Table 6.
Response | Factors | Squares Sum | D.F. | Mean Square | F-Value | p-Value |
---|---|---|---|---|---|---|
Compressive strength | Model | 5108.15 | 14 | 364.87 | 16.36 | <0.0001 |
A | 4169.69 | 1 | 4169.69 | 186.94 | <0.0001 | |
B | 187.27 | 1 | 187.27 | 8.40 | 0.0110 | |
C | 131.61 | 1 | 131.61 | 5.90 | 0.0282 | |
D | 6.04 | 1 | 6.04 | 0.27 | 0.6105 | |
AB | 230.35 | 1 | 230.35 | 10.33 | 0.0058 | |
AC | 8.81 | 1 | 8.81 | 0.40 | 0.5391 | |
AD | 9.81 | 1 | 9.81 | 0.44 | 0.5173 | |
BC | 59.18 | 1 | 59.18 | 2.65 | 0.1241 | |
BD | 294.85 | 1 | 294.85 | 13.22 | 0.0024 | |
CD | 5.48 | 1 | 5.48 | 0.25 | 0.6274 | |
A 2 | 0.0055 | 1 | 0.0055 | 0.00025 | 0.9877 | |
B 2 | 156.03 | 1 | 156.03 | 7.00 | 0.0184 | |
C 2 | 59.79 | 1 | 59.79 | 2.68 | 0.1224 | |
D 2 | 655.05 | 1 | 655.05 | 29.37 | <0.0001 | |
Lack of Fit | 277.67 | 10 | 27.77 | 2.44 | 0.0984 | |
Elastic modulus | Model | 272.60 | 14 | 19.47 | 3.15 | <0.0001 |
A | 78.20 | 1 | 78.20 | 12.65 | 0.0029 | |
B | 6.47 | 1 | 6.47 | 1.05 | 0.3224 | |
C | 3.43 | 1 | 3.43 | 0.56 | 0.4676 | |
D | 0.18 | 1 | 0.18 | 0.028 | 0.8686 | |
AB | 5.24 | 1 | 5.24 | 0.85 | 0.3718 | |
AC | 0.017 | 1 | 0.017 | 0.0027 | 0.9592 | |
AD | 3.65 | 1 | 3.65 | 0.59 | 0.4544 | |
BC | 1.54 | 1 | 1.54 | 0.25 | 0.6250 | |
BD | 2.94 | 1 | 2.94 | 0.47 | 0.5013 | |
CD | 2.64 | 1 | 2.64 | 0.43 | 0.5234 | |
A 2 | 0.00096 | 1 | 0.00096 | 0.00016 | 0.9902 | |
B 2 | 57.78 | 1 | 57.78 | 9.35 | 0.0080 | |
C 2 | 49.70 | 1 | 49.70 | 8.04 | 0.0125 | |
D 2 | 30.42 | 1 | 30.42 | 4.92 | 0.0424 | |
Lack of Fit | 72.46 | 10 | 7.25 | 1.79 | 0.2707 | |
Poisson’s ratio | Model | 0.037 | 14 | 0.002659 | 16.31 | <0.0001 |
A | 0.015 | 1 | 0.015000 | 91.89 | <0.0001 | |
B | 0.000043 | 1 | 0.000043 | 0.26 | 0.6155 | |
C | 0.002041 | 1 | 0.002041 | 12.52 | 0.0030 | |
D | 0.002748 | 1 | 0.002748 | 16.86 | 0.0009 | |
AB | 0.000039 | 1 | 0.000039 | 0.24 | 0.6332 | |
AC | 0.000294 | 1 | 0.000294 | 1.80 | 0.1995 | |
AD | 0.010 | 1 | 0.010000 | 63.48 | <0.0001 | |
BC | 0.000311 | 1 | 0.000311 | 1.91 | 0.1876 | |
BD | 0.000867 | 1 | 0.000867 | 5.32 | 0.0358 | |
CD | 0.001820 | 1 | 0.001820 | 11.17 | 0.0045 | |
A 2 | 0.000248 | 1 | 0.000248 | 1.52 | 0.2360 | |
B 2 | 0.000294 | 1 | 0.000294 | 1.81 | 0.1989 | |
C 2 | 0.001141 | 1 | 0.001141 | 7.00 | 0.0183 | |
D 2 | 0.000117 | 1 | 0.000117 | 0.72 | 0.4104 | |
Lack of Fit | 0.002191 | 10 | 0.000219 | 4.31 | 0.1603 | |
Direct tensile strength | Model | 3.53 | 14 | 0.25 | 5.28 | <0.0001 |
A | 0.0068 | 1 | 0.0068 | 0.14 | 0.7116 | |
B | 0.0081 | 1 | 0.0081 | 0.17 | 0.6857 | |
C | 0.3 | 1 | 0.3 | 6.32 | 0.0238 | |
D | 0.36 | 1 | 0.36 | 7.44 | 0.0156 | |
AB | 0.089 | 1 | 0.089 | 1.88 | 0.1910 | |
AC | 0.0033 | 1 | 0.0033 | 0.070 | 0.7949 | |
AD | 0.99 | 1 | 0.99 | 20.86 | 0.0004 | |
BC | 0.0015 | 1 | 0.0015 | 0.031 | 0.8615 | |
BD | 0.31 | 1 | 0.31 | 6.60 | 0.0214 | |
CD | 0.0016 | 1 | 0.0016 | 0.034 | 0.8556 | |
A 2 | 0.011 | 1 | 0.011 | 0.23 | 0.6399 | |
B 2 | 0.015 | 1 | 0.015 | 0.32 | 0.5790 | |
C 2 | 0.013 | 1 | 0.013 | 0.28 | 0.6039 | |
D 2 | 0.34 | 1 | 0.34 | 7.18 | 0.0171 | |
Lack of Fit | 0.60 | 10 | 0.060 | 2.56 | 0.1551 | |
Drying shrinkage | Model | 279.40 | 14 | 19,957.70 | 61.52 | <0.0001 |
A | 208.50 | 1 | 208.50 | 642.82 | <0.0001 | |
B | 768.45 | 1 | 768.45 | 2.37 | 0.1446 | |
C | 1195.33 | 1 | 1195.33 | 3.68 | 0.0741 | |
D | 1271.57 | 1 | 1271.57 | 3.92 | 0.0664 | |
AB | 107.75 | 1 | 107.75 | 0.33 | 0.5730 | |
AC | 2626.96 | 1 | 2626.96 | 8.1 | 0.0123 | |
AD | 0.15 | 1 | 0.15 | 0.000454 | 0.9833 | |
BC | 138.08 | 1 | 138.08 | 0.43 | 0.5240 | |
BD | 56.32 | 1 | 56.32 | 0.17 | 0.6828 | |
CD | 2513.31 | 1 | 2513.31 | 7.75 | 0.0139 | |
A 2 | 11,086.53 | 1 | 11,086.53 | 34.17 | <0.0001 | |
B 2 | 50.78 | 1 | 50.78 | 0.16 | 0.6979 | |
C 2 | 3.23 | 1 | 3.23 | 0.009950 | 0.9219 | |
D 2 | 24,209.25 | 1 | 24,209.25 | 74.62 | <0.0001 | |
Lack of Fit | 4084.39 | 10 | 408.44 | 2.61 | 0.1505 | |
Flexural strength | Model | 272.60 | 14 | 19.47 | 3.15 | <0.0001 |
A | 78.20 | 1 | 78.20 | 12.65 | 0.0029 | |
B | 6.47 | 1 | 6.47 | 1.05 | 0.3224 | |
C | 3.43 | 1 | 3.43 | 0.56 | 0.4676 | |
D | 0.18 | 1 | 0.18 | 0.028 | 0.8686 | |
AB | 5.24 | 1 | 5.24 | 0.85 | 0.3718 | |
AC | 0.017 | 1 | 0.017 | 0.002700 | 0.9592 | |
AD | 3.65 | 1 | 3.65 | 0.59 | 0.4544 | |
BC | 1.54 | 1 | 1.54 | 0.25 | 0.6250 | |
BD | 2.94 | 1 | 2.94 | 0.47 | 0.5013 | |
CD | 2.64 | 1 | 2.64 | 0.43 | 0.5234 | |
A 2 | 0.000964 | 1 | 0.000964 | 0.000156 | 0.9902 | |
B 2 | 57.78 | 1 | 57.78 | 9.35 | 0.0080 | |
C 2 | 49.70 | 1 | 49.70 | 8.04 | 0.0125 | |
D 2 | 30.42 | 1 | 30.42 | 4.92 | 0.0424 | |
Lack of Fit | 72.46 | 10 | 7.25 | 1.79 | 0.2707 |
A: crumb rubber, B: nano-silica, C: fly ash, D: PVA fiber, A2, B2, C2, and D2: second order effect, AB, AC, AD, BC, BD, and CD: interaction effects, D.F: degree of freedom, F-value: Fisher-statistical test values, p-value: probability values.