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Related Concept Videos

Active Filters01:25

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
Filtration00:53

Filtration

Filtration is a physical separation process that involves passing a suspension through a porous medium to separate solids from fluids. During filtration, solids collect on the porous medium while liquids, also collectively known as the filtrate, pass through. The filtration medium is selected based on the filtration purpose, quantity, and nature of the precipitate. The general criteria for a suitable filtering medium are that it is inert, mechanically strong, nonabsorbent toward dissolved...
Passive Filters01:27

Passive Filters

Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff frequency...
Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...

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A Simple Technique to Assay Locomotor Activity in Drosophila
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Filtering, FDR and power.

Maarten van Iterson1, Judith M Boer, Renée X Menezes

  • 1Department of Epidemiology and Biostatistics, VU University Medical Center, Amsterdam, 1007 MB, The Netherlands.

BMC Bioinformatics
|September 9, 2010
PubMed
Summary
This summary is machine-generated.

Filtering high-dimensional data can bias multiple testing correction. A new statistical test helps researchers choose filters carefully to avoid bias and improve differential gene expression analysis power.

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Area of Science:

  • Bioinformatics
  • Statistical genomics
  • High-dimensional data analysis

Background:

  • Filtering methods like fold-change or variance filters are commonly used in high-dimensional data analysis, such as differential gene expression analysis.
  • These filters aim to reduce the multiple testing penalty and enhance statistical power.
  • However, filtering can introduce bias into the multiple testing correction, affecting results.

Purpose of the Study:

  • To investigate the impact of filtering on multiple testing correction bias in high-dimensional data analysis.
  • To develop a method for assessing and mitigating bias introduced by filtering techniques.

Main Methods:

  • Utilized simulation studies and an experimental dataset to evaluate the bias in false discovery rate (FDR) estimation.
  • Analyzed the probability of filtering non-differentially expressed probes across the p-value range.
  • Proposed a statistical test to detect FDR bias introduced by specific filters.

Main Results:

  • A biased multiple testing correction occurs when non-differentially expressed probes are not filtered uniformly across all p-values.
  • Filters associated with the tested hypothesis, such as fold-change, significantly bias the FDR.
  • Filters with minimal FDR bias offer limited additional power for detecting differentially expressed genes.

Conclusions:

  • Filtering in high-dimensional data analysis requires careful consideration due to potential bias in multiple testing correction.
  • A proposed statistical test can guide researchers in selecting appropriate filters and filtering levels to minimize FDR bias.
  • This approach aids in more reliable differential gene expression analysis.