From: Power estimation of tests in log-linear non-uniform association models for ordinal agreement
Hypothesis | Association parameters | Distinguishability patterns |
---|---|---|
H 0 | All association parameters are equal | |
β 1,2 = β 2,3 = β 3,4 = β 4,5 = log(3) | 1 ---- 2 ---- 3 ---- 4 ---- 5 | |
| 1 association parameter is different | |
| β 1,2 ≠ β 2,3 = β 3,4 = β 4,5 = log(3) | 1 - 2 ---- 3 ---- 4 ---- 5 1-------- 2 - 3 - 4 ---- 5 |
| β 2,3 ≠ β 1,2 = β 3,4 = β 4,5 = log(3) | 1 ---- 2 - 3 ---- 4 ---- 5 1 -- 2-------- 3 - 4 -- 5 |
| Β 3,4 ≠ β 1,2 = β 2,3 = β 4,5 = log(3) | 1------ 2 -- 3 - 4 -- 5 1 -- 2 - 3 ------ 4 - 5 |
| Β 4,5 ≠ β 1,2 = β 2,3 = β 3,4 = log(3) | 1 ---- 2 ---- 3 ---- 4 - 5 1 - 2 -- 3 - 4 ---------- 5 |
| 2 association parameters are different | |
| β 1,2 = β 2,3 ≠ β 3,4 = β 4,5 = log(3) | 1-2 - 3------4------5 1------2------ 3-4-5 |
| β 1,2 = β 4,3 ≠ β 2,3 = β 3,4 = log(3) | 1--2---- 3---- 4--5 1 ---- 2 - 3 - 4 ---- 5 |
All association parameters are different | ||
| β 1,2 ≠ β 2,3 ≠ β 3,4 ≠ β 4,5 | 1 - 2 ---- 3 -- 4 ------ 5 |