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R: passing by parameter to function and using apply instead of nested loop and recursive indexing failed

I have two lists of lists. humanSplit and ratSplit . humanSplit has element of the form::

> humanSplit[1]
$Fetal_Brain_408_AGTCAA_L001_R1_report.txt
   humanGene                            humanReplicate alignment RNAtype
66      DGKI Fetal_Brain_408_AGTCAA_L001_R1_report.txt         6     reg
68   ARFGEF2 Fetal_Brain_408_AGTCAA_L001_R1_report.txt         5     reg

If you type humanSplit[[1]] , it gives the data without name $Fetal_Brain_408_AGTCAA_L001_R1_report.txt

RatSplit is also essentially similar to humanSplit with difference in column order. I want to apply fisher's test to every possible pairing of replicates from humanSplit and ratSplit . Now I defined the following empty vector which I will use to store the informations of my fisher's test

humanReplicate <- vector(mode = 'character', length = 0)
ratReplicate <- vector(mode = 'character', length = 0)
pvalue  <- vector(mode = 'numeric', length = 0)

For fisher's test between two replicates of humanSplit and ratSplit, I define the following function. In the function I use `geneList' which is a data.frame made by reading a file and has form:

> head(geneList)
    human     rat
1 5S_rRNA 5S_rRNA
2 5S_rRNA 5S_rRNA

Now here is the main function, where I use a function getGenetype which I already defined in other part of the code. Also x and y are integers :

fishertest <-function(x,y) {
  ratReplicateName <- names(ratSplit[x])
  humanReplicateName <- names(humanSplit[y])

  ## merging above two based on the one-to-one gene mapping as in geneList
  ## defined above.
  mergedHumanData <-merge(geneList,humanSplit[[y]], by.x = "human", by.y = "humanGene")
  mergedRatData <- merge(geneList, ratSplit[[x]], by.x = "rat", by.y = "ratGene")

  ## [here i do other manipulation with using already defined function
  ## getGenetype that is defined outside of this function and make things
  ## necessary to define following contingency table]

  contingencyTable <- matrix(c(HnRn,HnRy,HyRn,HyRy), nrow = 2)
  fisherTest <- fisher.test(contingencyTable)
  humanReplicate <- c(humanReplicate,humanReplicateName )
  ratReplicate <- c(ratReplicate,ratReplicateName )
  pvalue <- c(pvalue , fisherTest$p)

}

After doing all this I do the make matrix eg to use in apply . Here I am basically trying to do something similar to double for loop and then using fisher

eg <- expand.grid(i = 1:length(ratSplit),j = 1:length(humanSplit))
junk = apply(eg, 1, fishertest(eg$i,eg$j))

Now the problem is, when I try to run, it gives the following error when it tries to use function fishertest in apply

Error in humanSplit[[y]] : recursive indexing failed at level 3

Rstudio points out problem in following line:

mergedHumanData <-merge(geneList,humanSplit[[y]], by.x = "human", by.y = "humanGene")

Ultimately, I want to do the following:

result <- data.frame(humanReplicate,ratReplicate, pvalue ,alternative, Conf.int1, Conf.int2, oddratio)

I am struggling with these questions:

In defining fishertest function, how should I pass ratSplit and humanSplit and already defined function getGenetype ?

And how I should use apply here?

Any help would be much appreciated.

Up front: read ?apply . Additionally, the first three hits on google when searching for "R apply tutorial" are helpful snippets: one , two , and three .

Errors in fishertest()

The error message itself has nothing to do with apply . The reason it got as far as it did is because the arguments you provided actually resolved. Try to do eg$i by itself, and you'll see that it is returning a vector: the corresponding column in the eg data.frame. You are passing this vector as an index in the i argument. The primary reason your function erred out is because double-bracket indexing ( [[ ) only works with singles, not vectors of length greater than 1. This is a great example of where production/deployed functions would need type-checking to ensure that each argument is a numeric of length 1; often not required for quick code but would have caught this mistake. Had it not been for the [[ limit, your function may have returned incorrect results. (I've been bitten by that many times!)

BTW: your code is also incorrect in its scoped access to pvalue , et al. If you make your function return just the numbers you need and the aggregate it outside of the function, your life will simplify. ( pvalue <- c(pvalue, ...) will find pvalue assigned outside the function but will not update it as you want. You are defeating one purpose of writing this into a function. When thinking about writing this function, try to answer only this question: "how do I compare a single rat record with a single human record?" Only after that works correctly and simply without having to overwrite variables in the parent environment should you try to answer the question "how do I apply this function to all pairs and aggregate it?" Try very hard to have your function not change anything outside of its own environment.

Errors in apply()

Had your function worked properly despite these errors, you would have received the following error from apply :

apply(eg, 1, fishertest(eg$i, eg$j))
## Error in match.fun(FUN) : 
##  'fishertest(eg$i, eg$j)' is not a function, character or symbol

When you call apply in this sense, it it parsing the third argument and, in this example, evaluates it. Since it is simply a call to fishertest(eg$i, eg$j) which is intended to return a data.frame row (inferred from your previous question ), it resolves to such, and apply then sees something akin to:

apply(eg, 1, data.frame(...))

Now that you see that apply is being handed a data.frame and not a function.

The third argument (FUN) needs to be a function itself that takes as its first argument a vector containing the elements of the row (1) or column (2) of the matrix/data.frame. As an example, consider the following contrived example:

eg <- data.frame(aa = 1:5, bb = 11:15)
apply(eg, 1, mean)
## [1]  6  7  8  9 10
# similar to your use, will not work; this error comes from mean not getting
# any arguments, your error above is because
apply(eg, 1, mean())
## Error in mean.default() : argument "x" is missing, with no default

Realize that mean is a function itself, not the return value from a function (there is more to it, but this definition works). Because we're iterating over the rows of eg (because of the 1), the first iteration takes the first row and calls mean(c(1, 11)) , which returns 6. The equivalent of your code here is mean()(c(1, 11)) will fail for a couple of reasons: (1) because mean requires an argument and is not getting, and (2) regardless, it does not return a function itself (in a "functional programming" paradigm, easy in R but uncommon for most programmers).

In the example here, mean will accept a single argument which is typically a vector of numerics. In your case, your function fishertest requires two arguments (templated by my previous answer to your question ), which does not work. You have two options here:

  1. Change your fishertest function to accept a single vector as an argument and parse the index numbers from it. Bothing of the following options do this:

     fishertest <- function(v) { x <- v[1] y <- v[2] ratReplicateName <- names(ratSplit[x]) ## ... } 

    or

     fishertest <- function(x, y) { if (missing(y)) { y <- x[2] x <- x[1] } ratReplicateName <- names(ratSplit[x]) ## ... } 

    The second version allows you to continue using the manual form of fishertest(1, 57) while also allowing you to do apply(eg, 1, fishertest) verbatim. Very readable, IMHO. (Better error checking and reporting can be used here, I'm just providing a MWE.)

  2. Write an anonymous function to take the vector and split it up appropriately. This anonymous function could look something like function(ii) fishertest(ii[1], ii[2]) . This is typically how it is done for functions that either do not transform as easily as in #1 above, or for functions you cannot or do not want to modify. You can either assign this intermediary function to a variable (which makes it no longer anonymous, figure that) and pass that intermediary to apply , or just pass it directly to apply , ala:

     .func <- function(ii) fishertest(ii[1], ii[2]) apply(eg, 1, .func) ## equivalently apply(eg, 1, function(ii) fishertest(ii[1], ii[2])) 

    There are two reasons why many people opt to name the function: (1) if the function is used multiple times, better to define once and reuse; (2) it makes the apply line easier to read than if it contained a complex multi-line function definition.

As a side note, there are some gotchas with using apply and family that, if you don't understand, will be confusing. Not the least of which is that when your function returns vectors, the matrix returned from apply will need to be transposed (with t() ), after which you'll still need to rbind or otherwise aggregrate.

This is one area where using ddply may provide a more readable solution. There are several tutorials showing it off. For a quick intro, read this ; for a more in depth discussion on the bigger picture in which ddply plays a part, read Hadley's Split, Apply, Combine Strategy for Data Analysis paper from JSS.

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