Statistics
This page, ‘Statistics’ is the platform for my continuous training in statistics.
What do you think? Comment, criticize, add, ask, answer. Thank you!
From this page I will soon be uploading statistical exercises and cases with worked step-by-step solutions that will be linking to their respective theory pages in ‘My notes on statistics’.
Below, you will find the directory for ‘My notes on statistics’. Each page has a comments module – thanks for your feedback.
My notes on statistics
Probability
- Sample space, events and probabilities
- Complement of an event
- Independent events
- Dependent events
- Mutually exclusive events
- Mutually inclusive events
- Permutations
- Combinations
- Conditional probability
- Law of total probability
- Bayes’ Theorem
Summarizing quantitative data
- Mean, median and mode
- Interquartile range (IQR)
- Variance and standard deviation of a population
- Variance and standard deviation of a sample
Discrete Probability Distribution
- Discrete vs. continuous random variables
- Discrete probability distributions
- Mean, variance and standard deviation
- Mean of sum & difference
- The binomial distribution
- Poisson distribution
- The geometric distribution
- Hypergeometric distribution
Modelling data distributions
- Continuous vs. discrete data
- Density curves
- Significance level
- Critical value
- Z-score
- The p-value
- The Central Limit Theorem
- Skewness and kurtosis
The Normal Distribution
Study design
Confidence intervals
Hypothesis Testing
- Hypothesis testing
- One-tailed tests
- Two-tailed tests
- Proportion hypothesis testing
- Hypothesis test for a mean
- Statistical power
- Power of test calculation
- Chi-square Goodness of Fit Test
Simple linear regression, fundamentals
- Scatter plots
- Correlation coefficient
- Regression line
- Squared errors of line
- Coefficient of determination, r2
Simple linear regression, Inference
- Inference about regression
- The LINER model
- Residual plots
- Standard error of the slope
- Confidence interval for the slope
- Hypothesis test for the slope
- Mean and single response intervals
- Influential points
- Precautions in simple linear regression
- Transformation of data
Two-sample inference for the dif. between groups
ANOVA and the F-distribution

Carsten Grube
Freelance Data Analyst
Normal distribution
Confidence intervals
Simple linear regression, fundamentals
Two-sample inference
ANOVA & the F-distribution

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About me
Learning statistics. Doing statistics. Freelance since 2005. Dane. Living in Spain. With my Spanish wife and two children.
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