Statistics

From this page I will soon be uploading statistical exercises and cases with worked step-by-step solutions all linking to their respective theory in ‘My notes on statistics’.

Below, you will find the directory for ‘My notes on statistics’. Thanks for leaving me your feedback and questionsin the comment modules.

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

• The normal distribution
• The Empirical Rule
• Z-table for proportions
• Student’s t-distribution

Study design

• Statistical questions
• Census and sampling
• Non-probability sampling
• Probability sampling
• Bias

Confidence intervals

• Confidence intervals
• Confidence interval for a population
• Confidence interval for a mean

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

• Comparing two proportions
• Comparing two means
• Pooled variance t-procedure

ANOVA and the F-distribution

• One-way ANOVA
• Multiple comparison testing in ANOVA
• Two-way ANOVA

Connect with me