| title | author | date | contact |
|---|---|---|---|
MAnorm2 1.0.0 |
Shiqi Tu |
2019-12-01 |
tushiqi@picb.ac.cn |
MAnorm2 is designed for quantitatively comparing
ChIP-seq signals between
individual samples or groups of samples. For a quick installation of MAnorm2,
select a version from under the dist folder in the
home page of MAnorm2
(we recommend using always the latest version), download the corresponding
package and type the following code in an R session:
install.packages("/path/to/the/package", repos = NULL)Sections below give a brief description of the application scope of MAnorm2 as well as its capability. For a full documentation of MAnorm2, download the HTML version of its vignette from here and use a browser to open it, or type the following code in an R session after installing MAnorm2:
browseVignettes("MAnorm2")For employing the machinery implemented in MAnorm2, you need to prepare a table that profiles the ChIP-seq signal in each of a list of genomic intervals for each of a set of ChIP-seq samples. The following table provides such an instance:
| chrom | start | end | s1.read_cnt | s2.read_cnt | s1.occupancy | s2.occupancy |
|---|---|---|---|---|---|---|
| chr1 | 28112 | 29788 | 115 | 4 | 1 | 0 |
| chr1 | 164156 | 166417 | 233 | 194 | 1 | 1 |
| chr1 | 166417 | 168417 | 465 | 577 | 1 | 1 |
| chr1 | 168417 | 169906 | 15 | 34 | 0 | 1 |
(See the H3K27Ac dataset bundled with MAnorm2 for another example, and type
library(MAnorm2); ?H3K27Ac in an R session for a detailed description of it.)
To be specific, each row of the table represents a genomic interval; each of
the read_cnt variables corresponds to a ChIP-seq sample and gives the numbers
of reads from the sample that fall within the genomic intervals (i.e., the raw
read counts); the occupancy variables correspond to the read_cnt
variables one by one and specify the occupancy status of each genomic interval
in each sample. Note that an occupancy status of 1 indicates the interval
is enriched with reads in the sample (compared with, for example,
the surrounding genomic regions or the corresponding input sample). In
practice, the occupancy status of a genomic interval in a certain ChIP-seq
sample could be determined by its overlap with the
peaks
of the sample. Note also that MAnorm2 refers to an interval as occupied by a
sample if the interval is enriched with reads in the sample.
MAnorm2_utils is specifically designed to coordinate with MAnorm2, and we strongly recommend using it to create input tables of MAnorm2.
Although MAnorm2 has been designed to process ChIP-seq data, it could be applied in principle to the analysis of any type of data with a similar structure, including DNase-seq, ATAC-seq and RNA-seq data. The only problem associated with such extensions is how to naturally define "peaks" for specific data types.
Most of the peak callers originally devised for ChIP-seq data (e.g., MACS 1.4) also works for DNase-seq and ATAC-seq data. For RNA-seq data, each row of the input table should stand for a gene, and we recommend setting a cutoff (e.g., 20) of raw read count to define "peak" genes.
In spite of the discrete nature of read counts, MAnorm2 uses continuous distribution to model ChIP-seq data by first transforming raw read counts into raw signal intensities. By default, MAnorm2 completes the transformation by simply adding an offset count to each raw count and taking a base-2 logarithm. Practical ChIP-seq data sets, however, may be associated with various confounding factors, including batch effects, local sequence compositions and background signals measured by input samples. On this account, functions in MAnorm2 have been designed to be independent of the specific transformation employed. And any methods for correcting for confounding factors could be applied before invoking MAnorm2, as long as the resulting signal intensities could be approximately modeled as following the normal distribution (in particular, consider carefully whether it is necessary to apply a logarithmic transformation in the final step).
The primary reason for which MAnorm2 models ChIP-seq signals as continuous random variables is that the mathematical theory of count distributions is far less tractable than that of the normal distribution. For example, current statistical methods based on the negative binomial distribution are frequently relied on approximations of various kinds. Specifically, variance (or dispersion) estimates for individual genomic intervals are typically treated as known parameters, and their uncertainty can hardly be incorporated into the statistical tests for identifying differential signals.
Besides, after an extensive correction for confounding factors, the resulting data range is almost certainly not limited to non-negative integers, and the data may have lost their discrete nature and be more akin to a continuous distribution. Moreover, transforming read counts towards the normal distribution unlocks the application of a large repository of mature statistical methods that are initially developed for analyzing continuous measurements (e.g., intensity data from microarray experiments). Refer to the voom article for a detailed discussion of this topic.
MAnorm2 implements a robust method for normalizing raw signal intensities across any number of ChIP-seq samples.
Technically, it considers the common peak regions of two ChIP-seq samples (i.e., the genomic intervals occupied by both samples; see also the section of Format of Input Data) to have globally invariant signals between them. Based on this assumption, MAnorm2 applies a linear transformation to the raw signal intensities of one of the two samples such that
- the resulting M values (differences in signal intensities between the two samples) of the common peak regions have an arithmetic mean of 0;
- sample Pearson correlation coefficient between M value and A value (average signal intensity across the two samples) across the common peak regions is 0.
This procedure is for normalizing a pair of ChIP-seq samples. It can be extended to normalization of any number of samples so that the normalized signal intensities are comparable across all of them. For more information regarding the normalization method implemented in MAnorm2, type the following code in an R session after installing it:
library(MAnorm2)
?normalize
?normBioCondMAnorm2 designs a self-contained system of utility functions for calling
differential ChIP-seq signals between two biological conditions, each with or
without replicate samples. It also devises an ANOVA-like method for
simultaneously comparing multiple biological conditions. To be
noted, this system in MAnorm2 for differential analysis requires the input
signal intensities to be normalized but is independent of the specific
normalization procedure. This means that any normalization and/or bias
correction tools could be adapted to the differential analysis system of
MAnorm2, as long as the resulting signal measurements are suited to be
modeled by the normal distribution. For example, for highly regular samples,
you might want to perform the normalization based on their size factors
(refer to the normalizeBySizeFactors function in MAnorm2 for details).
Technically, MAnorm2 has implemented an S3 class named "bioCond" for grouping ChIP-seq samples belonging to the same biological condition, and it has devised a number of functions for handling objects of the class. Taking advantage of these functions, you can
- call genomic intervals with differential ChIP-seq signals between two or more bioConds;
- call genomic intervals with hypervariable ChIP-seq signals across multiple samples or bioConds;
- perform hierarchical clustering on a set of ChIP-seq samples or bioConds by measuring the distance (i.e., dissimilarity) between each pair of them.
Note that, for the samples grouped into a bioCond, MAnorm2 models the relationship between observed mean signal intensities of individual intervals and the associated (observed) variances. In practice, this modeling strategy could compensate for the lack of sufficient replicates for deriving accurate variance estimates for individual genomic intervals. And each of the above analyses takes advantage of the modeling of mean-variance trend to improve variance estimation.
For an overview of the interface functions provided by MAnorm2, type the following code in an R session after installing it:
library(MAnorm2)
package?MAnorm2To cite MAnorm2 in publications, please use
Tu, S., et al., MAnorm2 for quantitatively comparing groups of ChIP-seq samples. bioRxiv, 2020: p. 2020.01.07.896894. https://doi.org/10.1101/2020.01.07.896894.