Table of F-statistics P=0.05

F-statistics with other P-values: P=0.01 | P=0.001

df2\df1 1 2 3 4 5 63 10.13 9.55 9.28 9.12 9.01 8.944 7.71 6.94 6.59 6.39 6.26 6.165 6.61 5.79 5.41 5.19 5.05 4.956 5.99 5.14 4.76 4.53 4.39 4.287 5.59 4.74 4.35 4.12 3.97 3.878 5.32 4.46 4.07 3.84 3.69 3.589 5.12 4.26 3.86 3.63 3.48 3.3710 4.96 4.1 3.71 3.48 3.33 3.2211 4.84 3.98 3.59 3.36 3.2 3.0912 4.75 3.89 3.49 3.26 3.11 313 4.67 3.81 3.41 3.18 3.03 2.9214 4.6 3.74 3.34 3.11 2.96 2.8515 4.54 3.68 3.29 3.06 2.9 2.7916 4.49 3.63 3.24 3.01 2.85 2.7417 4.45 3.59 3.2 2.96 2.81 2.718 4.41 3.55 3.16 2.93 2.77 2.6619 4.38 3.52 3.13 2.9 2.74 2.6320 4.35 3.49 3.1 2.87 2.71 2.622 4.3 3.44 3.05 2.82 2.66 2.5524 4.26 3.4 3.01 2.78 2.62 2.5126 4.23 3.37 2.98 2.74 2.59 2.4728 4.2 3.34 2.95 2.71 2.56 2.4530 4.17 3.32 2.92 2.69 2.53 2.4235 4.12 3.27 2.87 2.64 2.49 2.3740 4.08 3.23 2.84 2.61 2.45 2.3445 4.06 3.2 2.81 2.58 2.42 2.3150 4.03 3.18 2.79 2.56 2.4 2.2960 4 3.15 2.76 2.53 2.37 2.2570 3.98 3.13 2.74 2.5 2.35 2.23

t-statistics

Chi-square statistics

80 3.96 3.11 2.72 2.49 2.33 2.21100 3.94 3.09 2.7 2.46 2.31 2.19200 3.89 3.04 2.65 2.42 2.26 2.14500 3.86 3.01 2.62 2.39 2.23 2.121000 3.85 3 2.61 2.38 2.22 2.11>1000 1.04 3 2.61 2.37 2.21 2.1

df2/df1 1 2 3 4 5 6

Table of F-statistics P=0.01

F-statistics with other P-values: P=0.05 | P=0.001

df2\df1 1 2 3 4 5 63 34.12 30.82 29.46 28.71 28.24 27.914 21.2 18 16.69 15.98 15.52 15.215 16.26 13.27 12.06 11.39 10.97 10.676 13.75 10.92 9.78 9.15 8.75 8.477 12.25 9.55 8.45 7.85 7.46 7.198 11.26 8.65 7.59 7.01 6.63 6.379 10.56 8.02 6.99 6.42 6.06 5.810 10.04 7.56 6.55 5.99 5.64 5.3911 9.65 7.21 6.22 5.67 5.32 5.0712 9.33 6.93 5.95 5.41 5.06 4.8213 9.07 6.7 5.74 5.21 4.86 4.6214 8.86 6.51 5.56 5.04 4.7 4.4615 8.68 6.36 5.42 4.89 4.56 4.3216 8.53 6.23 5.29 4.77 4.44 4.217 8.4 6.11 5.19 4.67 4.34 4.118 8.29 6.01 5.09 4.58 4.25 4.0119 8.19 5.93 5.01 4.5 4.17 3.9420 8.1 5.85 4.94 4.43 4.1 3.8722 7.95 5.72 4.82 4.31 3.99 3.7624 7.82 5.61 4.72 4.22 3.9 3.6726 7.72 5.53 4.64 4.14 3.82 3.5928 7.64 5.45 4.57 4.07 3.75 3.5330 7.56 5.39 4.51 4.02 3.7 3.47

t-statistics

Chi-square statistics

35 7.42 5.27 4.4 3.91 3.59 3.3740 7.31 5.18 4.31 3.83 3.51 3.2945 7.23 5.11 4.25 3.77 3.45 3.2350 7.17 5.06 4.2 3.72 3.41 3.1960 7.08 4.98 4.13 3.65 3.34 3.1270 7.01 4.92 4.07 3.6 3.29 3.0780 6.96 4.88 4.04 3.56 3.26 3.04100 6.9 4.82 3.98 3.51 3.21 2.99200 6.76 4.71 3.88 3.41 3.11 2.89500 6.69 4.65 3.82 3.36 3.05 2.841000 6.66 4.63 3.8 3.34 3.04 2.82>1000 1.04 4.61 3.78 3.32 3.02 2.8

df2/df1 1 2 3 4 5 6

Table of F-statistics P=0.05

7 8 9 10 11 12 13 14 158.89 8.85 8.81 8.79 8.76 8.74 8.73 8.71 8.76.09 6.04 6 5.96 5.94 5.91 5.89 5.87 5.864.88 4.82 4.77 4.74 4.7 4.68 4.66 4.64 4.624.21 4.15 4.1 4.06 4.03 4 3.98 3.96 3.943.79 3.73 3.68 3.64 3.6 3.57 3.55 3.53 3.513.5 3.44 3.39 3.35 3.31 3.28 3.26 3.24 3.22

3.29 3.23 3.18 3.14 3.1 3.07 3.05 3.03 3.013.14 3.07 3.02 2.98 2.94 2.91 2.89 2.86 2.853.01 2.95 2.9 2.85 2.82 2.79 2.76 2.74 2.722.91 2.85 2.8 2.75 2.72 2.69 2.66 2.64 2.622.83 2.77 2.71 2.67 2.63 2.6 2.58 2.55 2.532.76 2.7 2.65 2.6 2.57 2.53 2.51 2.48 2.462.71 2.64 2.59 2.54 2.51 2.48 2.45 2.42 2.42.66 2.59 2.54 2.49 2.46 2.42 2.4 2.37 2.352.61 2.55 2.49 2.45 2.41 2.38 2.35 2.33 2.312.58 2.51 2.46 2.41 2.37 2.34 2.31 2.29 2.272.54 2.48 2.42 2.38 2.34 2.31 2.28 2.26 2.232.51 2.45 2.39 2.35 2.31 2.28 2.25 2.23 2.22.46 2.4 2.34 2.3 2.26 2.23 2.2 2.17 2.152.42 2.36 2.3 2.25 2.22 2.18 2.15 2.13 2.112.39 2.32 2.27 2.22 2.18 2.15 2.12 2.09 2.072.36 2.29 2.24 2.19 2.15 2.12 2.09 2.06 2.042.33 2.27 2.21 2.16 2.13 2.09 2.06 2.04 2.012.29 2.22 2.16 2.11 2.08 2.04 2.01 1.99 1.962.25 2.18 2.12 2.08 2.04 2 1.97 1.95 1.922.22 2.15 2.1 2.05 2.01 1.97 1.94 1.92 1.892.2 2.13 2.07 2.03 1.99 1.95 1.92 1.89 1.87

2.17 2.1 2.04 1.99 1.95 1.92 1.89 1.86 1.842.14 2.07 2.02 1.97 1.93 1.89 1.86 1.84 1.81

2.13 2.06 2 1.95 1.91 1.88 1.84 1.82 1.792.1 2.03 1.97 1.93 1.89 1.85 1.82 1.79 1.77

2.06 1.98 1.93 1.88 1.84 1.8 1.77 1.74 1.722.03 1.96 1.9 1.85 1.81 1.77 1.74 1.71 1.692.02 1.95 1.89 1.84 1.8 1.76 1.73 1.7 1.682.01 1.94 1.88 1.83 1.79 1.75 1.72 1.69 1.67

7 8 9 10 11 12 13 14 15

Table of F-statistics P=0.01

7 8 9 10 11 12 13 14 1527.67 27.49 27.35 27.23 27.13 27.05 26.98 26.92 26.8714.98 14.8 14.66 14.55 14.45 14.37 14.31 14.25 14.210.46 10.29 10.16 10.05 9.96 9.89 9.82 9.77 9.728.26 8.1 7.98 7.87 7.79 7.72 7.66 7.61 7.566.99 6.84 6.72 6.62 6.54 6.47 6.41 6.36 6.316.18 6.03 5.91 5.81 5.73 5.67 5.61 5.56 5.525.61 5.47 5.35 5.26 5.18 5.11 5.05 5.01 4.965.2 5.06 4.94 4.85 4.77 4.71 4.65 4.6 4.56

4.89 4.74 4.63 4.54 4.46 4.4 4.34 4.29 4.254.64 4.5 4.39 4.3 4.22 4.16 4.1 4.05 4.014.44 4.3 4.19 4.1 4.02 3.96 3.91 3.86 3.824.28 4.14 4.03 3.94 3.86 3.8 3.75 3.7 3.664.14 4 3.89 3.8 3.73 3.67 3.61 3.56 3.524.03 3.89 3.78 3.69 3.62 3.55 3.5 3.45 3.413.93 3.79 3.68 3.59 3.52 3.46 3.4 3.35 3.313.84 3.71 3.6 3.51 3.43 3.37 3.32 3.27 3.233.77 3.63 3.52 3.43 3.36 3.3 3.24 3.19 3.153.7 3.56 3.46 3.37 3.29 3.23 3.18 3.13 3.09

3.59 3.45 3.35 3.26 3.18 3.12 3.07 3.02 2.983.5 3.36 3.26 3.17 3.09 3.03 2.98 2.93 2.89

3.42 3.29 3.18 3.09 3.02 2.96 2.9 2.86 2.823.36 3.23 3.12 3.03 2.96 2.9 2.84 2.79 2.753.3 3.17 3.07 2.98 2.91 2.84 2.79 2.74 2.7

3.2 3.07 2.96 2.88 2.8 2.74 2.69 2.64 2.63.12 2.99 2.89 2.8 2.73 2.66 2.61 2.56 2.523.07 2.94 2.83 2.74 2.67 2.61 2.55 2.51 2.463.02 2.89 2.79 2.7 2.63 2.56 2.51 2.46 2.422.95 2.82 2.72 2.63 2.56 2.5 2.44 2.39 2.352.91 2.78 2.67 2.59 2.51 2.45 2.4 2.35 2.312.87 2.74 2.64 2.55 2.48 2.42 2.36 2.31 2.272.82 2.69 2.59 2.5 2.43 2.37 2.31 2.27 2.222.73 2.6 2.5 2.41 2.34 2.27 2.22 2.17 2.132.68 2.55 2.44 2.36 2.28 2.22 2.17 2.12 2.072.66 2.53 2.43 2.34 2.27 2.2 2.15 2.1 2.062.64 2.51 2.41 2.32 2.25 2.19 2.13 2.08 2.047 8 9 10 11 12 13 14 15

16 17 18 19 20 22 24 26 288.69 8.68 8.67 8.67 8.66 8.65 8.64 8.63 8.625.84 5.83 5.82 5.81 5.8 5.79 5.77 5.76 5.754.6 4.59 4.58 4.57 4.56 4.54 4.53 4.52 4.5

3.92 3.91 3.9 3.88 3.87 3.86 3.84 3.83 3.823.49 3.48 3.47 3.46 3.44 3.43 3.41 3.4 3.393.2 3.19 3.17 3.16 3.15 3.13 3.12 3.1 3.09

2.99 2.97 2.96 2.95 2.94 2.92 2.9 2.89 2.872.83 2.81 2.8 2.79 2.77 2.75 2.74 2.72 2.712.7 2.69 2.67 2.66 2.65 2.63 2.61 2.59 2.582.6 2.58 2.57 2.56 2.54 2.52 2.51 2.49 2.48

2.51 2.5 2.48 2.47 2.46 2.44 2.42 2.41 2.392.44 2.43 2.41 2.4 2.39 2.37 2.35 2.33 2.322.38 2.37 2.35 2.34 2.33 2.31 2.29 2.27 2.262.33 2.32 2.3 2.29 2.28 2.25 2.24 2.22 2.212.29 2.27 2.26 2.24 2.23 2.21 2.19 2.17 2.162.25 2.23 2.22 2.2 2.19 2.17 2.15 2.13 2.122.21 2.2 2.18 2.17 2.16 2.13 2.11 2.1 2.082.18 2.17 2.15 2.14 2.12 2.1 2.08 2.07 2.052.13 2.11 2.1 2.08 2.07 2.05 2.03 2.01 22.09 2.07 2.05 2.04 2.03 2 1.98 1.97 1.952.05 2.03 2.02 2 1.99 1.97 1.95 1.93 1.912.02 2 1.99 1.97 1.96 1.93 1.91 1.9 1.881.99 1.98 1.96 1.95 1.93 1.91 1.89 1.87 1.851.94 1.92 1.91 1.89 1.88 1.85 1.83 1.82 1.81.9 1.89 1.87 1.85 1.84 1.81 1.79 1.77 1.76

1.87 1.86 1.84 1.82 1.81 1.78 1.76 1.74 1.731.85 1.83 1.81 1.8 1.78 1.76 1.74 1.72 1.71.82 1.8 1.78 1.76 1.75 1.72 1.7 1.68 1.661.79 1.77 1.75 1.74 1.72 1.7 1.67 1.65 1.64

1.77 1.75 1.73 1.72 1.7 1.68 1.65 1.63 1.621.75 1.73 1.71 1.69 1.68 1.65 1.63 1.61 1.591.69 1.67 1.66 1.64 1.62 1.6 1.57 1.55 1.531.66 1.64 1.62 1.61 1.59 1.56 1.54 1.52 1.51.65 1.63 1.61 1.6 1.58 1.55 1.53 1.51 1.491.64 1.62 1.61 1.59 1.57 1.54 1.52 1.5 1.48

16 17 18 19 20 22 24 26 28

16 17 18 19 20 22 24 26 2826.83 26.79 26.75 26.72 26.69 26.64 26.6 26.56 26.5314.15 14.11 14.08 14.05 14.02 13.97 13.93 13.89 13.869.68 9.64 9.61 9.58 9.55 9.51 9.47 9.43 9.47.52 7.48 7.45 7.42 7.4 7.35 7.31 7.28 7.256.28 6.24 6.21 6.18 6.16 6.11 6.07 6.04 6.025.48 5.44 5.41 5.38 5.36 5.32 5.28 5.25 5.224.92 4.89 4.86 4.83 4.81 4.77 4.73 4.7 4.674.52 4.49 4.46 4.43 4.41 4.36 4.33 4.3 4.274.21 4.18 4.15 4.12 4.1 4.06 4.02 3.99 3.963.97 3.94 3.91 3.88 3.86 3.82 3.78 3.75 3.723.78 3.75 3.72 3.69 3.66 3.62 3.59 3.56 3.533.62 3.59 3.56 3.53 3.51 3.46 3.43 3.4 3.373.49 3.45 3.42 3.4 3.37 3.33 3.29 3.26 3.243.37 3.34 3.31 3.28 3.26 3.22 3.18 3.15 3.123.27 3.24 3.21 3.19 3.16 3.12 3.08 3.05 3.033.19 3.16 3.13 3.1 3.08 3.03 3 2.97 2.943.12 3.08 3.05 3.03 3 2.96 2.92 2.89 2.873.05 3.02 2.99 2.96 2.94 2.9 2.86 2.83 2.82.94 2.91 2.88 2.85 2.83 2.78 2.75 2.72 2.692.85 2.82 2.79 2.76 2.74 2.7 2.66 2.63 2.62.78 2.75 2.72 2.69 2.66 2.62 2.58 2.55 2.532.72 2.68 2.65 2.63 2.6 2.56 2.52 2.49 2.462.66 2.63 2.6 2.57 2.55 2.51 2.47 2.44 2.41

2.56 2.53 2.5 2.47 2.44 2.4 2.36 2.33 2.312.48 2.45 2.42 2.39 2.37 2.33 2.29 2.26 2.232.43 2.39 2.36 2.34 2.31 2.27 2.23 2.2 2.172.38 2.35 2.32 2.29 2.27 2.22 2.18 2.15 2.122.31 2.28 2.25 2.22 2.2 2.15 2.12 2.08 2.052.27 2.23 2.2 2.18 2.15 2.11 2.07 2.03 2.012.23 2.2 2.17 2.14 2.12 2.07 2.03 2 1.972.19 2.15 2.12 2.09 2.07 2.02 1.98 1.95 1.922.09 2.06 2.03 2 1.97 1.93 1.89 1.85 1.822.04 2 1.97 1.94 1.92 1.87 1.83 1.79 1.762.02 1.98 1.95 1.92 1.9 1.85 1.81 1.77 1.74

2 1.97 1.94 1.91 1.88 1.83 1.79 1.76 1.7316 17 18 19 20 22 24 26 28

30 35 40 45 50 60 70 80 1008.62 8.6 8.59 8.59 8.58 8.57 8.57 8.56 8.555.75 5.73 5.72 5.71 5.7 5.69 5.68 5.67 5.664.5 4.48 4.46 4.45 4.44 4.43 4.42 4.42 4.41

3.81 3.79 3.77 3.76 3.75 3.74 3.73 3.72 3.713.38 3.36 3.34 3.33 3.32 3.3 3.29 3.29 3.273.08 3.06 3.04 3.03 3.02 3.01 2.99 2.99 2.972.86 2.84 2.83 2.81 2.8 2.79 2.78 2.77 2.762.7 2.68 2.66 2.65 2.64 2.62 2.61 2.6 2.59

2.57 2.55 2.53 2.52 2.51 2.49 2.48 2.47 2.462.47 2.44 2.43 2.41 2.4 2.38 2.37 2.36 2.352.38 2.36 2.34 2.33 2.31 2.3 2.28 2.27 2.262.31 2.28 2.27 2.25 2.24 2.22 2.21 2.2 2.192.25 2.22 2.2 2.19 2.18 2.16 2.15 2.14 2.122.19 2.17 2.15 2.14 2.12 2.11 2.09 2.08 2.072.15 2.12 2.1 2.09 2.08 2.06 2.05 2.03 2.022.11 2.08 2.06 2.05 2.04 2.02 2 1.99 1.982.07 2.05 2.03 2.01 2 1.98 1.97 1.96 1.942.04 2.01 1.99 1.98 1.97 1.95 1.93 1.92 1.911.98 1.96 1.94 1.92 1.91 1.89 1.88 1.86 1.851.94 1.91 1.89 1.88 1.86 1.84 1.83 1.82 1.81.9 1.87 1.85 1.84 1.82 1.8 1.79 1.78 1.76

1.87 1.84 1.82 1.8 1.79 1.77 1.75 1.74 1.731.84 1.81 1.79 1.77 1.76 1.74 1.72 1.71 1.71.79 1.76 1.74 1.72 1.7 1.68 1.66 1.65 1.631.74 1.72 1.69 1.67 1.66 1.64 1.62 1.61 1.591.71 1.68 1.66 1.64 1.63 1.6 1.59 1.57 1.551.69 1.66 1.63 1.61 1.6 1.58 1.56 1.54 1.521.65 1.62 1.59 1.57 1.56 1.53 1.52 1.5 1.481.62 1.59 1.57 1.55 1.53 1.5 1.49 1.47 1.45

1.6 1.57 1.54 1.52 1.51 1.48 1.46 1.45 1.431.57 1.54 1.52 1.49 1.48 1.45 1.43 1.41 1.391.52 1.48 1.46 1.43 1.41 1.39 1.36 1.35 1.321.48 1.45 1.42 1.4 1.38 1.35 1.32 1.3 1.281.47 1.43 1.41 1.38 1.36 1.33 1.31 1.29 1.261.46 1.42 1.4 1.37 1.35 1.32 1.3 1.28 1.25

30 35 40 45 50 60 70 80 100

30 35 40 45 50 60 70 80 10026.5 26.45 26.41 26.38 26.35 26.32 26.29 26.27 26.24

13.84 13.79 13.75 13.71 13.69 13.65 13.63 13.61 13.589.38 9.33 9.29 9.26 9.24 9.2 9.18 9.16 9.137.23 7.18 7.14 7.11 7.09 7.06 7.03 7.01 6.995.99 5.94 5.91 5.88 5.86 5.82 5.8 5.78 5.755.2 5.15 5.12 5.09 5.07 5.03 5.01 4.99 4.96

4.65 4.6 4.57 4.54 4.52 4.48 4.46 4.44 4.424.25 4.2 4.17 4.14 4.12 4.08 4.06 4.04 4.013.94 3.89 3.86 3.83 3.81 3.78 3.75 3.73 3.713.7 3.65 3.62 3.59 3.57 3.54 3.51 3.49 3.47

3.51 3.46 3.43 3.4 3.38 3.34 3.32 3.3 3.273.35 3.3 3.27 3.24 3.22 3.18 3.16 3.14 3.113.21 3.17 3.13 3.1 3.08 3.05 3.02 3 2.983.1 3.05 3.02 2.99 2.97 2.93 2.91 2.89 2.86

3 2.96 2.92 2.89 2.87 2.83 2.81 2.79 2.762.92 2.87 2.84 2.81 2.78 2.75 2.72 2.71 2.682.84 2.8 2.76 2.73 2.71 2.67 2.65 2.63 2.62.78 2.73 2.69 2.67 2.64 2.61 2.58 2.56 2.542.67 2.62 2.58 2.55 2.53 2.5 2.47 2.45 2.422.58 2.53 2.49 2.46 2.44 2.4 2.38 2.36 2.332.5 2.45 2.42 2.39 2.36 2.33 2.3 2.28 2.25

2.44 2.39 2.35 2.32 2.3 2.26 2.24 2.22 2.192.39 2.34 2.3 2.27 2.25 2.21 2.18 2.16 2.13

2.28 2.23 2.19 2.16 2.14 2.1 2.07 2.05 2.022.2 2.15 2.11 2.08 2.06 2.02 1.99 1.97 1.94

2.14 2.09 2.05 2.02 2 1.96 1.93 1.91 1.882.1 2.05 2.01 1.97 1.95 1.91 1.88 1.86 1.82

2.03 1.98 1.94 1.9 1.88 1.84 1.81 1.78 1.751.98 1.93 1.89 1.85 1.83 1.78 1.75 1.73 1.71.94 1.89 1.85 1.82 1.79 1.75 1.71 1.69 1.651.89 1.84 1.8 1.76 1.74 1.69 1.66 1.63 1.61.79 1.74 1.69 1.66 1.63 1.58 1.55 1.52 1.481.74 1.68 1.63 1.6 1.57 1.52 1.48 1.45 1.411.72 1.66 1.61 1.58 1.54 1.5 1.46 1.43 1.381.7 1.64 1.59 1.56 1.53 1.48 1.44 1.41 1.36

30 35 40 45 50 60 70 80 100

200 500 1000 >1000 df1/df28.54 8.53 8.53 8.54 35.65 5.64 5.63 5.63 44.39 4.37 4.37 4.36 53.69 3.68 3.67 3.67 63.25 3.24 3.23 3.23 72.95 2.94 2.93 2.93 82.73 2.72 2.71 2.71 92.56 2.55 2.54 2.54 102.43 2.42 2.41 2.41 112.32 2.31 2.3 2.3 122.23 2.22 2.21 2.21 132.16 2.14 2.14 2.13 142.1 2.08 2.07 2.07 15

2.04 2.02 2.02 2.01 161.99 1.97 1.97 1.96 171.95 1.93 1.92 1.92 181.91 1.89 1.88 1.88 191.88 1.86 1.85 1.84 201.82 1.8 1.79 1.78 221.77 1.75 1.74 1.73 241.73 1.71 1.7 1.69 261.69 1.67 1.66 1.66 281.66 1.64 1.63 1.62 301.6 1.57 1.57 1.56 35

1.55 1.53 1.52 1.51 401.51 1.49 1.48 1.47 451.48 1.46 1.45 1.44 501.44 1.41 1.4 1.39 601.4 1.37 1.36 1.35 70

1.38 1.35 1.34 1.33 801.34 1.31 1.3 1.28 1001.26 1.22 1.21 1.19 2001.21 1.16 1.14 1.12 5001.19 1.13 1.11 1.08 10001.17 1.11 1.08 1.03 >1000

200 500 1000 >1000 df1\df2

200 500 1000 >1000 df1/df226.18 26.15 26.13 26.15 313.52 13.49 13.47 13.47 49.08 9.04 9.03 9.02 56.93 6.9 6.89 6.89 65.7 5.67 5.66 5.65 7

4.91 4.88 4.87 4.86 84.36 4.33 4.32 4.32 93.96 3.93 3.92 3.91 103.66 3.62 3.61 3.6 113.41 3.38 3.37 3.36 123.22 3.19 3.18 3.17 133.06 3.03 3.01 3.01 142.92 2.89 2.88 2.87 152.81 2.78 2.76 2.75 162.71 2.68 2.66 2.65 172.62 2.59 2.58 2.57 182.55 2.51 2.5 2.49 192.48 2.44 2.43 2.42 202.36 2.33 2.32 2.31 222.27 2.24 2.22 2.21 242.19 2.16 2.14 2.13 262.13 2.09 2.08 2.07 282.07 2.03 2.02 2.01 30

1.96 1.92 1.9 1.89 351.87 1.83 1.82 1.81 401.81 1.77 1.75 1.74 451.76 1.71 1.7 1.69 501.68 1.63 1.62 1.6 601.62 1.57 1.56 1.54 701.58 1.53 1.51 1.5 801.52 1.47 1.45 1.43 1001.39 1.33 1.3 1.28 2001.31 1.23 1.2 1.17 5001.28 1.19 1.16 1.12 10001.25 1.16 1.11 1.05 >1000

200 500 1000 >1000 df1\df2

Table of t-statisticsF-statistics with other P-values: P=0.05 | P=0.01 | P=0.001

df1 12.71 63.66 636.612 4.3 9.92 31.63 3.18 5.84 12.924 2.78 4.6 8.615 2.57 4.03 6.876 2.45 3.71 5.967 2.36 3.5 5.418 2.31 3.36 5.049 2.26 3.25 4.7810 2.23 3.17 4.5911 2.2 3.11 4.4412 2.18 3.05 4.3213 2.16 3.01 4.2214 2.14 2.98 4.1415 2.13 2.95 4.0716 2.12 2.92 4.0217 2.11 2.9 3.9718 2.1 2.88 3.9219 2.09 2.86 3.8820 2.09 2.85 3.8521 2.08 2.83 3.8222 2.07 2.82 3.7923 2.07 2.81 3.7724 2.06 2.8 3.7525 2.06 2.79 3.7326 2.06 2.78 3.7127 2.05 2.77 3.6928 2.05 2.76 3.6729 2.05 2.76 3.6630 2.04 2.75 3.6531 2.04 2.74 3.6332 2.04 2.74 3.6233 2.03 2.73 3.6134 2.03 2.73 3.635 2.03 2.72 3.59

Chi-square statistics

P = 0.05 P = 0.01 0.001

36 2.03 2.72 3.5837 2.03 2.72 3.5738 2.02 2.71 3.5739 2.02 2.71 3.5640 2.02 2.7 3.5541 2.02 2.7 3.5442 2.02 2.7 3.5443 2.02 2.7 3.5344 2.02 2.69 3.5345 2.01 2.69 3.5246 2.01 2.69 3.5247 2.01 2.68 3.5148 2.01 2.68 3.5149 2.01 2.68 3.550 2.01 2.68 3.551 2.01 2.68 3.4952 2.01 2.67 3.4953 2.01 2.67 3.4854 2 2.67 3.4855 2 2.67 3.4856 2 2.67 3.4757 2 2.66 3.4758 2 2.66 3.4759 2 2.66 3.4660 2 2.66 3.4661 2 2.66 3.4662 2 2.66 3.4663 2 2.66 3.4564 2 2.65 3.4565 2 2.65 3.4566 2 2.65 3.4467 2 2.65 3.4468 2 2.65 3.4469 2 2.65 3.4470 1.99 2.65 3.4471 1.99 2.65 3.4372 1.99 2.65 3.4373 1.99 2.64 3.4374 1.99 2.64 3.4375 1.99 2.64 3.4376 1.99 2.64 3.4277 1.99 2.64 3.4278 1.99 2.64 3.42

79 1.99 2.64 3.4280 1.99 2.64 3.4281 1.99 2.64 3.4282 1.99 2.64 3.4183 1.99 2.64 3.4184 1.99 2.64 3.4185 1.99 2.63 3.4186 1.99 2.63 3.4187 1.99 2.63 3.4188 1.99 2.63 3.4189 1.99 2.63 3.490 1.99 2.63 3.491 1.99 2.63 3.492 1.99 2.63 3.493 1.99 2.63 3.494 1.99 2.63 3.495 1.99 2.63 3.496 1.99 2.63 3.497 1.98 2.63 3.3998 1.98 2.63 3.3999 1.98 2.63 3.39100 1.98 2.63 3.39

Table of Chi-square statisticsF-statistics with other P-values: P=0.05 | P=0.01 | P=0.001

df 31 44.99 52.191 3.84 6.64 10.83 32 46.19 53.492 5.99 9.21 13.82 33 47.4 54.783 7.82 11.35 16.27 34 48.6 56.064 9.49 13.28 18.47 35 49.8 57.345 11.07 15.09 20.52 36 51 58.626 12.59 16.81 22.46 37 52.19 59.897 14.07 18.48 24.32 38 53.38 61.168 15.51 20.09 26.13 39 54.57 62.439 16.92 21.67 27.88 40 55.76 63.6910 18.31 23.21 29.59 41 56.94 64.9511 19.68 24.73 31.26 42 58.12 66.2112 21.03 26.22 32.91 43 59.3 67.4613 22.36 27.69 34.53 44 60.48 68.7114 23.69 29.14 36.12 45 61.66 69.9615 25 30.58 37.7 46 62.83 71.216 26.3 32 39.25 47 64 72.4417 27.59 33.41 40.79 48 65.17 73.6818 28.87 34.81 42.31 49 66.34 74.9219 30.14 36.19 43.82 50 67.51 76.1520 31.41 37.57 45.32 51 68.67 77.3921 32.67 38.93 46.8 52 69.83 78.6222 33.92 40.29 48.27 53 70.99 79.8423 35.17 41.64 49.73 54 72.15 81.0724 36.42 42.98 51.18 55 73.31 82.2925 37.65 44.31 52.62 56 74.47 83.5226 38.89 45.64 54.05 57 75.62 84.7327 40.11 46.96 55.48 58 76.78 85.9528 41.34 48.28 56.89 59 77.93 87.1729 42.56 49.59 58.3 60 79.08 88.3830 43.77 50.89 59.7 61 80.23 89.59

t-statistics

P = 0.05 P = 0.01

P = 0.001

62 81.38 90.8 102.15 94 117.63 128.863 82.53 92.01 103.46 95 118.75 129.9764 83.68 93.22 104.72 96 119.87 131.1465 84.82 94.42 105.97 97 120.99 132.3166 85.97 95.63 107.26 98 122.11 133.4767 87.11 96.83 108.54 99 123.23 134.6468 88.25 98.03 109.79 100 124.34 135.8169 89.39 99.23 111.0670 90.53 100.42 112.3171 91.67 101.62 113.5672 92.81 102.82 114.8473 93.95 104.01 116.0874 95.08 105.2 117.3575 96.22 106.39 118.676 97.35 107.58 119.8577 98.49 108.77 121.1178 99.62 109.96 122.3679 100.75 111.15 123.680 101.88 112.33 124.8481 103.01 113.51 126.0982 104.14 114.7 127.3383 105.27 115.88 128.5784 106.4 117.06 129.885 107.52 118.24 131.0486 108.65 119.41 132.2887 109.77 120.59 133.5188 110.9 121.77 134.7489 112.02 122.94 135.9690 113.15 124.12 137.1991 114.27 125.29 138.4592 115.39 126.46 139.6693 116.51 127.63 140.9

61.162.4963.8765.2566.6267.9969.3570.7172.0673.4174.7576.0977.4278.7580.0881.4

82.7284.0385.3586.6687.9789.2790.5791.8893.1794.4795.7597.0398.3499.62100.88

142.12143.32144.55145.78146.99148.21149.48