Hypotheses Testing

Hypotheses for single-sample sign test

H_o: Median = X

H₁: Median ≠ X

Hypotheses for single-sample Wilcoxon signed-rank test

H_o: Median = X

H₁: Median ≠ X

Hypotheses for matched-pairs (paired-sample) test

H_o: Median = X

H₁: Median ≠ X

or

H_o: The distribution of x to do x is the same

H₁: The distribution of x to do x is different

Hypotheses for Wilcoxon rank-sum test

H_o: Median = X

H₁: Median ≠ X

or

H_o: The distribution of x to do x is the same

H₁: The distribution of x to do x is different

Hypotheses for PPMCC

H_o: ρ = 0

H₁: ρ ≠ 0

Hypothesis for Spearman’s rank

H_o: There is no association between x and y

H₁: There is an association between x and y

Hypotheses for chi-squared tests / contingency tables

H_o: the two variables are independent

H₁: the two variables are dependent

Hypotheses for goodness-of-fit tests

H₀: The underlying population follows the given distribution

H₁: The underlying population does not follow the given distribution

ITS SWITCHED AROUND