Table 3.
(a) | ||||||
Source | Sum of Squares | df | Mean Square | F-Value | p -Value | |
Model | 2.02 | 7 | 0.2890 | 62.30 | <0.0001 | significant |
⁽1⁾ Linear Mixture | 1.27 | 2 | 0.6342 | 136.69 | <0.0001 | |
AB | 0.1415 | 1 | 0.1415 | 30.49 | 0.0004 | |
AC | 0.0764 | 1 | 0.0764 | 16.46 | 0.0029 | |
BC | 0.3179 | 1 | 0.3179 | 68.52 | <0.0001 | |
AB(A-B) | 0.1404 | 1 | 0.1404 | 30.26 | 0.0004 | |
BC(B-C) | 0.0752 | 1 | 0.0752 | 16.21 | 0.0030 | |
Residual | 0.0418 | 9 | 0.0046 | |||
Lack of Fit | 0.0307 | 4 | 0.0077 | 3.45 | 0.1033 | not significant |
Pure Error | 0.0111 | 5 | 0.0022 | |||
Cor Total | 2.07 | 16 | ||||
(b) | ||||||
Source | Sum of Squares | df | Mean Square | F-Value | p-Value | |
Model | 1.74 | 8 | 0.2173 | 120.23 | <0.0001 | significant |
⁽1⁾ Linear Mixture | 1.03 | 2 | 0.5150 | 285.04 | <0.0001 | |
AB | 0.1082 | 1 | 0.1082 | 59.89 | <0.0001 | |
AC | 0.0609 | 1 | 0.0609 | 33.72 | 0.0004 | |
BC | 0.3769 | 1 | 0.3769 | 208.56 | <0.0001 | |
AB(A-B) | 0.0736 | 1 | 0.0736 | 40.74 | 0.0002 | |
AC(A-C) | 0.0280 | 1 | 0.0280 | 15.51 | 0.0043 | |
BC(B-C) | 0.0308 | 1 | 0.0308 | 17.03 | 0.0033 | |
Residual | 0.0145 | 8 | 0.0018 | |||
Lack of Fit | 0.0098 | 3 | 0.0033 | 3.46 | 0.1077 | not significant |
Pure Error | 0.0047 | 5 | 0.0009 | |||
Cor Total | 1.75 | 16 | ||||
(c) | ||||||
Source | Sum of Squares | df | Mean Square | F-Value | p-Value | |
Model | 5.61 × 1015 | 7 | 8.02 × 1014 | 76.12 | <0.0001 | significant |
⁽1⁾ Linear Mixture | 3.24 × 1015 | 2 | 1.62 × 1015 | 153.75 | <0.0001 | |
AB | 8.81 × 1013 | 1 | 8.81 × 1013 | 8.36 | 0.0179 | |
AC | 4.31 × 1014 | 1 | 4.31 × 1014 | 40.94 | 0.0001 | |
BC | 1.87 × 1015 | 1 | 1.87 × 1015 | 177.29 | <0.0001 | |
AC(A-C) | 1.06 × 1014 | 1 | 1.06 × 1014 | 10.08 | 0.0113 | |
BC(B-C) | 1.76 × 1014 | 1 | 1.76 × 1014 | 16.73 | 0.0027 | |
Residual | 9.48 × 1013 | 9 | 1.05 × 1013 | |||
Lack of Fit | 7.41 × 1013 | 4 | 1.85 × 1013 | 4.47 | 0.0660 | not significant |
Pure Error | 2.07 × 1013 | 5 | 4.15 × 1012 | |||
Cor Total | 5.71 × 1015 | 16 | ||||
(d) | ||||||
Source | Sum of Squares | df | Mean Square | F-value | p-value | |
Model | 3.87 × 1018 | 5 | 7.73 × 1017 | 40.80 | <0.0001 | significant |
⁽1⁾ Linear Mixture | 2.28 × 1018 | 2 | 1.14 × 1018 | 60.16 | <0.0001 | |
AB | 1.55 × 1017 | 1 | 1.55 × 1017 | 8.19 | 0.0155 | |
AC | 2.12 × 1017 | 1 | 2.12 × 1017 | 11.17 | 0.0066 | |
BC | 1.40 × 1018 | 1 | 1.40 × 1018 | 74.13 | <0.0001 | |
Residual | 2.08 × 1017 | 11 | 1.90 × 1016 | |||
Lack of Fit | 1.24 × 1017 | 6 | 2.07 × 1016 | 1.23 | 0.4180 | not significant |
Pure Error | 8.40 × 1016 | 5 | 1.68 × 1016 | |||
Cor Total | 4.07 × 1018 | 16 |
⁽1⁾ Inference for linear mixtures uses Type I sums of squares; A, B, and C were the input factors (A: EOCU, B: EOCA, and C: EOCO).