H_{0}: Δ ≤ δ_{1} | The difference (Δ) between the mean of the test population and the mean of the reference population is less than or equal to the lower equivalence limit (δ_{1}). |
H_{0}: Δ ≥ δ_{2} | The difference (Δ) between the mean of the test population and the mean of the reference population is greater than or equal to the upper equivalence limit (δ_{2}). |
H_{1}: δ_{1}< Δ < δ_{2} | The difference (Δ) between the mean of the test population and the mean of the reference population is greater than the lower equivalence limit (δ_{1}) and less than the upper equivalence limit (δ_{2}). |
Option | Hypotheses |
---|---|
Test mean > reference mean | H_{0}: Test mean – reference mean (Δ) ≤ 0
H_{1}: Test mean – reference mean (Δ) > 0 |
Test mean < reference mean | H_{0}: Test mean – reference mean (Δ) ≥ 0
H_{1}: Test mean – reference mean (Δ) < 0 |
Test mean - reference mean > lower limit | H_{0}: Test mean – reference mean (Δ) ≤ δ_{1}
H_{1}: Test mean – reference mean (Δ) > δ_{1} |
Test mean - reference mean < upper limit | H_{0}: Test mean – reference mean (Δ) ≥ δ_{2}
H_{1}: Test mean – reference mean (Δ) < δ_{2} |
If you select a hypothesis about the ratio of the test mean to the reference mean, Minitab tests two separate null hypotheses for the equivalence test.
H_{0}: ρ ≤ δ_{1} | The ratio (ρ) of the mean of the test population to the mean of the reference population is less than or equal to the lower equivalence limit (δ_{1}). |
H_{0}: ρ ≥ δ_{2} | The ratio (ρ) of the mean of the test population to the mean of the reference population is greater than or equal to the upper equivalence limit (δ_{2}). |
H_{1}: δ_{1}< ρ < δ_{2} | The ratio (ρ) of the mean of the test population to the mean of the reference population is greater than the lower equivalence limit (δ_{1}) and less than the upper equivalence limit (δ_{2}). |
Option | Hypotheses |
---|---|
Test mean / reference mean > lower limit | H_{0}: Test mean / reference mean (ρ) ≤ δ_{1}
H_{1}: Test mean / reference mean (ρ) > δ_{1} |
Test mean / reference mean < upper limit | H_{0}: Test mean / reference mean (ρ) ≥ δ_{2}
H_{1}: Test mean / reference mean (ρ) < δ_{2} |
If you select a hypothesis about the ratio of the test mean to the reference mean using a log transformation, Minitab tests two separate null hypotheses for the equivalence test.
H_{0}: ρ ≤ δ_{1} | The ratio (ρ) of the mean of the test population to the mean of the reference population is less than or equal to the lower equivalence limit (δ_{1}). |
H_{0}: ρ ≥ δ_{2} | The ratio (ρ) of the mean of the test population to the mean of the reference population is greater than or equal to the upper equivalence limit (δ_{2}). |
H_{1}: δ_{1}< ρ < δ_{2} | The ratio (ρ) of the mean of the test population to the mean of the reference population is greater than the lower equivalence limit (δ_{1}) and less than the upper equivalence limit (δ_{2}). |
Option | Hypotheses |
---|---|
Test mean / reference mean > lower limit | H_{0}: Test mean / reference mean (ρ) ≤ δ_{1}
H_{1}: Test mean / reference mean (ρ) > δ_{1} |
Test mean / reference mean < upper limit | H_{0}: Test mean / reference mean (ρ) ≥ δ_{2}
H_{1}: Test mean / reference mean (ρ) < δ_{2} |