Term | Description |
---|---|
D | Difference |
Test mean |
Term | Description |
---|---|
s | Standard deviation of the observations |
n | Number of observations |
Term | Description |
---|---|
v | Degrees of freedom |
n | Number of observations |
By default, Minitab uses the following formula to calculate the 100(1 – α)% confidence interval (CI) for the difference:
CI = [min(C, Dl), max(C, Du)]
where:
If you select the option to use the 100(1 – 2 α)% CI, then the CI is given by the following formula:
CI = [Dl, Du]
For a hypotheses of Test mean > target, or Test mean - target > lower limit, the 100(1 – α)% lower bound is equal to DL.
For a hypothesis of Test mean < target, or Test mean - target < upper limit, the 100(1 – α)% upper bound is equal to DU.
Term | Description |
---|---|
D | Difference between the mean of the test sample and the target value |
SE | Standard error |
δ1 | Lower equivalence limit |
δ2 | Upper equivalence limit |
v | Degrees of freedom |
α | Significance level for the test |
t1 – α, v | Upper 1 – α critical value for a t-distribution with v degrees of freedom |
For a hypothesis of Test mean > target, δ1= 0.
For a hypothesis of Test mean < target, δ2= 0.
Term | Description |
---|---|
D | Difference between the mean of the test sample and the target value |
SE | Standard error of the difference |
δ1 | Lower equivalence limit |
δ2 | Upper equivalence limit |
The probability, PH0, for each null hypothesis (H0) is given by the following:
H0 | P-Value |
---|---|
Term | Description |
---|---|
Unknown difference between the mean of the test population and the target value | |
δ1 | Lower equivalence limit |
δ2 | Upper equivalence limit |
v | Degrees of freedom |
T | t distribution with v degrees of freedom |
t1 | The t-value for the hypothesis |
t2 | The t- value for the hypothesis |
For information on how the t-values are calculated, see the section on t-values.