Matrix Statistics in Excel with UNISTAT
The UNISTAT statistics add-in extends Excel with Matrix Statistics capabilities.
For further information visit UNISTAT User's Guide section 7.1. Matrix Statistics.
Here we provide a sample output from the UNISTAT Excel statistics add-in for data analysis.
Matrix Statistics
Descriptive Statistics
Valid Number of Cases: 25, 0 Omitted
| AVG | STD | SER | VAR | SUM | SSQ | MIN | MAX | |
|---|---|---|---|---|---|---|---|---|
| Formulation = A | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| B | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| C | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| D | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| Test assemblies = a | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| b | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| c | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| d | 0.2000 | 0.4082 | 0.0816 | 0.1667 | 5.0000 | 5.0000 | 0.0000 | 1.0000 |
| Formulation x Test assemblies = A x a | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| A x b | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| A x c | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| A x d | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| B x a | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| B x b | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| B x c | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| B x d | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| C x a | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| C x b | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| C x c | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| C x d | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| D x a | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| D x b | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| D x c | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| D x d | 0.0400 | 0.2000 | 0.0400 | 0.0400 | 1.0000 | 1.0000 | 0.0000 | 1.0000 |
| Operator | 3.0000 | 1.4434 | 0.2887 | 2.0833 | 75.0000 | 275.0000 | 1.0000 | 5.0000 |
| Batch | 3.0000 | 1.4434 | 0.2887 | 2.0833 | 75.0000 | 275.0000 | 1.0000 | 5.0000 |
| Operator x Batch | 9.0000 | 6.4550 | 1.2910 | 41.6667 | 225.0000 | 3025.0000 | 1.0000 | 25.0000 |
Correlation Matrix
| Formulation = A | B | C | D | Test assemblies = a | b | c | d | Formulation x Test assemblies = A x a | |
|---|---|---|---|---|---|---|---|---|---|
| Formulation = A | 1.0000 | -0.2500 | -0.2500 | -0.2500 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.4082 |
| B | -0.2500 | 1.0000 | -0.2500 | -0.2500 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.1021 |
| C | -0.2500 | -0.2500 | 1.0000 | -0.2500 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.1021 |
| D | -0.2500 | -0.2500 | -0.2500 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.1021 |
| Test assemblies = a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | -0.2500 | -0.2500 | -0.2500 | 0.4082 |
| b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.2500 | 1.0000 | -0.2500 | -0.2500 | -0.1021 |
| c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.2500 | -0.2500 | 1.0000 | -0.2500 | -0.1021 |
| d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.2500 | -0.2500 | -0.2500 | 1.0000 | -0.1021 |
| Formulation x Test assemblies = A x a | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 1.0000 |
| A x b | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.0417 |
| A x c | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.0417 |
| A x d | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.0417 |
| B x a | -0.1021 | 0.4082 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.0417 |
| B x b | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.0417 |
| B x c | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.0417 |
| B x d | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.0417 |
| C x a | -0.1021 | -0.1021 | 0.4082 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.0417 |
| C x b | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.0417 |
| C x c | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.0417 |
| C x d | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.0417 |
| D x a | -0.1021 | -0.1021 | -0.1021 | 0.4082 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.0417 |
| D x b | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.0417 |
| D x c | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.0417 |
| D x d | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.0417 |
| Operator | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.2887 |
| Batch | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.2887 |
| Operator x Batch | 0.0000 | 0.0791 | 0.0791 | 0.0000 | 0.0791 | 0.0000 | 0.0791 | -0.0791 | -0.2582 |
| A x b | A x c | A x d | B x a | B x b | B x c | B x d | C x a | C x b | |
| Formulation = A | 0.4082 | 0.4082 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 |
| B | -0.1021 | -0.1021 | -0.1021 | 0.4082 | 0.4082 | 0.4082 | 0.4082 | -0.1021 | -0.1021 |
| C | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | 0.4082 |
| D | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 |
| Test assemblies = a | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 |
| b | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 |
| c | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 |
| d | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 |
| Formulation x Test assemblies = A x a | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| A x b | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| A x c | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| A x d | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| B x a | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| B x b | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| B x c | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 |
| B x d | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 |
| C x a | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 |
| C x b | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 |
| C x c | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| C x d | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| D x a | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| D x b | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| D x c | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| D x d | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 |
| Operator | -0.1443 | 0.0000 | 0.1443 | 0.2887 | -0.2887 | -0.1443 | 0.0000 | 0.1443 | 0.2887 |
| Batch | 0.2887 | 0.1443 | 0.0000 | 0.0000 | -0.1443 | -0.2887 | 0.2887 | 0.2887 | 0.1443 |
| Operator x Batch | 0.0323 | 0.0968 | 0.0968 | 0.1936 | -0.2259 | -0.2259 | 0.1936 | 0.3550 | 0.3550 |
| C x c | C x d | D x a | D x b | D x c | D x d | Operator | Batch | Operator x Batch | |
| Formulation = A | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.0000 | 0.0000 | 0.0000 |
| B | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.0000 | 0.0000 | 0.0791 |
| C | 0.4082 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | -0.1021 | 0.0000 | 0.0000 | 0.0791 |
| D | -0.1021 | -0.1021 | 0.4082 | 0.4082 | 0.4082 | 0.4082 | 0.0000 | 0.0000 | 0.0000 |
| Test assemblies = a | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.0000 | 0.0000 | 0.0791 |
| b | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | -0.1021 | 0.0000 | 0.0000 | 0.0000 |
| c | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | -0.1021 | 0.0000 | 0.0000 | 0.0791 |
| d | -0.1021 | 0.4082 | -0.1021 | -0.1021 | -0.1021 | 0.4082 | 0.0000 | 0.0000 | -0.0791 |
| Formulation x Test assemblies = A x a | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.2887 | -0.2887 | -0.2582 |
| A x b | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.1443 | 0.2887 | 0.0323 |
| A x c | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 0.0000 | 0.1443 | 0.0968 |
| A x d | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 0.1443 | 0.0000 | 0.0968 |
| B x a | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 0.2887 | 0.0000 | 0.1936 |
| B x b | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.2887 | -0.1443 | -0.2259 |
| B x c | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.1443 | -0.2887 | -0.2259 |
| B x d | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 0.0000 | 0.2887 | 0.1936 |
| C x a | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 0.1443 | 0.2887 | 0.3550 |
| C x b | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 0.2887 | 0.1443 | 0.3550 |
| C x c | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.2887 | 0.0000 | -0.1936 |
| C x d | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.1443 | -0.1443 | -0.1614 |
| D x a | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 | -0.0417 | 0.0000 | -0.1443 | -0.0968 |
| D x b | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 | -0.0417 | 0.1443 | -0.2887 | -0.1614 |
| D x c | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.0417 | 0.2887 | 0.2887 | 0.5164 |
| D x d | -0.0417 | -0.0417 | -0.0417 | -0.0417 | -0.0417 | 1.0000 | -0.2887 | 0.1443 | -0.1614 |
| Operator | -0.2887 | -0.1443 | 0.0000 | 0.1443 | 0.2887 | -0.2887 | 1.0000 | 0.0000 | 0.6708 |
| Batch | 0.0000 | -0.1443 | -0.1443 | -0.2887 | 0.2887 | 0.1443 | 0.0000 | 1.0000 | 0.6708 |
| Operator x Batch | -0.1936 | -0.1614 | -0.0968 | -0.1614 | 0.5164 | -0.1614 | 0.6708 | 0.6708 | 1.0000 |
Covariance Matrix
| Formulation = A | B | C | D | Test assemblies = a | b | c | d | Formulation x Test assemblies = A x a | |
|---|---|---|---|---|---|---|---|---|---|
| Formulation = A | 0.1667 | -0.0417 | -0.0417 | -0.0417 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0333 |
| B | -0.0417 | 0.1667 | -0.0417 | -0.0417 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0083 |
| C | -0.0417 | -0.0417 | 0.1667 | -0.0417 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0083 |
| D | -0.0417 | -0.0417 | -0.0417 | 0.1667 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0083 |
| Test assemblies = a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.1667 | -0.0417 | -0.0417 | -0.0417 | 0.0333 |
| b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0417 | 0.1667 | -0.0417 | -0.0417 | -0.0083 |
| c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0417 | -0.0417 | 0.1667 | -0.0417 | -0.0083 |
| d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0417 | -0.0417 | -0.0417 | 0.1667 | -0.0083 |
| Formulation x Test assemblies = A x a | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0400 |
| A x b | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0017 |
| A x c | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0017 |
| A x d | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0017 |
| B x a | -0.0083 | 0.0333 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0017 |
| B x b | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0017 |
| B x c | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0017 |
| B x d | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0017 |
| C x a | -0.0083 | -0.0083 | 0.0333 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0017 |
| C x b | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0017 |
| C x c | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0017 |
| C x d | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0017 |
| D x a | -0.0083 | -0.0083 | -0.0083 | 0.0333 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0017 |
| D x b | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0017 |
| D x c | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0017 |
| D x d | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0017 |
| Operator | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0833 |
| Batch | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | -0.0833 |
| Operator x Batch | 0.0000 | 0.2083 | 0.2083 | 0.0000 | 0.2083 | 0.0000 | 0.2083 | -0.2083 | -0.3333 |
| A x b | A x c | A x d | B x a | B x b | B x c | B x d | C x a | C x b | |
| Formulation = A | 0.0333 | 0.0333 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 |
| B | -0.0083 | -0.0083 | -0.0083 | 0.0333 | 0.0333 | 0.0333 | 0.0333 | -0.0083 | -0.0083 |
| C | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | 0.0333 |
| D | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 |
| Test assemblies = a | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 |
| b | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 |
| c | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 |
| d | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 |
| Formulation x Test assemblies = A x a | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| A x b | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| A x c | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| A x d | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| B x a | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| B x b | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| B x c | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 |
| B x d | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 |
| C x a | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 |
| C x b | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 |
| C x c | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| C x d | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| D x a | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| D x b | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| D x c | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| D x d | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 |
| Operator | -0.0417 | 0.0000 | 0.0417 | 0.0833 | -0.0833 | -0.0417 | 0.0000 | 0.0417 | 0.0833 |
| Batch | 0.0833 | 0.0417 | 0.0000 | 0.0000 | -0.0417 | -0.0833 | 0.0833 | 0.0833 | 0.0417 |
| Operator x Batch | 0.0417 | 0.1250 | 0.1250 | 0.2500 | -0.2917 | -0.2917 | 0.2500 | 0.4583 | 0.4583 |
| C x c | C x d | D x a | D x b | D x c | D x d | Operator | Batch | Operator x Batch | |
| Formulation = A | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0000 | 0.0000 | 0.0000 |
| B | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0000 | 0.0000 | 0.2083 |
| C | 0.0333 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | -0.0083 | 0.0000 | 0.0000 | 0.2083 |
| D | -0.0083 | -0.0083 | 0.0333 | 0.0333 | 0.0333 | 0.0333 | 0.0000 | 0.0000 | 0.0000 |
| Test assemblies = a | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0000 | 0.0000 | 0.2083 |
| b | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | -0.0083 | 0.0000 | 0.0000 | 0.0000 |
| c | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | -0.0083 | 0.0000 | 0.0000 | 0.2083 |
| d | -0.0083 | 0.0333 | -0.0083 | -0.0083 | -0.0083 | 0.0333 | 0.0000 | 0.0000 | -0.2083 |
| Formulation x Test assemblies = A x a | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0833 | -0.0833 | -0.3333 |
| A x b | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0417 | 0.0833 | 0.0417 |
| A x c | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0000 | 0.0417 | 0.1250 |
| A x d | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0417 | 0.0000 | 0.1250 |
| B x a | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0833 | 0.0000 | 0.2500 |
| B x b | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0833 | -0.0417 | -0.2917 |
| B x c | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0417 | -0.0833 | -0.2917 |
| B x d | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0000 | 0.0833 | 0.2500 |
| C x a | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0417 | 0.0833 | 0.4583 |
| C x b | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0833 | 0.0417 | 0.4583 |
| C x c | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0833 | 0.0000 | -0.2500 |
| C x d | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0417 | -0.0417 | -0.2083 |
| D x a | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 | -0.0017 | 0.0000 | -0.0417 | -0.1250 |
| D x b | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 | -0.0017 | 0.0417 | -0.0833 | -0.2083 |
| D x c | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0017 | 0.0833 | 0.0833 | 0.6667 |
| D x d | -0.0017 | -0.0017 | -0.0017 | -0.0017 | -0.0017 | 0.0400 | -0.0833 | 0.0417 | -0.2083 |
| Operator | -0.0833 | -0.0417 | 0.0000 | 0.0417 | 0.0833 | -0.0833 | 2.0833 | 0.0000 | 6.2500 |
| Batch | 0.0000 | -0.0417 | -0.0417 | -0.0833 | 0.0833 | 0.0417 | 0.0000 | 2.0833 | 6.2500 |
| Operator x Batch | -0.2500 | -0.2083 | -0.1250 | -0.2083 | 0.6667 | -0.2083 | 6.2500 | 6.2500 | 41.6667 |
Moment Matrix
| Formulation = A | B | C | D | Test assemblies = a | b | c | d | Formulation x Test assemblies = A x a | |
|---|---|---|---|---|---|---|---|---|---|
| Formulation = A | 0.2000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0400 |
| B | 0.0000 | 0.2000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 |
| C | 0.0000 | 0.0000 | 0.2000 | 0.0000 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 |
| D | 0.0000 | 0.0000 | 0.0000 | 0.2000 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 |
| Test assemblies = a | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.2000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 |
| b | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 | 0.2000 | 0.0000 | 0.0000 | 0.0000 |
| c | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 | 0.0000 | 0.2000 | 0.0000 | 0.0000 |
| d | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.2000 | 0.0000 |
| Formulation x Test assemblies = A x a | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 |
| A x b | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 |
| A x c | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 |
| A x d | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 |
| B x a | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| B x b | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 |
| B x c | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 |
| B x d | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 |
| C x a | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| C x b | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 |
| C x c | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 |
| C x d | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 |
| D x a | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| D x b | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 |
| D x c | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 |
| D x d | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 |
| Operator | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.0400 |
| Batch | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.6000 | 0.0400 |
| Operator x Batch | 1.8000 | 2.0000 | 2.0000 | 1.8000 | 2.0000 | 1.8000 | 2.0000 | 1.6000 | 0.0400 |
| A x b | A x c | A x d | B x a | B x b | B x c | B x d | C x a | C x b | |
| Formulation = A | 0.0400 | 0.0400 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| B | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.0000 | 0.0000 |
| C | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 |
| D | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Test assemblies = a | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 |
| b | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 |
| c | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 |
| d | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 |
| Formulation x Test assemblies = A x a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| A x b | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| A x c | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| A x d | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| B x a | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| B x b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| B x c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 |
| B x d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 |
| C x a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 |
| C x b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 |
| C x c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| C x d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| D x a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| D x b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| D x c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| D x d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| Operator | 0.0800 | 0.1200 | 0.1600 | 0.2000 | 0.0400 | 0.0800 | 0.1200 | 0.1600 | 0.2000 |
| Batch | 0.2000 | 0.1600 | 0.1200 | 0.1200 | 0.0800 | 0.0400 | 0.2000 | 0.2000 | 0.1600 |
| Operator x Batch | 0.4000 | 0.4800 | 0.4800 | 0.6000 | 0.0800 | 0.0800 | 0.6000 | 0.8000 | 0.8000 |
| C x c | C x d | D x a | D x b | D x c | D x d | Operator | Batch | Operator x Batch | |
| Formulation = A | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.6000 | 0.6000 | 1.8000 |
| B | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.6000 | 0.6000 | 2.0000 |
| C | 0.0400 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.6000 | 0.6000 | 2.0000 |
| D | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.0400 | 0.0400 | 0.6000 | 0.6000 | 1.8000 |
| Test assemblies = a | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.6000 | 0.6000 | 2.0000 |
| b | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.6000 | 0.6000 | 1.8000 |
| c | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.6000 | 0.6000 | 2.0000 |
| d | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.6000 | 0.6000 | 1.6000 |
| Formulation x Test assemblies = A x a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.0400 |
| A x b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0800 | 0.2000 | 0.4000 |
| A x c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.1200 | 0.1600 | 0.4800 |
| A x d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.1600 | 0.1200 | 0.4800 |
| B x a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.2000 | 0.1200 | 0.6000 |
| B x b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0800 | 0.0800 |
| B x c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0800 | 0.0400 | 0.0800 |
| B x d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.1200 | 0.2000 | 0.6000 |
| C x a | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.1600 | 0.2000 | 0.8000 |
| C x b | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.2000 | 0.1600 | 0.8000 |
| C x c | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.1200 | 0.1200 |
| C x d | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0800 | 0.0800 | 0.1600 |
| D x a | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.0000 | 0.1200 | 0.0800 | 0.2400 |
| D x b | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.0000 | 0.1600 | 0.0400 | 0.1600 |
| D x c | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0000 | 0.2000 | 0.2000 | 1.0000 |
| D x d | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0400 | 0.0400 | 0.1600 | 0.1600 |
| Operator | 0.0400 | 0.0800 | 0.1200 | 0.1600 | 0.2000 | 0.0400 | 11.0000 | 9.0000 | 33.0000 |
| Batch | 0.1200 | 0.0800 | 0.0800 | 0.0400 | 0.2000 | 0.1600 | 9.0000 | 11.0000 | 33.0000 |
| Operator x Batch | 0.1200 | 0.1600 | 0.2400 | 0.1600 | 1.0000 | 0.1600 | 33.0000 | 33.0000 | 121.0000 |
Data Matrix
| Formulation = A | B | C | D | Test assemblies = a | b | c | d | Formulation x Test assemblies = A x a | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 |
| 2 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 |
| 3 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 4 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 |
| 5 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 6 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 |
| 7 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 8 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 9 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 |
| 10 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 11 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 |
| 12 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 13 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 |
| 14 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 15 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 16 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 17 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 18 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 |
| 19 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 20 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 |
| 21 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 22 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 |
| 23 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 24 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 25 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 |
| A x b | A x c | A x d | B x a | B x b | B x c | B x d | C x a | C x b | |
| 1 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 2 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 |
| 3 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 4 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 5 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 6 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 7 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 8 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 9 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 10 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 11 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 12 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 13 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 14 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 15 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 16 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 17 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 18 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 19 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 20 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 |
| 21 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 22 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| 23 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 |
| 24 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 |
| 25 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
| C x c | C x d | D x a | D x b | D x c | D x d | Operator | Batch | Operator x Batch | |
| 1 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 1.0000 |
| 2 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 2.0000 | 1.0000 | 2.0000 |
| 3 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 3.0000 | 1.0000 | 3.0000 |
| 4 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 4.0000 | 1.0000 | 4.0000 |
| 5 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 5.0000 | 1.0000 | 5.0000 |
| 6 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 2.0000 | 2.0000 |
| 7 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 2.0000 | 2.0000 | 4.0000 |
| 8 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 3.0000 | 2.0000 | 6.0000 |
| 9 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 4.0000 | 2.0000 | 8.0000 |
| 10 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 5.0000 | 2.0000 | 10.0000 |
| 11 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 3.0000 | 3.0000 |
| 12 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 2.0000 | 3.0000 | 6.0000 |
| 13 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 3.0000 | 3.0000 | 9.0000 |
| 14 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 4.0000 | 3.0000 | 12.0000 |
| 15 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 5.0000 | 3.0000 | 15.0000 |
| 16 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 1.0000 | 4.0000 | 4.0000 |
| 17 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 2.0000 | 4.0000 | 8.0000 |
| 18 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 3.0000 | 4.0000 | 12.0000 |
| 19 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 4.0000 | 4.0000 | 16.0000 |
| 20 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 5.0000 | 4.0000 | 20.0000 |
| 21 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 5.0000 | 5.0000 |
| 22 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 2.0000 | 5.0000 | 10.0000 |
| 23 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 3.0000 | 5.0000 | 15.0000 |
| 24 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 4.0000 | 5.0000 | 20.0000 |
| 25 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 5.0000 | 5.0000 | 25.0000 |