This pipeline calculates clusters based on consensus hierarchical clustering with agglomerative ward linkage , . This pipeline has the following features:
Classify samples into consensus clusters.
Determine differentially expressed marker proteins for each subtype.
Median absolute deviation (MAD) was used to select 189 most variable proteins. Consensus ward linkage hierarchical clustering of 164 samples and 189 proteins identified 3 subtypes with the stability of the clustering increasing for k = 2 to k = 10.
Samples most representative of the clusters, hereby called core samples were identified based on positive silhouette width, indicating higher similarity to their own class than to any other class member. Core samples were used to select differentially expressed marker proteins for each subtype by comparing the subclass versus the other subclasses, using Student's t-test.
|AKT1 AKT2 AKT3|AKT_PS473-R-V||6.6e-21||1.3||6.2e-19||1|
|AKT1 AKT2 AKT3|AKT_PT308-R-V||7.8e-18||1||2.1e-16||1|
The RPPA Level 3 data was used as the input for clustering; protein measurements corrected by median centering across antibodies.
Input file = /xchip/cga/gdac-prod/tcga-gdac/jobResults/GDAC_TopgenesforCluster/PRAD-TP/11542037/PRAD-TP.expclu.gct
Consensus Hierarchical clustering is a resampling-based clustering. It provides for a method to represent the consensus across multiple runs of a clustering algorithm and to assess the stability of the discovered clusters. To this end, perturbations of the original data are simulated by resampling techniques. In our analysis, the R version of ConsensusClusterPlus(v1.18.0) was used , .
Silhouette width is defined as the ratio of average distance of each sample to samples in the same cluster to the smallest distance to samples not in the same cluster. If silhouette width is close to 1, it means that sample is well clustered. If silhouette width is close to -1, it means that sample is misclassified .
The cophenetic correlation coefficient is computed as the Pearson correlation of two distance matrices:
Distance between samples induced by the consensus matrix.
Distance between samples induced by the linkage used in reordering the consensus matrix.
The cophenetic correlation coefficients and average silhouette values are used to determine the k with the most robust clusterings. From the plot of cophenetic correlation versus k, we select modes and the the point preceding the greatest decrease in cophenetic correlation coefficient, and from these choose the k with the highest average silhouette value.
In addition to the links below, the full results of the analysis summarized in this report can also be downloaded programmatically using firehose_get, or interactively from either the Broad GDAC website or TCGA Data Coordination Center Portal.