Truth table – configurations and distribution of cases with logical remainders
| X1 | X2 | X3 | X4 | N of cases | Y | Raw consistency | PRI consistency | Cases |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 0 | 0 | 1 | 1 | 1.000 | 1.000 | 1 |
| 1 | 0 | 0 | 1 | 1 | 1 | 1.000 | 1.000 | 11 |
| 1 | 1 | 0 | 1 | 1 | 1 | 1.000 | 1.000 | 17 |
| 1 | 1 | 1 | 1 | 7 | 1 | 0.948 | 0.924 | 2, 6, 8, 9, 10, 14, 16 |
| 1 | 1 | 1 | 0 | 2 | 1 | 0.890 | 0.802 | 12, 15 |
| 1 | 0 | 1 | 0 | 1 | 1 | 0.858 | 0.670 | 4 |
| 1 | 0 | 1 | 1 | 2 | 0 | 0.698 | 0.395 | 3, 13 |
| 0 | 0 | 1 | 1 | 2 | 0 | 0.567 | 0.246 | 5, 7 |
| 0 | 0 | 0 | 0 | 0 | R | |||
| 0 | 0 | 1 | 0 | 0 | R | |||
| 1 | 0 | 0 | 0 | 0 | R | |||
| 0 | 1 | 0 | 0 | 0 | R | |||
| 0 | 1 | 1 | 0 | 0 | R | |||
| 0 | 0 | 0 | 1 | 0 | R | |||
| 0 | 1 | 0 | 1 | 0 | R | |||
| 0 | 1 | 1 | 1 | 0 | R |
| X1 | X2 | X3 | X4 | N of cases | Y | Raw consistency | PRI consistency | Cases |
|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 0 | 0 | 1 | 1 | 1.000 | 1.000 | 1 |
| 1 | 0 | 0 | 1 | 1 | 1 | 1.000 | 1.000 | 11 |
| 1 | 1 | 0 | 1 | 1 | 1 | 1.000 | 1.000 | 17 |
| 1 | 1 | 1 | 1 | 7 | 1 | 0.948 | 0.924 | 2, 6, 8, 9, 10, 14, 16 |
| 1 | 1 | 1 | 0 | 2 | 1 | 0.890 | 0.802 | 12, 15 |
| 1 | 0 | 1 | 0 | 1 | 1 | 0.858 | 0.670 | 4 |
| 1 | 0 | 1 | 1 | 2 | 0 | 0.698 | 0.395 | 3, 13 |
| 0 | 0 | 1 | 1 | 2 | 0 | 0.567 | 0.246 | 5, 7 |
| 0 | 0 | 0 | 0 | 0 | R | |||
| 0 | 0 | 1 | 0 | 0 | R | |||
| 1 | 0 | 0 | 0 | 0 | R | |||
| 0 | 1 | 0 | 0 | 0 | R | |||
| 0 | 1 | 1 | 0 | 0 | R | |||
| 0 | 0 | 0 | 1 | 0 | R | |||
| 0 | 1 | 0 | 1 | 0 | R | |||
| 0 | 1 | 1 | 1 | 0 | R |
Note(s): Raw consistency can be defined as the proportion of cases in each truth table row that displays the outcome while PRI consistency and SYM consistency are alternative measures of consistency. Logical remainders were not observed and were coded with R
Source(s): Authors own work