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Estimation with the Pollination Data

Estimation

5 Lessons

Work your way through statistical estimation, variability, normal distribution, and confidence intervals in R.

Standard Deviations and Standard Errors

The Normal Distribution and the Central Limit Theorem

Quiz: Estimation

Introduction to Linear Model Analysis

Linear Models

9 Lessons

Enhance your skills in using R for linear model analysis, confidence intervals, and statistical plotting.

Standard Error of the Difference

Confidence Intervals and Darwin’s Question

Releveling to Calculate Mean and Standard Error

Normality and Equal Variance

Challenge: Summary Statistics and Plotting in R

Solution: Summary Statistics and Plotting in R

Quiz: Linear Models

Introduction to Linear Regression

Regression

6 Lessons

Map out the steps for using linear regression in R for predictive analysis.

The Janka Hardness Data

Correlation and Linear Regression in R

Assumptions in Linear Regression

Quiz: Regression

Prediction Using Regression

Prediction

6 Lessons

Focus on making accurate predictions in R using regression, intervals, and hands-on examples.

Confidence Intervals and Prediction Intervals

Challenge: Coefficients, Confidence Intervals, and X-matrix in R

Solution: Coefficients, Confidence Intervals, and X-matrix in R

Quiz: Prediction

Significance Testing with the t-Test

Testing

7 Lessons

Piece together the parts of t-tests, critical values, and hypothesis testing using R.

Critical and Observed Values

Table of Coefficients

Challenge: Critical Value of t in R

Solution: Critical Value of t in R

Quiz: Testing

Comparisons Using Estimates and Intervals

Intervals

10 Lessons

Learn how to use estimates and intervals for effective statistical analysis with R.

Descriptive Statistics

Confidence Intervals for Standard Errors

Confidence Intervals for Difference in Means

Relating the Different Types of Intervals and Error Bars

Point Estimates and Confidence Intervals

Challenge: Least Significant Difference and Mean in R

Solution: Least Significant Difference and Mean in R

Quiz: Intervals

Analysis of Variance Table

Analysis of Variance

6 Lessons

Unpack the core of ANOVA tables, hypothesis testing, and two-way ANOVA for data analysis.

ANOVA Tables

Hypothesis Testing

Two-way ANOVA

Quiz: Analysis of Variance

Two-Way ANOVA Test with No Interaction

10.

Factorial Designs

8 Lessons

Examine factorial designs to analyze interactions and additive effects using R's ANOVA tests.

Factorial Designs

Comparing Groups

Additive Treatment Effects

Interactions: Factorial ANOVA

The Factorial ANOVA Table

Quiz: Factorial Designs

ANCOVA and the Agricultural Pollution Data

11.

Analysis of Covariance

6 Lessons

Enhance your skills in interpreting and applying ANCOVA to agricultural data.

ANCOVA with Water Stress and Low-level Ozone

ANCOVA and The Table of Coefficients

Interactions in ANCOVA and General Linear Models

Quiz: Analysis of Covariance

Analysis of Variance for Balanced Designs

12.

Linear Model Complexities

9 Lessons

Dig deeper into handling ANOVA complexities, unbalanced designs, main effects, and linear regression.

Analysis of Variance with Unbalanced Designs

ANOVA Tables Versus Coefficients

Marginality of Main Effects and Interactions

Main Effects of Water Stress and Sulphur Dioxide

Challenge: Fitting The Linear Regression Model

Solution: Fitting the Linear Regression Model

Quiz: Linear Model Complexities

GLMs and the Trouble with Transformations

13.

Generalized Linear Models

7 Lessons

Utilize GLMs for flexible regression, addressing mean and variance independently with R's tools.

Transformation with Log Data

The Box-Cox Power Transformation

Generalized Linear Models in R

GLM with Gaussian Variance

Quiz: Generalized Linear Models

Introduction of GLMs for Count Data

14.

GLMs for Count Data

4 Lessons

Master the steps to analyze count data with Poisson and quasi-maximum likelihood GLMs.

Quasi-maximum Likelihood

Quiz: GLMs for Count Data

The Beetle Mortality Experiment

15.

Binomial GLMs

5 Lessons

Learn how to use binomial GLMs and logistic models for mortality rate analysis.

GLM for Binomial Counts

Alternative Link Functions

Quiz: Binomial GLMs

Binary Data and The Wells Dataset

16.

GLMs for Binary Data

5 Lessons

Get started with analyzing binary data using binomial GLMs for insightful interpretations.

Binary GLM for the Wells Dataset

Centering

Quiz: GLMs for Binary Data

Revisiting the Challenger Dataset with GLMs

17.

Conclusion

5 Lessons

Examine key GLM analyses, enhance reproducibility, and consider future learning in statistical analysis.

GLM Analysis of the Challenger Binary Data

Recommendations

What's Next?

18.

Appendix

2 Lessons

Grasp the fundamentals of installing and using R and RStudio for reproducible research.

Installation

The Reproducibility Crisis and R Scripts

Course Author

Oxford University Press

Project

Analyzing Cardiovascular Risk Factors with R

intermediate

Project

Analyzing Cardiovascular Risk Factors with R

This project analyze cardiovascular risk factors with machine learning to identify key influences on cardiac diseases

intermediate

Biostatistics in Medical Study with R

Project

beginner

Project

Biostatistics in Medical Study with R

Learn to analyze complex medical data using R, covering statistics, modeling, and practical applications in healthcare research.

beginner

Data Visualizations with ggplot2 in R

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