minerva (version 1.5.10)

mictools: Function that implements the mictools pipeline. In particular it computes the null and observed distribution of the tic_e measure

Description

Function that implements the mictools pipeline. In particular it computes the null and observed distribution of the tic_e measure

Usage

mictools(x, alpha = 9, C = 5, seed = 0, nperm = 2e+05, p.adjust.method = "BH")

Arguments

x

a numeric matrix with N samples on the rows and M variables on the columns (NxM).

alpha

float (0, 1.0] or >=4 if alpha is in (0,1] then B will be max(n^alpha, 4) where n is the number of samples. If alpha is >=4 then alpha defines directly the B parameter. If alpha is higher than the number of samples (n) it will be limited to be n, so B = min(alpha, n) Default value is 0.6 (see Details).

C

a positive integer number, the C parameter of the mine statistic. See mine function for further details.

seed

seed for random number generation reproducibility

nperm

integer, number of permutation to perform

p.adjust.method

method for pvalue adjustment, see p.adjust for available methods.

Value

A list of 5 named elements containing the following information of the computed statistic:

tic

This is a vector with the null distribution of tic_e values based on the permutation.

nulldist

Null distribution of the tic_e measure. It is a data.frame of 4 columns containing the histogram of the distribution of tic_e for each bin delimited by BinStart and BinEnd, the count for each bin NullCount and the cumulative distribution of the right tail area NullCumSum

obstic

data.frame with the observed tic_e values, the indexes of the variables between the tic is computed. If the input matrix has column names then the names are reported in the dataframe, otherwise "Var<i>" is added for each variable.

obsdists

data.frame similar to nulldist but with observed values of tic_e

pval

data.frame with the pvalue computed for each comparison. The adjusted pvalue is also reported based on the method chosen with the parameter p.adjust.method

Details

This is a function to implement the `mictools` pipeline. Differently from the python pipeline available on github we consider a data matrix of NxM with N samples by rows and M variables by columns as standard for R.

References

D. Albanese, S. Riccadonna, C. Donati, P. Franceschi (2018) _A practical tool for Maximal Information Coefficient Analysis_ GigaScience, 7, 4, 10.1093/gigascience/giy032

See Also

p.adjust, hist, mine

Examples

# NOT RUN {
data(Spellman)
Spellman <- as.matrix(Spellman)
spellress <- mictools(Spellman[, 10:20], nperm=1000)

## Use a different pvalue correction method
spellressb <- mictools(Spellman[,10:20], nperm=1000, seed=1234, p.adjust.method="bonferroni")

## Distribution of tic_e null
hist(spellress$tic, breaks=100, main="Tic_e null distribution")
barplot(spellress$nulldist$NullCount)

## Distribution of the observed tic
hist(spellress$obstic$TIC)
barplot(spellress$obsdist$Count)

## Distribution of empirical pvalues
hist(spellress$pval$pval, breaks=50)

# }