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Statistical Tests (Hypothesis testing of proportions (Two-sample Z test…

- - - - Include tail(s) consistent with Ha
      - Independence, SRS, n1 & n2 normal or large
    - - H0: Distribution A = Distribution B
      - Ha: Distribution A > or < or centred at different place than B
      - 2 independent SRS and continuous data
  - - - SRS, x̅ normal or n large.
      - t obs = x̅ - μ/(s/root n)).
      - Include tail(s) consistent with Ha
    - - Ha: Population median =/= value (or appropriate tail)
      - H0: Population median = value
      - SRS & continuous data
  - - - Y(ij) = μ + a(ij) + B(ij) + aB(ij) + e
      - Follows distribution with N(μ(ij), σ
      - Three F-tests: effect of a, effect of B, interaction effect of aB
    - - Bonferroni correction: Tends to be overly conservative
      - Tukey's HSD Test: More accurate (less conservative)
    - - H0: all μ's equal
      - F obs = MS(treatments)/MS(error)
      - Independent SRSs, normality/large n, constant σ
      - Follows F distribution with df = (m - 1, m(n-1))