Statistical Methods in Biology

Design and Analysis of Experiments and Regression is a practical and illustrative guide to experiment design and data analysis in the biological and agricultural sciences, written in simple language and illustrated with relevant examples. Our experts present statistical concepts in the context of biological and agricultural sciences, drawing on relevant examples from the experts experience. It takes a practical and intuitive approach, only using mathematical formulae to formalise the methods where necessary and appropriate. It includes in-depth discussions of real-world data sets derived from research. The experts conduct in-depth data analysis to demonstrate the use of basic formulae for simple examples and the GenStat® statistical package for more complex examples. Each chapter studied under Statistical Methods for Biologists includes instructions for running the example analyses in GenStat and R.

KEY FEATURE

It teaches a clear understanding of the significance of using a statistical approach to design your experiments.

A solid understanding of the statistical methods used to analyse data from designed experiments, as well as the regression approaches used to build simple models.

Sufficient knowledge of how to use one or more statistical packages to analyse data using the methods described.

How to interpret the results of these statistical analyses in the context of the biological or agricultural science in which you are working.

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Key Topics
    The proper understanding and application of statistical tools is critical to the scientific endeavour. This is true both for designing one’s own experiments and for critically evaluating studies conducted by others. Unfortunately, many otherwise rigorous and thoughtful scientists lack sufficient knowledge of this field. This methods chapter is written with these people in mind. Although the majority of the examples are from Caenorhabditis elegans biology, the concepts and practical applications are also applicable to those working in molecular genetics and cell and developmental biology. Our goal has been to keep theoretical considerations to a minimum and to use common examples as examples for statistical analysis. Our chapter includes a definition of key terms and concepts, as well as in-depth discussions of means, proportions, ratios, probabilities, and correlations. We also discuss sample size, normality, outliers, and non-parametric approaches.

    Statistical Methods in Biology

    This course is built around case studies of statistical approaches to computational biology problems. By formulating biological questions and repeating the following steps, we will learn about statistical modelling in computational biology: Formalize the question as a probabilistic model (typically using a likelihood function); clarify the interpretation of model parameters and model assumptions; develop methods for parameter estimation; quantify uncertainty in parameter estimation; interpret the parameters to address the biological question.

    Key Topics Studied Under Statistical Methods For Biologists

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    • Introductory statistics
    • Introductory statistics
    • Linear regression
    • Hypothesis testing
    • Logistic regression
    • Generalized linear models
    • Bayesian regression
    • Sparse regression
    • Coalescent processes
    • Clustering
    • Classification
    • Support vector machines
    • Gaussian graphical models
    • Infinite mixture models
    • Gaussian processes
    • Bayesian nonparametric models
    • Mixed effects models
    • Mixture models
    • Admixture models
    • PCA
    • Factor analysis
    • Markov chains
    • Continuous time Markov models
    • Hidden Markov models
    • In-class Midterm
    • Trees

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    The proper understanding and application of statistical tools is critical to the scientific endeavour. This is true both for designing one’s own experiments and for critically evaluating studies conducted by others. Unfortunately, many otherwise rigorous and thoughtful scientists lack sufficient knowledge of this field. This methods chapter is written with these people in mind. Although the majority of the examples are from Caenorhabditis elegans biology, the concepts and practical applications are also applicable to those working in molecular genetics and cell and developmental biology. Our goal has been to keep theoretical considerations to a minimum and to use common examples as examples for statistical analysis. Our chapter includes a definition of key terms and concepts, as well as in-depth discussions of means, proportions, ratios, probabilities, and correlations. We also discuss sample size, normality, outliers, and non-parametric approaches.

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