How Long to Read Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies

By Jie Shen

How Long Does it Take to Read Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies?

It takes the average reader and 52 minutes to read Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies by Jie Shen

Assuming a reading speed of 250 words per minute. Learn more

Description

Genome-wide analyses are now common approaches for identifying genetic risk factors for disease. The standard analysis is based on a series of tests for association of an individual single nucleotide polymorphism (SNP) with disease status. This approach ignores known relationships among SNPs which motivate this research on methods that incorporate dependence among genetic markers. In this dissertation, we develop Bayesian hierarchical models that analyze the effects of a range of SNPs simultaneously. Two types of prior probability models are proposed to capture dependence among SNPs. The first type of prior probability model assumes that the underlying SNP effects on disease are best described by a multivariate Gaussian distribution with the variance of the Gaussian distribution characterizing the spatial association among SNPs. The multivariate Gaussian distribution is later replaced with a multivariate t model which is a more realistic fit to the expected distribution of SNP effects. The second type of prior probability model is a discrete spatial mixture distribution on the SNP effects. The SNP effects are modeled as a mixture of two or more components; the dependence among SNP effects is addressed in the allocation of SNPs to the mixture model components using a Potts model. The performance of our models is evaluated in simulation and in applications to an Alzheimer's disease dataset.

How long is Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies?

Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies by Jie Shen is 52 pages long, and a total of 13,104 words.

This makes it 18% the length of the average book. It also has 16% more words than the average book.

How Long Does it Take to Read Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 11 minutes to read Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies aloud.

What Reading Level is Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies?

Bayesian Hierarchical Models with Spatial Prior Distributions in Genome-wide Association Studies is suitable for students ages 8 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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