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Related Concept Videos

Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the Guinness...
Estimating Population Standard Deviation01:26

Estimating Population Standard Deviation

When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of σ. However, it can sometimes under or overestimate the population standard deviation. To overcome this drawback, confidence intervals are determined to estimate population parameters and eliminate any calculation bias accurately. However, this only applies to random samples from normally distributed populations. Knowing the sample mean and...
Estimating Population Mean with Known Standard Deviation01:16

Estimating Population Mean with Known Standard Deviation

To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate + error bound)
The...
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
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Direct methods for measuring microbial populations in a culture are essential tools in microbiology, providing quantitative data for various applications. Among these, microscopic counts, plate counts, and serial dilution are widely used techniques, each with unique principles and applications.Microscopic CountsMicroscopic counting involves the use of a Petroff-Hausser chamber, a specialized microscope slide with a grid and defined depth. By observing a liquid culture under a microscope,...
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Fast Colony Forming Unit Counting in 96-Well Plate Format Applied to the Drosophila Microbiome
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Estimating population diversity with unreliable low frequency counts.

John Bunge1, Dankmar Böhning, Heather Allen

  • 1Department of Statistical Science, Cornell University, Ithaca, NY 14853, USA. jab18@cornell.edu

Pacific Symposium on Biocomputing. Pacific Symposium on Biocomputing
|December 17, 2011
PubMed
Summary

Estimating population diversity from frequency counts is challenging when low-frequency taxa, like singletons, are unreliable due to sequencing errors. Statistical methods can correct for this, but their effectiveness depends on underlying assumptions.

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Area of Science:

  • Ecology
  • Bioinformatics
  • Statistics

Background:

  • Population diversity estimation relies on frequency count data.
  • High-throughput DNA sequencing introduces errors, affecting low-frequency taxa counts (e.g., singletons).
  • These errors can lead to underestimation of true population diversity.

Purpose of the Study:

  • To evaluate statistical methods for correcting unreliable low-frequency counts in population diversity estimation.
  • To assess the impact of sequencing errors on diversity metrics.
  • To compare different data correction approaches.

Main Methods:

  • Examining methods for handling unreliable low-frequency counts, particularly singletons.
  • Applying parametric mixture models with component deletion.
  • Considering data as left-censored.
  • Pooling low-frequency counts.

Main Results:

  • Statistical correction methods are sensitive to their underlying assumptions.
  • The choice of method significantly influences diversity estimates.
  • Despite limitations, these downstream corrections can be valuable.

Conclusions:

  • Addressing unreliable low-frequency counts is crucial for accurate population diversity estimation.
  • Parametric models and data censoring offer potential solutions.
  • Careful consideration of assumptions is necessary when applying these statistical corrections.