| ANOVA Model | ||||||||||||||||
| Response ~ Treatment_A * Treatment_B | ||||||||||||||||
| means | 1 | 0 | 0 | 0 | 0 | 0.25 | 0.714 | 0 | NA | 0 | -0.028 | -0.25 | 0.15 | -0.589 | -0.714 | -0.381 |
| ANOVA Statistics | |||||
| Df | Sum Sq | Mean Sq | F value | Pr(>F) | |
| 3 | |||||
| Treatment_A | 3 | 0.949 | 0.316 | 6.793 | 0 |
| Treatment_B | 3 | 2.235 | 0.745 | 15.993 | 0 |
| Treatment_A:Treatment_B | 3 | 1.404 | 0.176 | 3.768 | 0.001 |
| Residuals | 139 | 6.476 | 0.047 | ||
| Tukey Honest Significant Difference Comparisons | ||||
| diff | lwr | upr | p adj | |
| 2-1 | -0.213 | -0.35 | -0.077 | 0 |
| 3-1 | -0.261 | -0.44 | -0.081 | 0.001 |
| 4-1 | -0.202 | -0.343 | -0.061 | 0.002 |
| 3-2 | -0.048 | -0.201 | 0.106 | 0.851 |
| 4-2 | 0.011 | -0.095 | 0.117 | 0.993 |
| 4-3 | 0.059 | -0.098 | 0.216 | 0.765 |
| 2-1 | -0.011 | -0.148 | 0.125 | 0.996 |
| 3-1 | 0.199 | 0.072 | 0.326 | 0 |
| 4-1 | 0.301 | 0.162 | 0.44 | 0 |
| 3-2 | 0.211 | 0.044 | 0.377 | 0.007 |
| 4-2 | 0.312 | 0.137 | 0.487 | 0 |
| 4-3 | 0.101 | -0.067 | 0.27 | 0.401 |
| 2:1-1:1 | 0 | -0.282 | 0.282 | 1 |
| 3:1-1:1 | 0 | -0.366 | 0.366 | 1 |
| 4:1-1:1 | 0 | -0.28 | 0.28 | 1 |
| 1:2-1:1 | 0 | -0.502 | 0.502 | 1 |
| 2:2-1:1 | 0 | -0.332 | 0.332 | 1 |
| 3:2-1:1 | NA | NA | NA | NA |
| 4:2-1:1 | 0 | -0.397 | 0.397 | 1 |
| 1:3-1:1 | 0.25 | -0.203 | 0.703 | 0.859 |
| 2:3-1:1 | 0.222 | -0.133 | 0.577 | 0.707 |
| 3:3-1:1 | 0 | -0.38 | 0.38 | 1 |
| 4:3-1:1 | 0.4 | -0.02 | 0.82 | 0.081 |
| 1:4-1:1 | 0.714 | 0.335 | 1.094 | 0 |
| 2:4-1:1 | 0.125 | -0.241 | 0.491 | 0.998 |
| 3:4-1:1 | 0 | -0.589 | 0.589 | 1 |
| 4:4-1:1 | 0.333 | -0.169 | 0.836 | 0.612 |
| 3:1-2:1 | 0 | -0.296 | 0.296 | 1 |
| 4:1-2:1 | 0 | -0.179 | 0.179 | 1 |
| 1:2-2:1 | 0 | -0.454 | 0.454 | 1 |
| 2:2-2:1 | 0 | -0.253 | 0.253 | 1 |
| 3:2-2:1 | NA | NA | NA | NA |
| 4:2-2:1 | 0 | -0.334 | 0.334 | 1 |
| 1:3-2:1 | 0.25 | -0.148 | 0.648 | 0.702 |
| 2:3-2:1 | 0.222 | -0.06 | 0.505 | 0.313 |
| 3:3-2:1 | 0 | -0.313 | 0.313 | 1 |
| 4:3-2:1 | 0.4 | 0.039 | 0.761 | 0.015 |
| 1:4-2:1 | 0.714 | 0.402 | 1.027 | 0 |
| 2:4-2:1 | 0.125 | -0.171 | 0.421 | 0.984 |
| 3:4-2:1 | 0 | -0.548 | 0.548 | 1 |
| 4:4-2:1 | 0.333 | -0.12 | 0.787 | 0.432 |
| 4:1-3:1 | 0 | -0.294 | 0.294 | 1 |
| 1:2-3:1 | 0 | -0.51 | 0.51 | 1 |
| 2:2-3:1 | 0 | -0.344 | 0.344 | 1 |
| 3:2-3:1 | NA | NA | NA | NA |
| 4:2-3:1 | 0 | -0.407 | 0.407 | 1 |
| 1:3-3:1 | 0.25 | -0.211 | 0.711 | 0.875 |
| 2:3-3:1 | 0.222 | -0.144 | 0.588 | 0.75 |
| 3:3-3:1 | 0 | -0.39 | 0.39 | 1 |
| 4:3-3:1 | 0.4 | -0.029 | 0.829 | 0.098 |
| 1:4-3:1 | 0.714 | 0.324 | 1.104 | 0 |
| 2:4-3:1 | 0.125 | -0.252 | 0.502 | 0.999 |
| 3:4-3:1 | 0 | -0.596 | 0.596 | 1 |
| 4:4-3:1 | 0.333 | -0.177 | 0.843 | 0.638 |
| 1:2-4:1 | 0 | -0.452 | 0.452 | 1 |
| 2:2-4:1 | 0 | -0.25 | 0.25 | 1 |
| 3:2-4:1 | NA | NA | NA | NA |
| 4:2-4:1 | 0 | -0.332 | 0.332 | 1 |
| 1:3-4:1 | 0.25 | -0.146 | 0.646 | 0.695 |
| 2:3-4:1 | 0.222 | -0.058 | 0.502 | 0.299 |
| 3:3-4:1 | 0 | -0.31 | 0.31 | 1 |
| 4:3-4:1 | 0.4 | 0.041 | 0.759 | 0.014 |
| 1:4-4:1 | 0.714 | 0.404 | 1.025 | 0 |
| 2:4-4:1 | 0.125 | -0.169 | 0.419 | 0.983 |
| 3:4-4:1 | 0 | -0.547 | 0.547 | 1 |
| 4:4-4:1 | 0.333 | -0.119 | 0.786 | 0.426 |
| 2:2-1:2 | 0 | -0.486 | 0.486 | 1 |
| 3:2-1:2 | NA | NA | NA | NA |
| 4:2-1:2 | 0 | -0.533 | 0.533 | 1 |
| 1:3-1:2 | 0.25 | -0.325 | 0.825 | 0.979 |
| 2:3-1:2 | 0.222 | -0.28 | 0.724 | 0.975 |
| 3:3-1:2 | 0 | -0.52 | 0.52 | 1 |
| 4:3-1:2 | 0.4 | -0.15 | 0.95 | 0.451 |
| 1:4-1:2 | 0.714 | 0.194 | 1.234 | 0 |
| 2:4-1:2 | 0.125 | -0.385 | 0.635 | 1 |
| 3:4-1:2 | 0 | -0.688 | 0.688 | 1 |
| 4:4-1:2 | 0.333 | -0.282 | 0.948 | 0.875 |
| 3:2-2:2 | NA | NA | NA | NA |
| 4:2-2:2 | 0 | -0.377 | 0.377 | 1 |
| 1:3-2:2 | 0.25 | -0.185 | 0.685 | 0.818 |
| 2:3-2:2 | 0.222 | -0.11 | 0.554 | 0.599 |
| 3:3-2:2 | 0 | -0.358 | 0.358 | 1 |
| 4:3-2:2 | 0.4 | -0.001 | 0.801 | 0.051 |
| 1:4-2:2 | 0.714 | 0.356 | 1.073 | 0 |
| 2:4-2:2 | 0.125 | -0.219 | 0.469 | 0.996 |
| 3:4-2:2 | 0 | -0.575 | 0.575 | 1 |
| 4:4-2:2 | 0.333 | -0.153 | 0.82 | 0.556 |
| 4:2-3:2 | NA | NA | NA | NA |
| 1:3-3:2 | NA | NA | NA | NA |
| 2:3-3:2 | NA | NA | NA | NA |
| 3:3-3:2 | NA | NA | NA | NA |
| 4:3-3:2 | NA | NA | NA | NA |
| 1:4-3:2 | NA | NA | NA | NA |
| 2:4-3:2 | NA | NA | NA | NA |
| 3:4-3:2 | NA | NA | NA | NA |
| 4:4-3:2 | NA | NA | NA | NA |
| 1:3-4:2 | 0.25 | -0.236 | 0.736 | 0.914 |
| 2:3-4:2 | 0.222 | -0.175 | 0.619 | 0.846 |
| 3:3-4:2 | 0 | -0.419 | 0.419 | 1 |
| 4:3-4:2 | 0.4 | -0.056 | 0.856 | 0.159 |
| 1:4-4:2 | 0.714 | 0.295 | 1.133 | 0 |
| 2:4-4:2 | 0.125 | -0.282 | 0.532 | 0.999 |
| 3:4-4:2 | 0 | -0.615 | 0.615 | 1 |
| 4:4-4:2 | 0.333 | -0.199 | 0.866 | 0.707 |
| 2:3-1:3 | -0.028 | -0.48 | 0.425 | 1 |
| 3:3-1:3 | -0.25 | -0.722 | 0.222 | 0.894 |
| 4:3-1:3 | 0.15 | -0.355 | 0.655 | 1 |
| 1:4-1:3 | 0.464 | -0.008 | 0.936 | 0.059 |
| 2:4-1:3 | -0.125 | -0.586 | 0.336 | 1 |
| 3:4-1:3 | -0.25 | -0.902 | 0.402 | 0.994 |
| 4:4-1:3 | 0.083 | -0.492 | 0.659 | 1 |
| 3:3-2:3 | -0.222 | -0.602 | 0.157 | 0.797 |
| 4:3-2:3 | 0.178 | -0.242 | 0.598 | 0.983 |
| 1:4-2:3 | 0.492 | 0.112 | 0.872 | 0.001 |
| 2:4-2:3 | -0.097 | -0.463 | 0.269 | 1 |
| 3:4-2:3 | -0.222 | -0.811 | 0.367 | 0.995 |
| 4:4-2:3 | 0.111 | -0.391 | 0.613 | 1 |
| 4:3-3:3 | 0.4 | -0.041 | 0.841 | 0.123 |
| 1:4-3:3 | 0.714 | 0.312 | 1.117 | 0 |
| 2:4-3:3 | 0.125 | -0.265 | 0.515 | 0.999 |
| 3:4-3:3 | 0 | -0.604 | 0.604 | 1 |
| 4:4-3:3 | 0.333 | -0.186 | 0.853 | 0.669 |
| 1:4-4:3 | 0.314 | -0.127 | 0.755 | 0.487 |
| 2:4-4:3 | -0.275 | -0.704 | 0.154 | 0.671 |
| 3:4-4:3 | -0.4 | -1.03 | 0.23 | 0.685 |
| 4:4-4:3 | -0.067 | -0.617 | 0.483 | 1 |
| 2:4-1:4 | -0.589 | -0.979 | -0.199 | 0 |
| 3:4-1:4 | -0.714 | -1.318 | -0.11 | 0.006 |
| 4:4-1:4 | -0.381 | -0.901 | 0.139 | 0.437 |
| 3:4-2:4 | -0.125 | -0.721 | 0.471 | 1 |
| 4:4-2:4 | 0.208 | -0.302 | 0.718 | 0.988 |
| 4:4-3:4 | 0.333 | -0.354 | 1.021 | 0.946 |
| Levenes Test for Homogeneity of Variance | |||
| Df | F value | Pr(>F) | |
| Group | 14 | 3.064 | 0 |
| 139 | |||
