Statistical Methods

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Statistical Methods

  1. Introduction: Data
  2. Summarising data
  3. Probability intro
  4. Discrete probability distributions
  5. Continuous probability distribution
  6. Sampling distributions & estimators
  7. Hypothesis testing
  8. Relationships between variables
  9. Testing characteristics of samples (goodness-of-fit, independence, homogeneity)

Overview of statistical methods:

Categorical dataNumerical data
inference about one populationconfidence interval for p.
z test for one proportion p. goodness-of-fit test
confidence interval for μ.
t test for mean
inference about two populationsconfidence interval for p₁ - p₂
Z test for two proportions
t test for matched pairs
t test for independent samples
relationship between two variableschi-square test of independence
Fisher’s exact test
t test of correlation
simple linear regression
comparing more than 2 populationschi-square test for homogeneity