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Related Concept Videos

Testing a Claim about Population Proportion01:24

Testing a Claim about Population Proportion

A complete procedure for testing a claim about a population proportion is provided here.
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
Hardy-Weinberg Principle01:49

Hardy-Weinberg Principle

Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.In the early 20th century,...
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
Binomial Probability Distribution01:15

Binomial Probability Distribution

A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
Probability Laws01:49

Probability Laws

Overview
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...

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Related Experiment Video

Updated: Jun 5, 2026

Combined Immunofluorescence and DNA FISH on 3D-preserved Interphase Nuclei to Study Changes in 3D Nuclear Organization
13:55

Combined Immunofluorescence and DNA FISH on 3D-preserved Interphase Nuclei to Study Changes in 3D Nuclear Organization

Published on: February 3, 2013

Match probabilities in a finite, subdivided population.

Anna-Sapfo Malaspinas1, Montgomery Slatkin, Yun S Song

  • 1Department of Integrative Biology, University of California, Berkeley, CA 94720, USA.

Theoretical Population Biology
|January 27, 2011
PubMed
Summary

Population subdivision can impact genetic match probabilities, potentially underestimating them if ignored. This study explores how subdivision affects match accuracy, finding minor deviations from product rules in finite populations.

Related Experiment Videos

Last Updated: Jun 5, 2026

Combined Immunofluorescence and DNA FISH on 3D-preserved Interphase Nuclei to Study Changes in 3D Nuclear Organization
13:55

Combined Immunofluorescence and DNA FISH on 3D-preserved Interphase Nuclei to Study Changes in 3D Nuclear Organization

Published on: February 3, 2013

Area of Science:

  • Population genetics
  • Forensic genetics
  • Statistical genetics

Background:

  • Calculating genetic match probabilities is crucial in forensic science.
  • Previous work introduced a graphical framework for match probabilities in finite, subdivided populations.
  • The infinite-alleles model is a common assumption, though not always accurate for specific loci like STRs.

Purpose of the Study:

  • To generalize a graphical framework for computing haplotype/genotype match probabilities in finite, subdivided populations.
  • To assess the impact of population subdivision on match probabilities and the accuracy of the product rule.
  • To quantify deviations from product rule predictions using the ratio R.

Main Methods:

  • Generalization of a graphical framework for match probability computation.
  • Focus on a two-subpopulation model, adaptable to general subdivision.
  • Computation for two loci under an infinite-alleles model.
  • Analysis of the ratio R (multi-locus match probability / product of one-locus match probabilities).

Main Results:

  • Ignoring population subdivision can lead to underestimation of match probabilities when individuals are from the same subpopulation.
  • The ratio R for two loci is only slightly greater than 1 across a wide range of migration rates.
  • Population subdivision does not substantially increase linkage disequilibrium between two loci for biologically reasonable parameters.

Conclusions:

  • For two loci, population subdivision may increase identity-by-descent, potentially disadvantaging innocent suspects in forensic contexts.
  • The product rule remains a reasonably accurate approximation for multi-locus match probabilities even with population subdivision.
  • Findings support the established practices in forensic genetics regarding multi-locus match probability calculations.