A Minimal Book Example
Prerequisites
1
Introduction
1.1
Lecture Tips
2
Data: Statistical units and Variables
2.1
Statistical units
2.2
Variables
2.3
Data storage
2.4
Variable types
3
Descriptive statistics
3.1
Frequency table
3.2
Central parameters
3.2.1
Mean
3.2.2
Median
3.2.3
Percentile and quantile
3.2.4
Mode
3.3
Variation parameters
3.3.1
Range and IQR
3.3.2
Variance and standard deviation
3.4
Graphical summary
3.4.1
Barplot
3.4.2
Pie chart
3.4.3
Histogram
3.4.4
Boxplot
3.4.5
Scatterplot
3.4.6
Communication tips
4
Inference and sample
4.1
Sample
4.1.1
Population versus Sample
4.1.2
Sample designs
4.1.3
Probability sampling
4.1.4
Non-probability sampling
4.1.5
Sampling bias
4.2
Confidence intervals
4.2.1
Within and between sample variation
4.2.2
The CLT and the confidence interval
4.2.3
Interpretation of confidence intervals
4.2.4
Why 1.96?
4.2.5
Precision or Margin error
5
Inference and statistical tests
5.1
Formulate a hypothesis
5.2
Comparison of two means
5.3
Comparison of two proportions
5.3.1
Chi-square test
5.3.2
Fisher’s Exact test
5.4
Risk
\(\alpha\)
and
\(p-value\)
5.5
Risk
\(\alpha\)
and risk
\(\beta\)
5.6
Comparison of multiple groups
5.6.1
Graphical comparison
5.6.2
Analysis Of Variance
5.6.3
Post-hoc analysis and ANOVA assumptions
5.7
Parametric and non-parametric test
5.7.1
Asessing Normality
5.7.2
Two-sample Wilcoxon test (or Mann-Whitney U test)
5.7.3
Which test to use?
6
Introduction to regression modelling
6.1
Simple linear regression
6.1.1
Pearson’s coefficient of correlation
6.1.2
Simple linear regression model
6.1.3
Post-hoc assumptions verification
6.2
Multiple linear regression model
6.3
Logistic regression model
6.4
Collinearity
6.5
Detecting (multi-)collinearity
6.5.1
Coefficient of correlation and visual assessment
6.5.2
Variance Inflation Factor
6.5.3
Remedial measures
6.6
Explanatory variable selection
6.6.1
Iterative procedures for explanatory variable selection
6.6.2
Goodness of fit analysis
7
Glossary
References
Published with bookdown
Little e-book for MPH1 biostatistics
Chapter 7
Glossary