In a high-throughput experiment one performs measurements on thousands of variables (e.g. genes or proteins) across two or more experimental conditions. In bioinformatics, we come across such data generated using technologies like Microarrays, Next generation sequencing, Mass spec etc. Data from these technologies have their own pre-processing, normalising and quality checks (see here and here … Continue reading High Dimensional Data & Hierarchical Regression
Binary problems, where the outcome can be either True or False are very common in data analysis, from an inference or classification point of view. A previous post on binomial modelling deals with a similar problem, but this time we frame the problem from a regression or generalized linear model (GLM) view point. Previously we … Continue reading Logistic “Aggression”: binary classification problems
Analysing a variety of Next Generation Sequencing (NGS) data sets from different projects over the past years, we have developed a general workflow to assess data quality. This is a guideline and can be applied at various steps of the analysis, starting with raw FASTQ file checks. FASTQ Quality Checks: Generally the simplest tool to … Continue reading Next Generation Sequencing Data Quality Checks
The material in this post comes from various sources, some of which can be found in  Kruschke, J. K. (2014). Doing Bayesian data analysis: A tutorial with R, JAGS, and Stan, second edition. Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan, Second Edition. http://doi.org/10.1016/B978-0-12-405888-0.09999-2  Gelman, A., Carlin, J. B., Stern, … Continue reading Hierarchical Models: A Binomial Model with Shrinkage
Principal component analysis is a commonly used technique in multi-variate statistics and pattern recognition literature. In this post I try to merge ideas of Geometric and Algebraic interpretation of data as vectors in a vector space and its relationship with PCA. The 3 major sources used in this blog are:  Thomas D. Wickens (1995). The … Continue reading Pattern Recognition using PCA: Variables and their Geometric Relationships
Plausible reasoning requires constructing rational arguments by use of syllogisms, and their analysis by deductive and inductive logic. Using this method of reasoning and expressing our beliefs, in a scientific hypothesis, in a numerical manner using probability theory is one of my interest. I try to condense the material from the first 4 chapters of … Continue reading Plausible Reasoning for Scientific Problems: Belief Driven by Priors and Data.
I wrote a post a while back about Mixture Distributions and Model Comparisons. This post continues on that theme and tries to model multiple data generating processes into a single model. The code for this post is available at the github repository. There were many useful resources that helped me understand this model, and some … Continue reading Regression & Finite Mixture Models