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13.4 Centering — Statistics for Health Data Science

WEB13.4 Centering¶. In many analyses, interpreting the intercept is not as important as interpreting the estimated regression coefficients and so it does not matter if our …

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URL: https://lshtm-hds.github.io/Content-2021/13.e.%20Linear%20Regression%20II.html

12.3 The simple linear regression model — Statistics for Health …

WEBThe specification of the linear predictor has two parameters: \(\beta_0\) and \(\beta_1\).These are interpreted as follows: \(\beta_0\) is the intercept. It is the expected …

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Probability and statistics — Statistics for Health Data Science

WEBThis is not how real life works! Typically, in health data science studies, we have observed some data which we believe can be modelled using a particular distribution (such as the …

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3.1 Continuous random variables — Statistics for Health Data …

WEBStatistics for Health Data Science. Welcome to Statistics for Health Data Science Preamble Acknowledgements

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Welcome to Statistics for Health Data Science

WEB1.1 Overall aim of the module¶. The overall module aims are to introduce: the motivation and critical thinking towards solving a question in health science through interrogation of …

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Statistical Inference — Statistics for Health Data Science

WEBStatistical Inference¶. This section of the notes concerns a really important part of statistics: statistical inference. Statistical analysis is often separated into two types: descriptive and …

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1 Introduction — Statistics for Health Data Science

WEB1.3 The Data Science Project¶. Once a health related question is posed, this could be the start of a Data Science Project. Typically, we try to frame the question around a scientific …

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13.1 Categorical independent variables — Statistics for Health …

WEB13.1.1 Dummy variables¶. We have height measured in inches and weight measured in pounds. BMI is obtained using the formula \(BMI = 703 \times weight (lb) / height …

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Statistics and Health Data Science — Statistics for Health Data …

WEBStatistics for Health Data Science. Welcome to Statistics for Health Data Science Preamble Acknowledgements

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2.2 The binomial distribution — Statistics for Health Data Science

WEBStatistics for Health Data Science. Welcome to Statistics for Health Data Science Preamble Acknowledgements

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13.6 Including higher-order terms — Statistics for Health Data …

WEB13.6.1 The quadratic regression model. The quadratic regression model is a multivariable regression model with two independent variables where the second variable is the …

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15.7 Multivariable logistic regression — Statistics for Health Data …

WEB15.7.1 Example¶. We consider an example using the dementia dataset. This time, our interest lies in modeling the relationship between the odds of being diagnosed with …

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How to use this book — Statistics for Health Data Science

WEBR code¶. Analyses are illustrated using R code. Each page which contains R code should be self-contained. You should be able to copy and paste each chunk of R code (using …

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Probability Theorems — Maths, Probability and Statistics Refresher

WEBTheorem of total probability¶. Sometimes we wish to know the probability of a particular event \(A\), but we only have data regarding the probability of the event conditional on …

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3.5 Joint distributions and correlations — Statistics for Health Data

WEBNote that this is different to assuming that \(X\) is independent of \(Y\).. So what does this mean in practical terms? Returning to the BMI data we can report that the average BMI …

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12.7 Example: binary independent variable — Statistics for Health …

WEBˆβ0 = 123.09. This is interpreted as the estimated mean birthweight (in oz) of a baby with “dummy” variable equal to 0, i.e. it is the estimated mean birthweight of babies whose …

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16.7 Poisson Regression Example — Statistics for Health Data …

WEB16.7.3 Poisson Regression Goodness of Fit Example¶. At the bottom of the output we see the null deviance and residual deviance from the model. The residual deviance is 120.53 …

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Maths, Probability and Statistics Refresher

WEBMaths, Probability and Statistics Refresher¶. This document contains a brief refresher on key mathematics, probability and statistics topics. It is intended for the use of students …

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