1 Play with some T. cruzi infected human samples.

First things first, get some human annotation data. My hpgltools package has a function for doing just that from ensembl.

## The biomart annotations file already exists, loading from it.
##            Length Class      Mode     
## annotation 12     data.frame list     
## mart        1     -none-     character
## host        1     -none-     character
## mart_name   1     -none-     character
## rows        1     -none-     character
## dataset     1     -none-     character

The result of load_biomart_annotations() is a list with 7 elements. The first one is probably the only one of significant interest. The rest are useful if you want to load other data or figure out what happened if biomart is not responding as you expect it to.

##                 ensembl_transcript_id ensembl_gene_id version
## ENST00000000233       ENST00000000233 ENSG00000004059      11
## ENST00000000412       ENST00000000412 ENSG00000003056       8
## ENST00000000442       ENST00000000442 ENSG00000173153      15
## ENST00000001008       ENST00000001008 ENSG00000004478       8
## ENST00000001146       ENST00000001146 ENSG00000003137       8
## ENST00000002125       ENST00000002125 ENSG00000003509      16
##                 transcript_version hgnc_symbol
## ENST00000000233                 10        ARF5
## ENST00000000412                  8        M6PR
## ENST00000000442                 11       ESRRA
## ENST00000001008                  6       FKBP4
## ENST00000001146                  6     CYP26B1
## ENST00000002125                  9     NDUFAF7
##                                                                                                  description
## ENST00000000233                                  ADP ribosylation factor 5 [Source:HGNC Symbol;Acc:HGNC:658]
## ENST00000000412            mannose-6-phosphate receptor, cation dependent [Source:HGNC Symbol;Acc:HGNC:6752]
## ENST00000000442                           estrogen related receptor alpha [Source:HGNC Symbol;Acc:HGNC:3471]
## ENST00000001008                                   FKBP prolyl isomerase 4 [Source:HGNC Symbol;Acc:HGNC:3720]
## ENST00000001146           cytochrome P450 family 26 subfamily B member 1 [Source:HGNC Symbol;Acc:HGNC:20581]
## ENST00000002125 NADH:ubiquinone oxidoreductase complex assembly factor 7 [Source:HGNC Symbol;Acc:HGNC:28816]
##                   gene_biotype cds_length chromosome_name strand start_position
## ENST00000000233 protein_coding        543               7      +      127588386
## ENST00000000412 protein_coding        834              12      -        8940361
## ENST00000000442 protein_coding       1272              11      +       64305497
## ENST00000001008 protein_coding       1380              12      +        2794970
## ENST00000001146 protein_coding       1539               2      -       72129238
## ENST00000002125 protein_coding       1326               2      +       37231631
##                 end_position
## ENST00000000233    127591700
## ENST00000000412      8949761
## ENST00000000442     64316743
## ENST00000001008      2805423
## ENST00000001146     72148038
## ENST00000002125     37253403

Here are the first 6 rows of the human annotation data. The row names all start with ENST, so they are keyed off the transcript ID. This is sort of a problem, as we really want to use the gene IDs (the second column, ensembl_gene_id).

2 Making an expressionset

All the likely tasks we will want to do with the RNASeq data are performed via a data type called the expressionSet. There are a few things which are slightly annoying about them to me, and creating them is a bit more difficult to get correct than I would like; so I wrote a function to hopefully make it easier.

## Reading the sample metadata.
## The sample definitions comprises: 10 rows(samples) and 9 columns(metadata fields).
## Reading count tables.
## Reading count files with read.table().
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0475/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0482/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0476/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0480/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0484/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0473/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0107/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0109/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0122/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## /mnt/sshfs/cbcbsub/fs/cbcb-lab/nelsayed/scratch/atb/rnaseq/tcruzi_fernanda_learning_2020/preprocessing/hpgl0124/outputs/tophat_hsapiens/accepted_paired.count.xz contains 51046 rows and merges to 51046 rows.
## Finished reading count data.
## Matched 43573 annotations and counts.
## Bringing together the count matrix and gene information.
## Some annotations were lost in merging, setting them to 'undefined'.
## Saving the expressionset to 'expt.rda'.
## The final expressionset has 51041 rows and 10 columns.

I like to think of an exressionSet as a 3 dimensional cube-like object.

Unlike a real cube with 6 sides, this one only has 3:

  1. exprs: rows are gene IDs and columns are sample IDs. Each cell of the data is the count data for one sample/gene.
  2. pData: rows are sample IDs and columns are arbitrary experiment metadata.
  3. fData: rows are gene IDs and columns are arbitrary gene annotation data.
##                 HPGL0475 HPGL0482 HPGL0476 HPGL0480 HPGL0484 HPGL0473 HPGL0107
## ENSG00000000003      951      871     1005      501      539      607      875
## ENSG00000000005        3        1        1        3        6        7        0
## ENSG00000000419     1304     1097     1061     1004      953     1059     1066
## ENSG00000000457      447      358      394      315      336      390      345
## ENSG00000000460      234      209      203      153      149      163      112
## ENSG00000000938       39       25       18       52       58       63        3
##                 HPGL0109 HPGL0122 HPGL0124
## ENSG00000000003      790     1007      762
## ENSG00000000005        0        0        0
## ENSG00000000419      981      901      958
## ENSG00000000457      287      338      295
## ENSG00000000460      123      130       87
## ENSG00000000938        2        7        0
##          sampleid type stage replicate batch condition originalcond
## HPGL0475 HPGL0475 CLBr   A60         1     a  CLBr.A60     clbr_a60
## HPGL0482 HPGL0482 CLBr   A60         2     a  CLBr.A60     clbr_a60
## HPGL0476 HPGL0476 CLBr   A60         3     a  CLBr.A60     clbr_a60
## HPGL0480 HPGL0480 CLBr   A96         1     b  CLBr.A96     clbr_a96
## HPGL0484 HPGL0484 CLBr   A96         2     b  CLBr.A96     clbr_a96
## HPGL0473 HPGL0473 CLBr   A96         3     b  CLBr.A96     clbr_a96
##                                                                        humanfile
## HPGL0475 preprocessing/hpgl0475/outputs/tophat_hsapiens/accepted_paired.count.xz
## HPGL0482 preprocessing/hpgl0482/outputs/tophat_hsapiens/accepted_paired.count.xz
## HPGL0476 preprocessing/hpgl0476/outputs/tophat_hsapiens/accepted_paired.count.xz
## HPGL0480 preprocessing/hpgl0480/outputs/tophat_hsapiens/accepted_paired.count.xz
## HPGL0484 preprocessing/hpgl0484/outputs/tophat_hsapiens/accepted_paired.count.xz
## HPGL0473 preprocessing/hpgl0473/outputs/tophat_hsapiens/accepted_paired.count.xz
##                                                                                             file
## HPGL0475 preprocessing/parasite/clbr/hpgl0475/outputs/tophat_tcruzi_all/accepted_paired.count.xz
## HPGL0482 preprocessing/parasite/clbr/hpgl0482/outputs/tophat_tcruzi_all/accepted_paired.count.xz
## HPGL0476 preprocessing/parasite/clbr/hpgl0476/outputs/tophat_tcruzi_all/accepted_paired.count.xz
## HPGL0480 preprocessing/parasite/clbr/hpgl0480/outputs/tophat_tcruzi_all/accepted_paired.count.xz
## HPGL0484 preprocessing/parasite/clbr/hpgl0484/outputs/tophat_tcruzi_all/accepted_paired.count.xz
## HPGL0473 preprocessing/parasite/clbr/hpgl0473/outputs/tophat_tcruzi_all/accepted_paired.count.xz
##                 ensembl_transcript_id ensembl_gene_id version
## ENSG00000000003       ENST00000373020 ENSG00000000003      15
## ENSG00000000005       ENST00000373031 ENSG00000000005       6
## ENSG00000000419       ENST00000371582 ENSG00000000419      12
## ENSG00000000457       ENST00000367770 ENSG00000000457      14
## ENSG00000000460       ENST00000286031 ENSG00000000460      17
## ENSG00000000938       ENST00000374003 ENSG00000000938      13
##                 transcript_version hgnc_symbol
## ENSG00000000003                  9      TSPAN6
## ENSG00000000005                  5        TNMD
## ENSG00000000419                  8        DPM1
## ENSG00000000457                  5       SCYL3
## ENSG00000000460                 10    C1orf112
## ENSG00000000938                  7         FGR
##                                                                                                    description
## ENSG00000000003                                              tetraspanin 6 [Source:HGNC Symbol;Acc:HGNC:11858]
## ENSG00000000005                                                tenomodulin [Source:HGNC Symbol;Acc:HGNC:17757]
## ENSG00000000419 dolichyl-phosphate mannosyltransferase subunit 1, catalytic [Source:HGNC Symbol;Acc:HGNC:3005]
## ENSG00000000457                                   SCY1 like pseudokinase 3 [Source:HGNC Symbol;Acc:HGNC:19285]
## ENSG00000000460                        chromosome 1 open reading frame 112 [Source:HGNC Symbol;Acc:HGNC:25565]
## ENSG00000000938              FGR proto-oncogene, Src family tyrosine kinase [Source:HGNC Symbol;Acc:HGNC:3697]
##                   gene_biotype cds_length chromosome_name strand start_position
## ENSG00000000003 protein_coding        738               X      -      100627108
## ENSG00000000005 protein_coding        954               X      +      100584936
## ENSG00000000419 protein_coding        864              20      -       50934867
## ENSG00000000457 protein_coding       2229               1      -      169849631
## ENSG00000000460 protein_coding       2562               1      +      169662007
## ENSG00000000938 protein_coding       1590               1      -       27612064
##                 end_position
## ENSG00000000003    100639991
## ENSG00000000005    100599885
## ENSG00000000419     50958555
## ENSG00000000457    169894267
## ENSG00000000460    169854080
## ENSG00000000938     27635185

All the following analyses will use this as the starting point.

Here is a fun little thing we can do with this:

One of the columns in the annotation data is transcript length. Keep in mind that we are working at the level of genes, so each gene in the expressionset is using the annotation data from the first transcript; this does not generally matter, but we should remember it in case we decide to do something where it does matter…

## Warning: NAs introduced by coercion
## Warning: Removed 32464 rows containing non-finite values (stat_bin).
## Warning: Removed 32464 rows containing non-finite values (stat_density).
## Warning: Removed 2 rows containing missing values (geom_bar).

The distribution of transcript lengths in the human genome for the set of transcripts <= 10,000 nucleotides in length.

3 Plot raw data

There are a few analyses which are nice to look at with relatively raw data.

3.1 Counts per sample

I have a function named plot_libsize() which just provides how many counts were found for each sample in the data. This is useful because if one or more samples have waaaay fewer counts than the others, that will cause weird artifacts in the final result.

##         Length Class      Mode
## plot    9      gg         list
## table   4      data.table list
## summary 7      data.table list

As you see, the result of plot_libsize() is a list with 3 elements. A plot, table, and summary.

##           id      sum  condition  colors
##  1: HPGL0475 39546773   CLBr.A60 #1B9E77
##  2: HPGL0482 30578474   CLBr.A60 #1B9E77
##  3: HPGL0476 33793748   CLBr.A60 #1B9E77
##  4: HPGL0480 23668540   CLBr.A96 #D95F02
##  5: HPGL0484 26022709   CLBr.A96 #D95F02
##  6: HPGL0473 29556535   CLBr.A96 #D95F02
##  7: HPGL0107 29918273 Uninfected #7570B3
##  8: HPGL0109 26274984 Uninfected #7570B3
##  9: HPGL0122 25498955 Uninfected #7570B3
## 10: HPGL0124 25778002 Uninfected #7570B3
##     condition      min      1st   median     mean      3rd      max
## 1:   CLBr.A60 30578474 32186111 33793748 34639665 36670260 39546773
## 2:   CLBr.A96 23668540 24845624 26022709 26415928 27789622 29556535
## 3: Uninfected 25498955 25708240 26026493 26867554 27185806 29918273

We can see that the samples are reasonably similar in terms of number of counts, so that is good.

What about the overall distribution of counts per sample?

## This data will benefit from being displayed on the log scale.
## If this is not desired, set scale='raw'
## Some entries are 0.  We are on log scale, setting them to 0.5.
## Changed 195051 zero count features.
##                   Length Class      Mode
## plot              10     gg         list
## condition_summary  7     data.table list
## batch_summary      7     data.table list
## sample_summary     7     data.table list
## table              5     data.table list

I suspect you are seeing a trend. Most of the things I wrote return lists. Things I wrote which create plots usually have an element in that list named plot…

##     condition min 1st median  mean 3rd    max
## 1:   CLBr.A60 0.5 0.5    3.0 678.8  68 789636
## 2:   CLBr.A96 0.5 1.0    5.0 517.7  65 322268
## 3: Uninfected 0.5 0.5    0.5 526.7  38 755811

We can see at a glance that the distribution of counts for the infected and uninfected samples are very different. I am thinking that should not be a big surprise.

How do the raw data compare against each other? We can use correlation/distance heatmaps to query that, however we should keep in mind that the results can be misleading if the data has not been normalized (which it has not).

Like I said this is probably not very meaningful, but it would appear at first glance that the 60 hour and uninfected samples are much more similar to each other than either is to the 96 hour.

Lets normalize the data.

## This function will replace the expt$expressionset slot with:
## log2(cpm(quant(cbcb(data))))
## It will save copies of each step along the way
##  in expt$normalized with the corresponding libsizes. Keep libsizes in mind
##  when invoking limma.  The appropriate libsize is non-log(cpm(normalized)).
##  This is most likely kept at:
##  'new_expt$normalized$intermediate_counts$normalization$libsizes'
##  A copy of this may also be found at:
##  new_expt$best_libsize
## Not correcting the count-data for batch effects.  If batch is
##  included in EdgerR/limma's model, then this is probably wise; but in extreme
##  batch effects this is a good parameter to play with.
## Step 1: performing count filter with option: cbcb
## Removing 37199 low-count genes (13842 remaining).
## Step 2: normalizing the data with quant.
## Step 3: converting the data with cpm.
## Step 4: transforming the data with log2.
## Step 5: not doing batch correction.

The above low-count filters the data (filter=TRUE), log2 transforms it, does a counts-per-million conversion, and quantile normalizes the data.

Now let us replot the data with the normalization. Note that I have a shortcut function: graph_metrics() which does every plot, some of the plots take a long time and so are not generated by default.

## Graphing number of non-zero genes with respect to CPM by library.
## Graphing library sizes.
## Graphing a boxplot.
## Graphing a correlation heatmap.
## Graphing a standard median correlation.
## Performing correlation.
## Graphing a distance heatmap.
## Graphing a standard median distance.
## Performing distance.
## Graphing a PCA plot.
## Graphing a T-SNE plot.
## Plotting a density plot.
## Plotting a CV plot.
## Naively calculating coefficient of variation/dispersion with respect to condition.
## Finished calculating dispersion estimates.
## Plotting the representation of the top-n genes.
## Plotting the expression of the top-n PC loaded genes.
## Printing a color to condition legend.
##                 Length Class        Mode   
## boxplot          9     gg           list   
## corheat          3     recordedplot list   
## cvplot           9     gg           list   
## density         10     gg           list   
## density_table    5     data.table   list   
## disheat          3     recordedplot list   
## gene_heatmap     0     -none-       NULL   
## legend           3     recordedplot list   
## legend_colors    3     data.frame   list   
## libsize          9     gg           list   
## libsizes         4     data.table   list   
## libsize_summary  7     data.table   list   
## ma               0     -none-       NULL   
## nonzero          9     gg           list   
## nonzero_table    7     data.frame   list   
## pc_loadplot      3     recordedplot list   
## pc_summary       4     data.frame   list   
## pc_propvar       9     -none-       numeric
## pc_plot          9     gg           list   
## pc_table        17     data.frame   list   
## qqlog            0     -none-       NULL   
## qqrat            0     -none-       NULL   
## smc              9     gg           list   
## smd              9     gg           list   
## topnplot         9     gg           list   
## tsne_summary     4     data.frame   list   
## tsne_propvar    20     -none-       numeric
## tsne_plot        9     gg           list   
## tsne_table      10     data.frame   list

4 Attempt a surrogate variable analysis

Lets see if anything changes if we apply sva to the data. Because we removed much of the data from the original experiment, we probably cannot viably add batch to the model in the data, it might work but I am thinking it will give faulty results.

It is worth noting that over time, an increasingly large family of surrogate variable analyses have been created. I have wrappers for a few of them, but I mostly just stick with the default sva.

## This function will replace the expt$expressionset slot with:
## log2(svaseq(cpm(cbcb(data))))
## It will save copies of each step along the way
##  in expt$normalized with the corresponding libsizes. Keep libsizes in mind
##  when invoking limma.  The appropriate libsize is non-log(cpm(normalized)).
##  This is most likely kept at:
##  'new_expt$normalized$intermediate_counts$normalization$libsizes'
##  A copy of this may also be found at:
##  new_expt$best_libsize
## Leaving the data unnormalized.  This is necessary for DESeq, but
##  EdgeR/limma might benefit from normalization.  Good choices include quantile,
##  size-factor, tmm, etc.
## Step 1: performing count filter with option: cbcb
## Removing 37199 low-count genes (13842 remaining).
## Step 2: not normalizing the data.
## Step 3: converting the data with cpm.
## Step 4: transforming the data with log2.
## transform_counts: Found 813 values equal to 0, adding 1 to the matrix.
## Step 5: doing batch correction with svaseq.
## Note to self:  If you get an error like 'x contains missing values' The data has too many 0's and needs a stronger low-count filter applied.
## Passing off to all_adjusters.
## batch_counts: Before batch/surrogate estimation, 133006 entries are x>1: 96%.
## batch_counts: Before batch/surrogate estimation, 813 entries are x==0: 1%.
## batch_counts: Before batch/surrogate estimation, 4601 entries are 0<x<1: 3%.
## The be method chose 2 surrogate variable(s).
## Attempting svaseq estimation with 2 surrogates.
## There are 577 (0%) elements which are < 0 after batch correction.
## Setting low elements to zero.

5 Perform a differential expression analysis.

We will do three versions of this, one with only condition in the model, one with condition and batch, and one using sva.

My function all_pairwise() does the following:

  1. Tries to ensure that the data is valid for the various tools I want to use. It should yell at you if it is not and depending on what information it has, fix it.
  2. Pass the data to limma, deseq2, edger, ebseq, and a basic analysis I wrote.
  3. Collect the results into a list.
  4. Give you the list.

Thus, if you wish to learn how to invoke limma and friends, you may wish instead to look up the functions: limma_pairwise(), deseq_pairwise(), edger_pairwise(), ebseq_pairwise(), and basic_pairwise() in order to see the things I do to run them. Hopefully, you will find that I pretty carefully followed the suggestions from the authors of each tool.

The _pairwise() family of functions has a lot of options, I will only be using ‘model_batch’ to change one of them.

## Plotting a PCA before surrogates/batch inclusion.
## Not putting labels on the plot.
## Assuming no batch in model for testing pca.
## Not putting labels on the plot.
## Finished running DE analyses, collecting outputs.
## Comparing analyses.

##                  Length Class        Mode     
## basic            10     basic_result list     
## deseq            16     deseq_result list     
## ebseq             5     ebseq_result list     
## edger            16     edger_result list     
## limma            22     limma_result list     
## batch_type        1     -none-       character
## comparison       22     -none-       list     
## extra_contrasts   0     -none-       NULL     
## input            16     expt         list     
## model_cond        1     -none-       logical  
## model_batch       1     -none-       logical  
## original_pvalues  0     -none-       NULL     
## pre_batch         5     -none-       list     
## post_batch        5     -none-       list
## Plotting a PCA before surrogates/batch inclusion.
## Not putting labels on the plot.
## Using limma's removeBatchEffect to visualize with(out) batch inclusion.
## Not putting labels on the plot.
## Starting basic_pairwise().
## Starting basic pairwise comparison.
## Basic step 0/3: Normalizing data.
## Basic step 0/3: Converting data.
## Basic step 0/3: Transforming data.
## Basic step 1/3: Creating mean and variance tables.
## Basic step 2/3: Performing 6 comparisons.
## Basic step 3/3: Creating faux DE Tables.
## Basic: Returning tables.
## Starting deseq_pairwise().
## Starting DESeq2 pairwise comparisons.
## The data should be suitable for EdgeR/DESeq/EBSeq. If they freak out, check the state of the count table and ensure that it is in integer counts.
## Choosing the non-intercept containing model.
## DESeq2 step 1/5: Including batch and condition in the deseq model.
## converting counts to integer mode
## Error in checkFullRank(modelMatrix) : 
##   the model matrix is not full rank, so the model cannot be fit as specified.
##   One or more variables or interaction terms in the design formula are linear
##   combinations of the others and must be removed.
## 
##   Please read the vignette section 'Model matrix not full rank':
## 
##   vignette('DESeq2')
## Starting ebseq_pairwise().
## The data should be suitable for EdgeR/DESeq/EBSeq. If they freak out, check the state of the count table and ensure that it is in integer counts.
## Starting EBSeq pairwise subset.
## Choosing the non-intercept containing model.
## Starting EBTest of CLBrA60 vs. CLBrA96.
## Copying ppee values as ajusted p-values until I figure out how to deal with them.
## Starting EBTest of CLBrA60 vs. Uninfected.
## Copying ppee values as ajusted p-values until I figure out how to deal with them.
## Starting EBTest of CLBrA96 vs. Uninfected.
## Copying ppee values as ajusted p-values until I figure out how to deal with them.
## Starting edger_pairwise().
## Starting edgeR pairwise comparisons.
## The data should be suitable for EdgeR/DESeq/EBSeq. If they freak out, check the state of the count table and ensure that it is in integer counts.
## Choosing the non-intercept containing model.
## EdgeR step 1/9: Importing and normalizing data.
## EdgeR step 2/9: Estimating the common dispersion.
## EdgeR step 3/9: Estimating dispersion across genes.
## EdgeR step 4/9: Estimating GLM Common dispersion.
## Error in glmFit.default(y, design = design, dispersion = dispersion, offset = offset,  : 
##   Design matrix not of full rank.  The following coefficients not estimable:
##  b c
## Warning in edger_pairwise(...): estimateGLMCommonDisp() failed. Trying again
## with estimateDisp().
## Warning in edger_pairwise(...): There was a failure when doing the estimations.
## There was a failure when doing the estimations, using estimateDisp().
## Error in glmFit.default(sely, design, offset = seloffset, dispersion = 0.05,  : 
##   Design matrix not of full rank.  The following coefficients not estimable:
##  b c
## Starting limma_pairwise().
## Starting limma pairwise comparison.
## libsize was not specified, this parameter has profound effects on limma's result.
## Using the libsize from expt$best_libsize.
## Limma step 1/6: choosing model.
## Choosing the non-intercept containing model.
## Limma step 2/6: running limma::voom(), switch with the argument 'which_voom'.
## Using normalize.method=quantile for voom.
## Coefficients not estimable: b c
## Warning: Partial NA coefficients for 13842 probe(s)
## Limma step 3/6: running lmFit with method: ls.
## Coefficients not estimable: b c
## Warning: Partial NA coefficients for 13842 probe(s)
## Limma step 4/6: making and fitting contrasts with no intercept. (~ 0 + factors)
## Limma step 5/6: Running eBayes with robust=FALSE and trend=FALSE.
## Limma step 6/6: Writing limma outputs.
## Limma step 6/6: 1/3: Creating table: CLBrA96_vs_CLBrA60.  Adjust=BH
## Limma step 6/6: 2/3: Creating table: Uninfected_vs_CLBrA60.  Adjust=BH
## Limma step 6/6: 3/3: Creating table: Uninfected_vs_CLBrA96.  Adjust=BH
## Limma step 6/6: 1/3: Creating table: CLBrA60.  Adjust=BH
## Limma step 6/6: 2/3: Creating table: CLBrA96.  Adjust=BH
## Limma step 6/6: 3/3: Creating table: Uninfected.  Adjust=BH
## Comparing analyses.

## batch_counts: Before batch/surrogate estimation, 137255 entries are x>1: 99%.
## batch_counts: Before batch/surrogate estimation, 813 entries are x==0: 1%.
## The be method chose 2 surrogate variable(s).
## Attempting svaseq estimation with 2 surrogates.
## Plotting a PCA before surrogates/batch inclusion.
## Not putting labels on the plot.
## Using svaseq to visualize before/after batch inclusion.
## Performing a test normalization with: raw
## This function will replace the expt$expressionset slot with:
## log2(svaseq(cpm(cbcb(data))))
## It will save copies of each step along the way
##  in expt$normalized with the corresponding libsizes. Keep libsizes in mind
##  when invoking limma.  The appropriate libsize is non-log(cpm(normalized)).
##  This is most likely kept at:
##  'new_expt$normalized$intermediate_counts$normalization$libsizes'
##  A copy of this may also be found at:
##  new_expt$best_libsize
## Leaving the data unnormalized.  This is necessary for DESeq, but
##  EdgeR/limma might benefit from normalization.  Good choices include quantile,
##  size-factor, tmm, etc.
## Step 1: performing count filter with option: cbcb
## Removing 0 low-count genes (13842 remaining).
## Step 2: not normalizing the data.
## Step 3: converting the data with cpm.
## Step 4: transforming the data with log2.
## transform_counts: Found 813 values equal to 0, adding 1 to the matrix.
## Step 5: doing batch correction with svaseq.
## Note to self:  If you get an error like 'x contains missing values' The data has too many 0's and needs a stronger low-count filter applied.
## Passing off to all_adjusters.
## batch_counts: Before batch/surrogate estimation, 133006 entries are x>1: 96%.
## batch_counts: Before batch/surrogate estimation, 813 entries are x==0: 1%.
## batch_counts: Before batch/surrogate estimation, 4601 entries are 0<x<1: 3%.
## The be method chose 2 surrogate variable(s).
## Attempting svaseq estimation with 2 surrogates.
## There are 577 (0%) elements which are < 0 after batch correction.
## Setting low elements to zero.
## Not putting labels on the plot.
## Starting basic_pairwise().
## Starting basic pairwise comparison.
## Basic step 0/3: Normalizing data.
## Basic step 0/3: Converting data.
## Basic step 0/3: Transforming data.
## Basic step 1/3: Creating mean and variance tables.
## Basic step 2/3: Performing 6 comparisons.
## Basic step 3/3: Creating faux DE Tables.
## Basic: Returning tables.
## Starting deseq_pairwise().
## Starting DESeq2 pairwise comparisons.
## The data should be suitable for EdgeR/DESeq/EBSeq. If they freak out, check the state of the count table and ensure that it is in integer counts.
## Including batch estimates from sva/ruv/pca in the model.
## Choosing the non-intercept containing model.
## DESeq2 step 1/5: Including a matrix of batch estimates in the deseq model.
## converting counts to integer mode
## DESeq2 step 2/5: Estimate size factors.
## DESeq2 step 3/5: Estimate dispersions.
## gene-wise dispersion estimates
## mean-dispersion relationship
## final dispersion estimates
## Using a parametric fitting seems to have worked.
## DESeq2 step 4/5: nbinomWaldTest.
## Starting ebseq_pairwise().
## The data should be suitable for EdgeR/DESeq/EBSeq. If they freak out, check the state of the count table and ensure that it is in integer counts.
## Starting EBSeq pairwise subset.
## Choosing the non-intercept containing model.
## Starting EBTest of CLBrA60 vs. CLBrA96.
## Copying ppee values as ajusted p-values until I figure out how to deal with them.
## Starting EBTest of CLBrA60 vs. Uninfected.
## Copying ppee values as ajusted p-values until I figure out how to deal with them.
## Starting EBTest of CLBrA96 vs. Uninfected.
## Copying ppee values as ajusted p-values until I figure out how to deal with them.
## Starting edger_pairwise().
## Starting edgeR pairwise comparisons.
## The data should be suitable for EdgeR/DESeq/EBSeq. If they freak out, check the state of the count table and ensure that it is in integer counts.
## Including batch estimates from sva/ruv/pca in the model.
## Choosing the non-intercept containing model.
## EdgeR step 1/9: Importing and normalizing data.
## EdgeR step 2/9: Estimating the common dispersion.
## EdgeR step 3/9: Estimating dispersion across genes.
## EdgeR step 4/9: Estimating GLM Common dispersion.
## EdgeR step 5/9: Estimating GLM Trended dispersion.
## EdgeR step 6/9: Estimating GLM Tagged dispersion.
## EdgeR step 7/9: Running glmFit, switch to glmQLFit by changing the argument 'edger_test'.
## EdgeR step 8/9: Making pairwise contrasts.

## Starting limma_pairwise().
## Starting limma pairwise comparison.
## libsize was not specified, this parameter has profound effects on limma's result.
## Using the libsize from expt$best_libsize.
## Limma step 1/6: choosing model.
## Including batch estimates from sva/ruv/pca in the model.
## Choosing the non-intercept containing model.
## Limma step 2/6: running limma::voom(), switch with the argument 'which_voom'.
## Using normalize.method=quantile for voom.

## Limma step 3/6: running lmFit with method: ls.
## Limma step 4/6: making and fitting contrasts with no intercept. (~ 0 + factors)
## Limma step 5/6: Running eBayes with robust=FALSE and trend=FALSE.
## Limma step 6/6: Writing limma outputs.
## Limma step 6/6: 1/3: Creating table: CLBrA96_vs_CLBrA60.  Adjust=BH
## Limma step 6/6: 2/3: Creating table: Uninfected_vs_CLBrA60.  Adjust=BH
## Limma step 6/6: 3/3: Creating table: Uninfected_vs_CLBrA96.  Adjust=BH
## Limma step 6/6: 1/3: Creating table: CLBrA60.  Adjust=BH
## Limma step 6/6: 2/3: Creating table: CLBrA96.  Adjust=BH
## Limma step 6/6: 3/3: Creating table: Uninfected.  Adjust=BH
## Comparing analyses.

Let us see how similar the results are… First I need to combine the tables into one big table. I will tell it to write the results to two files. I will also create a variable ‘keepers’ which defines what I want the numerators and denominators to be. The all_pairwise() function does not have any sense of up and down and simply takes every condition in the data and compares it to every other condition in the data, thus it will include things in which we might not be interested…

## Deleting the file condition.xlsx before writing the tables.
## Writing a legend of columns.
## Printing a pca plot before/after surrogates/batch estimation.
## Working on 1/3: t60 which is: CLBrA60/Uninfected.
## Found inverse table with Uninfected_vs_CLBrA60
## Working on 2/3: t60t96 which is: CLBrA60/CLBrA96.
## Found inverse table with CLBrA96_vs_CLBrA60
## Working on 3/3: t96 which is: CLBrA96/Uninfected.
## Found inverse table with Uninfected_vs_CLBrA96
## Adding venn plots for t60.
## Limma expression coefficients for t60; R^2: 0.867; equation: y = 0.907x + 0.432
## Deseq expression coefficients for t60; R^2: 0.887; equation: y = 0.917x + 0.804
## Edger expression coefficients for t60; R^2: 0.887; equation: y = 0.917x + 0.526
## Adding venn plots for t60t96.
## Limma expression coefficients for t60t96; R^2: 0.867; equation: y = 0.907x + 0.432
## Deseq expression coefficients for t60t96; R^2: 0.887; equation: y = 0.917x + 0.804
## Edger expression coefficients for t60t96; R^2: 0.887; equation: y = 0.917x + 0.526
## Adding venn plots for t96.
## Limma expression coefficients for t96; R^2: 0.867; equation: y = 0.907x + 0.432
## Deseq expression coefficients for t96; R^2: 0.887; equation: y = 0.917x + 0.804
## Edger expression coefficients for t96; R^2: 0.887; equation: y = 0.917x + 0.526
## Writing summary information, compare_plot is: TRUE.
## Performing save of condition.xlsx.
## Writing a legend of columns.
## Printing a pca plot before/after surrogates/batch estimation.
## Working on 1/3: t60 which is: CLBrA60/Uninfected.
## Found inverse table with Uninfected_vs_CLBrA60
## Working on 2/3: t60t96 which is: CLBrA60/CLBrA96.
## Found inverse table with CLBrA96_vs_CLBrA60
## Working on 3/3: t96 which is: CLBrA96/Uninfected.
## Found inverse table with Uninfected_vs_CLBrA96
## Adding venn plots for t60.
## Limma expression coefficients for t60; R^2: 0.867; equation: y = 0.906x + 0.438
## Deseq expression coefficients for t60; R^2: 0.886; equation: y = 0.917x + 0.804
## Edger expression coefficients for t60; R^2: 0.885; equation: y = 0.915x + 0.555
## Adding venn plots for t60t96.
## Limma expression coefficients for t60t96; R^2: 0.867; equation: y = 0.906x + 0.438
## Deseq expression coefficients for t60t96; R^2: 0.886; equation: y = 0.917x + 0.804
## Edger expression coefficients for t60t96; R^2: 0.885; equation: y = 0.915x + 0.555
## Adding venn plots for t96.
## Limma expression coefficients for t96; R^2: 0.867; equation: y = 0.906x + 0.438
## Deseq expression coefficients for t96; R^2: 0.886; equation: y = 0.917x + 0.804
## Edger expression coefficients for t96; R^2: 0.885; equation: y = 0.915x + 0.555
## Writing summary information, compare_plot is: TRUE.
## Performing save of sva.xlsx.
## Testing method: limma.
## Adding method: limma to the set.
## Testing method: deseq.
## Adding method: deseq to the set.
## Testing method: edger.
## Adding method: edger to the set.
## Testing method: ebseq.
## Adding method: ebseq to the set.
## Testing method: basic.
## Adding method: basic to the set.
## $t60
## $t60$logfc
## [1] 0.9982
## 
## $t60$p
## [1] 0.9241
## 
## $t60$adjp
## [1] 0.9382
## 
## 
## $t60t96
## $t60t96$logfc
## [1] 0.9985
## 
## $t60t96$p
## [1] 0.9606
## 
## $t60t96$adjp
## [1] 0.9657
## 
## 
## $t96
## $t96$logfc
## [1] 0.9996
## 
## $t96$p
## [1] 0.9657
## 
## $t96$adjp
## [1] 0.9684

6 Quick ontology

Lets grab the set of up/down genes

## Writing a legend of columns.
## Writing excel data according to limma for t60: 1/15.
## After (adj)p filter, the up genes table has 2906 genes.
## After (adj)p filter, the down genes table has 4423 genes.
## After fold change filter, the up genes table has 754 genes.
## After fold change filter, the down genes table has 400 genes.
## Writing excel data according to limma for t60t96: 2/15.
## After (adj)p filter, the up genes table has 4726 genes.
## After (adj)p filter, the down genes table has 4669 genes.
## After fold change filter, the up genes table has 1503 genes.
## After fold change filter, the down genes table has 1467 genes.
## Writing excel data according to limma for t96: 3/15.
## After (adj)p filter, the up genes table has 4981 genes.
## After (adj)p filter, the down genes table has 5691 genes.
## After fold change filter, the up genes table has 2017 genes.
## After fold change filter, the down genes table has 2184 genes.
## Printing significant genes to the file: condition_sig.xlsx
## 1/3: Creating significant table up_limma_t60
## 2/3: Creating significant table up_limma_t60t96
## 3/3: Creating significant table up_limma_t96
## Writing excel data according to edger for t60: 1/15.
## After (adj)p filter, the up genes table has 3738 genes.
## After (adj)p filter, the down genes table has 3425 genes.
## After fold change filter, the up genes table has 1342 genes.
## After fold change filter, the down genes table has 103 genes.
## Writing excel data according to edger for t60t96: 2/15.
## After (adj)p filter, the up genes table has 4510 genes.
## After (adj)p filter, the down genes table has 4534 genes.
## After fold change filter, the up genes table has 1169 genes.
## After fold change filter, the down genes table has 1352 genes.
## Writing excel data according to edger for t96: 3/15.
## After (adj)p filter, the up genes table has 5358 genes.
## After (adj)p filter, the down genes table has 5263 genes.
## After fold change filter, the up genes table has 2388 genes.
## After fold change filter, the down genes table has 1795 genes.
## Printing significant genes to the file: condition_sig.xlsx
## 1/3: Creating significant table up_edger_t60
## 2/3: Creating significant table up_edger_t60t96
## 3/3: Creating significant table up_edger_t96
## Writing excel data according to deseq for t60: 1/15.
## After (adj)p filter, the up genes table has 3704 genes.
## After (adj)p filter, the down genes table has 3722 genes.
## After fold change filter, the up genes table has 1329 genes.
## After fold change filter, the down genes table has 106 genes.
## Writing excel data according to deseq for t60t96: 2/15.
## After (adj)p filter, the up genes table has 4392 genes.
## After (adj)p filter, the down genes table has 4707 genes.
## After fold change filter, the up genes table has 1131 genes.
## After fold change filter, the down genes table has 1387 genes.
## Writing excel data according to deseq for t96: 3/15.
## After (adj)p filter, the up genes table has 5495 genes.
## After (adj)p filter, the down genes table has 5203 genes.
## After fold change filter, the up genes table has 2425 genes.
## After fold change filter, the down genes table has 1759 genes.
## Printing significant genes to the file: condition_sig.xlsx
## 1/3: Creating significant table up_deseq_t60
## 2/3: Creating significant table up_deseq_t60t96
## 3/3: Creating significant table up_deseq_t96
## Writing excel data according to ebseq for t60: 1/15.
## After (adj)p filter, the up genes table has 2437 genes.
## After (adj)p filter, the down genes table has 3446 genes.
## After fold change filter, the up genes table has 1063 genes.
## After fold change filter, the down genes table has 107 genes.
## Writing excel data according to ebseq for t60t96: 2/15.
## After (adj)p filter, the up genes table has 3510 genes.
## After (adj)p filter, the down genes table has 4463 genes.
## After fold change filter, the up genes table has 984 genes.
## After fold change filter, the down genes table has 1361 genes.
## Writing excel data according to ebseq for t96: 3/15.
## After (adj)p filter, the up genes table has 4763 genes.
## After (adj)p filter, the down genes table has 4768 genes.
## After fold change filter, the up genes table has 2285 genes.
## After fold change filter, the down genes table has 1793 genes.
## Printing significant genes to the file: condition_sig.xlsx
## 1/3: Creating significant table up_ebseq_t60
## 2/3: Creating significant table up_ebseq_t60t96
## 3/3: Creating significant table up_ebseq_t96
## Writing excel data according to basic for t60: 1/15.
## After (adj)p filter, the up genes table has 1880 genes.
## After (adj)p filter, the down genes table has 2929 genes.
## After fold change filter, the up genes table has 615 genes.
## After fold change filter, the down genes table has 201 genes.
## Writing excel data according to basic for t60t96: 2/15.
## After (adj)p filter, the up genes table has 4047 genes.
## After (adj)p filter, the down genes table has 4025 genes.
## After fold change filter, the up genes table has 1318 genes.
## After fold change filter, the down genes table has 1280 genes.
## Writing excel data according to basic for t96: 3/15.
## After (adj)p filter, the up genes table has 4398 genes.
## After (adj)p filter, the down genes table has 4977 genes.
## After fold change filter, the up genes table has 1838 genes.
## After fold change filter, the down genes table has 2020 genes.
## Printing significant genes to the file: condition_sig.xlsx
## 1/3: Creating significant table up_basic_t60
## 2/3: Creating significant table up_basic_t60t96
## 3/3: Creating significant table up_basic_t96
## Adding significance bar plots.
## Performing gProfiler GO search of 1329 genes against hsapiens.
## GO search found 504 hits.
## Performing gProfiler KEGG search of 1329 genes against hsapiens.
## KEGG search found 32 hits.
## Performing gProfiler REAC search of 1329 genes against hsapiens.
## REAC search found 34 hits.
## Performing gProfiler MI search of 1329 genes against hsapiens.
## MI search found 0 hits.
## Performing gProfiler TF search of 1329 genes against hsapiens.
## TF search found 105 hits.
## Performing gProfiler CORUM search of 1329 genes against hsapiens.
## CORUM search found 2 hits.
## Performing gProfiler HP search of 1329 genes against hsapiens.
## HP search found 11 hits.
##              Length Class      Mode
## go           14     data.frame list
## kegg         14     data.frame list
## reac         14     data.frame list
## mi           14     data.frame list
## tf           14     data.frame list
## corum        14     data.frame list
## hp           14     data.frame list
## input        56     data.frame list
## pvalue_plots 18     -none-     list
## Performing gProfiler GO search of 106 genes against hsapiens.
## GO search found 21 hits.
## Performing gProfiler KEGG search of 106 genes against hsapiens.
## KEGG search found 2 hits.
## Performing gProfiler REAC search of 106 genes against hsapiens.
## REAC search found 22 hits.
## Performing gProfiler MI search of 106 genes against hsapiens.
## MI search found 0 hits.
## Performing gProfiler TF search of 106 genes against hsapiens.
## TF search found 0 hits.
## Performing gProfiler CORUM search of 106 genes against hsapiens.
## CORUM search found 1 hits.
## Performing gProfiler HP search of 106 genes against hsapiens.
## HP search found 9 hits.

I will leave it as an exercise to the reader to find out where the plots are for the ontology searches.

---
title: "T. cruzi human samples with Fernanda: 20200325"
author: "atb abelew@gmail.com"
date: "`r Sys.Date()`"
output:
  html_document:
    code_download: true
    code_folding: show
    fig_caption: true
    fig_height: 7
    fig_width: 7
    highlight: tango
    keep_md: false
    mode: selfcontained
    number_sections: true
    self_contained: true
    theme: readable
    toc: true
    toc_float:
      collapsed: false
      smooth_scroll: false
  rmdformats::readthedown:
    code_download: true
    code_folding: show
    df_print: paged
    fig_caption: true
    fig_height: 7
    fig_width: 7
    highlight: tango
    width: 300
    keep_md: false
    mode: selfcontained
    toc_float: true
  BiocStyle::html_document:
    code_download: true
    code_folding: show
    fig_caption: true
    fig_height: 7
    fig_width: 7
    highlight: tango
    keep_md: false
    mode: selfcontained
    toc_float: true
---

<style type="text/css">
body, td {
  font-size: 16px;
}
code.r{
  font-size: 16px;
}
pre {
 font-size: 16px
}
</style>

```{r options, include=FALSE}
library("hpgltools")
tt <- devtools::load_all("~/hpgltools")
knitr::opts_knit$set(width=120,
                     progress=TRUE,
                     verbose=TRUE,
                     echo=TRUE)
knitr::opts_chunk$set(error=TRUE,
                      dpi=96)
old_options <- options(digits=4,
                       stringsAsFactors=FALSE,
                       knitr.duplicate.label="allow")
ggplot2::theme_set(ggplot2::theme_bw(base_size=10))
rundate <- format(Sys.Date(), format="%Y%m%d")
previous_file <- ""
ver <- "20200325"

##n="\\.Rmd", replace="", x=previous_file), "-v", ver, ".rda.xz")))
rmd_file <- "index.Rmd"
```

# Play with some T. cruzi infected human samples.

First things first, get some human annotation data.  My hpgltools package has a
function for doing just that from ensembl.

```{r annotation}
hs_annot <- load_biomart_annotations(host="useast.ensembl.org")
summary(hs_annot)
```

The result of load_biomart_annotations() is a list with 7 elements.  The first
one is probably the only one of significant interest.  The rest are useful if
you want to load other data or figure out what happened if biomart is not
responding as you expect it to.

```{r view_annotation}
hs_annot <- hs_annot$annotation
head(hs_annot)
```

Here are the first 6 rows of the human annotation data.  The row names all start
with ENST, so they are keyed off the transcript ID.  This is sort of a problem,
as we really want to use the gene IDs (the second column, ensembl_gene_id).

```{r rekey_annotations}
rownames(hs_annot) <- make.names(hs_annot[["ensembl_gene_id"]], unique=TRUE)
```

# Making an expressionset

All the likely tasks we will want to do with the RNASeq data are performed via a
data type called the expressionSet.  There are a few things which are slightly
annoying about them to me, and creating them is a bit more difficult to get
correct than I would like; so I wrote a function to hopefully make it easier.

```{r create_expressionset}
hs_expt <- create_expt(metadata="sample_sheets/tc_samples.xlsx",
                       gene_info=hs_annot,
                       file_column="humanfile")
```

I like to think of an exressionSet as a 3 dimensional cube-like object.

Unlike a real cube with 6 sides, this one only has 3:

1.  exprs: rows are gene IDs and columns are sample IDs.  Each cell of the data
    is the count data for one sample/gene.
2.  pData: rows are sample IDs and columns are arbitrary experiment metadata.
3.  fData: rows are gene IDs and columns are arbitrary gene annotation data.

```{r expt}
head(exprs(hs_expt))
head(pData(hs_expt))
head(fData(hs_expt))
```

All the following analyses will use this as the starting point.

Here is a fun little thing we can do with this:

One of the columns in the annotation data is transcript length.  Keep in mind
that we are working at the level of genes, so each gene in the expressionset is
using the annotation data from the first transcript; this does not generally
matter, but we should remember it in case we decide to do something where it
_does_ matter...

```{r plot_hs_genelengths}
lengths <- as.numeric(fData(hs_expt)[["cds_length"]])
gene_lengths <- plot_histogram(lengths)
library(ggplot2)
gene_lengths +
    scale_x_continuous(limits=c(0, 10000))
```

The distribution of transcript lengths in the human genome for the set of
transcripts <= 10,000 nucleotides in length.

# Plot raw data

There are a few analyses which are nice to look at with relatively raw data.

## Counts per sample

I have a function named plot_libsize() which just provides how many counts were
found for each sample in the data.  This is useful because if one or more
samples have waaaay fewer counts than the others, that will cause weird
artifacts in the final result.

```{r legend}
hs_legend <- plot_legend(hs_expt)
```

```{r libsize}
hs_libsize <- plot_libsize(hs_expt)
summary(hs_libsize)
```

As you see, the result of plot_libsize() is a list with 3 elements.  A plot,
table, and summary.

```{r libsize_stuff}
hs_libsize$plot
hs_libsize$table
hs_libsize$summary
```

We can see that the samples are reasonably similar in terms of number of counts,
so that is good.

What about the overall distribution of counts per sample?

```{r count_distribution}
hs_density <- plot_density(hs_expt)
summary(hs_density)
```

I suspect you are seeing a trend.  Most of the things I wrote return lists.
Things I wrote which create plots usually have an element in that list named
plot...

```{r density_plot}
hs_density$plot
hs_density$condition_summary
```

We can see at a glance that the distribution of counts for the infected and
uninfected samples are very different.  I am thinking that should not be a big
surprise.

How do the raw data compare against each other?  We can use
correlation/distance heatmaps to query that, however we should keep in mind that
the results can be misleading if the data has not been normalized (which it has
not).

```{r raw_heat}
hs_cor <- plot_corheat(hs_expt)
```

Like I said this is probably not very meaningful, but it would appear at first
glance that the 60 hour and uninfected samples are much more similar to each
other than either is to the 96 hour.

Lets normalize the data.

```{r norm}
hs_norm <- normalize_expt(hs_expt, transform="log2", convert="cpm", norm="quant", filter=TRUE)
```

The above low-count filters the data (filter=TRUE), log2 transforms it, does a
counts-per-million conversion, and quantile normalizes the data.

Now let us replot the data with the normalization.  Note that I have a shortcut
function: graph_metrics() which does every plot, some of the plots take a long
time and so are not generated by default.

```{r norm_plots, fig.show="hide"}
hs_norm_plots <- graph_metrics(hs_norm)
summary(hs_norm_plots)
```

```{r some_norm_plots}
## Start with the good news, normalization makes some things more apparent.
hs_norm_plots$pc_plot
hs_norm_plots$tsne_plot
## Like the relationship among the samples via PCA/TSNE plots
hs_norm_plots$corheat
## And the pairwise correlations
hs_norm_plots$disheat
## along with the distances
hs_norm_plots$smc
## The standard median correlations look find
hs_norm_plots$nonzero
## And no samples have lots of null genes.

## Now for the bad news, normalization kills useful information in the data.
hs_norm_plots$boxplot
## All samples have been smooshed by quantile normalization into identical
## distributions.  This is terrible for some things.
hs_norm_plots$cvplot
## For example, calculating the coefficient of variance...
```

# Attempt a surrogate variable analysis

Lets see if anything changes if we apply sva to the data.  Because we removed
much of the data from the original experiment, we probably cannot viably add
batch to the model in the data, it might work but I am thinking it will give
faulty results.

It is worth noting that over time, an increasingly large family of surrogate
variable analyses have been created.  I have wrappers for a few of them, but I
mostly just stick with the default sva.

```{r sva}
hs_norm_batch <- normalize_expt(hs_expt, transform="log2", convert="cpm",
                                filter=TRUE, batch="svaseq")
plot_pca(hs_norm_batch)$plot
## Eh, not much difference I am thinking.
```

# Perform a differential expression analysis.

We will do three versions of this, one with only condition in the model, one
with condition and batch, and one using sva.

My function all_pairwise() does the following:

1.  Tries to ensure that the data is valid for the various tools I want to use.
    It should yell at you if it is not and depending on what information it has,
    fix it.
2.  Pass the data to limma, deseq2, edger, ebseq, and a basic analysis I wrote.
3.  Collect the results into a list.
4.  Give you the list.

Thus, if you wish to learn how to invoke limma and friends, you may wish instead
to look up the functions: limma_pairwise(), deseq_pairwise(), edger_pairwise(),
ebseq_pairwise(), and basic_pairwise() in order to see the things I do to run
them.  Hopefully, you will find that I pretty carefully followed the suggestions
from the authors of each tool.

The _pairwise() family of functions has a lot of options, I will only be using
'model_batch' to change one of them.

```{r de}
hs_cond <- all_pairwise(hs_expt, model_batch=FALSE, filter=TRUE)
summary(hs_cond)

hs_condbatch <- all_pairwise(hs_expt, model_batch=TRUE, filter=TRUE, parallel=FALSE)
## It looks like I was correct, the experimental model does not support a batch
## factor, so this failed.

## For this last invocation, I will turn off parallel processing, so it will
## take longer but also print out what it is doing while it runs...
hs_sva <- all_pairwise(hs_expt, model_batch="svaseq", parallel=FALSE, filter=TRUE)
```

Let us see how similar the results are...  First I need to combine the tables
into one big table.  I will tell it to write the results to two files.  I will
also create a variable 'keepers' which defines what I want the numerators and
denominators to be.  The all_pairwise() function does not have any sense of up
and down and simply takes every condition in the data and compares it to every
other condition in the data, thus it will include things in which we might not
be interested...

```{r compare_them, fig.show="hide"}
keepers <- list(
    "t60" = c("CLBrA60", "Uninfected"),
    "t60t96" = c("CLBrA60", "CLBrA96"),
    "t96" = c("CLBrA96", "Uninfected"))
hs_cond_tables <- combine_de_tables(hs_cond, excel="condition.xlsx", keepers=keepers)
hs_sva_tables <- combine_de_tables(hs_sva, excel="sva.xlsx", keepers=keepers)

comp <- compare_de_results(hs_cond_tables, hs_sva_tables)
comp$result$deseq
## Looks like sva did not do much at all to the data, yay!
```

# Quick ontology

Lets grab the set of up/down genes

```{r ontology}
sig_genes <- extract_significant_genes(hs_cond_tables,
                                       excel="condition_sig.xlsx")

a60_ups <- sig_genes[["deseq"]][["ups"]][["t60"]]
a60_downs <- sig_genes[["deseq"]][["downs"]][["t60"]]

a60_ont_ups <- simple_gprofiler(a60_ups)
summary(a60_ont_ups)

a60_ont_downs <- simple_gprofiler(a60_downs)
```

I will leave it as an exercise to the reader to find out where the plots are for
the ontology searches.


```{r saveme, eval=FALSE}
pander::pander(sessionInfo())
message(paste0("This is hpgltools commit: ", get_git_commit()))
this_save <- paste0(gsub(pattern="\\.Rmd", replace="", x=rmd_file), "-v", ver, ".rda.xz")
message(paste0("Saving to ", this_save))
tmp <- sm(saveme(filename=this_save))
```
