| ANOVA Model | ||||||||||||||||||||||||
| Response ~ Treatment_A * Treatment_B | ||||||||||||||||||||||||
| means | 1 | 0 | 0 | 0 | 0 | 0.091 | 0.667 | 0.333 | 0.75 | 0 | NA | 0 | 0.076 | -0.091 | -0.019 | -0.583 | NA | -0.667 | -0.333 | -0.333 | NA | -0.75 | -0.75 | -0.25 |
| ANOVA Statistics | |||||
| Df | Sum Sq | Mean Sq | F value | Pr(>F) | |
| 3 | |||||
| Treatment_A | 3 | 0.949 | 0.316 | 6.01 | 0.001 |
| Treatment_B | 3 | 1.485 | 0.297 | 5.639 | 0 |
| Treatment_A:Treatment_B | 3 | 1.626 | 0.136 | 2.573 | 0.004 |
| Residuals | 133 | 7.004 | 0.053 | ||
| Tukey Honest Significant Difference Comparisons | ||||
| diff | lwr | upr | p adj | |
| 2-1 | -0.213 | -0.359 | -0.068 | 0.001 |
| 3-1 | -0.261 | -0.452 | -0.07 | 0.003 |
| 4-1 | -0.202 | -0.352 | -0.052 | 0.003 |
| 3-2 | -0.048 | -0.211 | 0.116 | 0.873 |
| 4-2 | 0.011 | -0.101 | 0.124 | 0.994 |
| 4-3 | 0.059 | -0.108 | 0.226 | 0.797 |
| 2-1 | -0.04 | -0.231 | 0.151 | 0.991 |
| 3-1 | 0.048 | -0.085 | 0.181 | 0.9 |
| 4-1 | 0.144 | -0.037 | 0.326 | 0.203 |
| 5-1 | 0.135 | -0.101 | 0.372 | 0.565 |
| 6-1 | 0.365 | 0.128 | 0.601 | 0 |
| 3-2 | 0.088 | -0.112 | 0.287 | 0.8 |
| 4-2 | 0.184 | -0.051 | 0.419 | 0.217 |
| 5-2 | 0.175 | -0.105 | 0.455 | 0.464 |
| 6-2 | 0.404 | 0.124 | 0.684 | 0.001 |
| 4-3 | 0.096 | -0.095 | 0.287 | 0.691 |
| 5-3 | 0.087 | -0.157 | 0.331 | 0.905 |
| 6-3 | 0.316 | 0.073 | 0.56 | 0.003 |
| 5-4 | -0.009 | -0.283 | 0.265 | 1 |
| 6-4 | 0.22 | -0.053 | 0.494 | 0.19 |
| 6-5 | 0.229 | -0.084 | 0.542 | 0.284 |
| 2:1-1:1 | 0 | -0.623 | 0.623 | 1 |
| 3:1-1:1 | 0 | -0.696 | 0.696 | 1 |
| 4:1-1:1 | 0 | -0.627 | 0.627 | 1 |
| 1:2-1:1 | 0 | -0.778 | 0.778 | 1 |
| 2:2-1:1 | 0 | -0.684 | 0.684 | 1 |
| 3:2-1:1 | NA | NA | NA | NA |
| 4:2-1:1 | 0 | -0.713 | 0.713 | 1 |
| 1:3-1:1 | 0.091 | -0.564 | 0.746 | 1 |
| 2:3-1:1 | 0.167 | -0.485 | 0.818 | 1 |
| 3:3-1:1 | 0 | -0.713 | 0.713 | 1 |
| 4:3-1:1 | 0.071 | -0.573 | 0.716 | 1 |
| 1:4-1:1 | 0.667 | -0.112 | 1.445 | 0.21 |
| 2:4-1:1 | 0.083 | -0.568 | 0.735 | 1 |
| 3:4-1:1 | NA | NA | NA | NA |
| 4:4-1:1 | 0 | -0.853 | 0.853 | 1 |
| 1:5-1:1 | NA | NA | NA | NA |
| 2:5-1:1 | 0 | -0.853 | 0.853 | 1 |
| 3:5-1:1 | 0 | -0.738 | 0.738 | 1 |
| 4:5-1:1 | 0.333 | -0.445 | 1.112 | 0.996 |
| 1:6-1:1 | 0.75 | 0.012 | 1.488 | 0.042 |
| 2:6-1:1 | 0 | -1.044 | 1.044 | 1 |
| 3:6-1:1 | 0 | -0.853 | 0.853 | 1 |
| 4:6-1:1 | 0.5 | -0.353 | 1.353 | 0.873 |
| 3:1-2:1 | 0 | -0.382 | 0.382 | 1 |
| 4:1-2:1 | 0 | -0.233 | 0.233 | 1 |
| 1:2-2:1 | 0 | -0.517 | 0.517 | 1 |
| 2:2-2:1 | 0 | -0.359 | 0.359 | 1 |
| 3:2-2:1 | NA | NA | NA | NA |
| 4:2-2:1 | 0 | -0.413 | 0.413 | 1 |
| 1:3-2:1 | 0.091 | -0.211 | 0.393 | 1 |
| 2:3-2:1 | 0.167 | -0.126 | 0.459 | 0.901 |
| 3:3-2:1 | 0 | -0.413 | 0.413 | 1 |
| 4:3-2:1 | 0.071 | -0.206 | 0.349 | 1 |
| 1:4-2:1 | 0.667 | 0.15 | 1.184 | 0.001 |
| 2:4-2:1 | 0.083 | -0.209 | 0.376 | 1 |
| 3:4-2:1 | NA | NA | NA | NA |
| 4:4-2:1 | 0 | -0.623 | 0.623 | 1 |
| 1:5-2:1 | NA | NA | NA | NA |
| 2:5-2:1 | 0 | -0.623 | 0.623 | 1 |
| 3:5-2:1 | 0 | -0.455 | 0.455 | 1 |
| 4:5-2:1 | 0.333 | -0.184 | 0.85 | 0.748 |
| 1:6-2:1 | 0.75 | 0.295 | 1.205 | 0 |
| 2:6-2:1 | 0 | -0.867 | 0.867 | 1 |
| 3:6-2:1 | 0 | -0.623 | 0.623 | 1 |
| 4:6-2:1 | 0.5 | -0.123 | 1.123 | 0.323 |
| 4:1-3:1 | 0 | -0.388 | 0.388 | 1 |
| 1:2-3:1 | 0 | -0.603 | 0.603 | 1 |
| 2:2-3:1 | 0 | -0.474 | 0.474 | 1 |
| 3:2-3:1 | NA | NA | NA | NA |
| 4:2-3:1 | 0 | -0.516 | 0.516 | 1 |
| 1:3-3:1 | 0.091 | -0.342 | 0.524 | 1 |
| 2:3-3:1 | 0.167 | -0.26 | 0.593 | 0.999 |
| 3:3-3:1 | 0 | -0.516 | 0.516 | 1 |
| 4:3-3:1 | 0.071 | -0.345 | 0.487 | 1 |
| 1:4-3:1 | 0.667 | 0.064 | 1.27 | 0.014 |
| 2:4-3:1 | 0.083 | -0.343 | 0.51 | 1 |
| 3:4-3:1 | NA | NA | NA | NA |
| 4:4-3:1 | 0 | -0.696 | 0.696 | 1 |
| 1:5-3:1 | NA | NA | NA | NA |
| 2:5-3:1 | 0 | -0.696 | 0.696 | 1 |
| 3:5-3:1 | 0 | -0.55 | 0.55 | 1 |
| 4:5-3:1 | 0.333 | -0.27 | 0.936 | 0.924 |
| 1:6-3:1 | 0.75 | 0.2 | 1.3 | 0 |
| 2:6-3:1 | 0 | -0.921 | 0.921 | 1 |
| 3:6-3:1 | 0 | -0.696 | 0.696 | 1 |
| 4:6-3:1 | 0.5 | -0.196 | 1.196 | 0.546 |
| 1:2-4:1 | 0 | -0.521 | 0.521 | 1 |
| 2:2-4:1 | 0 | -0.365 | 0.365 | 1 |
| 3:2-4:1 | NA | NA | NA | NA |
| 4:2-4:1 | 0 | -0.418 | 0.418 | 1 |
| 1:3-4:1 | 0.091 | -0.218 | 0.399 | 1 |
| 2:3-4:1 | 0.167 | -0.133 | 0.466 | 0.919 |
| 3:3-4:1 | 0 | -0.418 | 0.418 | 1 |
| 4:3-4:1 | 0.071 | -0.213 | 0.356 | 1 |
| 1:4-4:1 | 0.667 | 0.146 | 1.188 | 0.001 |
| 2:4-4:1 | 0.083 | -0.216 | 0.383 | 1 |
| 3:4-4:1 | NA | NA | NA | NA |
| 4:4-4:1 | 0 | -0.627 | 0.627 | 1 |
| 1:5-4:1 | NA | NA | NA | NA |
| 2:5-4:1 | 0 | -0.627 | 0.627 | 1 |
| 3:5-4:1 | 0 | -0.459 | 0.459 | 1 |
| 4:5-4:1 | 0.333 | -0.188 | 0.854 | 0.76 |
| 1:6-4:1 | 0.75 | 0.291 | 1.209 | 0 |
| 2:6-4:1 | 0 | -0.869 | 0.869 | 1 |
| 3:6-4:1 | 0 | -0.627 | 0.627 | 1 |
| 4:6-4:1 | 0.5 | -0.127 | 1.127 | 0.332 |
| 2:2-1:2 | 0 | -0.588 | 0.588 | 1 |
| 3:2-1:2 | NA | NA | NA | NA |
| 4:2-1:2 | 0 | -0.623 | 0.623 | 1 |
| 1:3-1:2 | 0.091 | -0.464 | 0.646 | 1 |
| 2:3-1:2 | 0.167 | -0.384 | 0.717 | 1 |
| 3:3-1:2 | 0 | -0.623 | 0.623 | 1 |
| 4:3-1:2 | 0.071 | -0.471 | 0.614 | 1 |
| 1:4-1:2 | 0.667 | -0.029 | 1.363 | 0.079 |
| 2:4-1:2 | 0.083 | -0.467 | 0.634 | 1 |
| 3:4-1:2 | NA | NA | NA | NA |
| 4:4-1:2 | 0 | -0.778 | 0.778 | 1 |
| 1:5-1:2 | NA | NA | NA | NA |
| 2:5-1:2 | 0 | -0.778 | 0.778 | 1 |
| 3:5-1:2 | 0 | -0.651 | 0.651 | 1 |
| 4:5-1:2 | 0.333 | -0.363 | 1.029 | 0.983 |
| 1:6-1:2 | 0.75 | 0.099 | 1.401 | 0.008 |
| 2:6-1:2 | 0 | -0.984 | 0.984 | 1 |
| 3:6-1:2 | 0 | -0.778 | 0.778 | 1 |
| 4:6-1:2 | 0.5 | -0.278 | 1.278 | 0.754 |
| 3:2-2:2 | NA | NA | NA | NA |
| 4:2-2:2 | 0 | -0.499 | 0.499 | 1 |
| 1:3-2:2 | 0.091 | -0.321 | 0.503 | 1 |
| 2:3-2:2 | 0.167 | -0.239 | 0.572 | 0.998 |
| 3:3-2:2 | 0 | -0.499 | 0.499 | 1 |
| 4:3-2:2 | 0.071 | -0.323 | 0.466 | 1 |
| 1:4-2:2 | 0.667 | 0.078 | 1.255 | 0.01 |
| 2:4-2:2 | 0.083 | -0.322 | 0.489 | 1 |
| 3:4-2:2 | NA | NA | NA | NA |
| 4:4-2:2 | 0 | -0.684 | 0.684 | 1 |
| 1:5-2:2 | NA | NA | NA | NA |
| 2:5-2:2 | 0 | -0.684 | 0.684 | 1 |
| 3:5-2:2 | 0 | -0.534 | 0.534 | 1 |
| 4:5-2:2 | 0.333 | -0.255 | 0.922 | 0.905 |
| 1:6-2:2 | 0.75 | 0.216 | 1.284 | 0 |
| 2:6-2:2 | 0 | -0.911 | 0.911 | 1 |
| 3:6-2:2 | 0 | -0.684 | 0.684 | 1 |
| 4:6-2:2 | 0.5 | -0.184 | 1.184 | 0.509 |
| 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 |
| 1:5-3:2 | NA | NA | NA | NA |
| 2:5-3:2 | NA | NA | NA | NA |
| 3:5-3:2 | NA | NA | NA | NA |
| 4:5-3:2 | NA | NA | NA | NA |
| 1:6-3:2 | NA | NA | NA | NA |
| 2:6-3:2 | NA | NA | NA | NA |
| 3:6-3:2 | NA | NA | NA | NA |
| 4:6-3:2 | NA | NA | NA | NA |
| 1:3-4:2 | 0.091 | -0.369 | 0.551 | 1 |
| 2:3-4:2 | 0.167 | -0.287 | 0.62 | 1 |
| 3:3-4:2 | 0 | -0.539 | 0.539 | 1 |
| 4:3-4:2 | 0.071 | -0.373 | 0.516 | 1 |
| 1:4-4:2 | 0.667 | 0.044 | 1.289 | 0.022 |
| 2:4-4:2 | 0.083 | -0.37 | 0.537 | 1 |
| 3:4-4:2 | NA | NA | NA | NA |
| 4:4-4:2 | 0 | -0.713 | 0.713 | 1 |
| 1:5-4:2 | NA | NA | NA | NA |
| 2:5-4:2 | 0 | -0.713 | 0.713 | 1 |
| 3:5-4:2 | 0 | -0.572 | 0.572 | 1 |
| 4:5-4:2 | 0.333 | -0.289 | 0.956 | 0.944 |
| 1:6-4:2 | 0.75 | 0.178 | 1.322 | 0.001 |
| 2:6-4:2 | 0 | -0.934 | 0.934 | 1 |
| 3:6-4:2 | 0 | -0.713 | 0.713 | 1 |
| 4:6-4:2 | 0.5 | -0.213 | 1.213 | 0.595 |
| 2:3-1:3 | 0.076 | -0.28 | 0.432 | 1 |
| 3:3-1:3 | -0.091 | -0.551 | 0.369 | 1 |
| 4:3-1:3 | -0.019 | -0.363 | 0.324 | 1 |
| 1:4-1:3 | 0.576 | 0.02 | 1.131 | 0.033 |
| 2:4-1:3 | -0.008 | -0.363 | 0.348 | 1 |
| 3:4-1:3 | NA | NA | NA | NA |
| 4:4-1:3 | -0.091 | -0.746 | 0.564 | 1 |
| 1:5-1:3 | NA | NA | NA | NA |
| 2:5-1:3 | -0.091 | -0.746 | 0.564 | 1 |
| 3:5-1:3 | -0.091 | -0.589 | 0.407 | 1 |
| 4:5-1:3 | 0.242 | -0.313 | 0.798 | 0.995 |
| 1:6-1:3 | 0.659 | 0.161 | 1.157 | 0.001 |
| 2:6-1:3 | -0.091 | -0.981 | 0.8 | 1 |
| 3:6-1:3 | -0.091 | -0.746 | 0.564 | 1 |
| 4:6-1:3 | 0.409 | -0.246 | 1.064 | 0.797 |
| 3:3-2:3 | -0.167 | -0.62 | 0.287 | 1 |
| 4:3-2:3 | -0.095 | -0.431 | 0.24 | 1 |
| 1:4-2:3 | 0.5 | -0.05 | 1.05 | 0.131 |
| 2:4-2:3 | -0.083 | -0.431 | 0.265 | 1 |
| 3:4-2:3 | NA | NA | NA | NA |
| 4:4-2:3 | -0.167 | -0.818 | 0.485 | 1 |
| 1:5-2:3 | NA | NA | NA | NA |
| 2:5-2:3 | -0.167 | -0.818 | 0.485 | 1 |
| 3:5-2:3 | -0.167 | -0.659 | 0.326 | 1 |
| 4:5-2:3 | 0.167 | -0.384 | 0.717 | 1 |
| 1:6-2:3 | 0.583 | 0.091 | 1.076 | 0.005 |
| 2:6-2:3 | -0.167 | -1.054 | 0.721 | 1 |
| 3:6-2:3 | -0.167 | -0.818 | 0.485 | 1 |
| 4:6-2:3 | 0.333 | -0.318 | 0.985 | 0.964 |
| 4:3-3:3 | 0.071 | -0.373 | 0.516 | 1 |
| 1:4-3:3 | 0.667 | 0.044 | 1.289 | 0.022 |
| 2:4-3:3 | 0.083 | -0.37 | 0.537 | 1 |
| 3:4-3:3 | NA | NA | NA | NA |
| 4:4-3:3 | 0 | -0.713 | 0.713 | 1 |
| 1:5-3:3 | NA | NA | NA | NA |
| 2:5-3:3 | 0 | -0.713 | 0.713 | 1 |
| 3:5-3:3 | 0 | -0.572 | 0.572 | 1 |
| 4:5-3:3 | 0.333 | -0.289 | 0.956 | 0.944 |
| 1:6-3:3 | 0.75 | 0.178 | 1.322 | 0.001 |
| 2:6-3:3 | 0 | -0.934 | 0.934 | 1 |
| 3:6-3:3 | 0 | -0.713 | 0.713 | 1 |
| 4:6-3:3 | 0.5 | -0.213 | 1.213 | 0.595 |
| 1:4-4:3 | 0.595 | 0.053 | 1.138 | 0.015 |
| 2:4-4:3 | 0.012 | -0.324 | 0.347 | 1 |
| 3:4-4:3 | NA | NA | NA | NA |
| 4:4-4:3 | -0.071 | -0.716 | 0.573 | 1 |
| 1:5-4:3 | NA | NA | NA | NA |
| 2:5-4:3 | -0.071 | -0.716 | 0.573 | 1 |
| 3:5-4:3 | -0.071 | -0.555 | 0.412 | 1 |
| 4:5-4:3 | 0.262 | -0.281 | 0.804 | 0.981 |
| 1:6-4:3 | 0.679 | 0.195 | 1.162 | 0 |
| 2:6-4:3 | -0.071 | -0.954 | 0.811 | 1 |
| 3:6-4:3 | -0.071 | -0.716 | 0.573 | 1 |
| 4:6-4:3 | 0.429 | -0.216 | 1.073 | 0.695 |
| 2:4-1:4 | -0.583 | -1.134 | -0.033 | 0.025 |
| 3:4-1:4 | NA | NA | NA | NA |
| 4:4-1:4 | -0.667 | -1.445 | 0.112 | 0.21 |
| 1:5-1:4 | NA | NA | NA | NA |
| 2:5-1:4 | -0.667 | -1.445 | 0.112 | 0.21 |
| 3:5-1:4 | -0.667 | -1.318 | -0.015 | 0.038 |
| 4:5-1:4 | -0.333 | -1.029 | 0.363 | 0.983 |
| 1:6-1:4 | 0.083 | -0.568 | 0.735 | 1 |
| 2:6-1:4 | -0.667 | -1.651 | 0.318 | 0.662 |
| 3:6-1:4 | -0.667 | -1.445 | 0.112 | 0.21 |
| 4:6-1:4 | -0.167 | -0.945 | 0.612 | 1 |
| 3:4-2:4 | NA | NA | NA | NA |
| 4:4-2:4 | -0.083 | -0.735 | 0.568 | 1 |
| 1:5-2:4 | NA | NA | NA | NA |
| 2:5-2:4 | -0.083 | -0.735 | 0.568 | 1 |
| 3:5-2:4 | -0.083 | -0.576 | 0.409 | 1 |
| 4:5-2:4 | 0.25 | -0.3 | 0.8 | 0.991 |
| 1:6-2:4 | 0.667 | 0.174 | 1.159 | 0 |
| 2:6-2:4 | -0.083 | -0.971 | 0.804 | 1 |
| 3:6-2:4 | -0.083 | -0.735 | 0.568 | 1 |
| 4:6-2:4 | 0.417 | -0.235 | 1.068 | 0.76 |
| 4:4-3:4 | NA | NA | NA | NA |
| 1:5-3:4 | NA | NA | NA | NA |
| 2:5-3:4 | NA | NA | NA | NA |
| 3:5-3:4 | NA | NA | NA | NA |
| 4:5-3:4 | NA | NA | NA | NA |
| 1:6-3:4 | NA | NA | NA | NA |
| 2:6-3:4 | NA | NA | NA | NA |
| 3:6-3:4 | NA | NA | NA | NA |
| 4:6-3:4 | NA | NA | NA | NA |
| 1:5-4:4 | NA | NA | NA | NA |
| 2:5-4:4 | 0 | -0.853 | 0.853 | 1 |
| 3:5-4:4 | 0 | -0.738 | 0.738 | 1 |
| 4:5-4:4 | 0.333 | -0.445 | 1.112 | 0.996 |
| 1:6-4:4 | 0.75 | 0.012 | 1.488 | 0.042 |
| 2:6-4:4 | 0 | -1.044 | 1.044 | 1 |
| 3:6-4:4 | 0 | -0.853 | 0.853 | 1 |
| 4:6-4:4 | 0.5 | -0.353 | 1.353 | 0.873 |
| 2:5-1:5 | NA | NA | NA | NA |
| 3:5-1:5 | NA | NA | NA | NA |
| 4:5-1:5 | NA | NA | NA | NA |
| 1:6-1:5 | NA | NA | NA | NA |
| 2:6-1:5 | NA | NA | NA | NA |
| 3:6-1:5 | NA | NA | NA | NA |
| 4:6-1:5 | NA | NA | NA | NA |
| 3:5-2:5 | 0 | -0.738 | 0.738 | 1 |
| 4:5-2:5 | 0.333 | -0.445 | 1.112 | 0.996 |
| 1:6-2:5 | 0.75 | 0.012 | 1.488 | 0.042 |
| 2:6-2:5 | 0 | -1.044 | 1.044 | 1 |
| 3:6-2:5 | 0 | -0.853 | 0.853 | 1 |
| 4:6-2:5 | 0.5 | -0.353 | 1.353 | 0.873 |
| 4:5-3:5 | 0.333 | -0.318 | 0.985 | 0.964 |
| 1:6-3:5 | 0.75 | 0.147 | 1.353 | 0.002 |
| 2:6-3:5 | 0 | -0.953 | 0.953 | 1 |
| 3:6-3:5 | 0 | -0.738 | 0.738 | 1 |
| 4:6-3:5 | 0.5 | -0.238 | 1.238 | 0.662 |
| 1:6-4:5 | 0.417 | -0.235 | 1.068 | 0.76 |
| 2:6-4:5 | -0.333 | -1.318 | 0.651 | 1 |
| 3:6-4:5 | -0.333 | -1.112 | 0.445 | 0.996 |
| 4:6-4:5 | 0.167 | -0.612 | 0.945 | 1 |
| 2:6-1:6 | -0.75 | -1.703 | 0.203 | 0.36 |
| 3:6-1:6 | -0.75 | -1.488 | -0.012 | 0.042 |
| 4:6-1:6 | -0.25 | -0.988 | 0.488 | 1 |
| 3:6-2:6 | 0 | -1.044 | 1.044 | 1 |
| 4:6-2:6 | 0.5 | -0.544 | 1.544 | 0.983 |
| 4:6-3:6 | 0.5 | -0.353 | 1.353 | 0.873 |
| Levenes Test for Homogeneity of Variance | |||
| Df | F value | Pr(>F) | |
| Group | 20 | 1.503 | 0.09 |
| 133 | |||
