating treatments to all subjects participating in the experiment. This allocation is achieved by assigning unique random numbers to subjects...

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Updated: Jul 12, 2026

Sampling Soils in a Heterogeneous Research Plot
07:11

Sampling Soils in a Heterogeneous Research Plot

Published on: January 7, 2019

Distributionally balanced sampling designs.

Anton Grafström1, Wilmer Prentius1

  • 1Department of Forest Resource Management, Swedish University of Agricultural Sciences, SE-901 83 Umeå, Sweden.

Biometrics
|July 10, 2026
PubMed
Summary
This summary is machine-generated.

Distributionally Balanced Designs (DBD) create representative samples by matching the full auxiliary distribution, not just moments. This method improves estimate reliability for costly field data collection in environmental sciences.

Keywords:
balanced samplingenergy distanceprobability samplingspatial samplingsystematic samplingvariance reduction

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Area of Science:

  • Environmental science
  • Ecology
  • Forestry
  • Statistical sampling

Background:

  • Field data collection in environmental sciences is expensive.
  • Maximizing information from limited samples is crucial.
  • Traditional methods may not capture full distributional representativeness.

Purpose of the Study:

  • Introduce Distributionally Balanced Designs (DBD) for probability sampling.
  • Target representativeness at the full auxiliary distribution level.
  • Improve survey reliability in resource-constrained settings.

Main Methods:

  • DBD minimizes discrepancy between sample and population auxiliary distributions.
  • Uses an optimized circular ordering and contiguous block selection.
  • Employs energy distance to minimize distributional differences beyond moments.

Main Results:

  • Proposed DBD method achieves better distributional fit than existing designs.
  • Demonstrates improved spatial spread and lower variance for estimators.
  • Simulation results validate the effectiveness of approximate DBD.

Conclusions:

  • DBD offers a powerful approach for constructing representative samples.
  • Enhances the reliability of estimates from costly field data.
  • Distributional balancing is effective for resource-constrained surveys.