F检验临界值表(α=0.05(b))

自由度(df)11

12

13

14

15

16

17

18

19

20

n -m -11242.983243.906244.690245.364245.950246.464246.918247.323247.686248.013219.40519.41319.41919.42419.42919.43319.43719.44019.44319.44638.7638.7458.7298.7158.7038.6928.6838.6758.6678.6604 5.936 5.912 5.891 5.873 5.858 5.844 5.832 5.821 5.811 5.8035 4.704 4.678 4.655 4.636 4.619 4.604 4.590 4.579 4.568 4.5586 4.027 4.000 3.976 3.956 3.938 3.922 3.908 3.896 3.884 3.8747 3.603 3.575 3.550 3.529 3.511 3.494 3.480 3.467 3.455 3.4458 3.313 3.284 3.259 3.237 3.218 3.202 3.187 3.173 3.161 3.1509 3.102 3.073 3.048 3.025 3.006 2.989 2.974 2.960 2.948 2.93610 2.943 2.913 2.887 2.865 2.845 2.828 2.812 2.798 2.785 2.77411 2.818 2.788 2.761 2.739 2.719 2.701 2.685 2.671 2.658 2.64612 2.717 2.687 2.660 2.637 2.617 2.599 2.583 2.568 2.555 2.54413 2.635 2.604 2.577 2.554 2.533 2.515 2.499 2.484 2.471 2.45914 2.565 2.534 2.507 2.484 2.463 2.445 2.428 2.413 2.400 2.38815 2.507 2.475 2.448 2.424 2.403 2.385 2.368 2.353 2.340 2.32816 2.456 2.425 2.397 2.373 2.352 2.333 2.317 2.302 2.288 2.27617 2.413 2.381 2.353 2.329 2.308 2.289 2.272 2.257 2.243 2.23018 2.374 2.342 2.314 2.290 2.269 2.250 2.233 2.217 2.203 2.19119 2.340 2.308 2.280 2.256 2.234 2.215 2.198 2.182 2.168 2.15520 2.310 2.278 2.250 2.225 2.203 2.184 2.167 2.151 2.137 2.12421 2.283 2.250 2.222 2.197 2.176 2.156 2.139 2.123 2.109 2.09622 2.259 2.226 2.198 2.173 2.151 2.131 2.114 2.098 2.084 2.07123 2.236 2.204 2.175 2.150 2.128 2.109 2.091 2.075 2.061 2.04824 2.216 2.183 2.155 2.130 2.108 2.088 2.070 2.054 2.040 2.02725 2.198 2.165 2.136 2.111 2.089 2.069 2.051 2.035 2.021 2.00726 2.181 2.148 2.119 2.094 2.072 2.052 2.034 2.018 2.003 1.99027 2.166 2.132 2.103 2.078 2.056 2.036 2.018 2.002 1.987 1.97428 2.151 2.118 2.089 2.064 2.041 2.021 2.003 1.987 1.972 1.95929 2.138 2.104 2.075 2.050 2.027 2.007 1.989 1.973 1.958 1.94530 2.126 2.092 2.063 2.037 2.015 1.995 1.976 1.960 1.945 1.93231 2.114 2.080 2.051 2.026 2.003 1.983 1.965 1.948 1.933 1.92032 2.103 2.070 2.040 2.015 1.992 1.972 1.953 1.937 1.922 1.90833 2.093 2.060 2.030 2.004 1.982 1.961 1.943 1.926 1.911 1.89834 2.084 2.050 2.021 1.995 1.972 1.952 1.933 1.917 1.902 1.88835 2.075 2.041 2.012 1.986 1.963 1.942 1.924 1.907 1.892 1.87836 2.067 2.033 2.003 1.977 1.954 1.934 1.915 1.899 1.883 1.87037 2.059 2.025 1.995 1.969 1.946 1.926 1.907 1.890 1.875 1.86138 2.051 2.017 1.988 1.962 1.939 1.918 1.899 1.883 1.867 1.85339 2.044 2.010 1.981 1.954 1.931 1.911 1.892 1.875 1.860 1.84640 2.038 2.003 1.974 1.948 1.924 1.904 1.885 1.868 1.853 1.83941

2.031 1.997 1.967 1.941 1.918 1.897 1.879 1.862 1.846 1.832

自变量数目（m ） 显著性水平：α=0.05F 检验临界值表（α=0.05(b)）

42 2.025 1.991 1.961 1.935 1.912 1.891 1.872 1.855 1.840 1.826

43 2.020 1.985 1.955 1.929 1.906 1.885 1.866 1.849 1.834 1.820

44 2.014 1.980 1.950 1.924 1.900 1.879 1.861 1.844 1.828 1.814

45 2.009 1.974 1.945 1.918 1.895 1.874 1.855 1.838 1.823 1.808

46 2.004 1.969 1.940 1.913 1.890 1.869 1.850 1.833 1.817 1.803

47 1.999 1.965 1.935 1.908 1.885 1.864 1.845 1.828 1.812 1.798

48 1.995 1.960 1.930 1.904 1.880 1.859 1.840 1.823 1.807 1.793

49 1.990 1.956 1.926 1.899 1.876 1.855 1.836 1.819 1.803 1.789

50 1.986 1.952 1.921 1.895 1.871 1.850 1.831 1.814 1.798 1.784

51 1.982 1.947 1.917 1.891 1.867 1.846 1.827 1.810 1.794 1.780

52 1.978 1.944 1.913 1.887 1.863 1.842 1.823 1.806 1.790 1.776

53 1.975 1.940 1.910 1.883 1.859 1.838 1.819 1.802 1.786 1.772

54 1.971 1.936 1.906 1.879 1.856 1.835 1.816 1.798 1.782 1.768

55 1.968 1.933 1.903 1.876 1.852 1.831 1.812 1.795 1.779 1.764

56 1.964 1.930 1.899 1.873 1.849 1.828 1.809 1.791 1.775 1.761

57 1.961 1.926 1.896 1.869 1.846 1.824 1.805 1.788 1.772 1.757

58 1.958 1.923 1.893 1.866 1.842 1.821 1.802 1.785 1.769 1.754

59 1.955 1.920 1.890 1.863 1.839 1.818 1.799 1.781 1.766 1.751

60 1.952 1.917 1.887 1.860 1.836 1.815 1.796 1.778 1.763 1.748

61 1.949 1.915 1.884 1.857 1.834 1.812 1.793 1.776 1.760 1.745

62 1.947 1.912 1.882 1.855 1.831 1.809 1.790 1.773 1.757 1.742

63 1.944 1.909 1.879 1.852 1.828 1.807 1.787 1.770 1.754 1.739

64 1.942 1.907 1.876 1.849 1.826 1.804 1.785 1.767 1.751 1.737

65 1.939 1.904 1.874 1.847 1.823 1.802 1.782 1.765 1.749 1.734

66 1.937 1.902 1.871 1.845 1.821 1.799 1.780 1.762 1.746 1.732

67 1.935 1.900 1.869 1.842 1.818 1.797 1.777 1.760 1.744 1.729

68 1.932 1.897 1.867 1.840 1.816 1.795 1.775 1.758 1.742 1.727

69 1.930 1.895 1.865 1.838 1.814 1.792 1.773 1.755 1.739 1.725

70 1.928 1.893 1.863 1.836 1.812 1.790 1.771 1.753 1.737 1.722

71 1.926 1.891 1.861 1.834 1.810 1.788 1.769 1.751 1.735 1.720

72 1.924 1.889 1.859 1.832 1.808 1.786 1.767 1.749 1.733 1.718

73 1.922 1.887 1.857 1.830 1.806 1.784 1.765 1.747 1.731 1.716

74 1.921 1.885 1.855 1.828 1.804 1.782 1.763 1.745 1.729 1.714

75 1.919 1.884 1.853 1.826 1.802 1.780 1.761 1.743 1.727 1.712

76 1.917 1.882 1.851 1.824 1.800 1.778 1.759 1.741 1.725 1.710

77 1.915 1.880 1.849 1.822 1.798 1.777 1.757 1.739 1.723 1.708

78 1.914 1.878 1.848 1.821 1.797 1.775 1.755 1.738 1.721 1.707

79 1.912 1.877 1.846 1.819 1.795 1.773 1.754 1.736 1.720 1.705

80 1.910 1.875 1.845 1.817 1.793 1.772 1.752 1.734 1.718 1.703

81 1.909 1.874 1.843 1.816 1.792 1.770 1.750 1.733 1.716 1.702

82 1.907 1.872 1.841 1.814 1.790 1.768 1.749 1.731 1.715 1.700

83 1.906 1.871 1.840 1.813 1.789 1.767 1.747 1.729 1.713 1.698

84 1.905 1.869 1.838 1.811 1.787 1.765 1.746 1.728 1.712 1.697

85 1.903 1.868 1.837 1.810 1.786 1.764 1.744 1.726 1.710 1.695

86 1.902 1.867 1.836 1.808 1.784 1.763 1.743 1.725 1.709 1.694

87 1.900 1.865 1.834 1.807 1.783 1.761 1.741 1.724 1.707 1.692

88 1.899 1.864 1.833 1.806 1.782 1.760 1.740 1.722 1.706 1.691

89 1.898 1.863 1.832 1.804 1.780 1.758 1.739 1.721 1.705 1.690

90 1.897 1.861 1.830 1.803 1.779 1.757 1.737 1.720 1.703 1.688

91 1.895 1.860 1.829 1.802 1.778 1.756 1.736 1.718 1.702 1.687

92 1.894 1.859 1.828 1.801 1.776 1.755 1.735 1.717 1.701 1.686

93 1.893 1.858 1.827 1.800 1.775 1.753 1.734 1.716 1.699 1.684

94 1.892 1.857 1.826 1.798 1.774 1.752 1.733 1.715 1.698 1.683

95 1.891 1.856 1.825 1.797 1.773 1.751 1.731 1.713 1.697 1.682

96 1.890 1.854 1.823 1.796 1.772 1.750 1.730 1.712 1.696 1.681

97 1.889 1.853 1.822 1.795 1.771 1.749 1.729 1.711 1.695 1.680

98 1.888 1.852 1.821 1.794 1.770 1.748 1.728 1.710 1.694 1.679

99 1.887 1.851 1.820 1.793 1.769 1.747 1.727 1.709 1.693 1.678 100 1.886 1.850 1.819 1.792 1.768 1.746 1.726 1.708 1.691 1.676 101 1.885 1.849 1.818 1.791 1.767 1.745 1.725 1.707 1.690 1.675 102 1.884 1.848 1.817 1.790 1.766 1.744 1.724 1.706 1.689 1.674 103 1.883 1.847 1.816 1.789 1.765 1.743 1.723 1.705 1.688 1.673 104 1.882 1.846 1.815 1.788 1.764 1.742 1.722 1.704 1.687 1.672 105 1.881 1.846 1.814 1.787 1.763 1.741 1.721 1.703 1.686 1.671 106 1.880 1.845 1.814 1.786 1.762 1.740 1.720 1.702 1.686 1.670 107 1.879 1.844 1.813 1.785 1.761 1.739 1.719 1.701 1.685 1.669 108 1.878 1.843 1.812 1.784 1.760 1.738 1.718 1.700 1.684 1.669 109 1.878 1.842 1.811 1.784 1.759 1.737 1.717 1.699 1.683 1.668 110 1.877 1.841 1.810 1.783 1.758 1.736 1.716 1.698 1.682 1.667 111 1.876 1.840 1.809 1.782 1.757 1.735 1.716 1.698 1.681 1.666 112 1.875 1.840 1.809 1.781 1.757 1.735 1.715 1.697 1.680 1.665 113 1.874 1.839 1.808 1.780 1.756 1.734 1.714 1.696 1.679 1.664 114 1.874 1.838 1.807 1.779 1.755 1.733 1.713 1.695 1.679 1.663 115 1.873 1.837 1.806 1.779 1.754 1.732 1.712 1.694 1.678 1.663 116 1.872 1.837 1.805 1.778 1.753 1.731 1.712 1.693 1.677 1.662 117 1.871 1.836 1.805 1.777 1.753 1.731 1.711 1.693 1.676 1.661 118 1.871 1.835 1.804 1.776 1.752 1.730 1.710 1.692 1.675 1.660 119 1.870 1.834 1.803 1.776 1.751 1.729 1.709 1.691 1.675 1.659 120 1.869 1.834 1.803 1.775 1.750 1.728 1.709 1.690 1.674 1.659 121 1.869 1.833 1.802 1.774 1.750 1.728 1.708 1.690 1.673 1.658 122 1.868 1.832 1.801 1.774 1.749 1.727 1.707 1.689 1.672 1.657 123 1.867 1.832 1.801 1.773 1.748 1.726 1.706 1.688 1.672 1.657 124 1.867 1.831 1.800 1.772 1.748 1.726 1.706 1.688 1.671 1.656 125 1.866 1.830 1.799 1.772 1.747 1.725 1.705 1.687 1.670 1.655 126 1.865 1.830 1.799 1.771 1.746 1.724 1.704 1.686 1.670 1.654 127 1.865 1.829 1.798 1.770 1.746 1.724 1.704 1.686 1.669 1.654 128 1.864 1.829 1.797 1.770 1.745 1.723 1.703 1.685 1.668 1.653 129 1.864 1.828 1.797 1.769 1.745 1.722 1.703 1.684 1.668 1.652 130 1.863 1.827 1.796 1.769 1.744 1.722 1.702 1.684 1.667 1.652 131 1.862 1.827 1.796 1.768 1.743 1.721 1.701 1.683 1.666 1.651 132 1.862 1.826 1.795 1.767 1.743 1.721 1.701 1.683 1.666 1.651 133 1.861 1.826 1.794 1.767 1.742 1.720 1.700 1.682 1.665 1.650 134 1.861 1.825 1.794 1.766 1.742 1.720 1.700 1.681 1.665 1.649 135 1.860 1.825 1.793 1.766 1.741 1.719 1.699 1.681 1.664 1.649

136 1.860 1.824 1.793 1.765 1.741 1.718 1.698 1.680 1.664 1.648 137 1.859 1.823 1.792 1.765 1.740 1.718 1.698 1.680 1.663 1.648 138 1.859 1.823 1.792 1.764 1.739 1.717 1.697 1.679 1.662 1.647 139 1.858 1.822 1.791 1.764 1.739 1.717 1.697 1.679 1.662 1.647 140 1.858 1.822 1.791 1.763 1.738 1.716 1.696 1.678 1.661 1.646 141 1.857 1.821 1.790 1.763 1.738 1.716 1.696 1.677 1.661 1.645 142 1.857 1.821 1.790 1.762 1.737 1.715 1.695 1.677 1.660 1.645 143 1.856 1.820 1.789 1.762 1.737 1.715 1.695 1.676 1.660 1.644 144 1.856 1.820 1.789 1.761 1.736 1.714 1.694 1.676 1.659 1.644 145 1.855 1.819 1.788 1.761 1.736 1.714 1.694 1.675 1.659 1.643 146 1.855 1.819 1.788 1.760 1.735 1.713 1.693 1.675 1.658 1.643 147 1.854 1.819 1.787 1.760 1.735 1.713 1.693 1.674 1.658 1.642 148 1.854 1.818 1.787 1.759 1.734 1.712 1.692 1.674 1.657 1.642 149 1.853 1.818 1.786 1.759 1.734 1.712 1.692 1.673 1.657 1.641 150 1.853 1.817 1.786 1.758 1.734 1.711 1.691 1.673 1.656 1.641 151 1.853 1.817 1.785 1.758 1.733 1.711 1.691 1.673 1.656 1.641 152 1.852 1.816 1.785 1.757 1.733 1.710 1.690 1.672 1.655 1.640 153 1.852 1.816 1.785 1.757 1.732 1.710 1.690 1.672 1.655 1.640 154 1.851 1.816 1.784 1.756 1.732 1.710 1.689 1.671 1.654 1.639 155 1.851 1.815 1.784 1.756 1.731 1.709 1.689 1.671 1.654 1.639 156 1.850 1.815 1.783 1.756 1.731 1.709 1.689 1.670 1.654 1.638 157 1.850 1.814 1.783 1.755 1.731 1.708 1.688 1.670 1.653 1.638 158 1.850 1.814 1.783 1.755 1.730 1.708 1.688 1.669 1.653 1.637 159 1.849 1.814 1.782 1.754 1.730 1.707 1.687 1.669 1.652 1.637 160 1.849 1.813 1.782 1.754 1.729 1.707 1.687 1.669 1.652 1.637 161 1.849 1.813 1.781 1.754 1.729 1.707 1.687 1.668 1.652 1.636 162 1.848 1.812 1.781 1.753 1.729 1.706 1.686 1.668 1.651 1.636 163 1.848 1.812 1.781 1.753 1.728 1.706 1.686 1.667 1.651 1.635 164 1.847 1.812 1.780 1.753 1.728 1.706 1.685 1.667 1.650 1.635 165 1.847 1.811 1.780 1.752 1.727 1.705 1.685 1.667 1.650 1.635 166 1.847 1.811 1.780 1.752 1.727 1.705 1.685 1.666 1.650 1.634 167 1.846 1.811 1.779 1.751 1.727 1.704 1.684 1.666 1.649 1.634 168 1.846 1.810 1.779 1.751 1.726 1.704 1.684 1.666 1.649 1.633 169 1.846 1.810 1.778 1.751 1.726 1.704 1.684 1.665 1.648 1.633 170 1.845 1.810 1.778 1.750 1.726 1.703 1.683 1.665 1.648 1.633 171 1.845 1.809 1.778 1.750 1.725 1.703 1.683 1.664 1.648 1.632 172 1.845 1.809 1.777 1.750 1.725 1.703 1.682 1.664 1.647 1.632 173 1.844 1.808 1.777 1.749 1.725 1.702 1.682 1.664 1.647 1.632 174 1.844 1.808 1.777 1.749 1.724 1.702 1.682 1.663 1.647 1.631 175 1.844 1.808 1.776 1.749 1.724 1.702 1.681 1.663 1.646 1.631 176 1.843 1.808 1.776 1.748 1.724 1.701 1.681 1.663 1.646 1.631 177 1.843 1.807 1.776 1.748 1.723 1.701 1.681 1.662 1.646 1.630 178 1.843 1.807 1.775 1.748 1.723 1.701 1.680 1.662 1.645 1.630 179 1.842 1.807 1.775 1.747 1.723 1.700 1.680 1.662 1.645 1.630 180 1.842 1.806 1.775 1.747 1.722 1.700 1.680 1.661 1.645 1.629 181 1.842 1.806 1.775 1.747 1.722 1.700 1.679 1.661 1.644 1.629 182 1.842 1.806 1.774 1.746 1.722 1.699 1.679 1.661 1.644 1.629

183 1.841 1.805 1.774 1.746 1.721 1.699 1.679 1.660 1.644 1.628 184 1.841 1.805 1.774 1.746 1.721 1.699 1.679 1.660 1.643 1.628 185 1.841 1.805 1.773 1.746 1.721 1.698 1.678 1.660 1.643 1.628 186 1.840 1.805 1.773 1.745 1.720 1.698 1.678 1.660 1.643 1.627 187 1.840 1.804 1.773 1.745 1.720 1.698 1.678 1.659 1.642 1.627 188 1.840 1.804 1.773 1.745 1.720 1.698 1.677 1.659 1.642 1.627 189 1.840 1.804 1.772 1.744 1.720 1.697 1.677 1.659 1.642 1.626 190 1.839 1.803 1.772 1.744 1.719 1.697 1.677 1.658 1.642 1.626 191 1.839 1.803 1.772 1.744 1.719 1.697 1.676 1.658 1.641 1.626 192 1.839 1.803 1.771 1.744 1.719 1.696 1.676 1.658 1.641 1.626 193 1.839 1.803 1.771 1.743 1.718 1.696 1.676 1.658 1.641 1.625 194 1.838 1.802 1.771 1.743 1.718 1.696 1.676 1.657 1.640 1.625 195 1.838 1.802 1.771 1.743 1.718 1.696 1.675 1.657 1.640 1.625 196 1.838 1.802 1.770 1.743 1.718 1.695 1.675 1.657 1.640 1.624 197 1.838 1.802 1.770 1.742 1.717 1.695 1.675 1.656 1.640 1.624 198 1.837 1.801 1.770 1.742 1.717 1.695 1.675 1.656 1.639 1.624 199 1.837 1.801 1.770 1.742 1.717 1.695 1.674 1.656 1.639 1.624 200 1.837 1.801 1.769 1.742 1.717 1.694 1.674 1.656 1.639 1.623 201 1.837 1.801 1.769 1.741 1.716 1.694 1.674 1.655 1.639 1.623 202 1.836 1.800 1.769 1.741 1.716 1.694 1.674 1.655 1.638 1.623 203 1.836 1.800 1.769 1.741 1.716 1.694 1.673 1.655 1.638 1.623 204 1.836 1.800 1.768 1.741 1.716 1.693 1.673 1.655 1.638 1.622 205 1.836 1.800 1.768 1.740 1.715 1.693 1.673 1.654 1.638 1.622 206 1.835 1.799 1.768 1.740 1.715 1.693 1.673 1.654 1.637 1.622 207 1.835 1.799 1.768 1.740 1.715 1.693 1.672 1.654 1.637 1.622 208 1.835 1.799 1.767 1.740 1.715 1.692 1.672 1.654 1.637 1.621 209 1.835 1.799 1.767 1.739 1.714 1.692 1.672 1.653 1.637 1.621 210 1.834 1.799 1.767 1.739 1.714 1.692 1.672 1.653 1.636 1.621 211 1.834 1.798 1.767 1.739 1.714 1.692 1.671 1.653 1.636 1.621 212 1.834 1.798 1.767 1.739 1.714 1.691 1.671 1.653 1.636 1.620 213 1.834 1.798 1.766 1.738 1.714 1.691 1.671 1.652 1.636 1.620 214 1.834 1.798 1.766 1.738 1.713 1.691 1.671 1.652 1.635 1.620 215 1.833 1.797 1.766 1.738 1.713 1.691 1.670 1.652 1.635 1.620 216 1.833 1.797 1.766 1.738 1.713 1.691 1.670 1.652 1.635 1.619 217 1.833 1.797 1.765 1.738 1.713 1.690 1.670 1.652 1.635 1.619 218 1.833 1.797 1.765 1.737 1.712 1.690 1.670 1.651 1.634 1.619 219 1.833 1.797 1.765 1.737 1.712 1.690 1.670 1.651 1.634 1.619 220 1.832 1.796 1.765 1.737 1.712 1.690 1.669 1.651 1.634 1.618 221 1.832 1.796 1.765 1.737 1.712 1.689 1.669 1.651 1.634 1.618 222 1.832 1.796 1.764 1.737 1.712 1.689 1.669 1.650 1.634 1.618 223 1.832 1.796 1.764 1.736 1.711 1.689 1.669 1.650 1.633 1.618 224 1.832 1.796 1.764 1.736 1.711 1.689 1.669 1.650 1.633 1.618 225 1.831 1.795 1.764 1.736 1.711 1.689 1.668 1.650 1.633 1.617 226 1.831 1.795 1.764 1.736 1.711 1.688 1.668 1.650 1.633 1.617 227 1.831 1.795 1.763 1.736 1.711 1.688 1.668 1.649 1.633 1.617 228 1.831 1.795 1.763 1.735 1.710 1.688 1.668 1.649 1.632 1.617 229 1.831 1.795 1.763 1.735 1.710 1.688 1.668 1.649 1.632 1.617

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418 1.812 1.775 1.744 1.715 1.690 1.668 1.647 1.629 1.611 1.596 419 1.812 1.775 1.744 1.715 1.690 1.668 1.647 1.629 1.611 1.596 420 1.811 1.775 1.743 1.715 1.690 1.668 1.647 1.628 1.611 1.596 421 1.811 1.775 1.743 1.715 1.690 1.668 1.647 1.628 1.611 1.596 422 1.811 1.775 1.743 1.715 1.690 1.668 1.647 1.628 1.611 1.596 423 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 424 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 425 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 426 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 427 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 428 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 429 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 430 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 431 1.811 1.775 1.743 1.715 1.690 1.667 1.647 1.628 1.611 1.595 432 1.811 1.775 1.743 1.715 1.690 1.667 1.646 1.628 1.611 1.595 433 1.811 1.775 1.743 1.715 1.690 1.667 1.646 1.628 1.611 1.595 434 1.811 1.775 1.743 1.715 1.689 1.667 1.646 1.628 1.611 1.595 435 1.811 1.774 1.743 1.715 1.689 1.667 1.646 1.628 1.611 1.595 436 1.811 1.774 1.743 1.715 1.689 1.667 1.646 1.628 1.610 1.595 437 1.811 1.774 1.743 1.714 1.689 1.667 1.646 1.628 1.610 1.595 438 1.811 1.774 1.743 1.714 1.689 1.667 1.646 1.627 1.610 1.595 439 1.810 1.774 1.742 1.714 1.689 1.667 1.646 1.627 1.610 1.595 440 1.810 1.774 1.742 1.714 1.689 1.667 1.646 1.627 1.610 1.594 441 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 442 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 443 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 444 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 445 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 446 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 447 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 448 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 449 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 450 1.810 1.774 1.742 1.714 1.689 1.666 1.646 1.627 1.610 1.594 451 1.810 1.774 1.742 1.714 1.689 1.666 1.645 1.627 1.610 1.594 452 1.810 1.774 1.742 1.714 1.689 1.666 1.645 1.627 1.610 1.594 453 1.810 1.774 1.742 1.714 1.689 1.666 1.645 1.627 1.610 1.594 454 1.810 1.774 1.742 1.714 1.688 1.666 1.645 1.627 1.609 1.594 455 1.810 1.773 1.742 1.714 1.688 1.666 1.645 1.627 1.609 1.594 456 1.810 1.773 1.742 1.714 1.688 1.666 1.645 1.627 1.609 1.594 457 1.810 1.773 1.742 1.713 1.688 1.666 1.645 1.626 1.609 1.594 458 1.810 1.773 1.742 1.713 1.688 1.666 1.645 1.626 1.609 1.594 459 1.810 1.773 1.742 1.713 1.688 1.666 1.645 1.626 1.609 1.593 460 1.809 1.773 1.741 1.713 1.688 1.666 1.645 1.626 1.609 1.593 461 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 462 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 463 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 464 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593

465 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 466 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 467 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 468 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 469 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 470 1.809 1.773 1.741 1.713 1.688 1.665 1.645 1.626 1.609 1.593 471 1.809 1.773 1.741 1.713 1.688 1.665 1.644 1.626 1.609 1.593 472 1.809 1.773 1.741 1.713 1.688 1.665 1.644 1.626 1.609 1.593 473 1.809 1.773 1.741 1.713 1.688 1.665 1.644 1.626 1.609 1.593 474 1.809 1.773 1.741 1.713 1.688 1.665 1.644 1.626 1.609 1.593 475 1.809 1.773 1.741 1.713 1.687 1.665 1.644 1.626 1.608 1.593 476 1.809 1.773 1.741 1.713 1.687 1.665 1.644 1.626 1.608 1.593 477 1.809 1.772 1.741 1.713 1.687 1.665 1.644 1.626 1.608 1.593 478 1.809 1.772 1.741 1.713 1.687 1.665 1.644 1.625 1.608 1.593 479 1.809 1.772 1.741 1.712 1.687 1.665 1.644 1.625 1.608 1.593 480 1.809 1.772 1.741 1.712 1.687 1.665 1.644 1.625 1.608 1.592 481 1.809 1.772 1.741 1.712 1.687 1.665 1.644 1.625 1.608 1.592 482 1.809 1.772 1.740 1.712 1.687 1.665 1.644 1.625 1.608 1.592 483 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 484 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 485 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 486 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 487 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 488 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 489 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 490 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 491 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 492 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 493 1.808 1.772 1.740 1.712 1.687 1.664 1.644 1.625 1.608 1.592 494 1.808 1.772 1.740 1.712 1.687 1.664 1.643 1.625 1.608 1.592 495 1.808 1.772 1.740 1.712 1.687 1.664 1.643 1.625 1.608 1.592 496 1.808 1.772 1.740 1.712 1.687 1.664 1.643 1.625 1.608 1.592 497 1.808 1.772 1.740 1.712 1.687 1.664 1.643 1.625 1.608 1.592 498 1.808 1.772 1.740 1.712 1.687 1.664 1.643 1.625 1.607 1.592 499 1.808 1.772 1.740 1.712 1.686 1.664 1.643 1.625 1.607 1.592 500 1.808 1.772 1.740 1.712 1.686 1.664 1.643 1.625 1.607 1.592 501 1.808 1.772 1.740 1.712 1.686 1.664 1.643 1.624 1.607 1.592 502 1.808 1.771 1.740 1.712 1.686 1.664 1.643 1.624 1.607 1.592 503 1.808 1.771 1.740 1.711 1.686 1.664 1.643 1.624 1.607 1.591 504 1.808 1.771 1.740 1.711 1.686 1.664 1.643 1.624 1.607 1.591 505 1.808 1.771 1.740 1.711 1.686 1.664 1.643 1.624 1.607 1.591 506 1.808 1.771 1.740 1.711 1.686 1.664 1.643 1.624 1.607 1.591 507 1.808 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 508 1.808 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 509 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 510 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 511 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591

512 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 513 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 514 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 515 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 516 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 517 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 518 1.807 1.771 1.739 1.711 1.686 1.663 1.643 1.624 1.607 1.591 519 1.807 1.771 1.739 1.711 1.686 1.663 1.642 1.624 1.607 1.591 520 1.807 1.771 1.739 1.711 1.686 1.663 1.642 1.624 1.607 1.591 521 1.807 1.771 1.739 1.711 1.686 1.663 1.642 1.624 1.607 1.591 522 1.807 1.771 1.739 1.711 1.686 1.663 1.642 1.624 1.606 1.591 523 1.807 1.771 1.739 1.711 1.686 1.663 1.642 1.624 1.606 1.591 524 1.807 1.771 1.739 1.711 1.686 1.663 1.642 1.624 1.606 1.591 525 1.807 1.771 1.739 1.711 1.685 1.663 1.642 1.624 1.606 1.591 526 1.807 1.771 1.739 1.711 1.685 1.663 1.642 1.623 1.606 1.591 527 1.807 1.771 1.739 1.711 1.685 1.663 1.642 1.623 1.606 1.591 528 1.807 1.771 1.739 1.711 1.685 1.663 1.642 1.623 1.606 1.590 529 1.807 1.770 1.739 1.710 1.685 1.663 1.642 1.623 1.606 1.590 530 1.807 1.770 1.739 1.710 1.685 1.663 1.642 1.623 1.606 1.590 531 1.807 1.770 1.739 1.710 1.685 1.663 1.642 1.623 1.606 1.590 532 1.807 1.770 1.739 1.710 1.685 1.663 1.642 1.623 1.606 1.590 533 1.807 1.770 1.739 1.710 1.685 1.663 1.642 1.623 1.606 1.590 534 1.807 1.770 1.739 1.710 1.685 1.662 1.642 1.623 1.606 1.590 535 1.807 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 536 1.807 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 537 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 538 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 539 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 540 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 541 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 542 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 543 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 544 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 545 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 546 1.806 1.770 1.738 1.710 1.685 1.662 1.642 1.623 1.606 1.590 547 1.806 1.770 1.738 1.710 1.685 1.662 1.641 1.623 1.606 1.590 548 1.806 1.770 1.738 1.710 1.685 1.662 1.641 1.623 1.606 1.590 549 1.806 1.770 1.738 1.710 1.685 1.662 1.641 1.623 1.606 1.590 550 1.806 1.770 1.738 1.710 1.685 1.662 1.641 1.623 1.605 1.590 551 1.806 1.770 1.738 1.710 1.685 1.662 1.641 1.623 1.605 1.590 552 1.806 1.770 1.738 1.710 1.685 1.662 1.641 1.623 1.605 1.590 553 1.806 1.770 1.738 1.710 1.684 1.662 1.641 1.623 1.605 1.590 554 1.806 1.770 1.738 1.710 1.684 1.662 1.641 1.623 1.605 1.590 555 1.806 1.770 1.738 1.710 1.684 1.662 1.641 1.622 1.605 1.590 556 1.806 1.770 1.738 1.710 1.684 1.662 1.641 1.622 1.605 1.589 557 1.806 1.770 1.738 1.710 1.684 1.662 1.641 1.622 1.605 1.589 558 1.806 1.770 1.738 1.710 1.684 1.662 1.641 1.622 1.605 1.589

559 1.806 1.769 1.738 1.709 1.684 1.662 1.641 1.622 1.605 1.589 560 1.806 1.769 1.738 1.709 1.684 1.662 1.641 1.622 1.605 1.589 561 1.806 1.769 1.738 1.709 1.684 1.662 1.641 1.622 1.605 1.589 562 1.806 1.769 1.738 1.709 1.684 1.662 1.641 1.622 1.605 1.589 563 1.806 1.769 1.738 1.709 1.684 1.661 1.641 1.622 1.605 1.589 564 1.806 1.769 1.738 1.709 1.684 1.661 1.641 1.622 1.605 1.589 565 1.806 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 566 1.806 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 567 1.806 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 568 1.806 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 569 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 570 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 571 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 572 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 573 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 574 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 575 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 576 1.805 1.769 1.737 1.709 1.684 1.661 1.641 1.622 1.605 1.589 577 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.605 1.589 578 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.605 1.589 579 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.605 1.589 580 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.604 1.589 581 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.604 1.589 582 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.604 1.589 583 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.604 1.589 584 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.604 1.589 585 1.805 1.769 1.737 1.709 1.684 1.661 1.640 1.622 1.604 1.589 586 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.589 587 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.588 588 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.588 589 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.588 590 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.588 591 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.588 592 1.805 1.769 1.737 1.709 1.683 1.661 1.640 1.621 1.604 1.588 593 1.805 1.769 1.737 1.708 1.683 1.661 1.640 1.621 1.604 1.588 594 1.805 1.768 1.737 1.708 1.683 1.661 1.640 1.621 1.604 1.588 595 1.805 1.768 1.737 1.708 1.683 1.661 1.640 1.621 1.604 1.588 596 1.805 1.768 1.737 1.708 1.683 1.660 1.640 1.621 1.604 1.588 597 1.805 1.768 1.737 1.708 1.683 1.660 1.640 1.621 1.604 1.588 598 1.805 1.768 1.737 1.708 1.683 1.660 1.640 1.621 1.604 1.588 599 1.805 1.768 1.737 1.708 1.683 1.660 1.640 1.621 1.604 1.588 600 1.805 1.768 1.736 1.708 1.683 1.660 1.640 1.621 1.604 1.588

χ2分布临界值表

2χ分布临界值表 ()(){}2P n n αχχα=2 1-> n 0.995 0.99 0.975 0.95 0.90 0.75 0.25 0.10 0.05 0.025 0.01 0.005 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 38 40 41 42 43 44 45 __ 0.010 0.072 0.207 0.412 0.676 0.989 1.344 1.735 2.156 2.603 3.074 3.565 4.075 4.601 5.142 5.697 6.265 6.844 7.434 8.034 8.643 9.260 9.886 10.520 11.160 11.808 12.461 13.121 13.787 14.458 15.134 15.815 16.501 17.192 17.887 18.586 19.289 19.996 20.707 21.421 22.138 22.859 23.584 24.311 __ 0.020 0.115 0.297 0.554 0.872 1.239 1.646 2.088 2.558 3.053 3.571 4.107 4.660 5.229 5.812 6.408 7.015 7.633 8.260 8.897 9.542 10.196 10.856 11.524 12.198 12.879 13.565 14.257 14.954 15.655 16.362 17.074 17.789 18.509 19.233 19.960 20.691 21.426 22.164 22.906 23.650 24.398 25.148 25.901 0.001 0.051 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 3.816 4.404 5.009 5.629 6.262 6.908 7.564 8.231 8.907 9.591 10.283 10.982 11.689 12.401 13.120 13.844 14.573 15.308 16.047 16.791 17.539 18.291 19.047 19.806 20.569 21.336 22.106 22.878 23.654 24.433 25.215 25.999 26.785 27.575 28.366 0.004 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.325 3.940 4.575 5.226 5.892 6.571 7.261 7.962 8.672 9.390 10.117 10.851 11.591 12.338 13.091 13.848 14.611 15.379 16.151 16.928 17.708 18.493 19.281 20.072 20.867 21.664 22.465 23.269 24.075 24.884 25.695 26.509 27.326 28.144 28.965 29.987 30.612 0.016 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 5.578 6.304 7.042 7.790 8.547 9.312 10.085 10.865 11.651 12.443 13.240 14.042 14.848 15.659 16.473 17.292 18.114 18.939 19.768 20.599 21.434 22.271 23..100 23.952 24.797 25.643 26.492 27.343 28.196 29.051 29.907 30.765 31.625 32.487 33.350 0.102 0.575 1.213 1.923 2.675 3.455 4.255 5.071 5.899 6.737 7.584 8.438 9.299 10.165 11.037 11.912 12.792 13.675 14.562 15.452 16.344 17.240 18.137 19.037 19.939 20.843 21.749 22.657 23.567 24.478 25.390 26.304 27.219 28.136 29.054 29.973 30.893 31.815 32.737 33.660 34.585 35.510 36.436 37.363 38.291 1.323 2.773 4.108 5.385 6.626 7.841 9.037 10.219 11.389 12.549 1 3.701 1 4.845 1 5.984 17.117 18.245 19.369 20.489 21.605 22.718 23.828 24.935 2 6.039 2 7.141 2 8.241 2 9.339 30.435 31.528 32.620 33.711 34.800 35.887 36.973 38.058 39.141 40.223 41.304 42.383 43.462 44.539 45.616 46.692 47.766 48.840 49.913 50.985 2.706 4.605 6.251 7.779 9.236 10.645 12.017 1 3.362 1 4.684 1 5.987 17275 18.549 19.812 21.064 22.307 23.542 24.769 25.989 27.204 28.412 29.615 30.813 32.007 33.196 34.382 35.563 3 6.741 3 7.916 39.087 40.256 41.422 42.585 43.745 44.903 46.059 47.212 4 8.363 4 9.513 50.660 51.805 52.949 54.090 55.230 56.369 57.505 3.841 5.991 7.815 9.488 11.071 12.592 1 4.067 1 5.507 1 6.919 18.307 19.675 21.026 22.362 23.685 24.966 26.296 2 7.587 2 8.869 30.144 31.410 32.671 33.924 35.172 36.415 37.652 38.885 40.113 41.337 42.557 43.773 44.985 46.194 47.400 48.602 4 9.802 50.998 52.192 53.384 54.572 55.758 56.942 58.124 59.304 60.481 61.656 5.024 7.378 9.348 11.143 12.833 14.449 1 6.013 1 7.535 19.023 20.483 21.920 23.337 24.736 16.119 27.488 2 8.845 30.191 31.526 32.852 34.170 35.479 36.781 38.076 3 9.364 40.646 41.923 43.194 44.461 45.722 46.979 48.232 49.480 50.725 51.966 53.203 54.437 55.668 56.896 58.120 59.342 60.561 61.777 62.990 64.201 65.410 6.635 9.210 11.345 13.277 15.086 16.812 18.475 20.090 21.666 23.209 24.725 26.217 2 7.688 29.141 30.578 32.000 33.409 34.805 36.191 37.566 3 8.932 40.289 41.638 42.980 44.314 45.642 46.963 48.278 4 9.588 50.892 52.191 53.486 54.776 56.061 57.342 58.619 59.892 61.162 62.428 63.691 64.950 66.206 67.459 68.710 69.957 7.879 10.597 12.838 14.860 16.750 18.548 20.278 21.955 23.589 25.188 26.757 28.299 29.819 31.319 32.801 34.267 35.718 37.156 38.582 39.997 41.401 42.796 44.181 45.559 46.928 48.290 49.645 50.993 52.336 53.672 55.003 56.328 57.648 58.964 60.275 61.581 62.883 64.181 65.476 66.766 68.053 69.336 70.616 71.893 73.166

F检验临界值表(α=0.1(b))

自由度(df)11 12 13 14 15 16 17 18 19 20 n -m -1160.47360.70560.90361.07361.22061.35061.46461.56661.65861.74029.4019.4089.4159.4209.4259.4299.4339.4369.4399.4413 5.222 5.216 5.210 5.205 5.200 5.196 5.193 5.190 5.187 5.1844 3.907 3.896 3.886 3.878 3.870 3.864 3.858 3.853 3.849 3.8445 3.282 3.268 3.257 3.247 3.238 3.230 3.223 3.217 3.212 3.2076 2.920 2.905 2.892 2.881 2.871 2.863 2.855 2.848 2.842 2.8367 2.684 2.668 2.654 2.643 2.632 2.623 2.615 2.607 2.601 2.5958 2.519 2.502 2.488 2.475 2.464 2.455 2.446 2.438 2.431 2.4259 2.396 2.379 2.364 2.351 2.340 2.329 2.320 2.312 2.305 2.29810 2.302 2.284 2.269 2.255 2.244 2.233 2.224 2.215 2.208 2.20111 2.227 2.209 2.193 2.179 2.167 2.156 2.147 2.138 2.130 2.12312 2.166 2.147 2.131 2.117 2.105 2.094 2.084 2.075 2.067 2.06013 2.116 2.097 2.080 2.066 2.053 2.042 2.032 2.023 2.014 2.00714 2.073 2.054 2.037 2.022 2.010 1.998 1.988 1.978 1.970 1.96215 2.037 2.017 2.000 1.985 1.972 1.961 1.950 1.941 1.932 1.92416 2.005 1.985 1.968 1.953 1.940 1.928 1.917 1.908 1.899 1.89117 1.978 1.958 1.940 1.925 1.912 1.900 1.889 1.879 1.870 1.86218 1.954 1.933 1.916 1.900 1.887 1.875 1.864 1.854 1.845 1.83719 1.932 1.912 1.894 1.878 1.865 1.852 1.841 1.831 1.822 1.81420 1.913 1.892 1.875 1.859 1.845 1.833 1.821 1.811 1.802 1.79421 1.896 1.875 1.857 1.841 1.827 1.815 1.803 1.793 1.784 1.77622 1.880 1.859 1.841 1.825 1.811 1.798 1.787 1.777 1.768 1.75923 1.866 1.845 1.827 1.811 1.796 1.784 1.772 1.762 1.753 1.74424 1.853 1.832 1.814 1.797 1.783 1.770 1.759 1.748 1.739 1.73025 1.841 1.820 1.802 1.785 1.771 1.758 1.746 1.736 1.726 1.71826 1.830 1.809 1.790 1.774 1.760 1.747 1.735 1.724 1.715 1.70627 1.820 1.799 1.780 1.764 1.749 1.736 1.724 1.714 1.704 1.69528 1.811 1.790 1.771 1.754 1.740 1.726 1.715 1.704 1.694 1.68529 1.802 1.781 1.762 1.745 1.731 1.717 1.705 1.695 1.685 1.67630 1.794 1.773 1.754 1.737 1.722 1.709 1.697 1.686 1.676 1.66731 1.787 1.765 1.746 1.729 1.714 1.701 1.689 1.678 1.668 1.65932 1.780 1.758 1.739 1.722 1.707 1.694 1.682 1.671 1.661 1.65233 1.773 1.751 1.732 1.715 1.700 1.687 1.675 1.664 1.654 1.64534 1.767 1.745 1.726 1.709 1.694 1.680 1.668 1.657 1.647 1.63835 1.761 1.739 1.720 1.703 1.688 1.674 1.662 1.651 1.641 1.63236 1.756 1.734 1.715 1.697 1.682 1.669 1.656 1.645 1.635 1.62637 1.751 1.729 1.709 1.692 1.677 1.663 1.651 1.640 1.630 1.62038 1.746 1.724 1.704 1.687 1.672 1.658 1.646 1.635 1.624 1.61539 1.741 1.719 1.700 1.682 1.667 1.653 1.641 1.630 1.619 1.61040 1.737 1.715 1.695 1.678 1.662 1.649 1.636 1.625 1.615 1.60541 1.733 1.710 1.691 1.673 1.658 1.644 1.632 1.620 1.610 1.601 自变量数目（m ） 显著性水平：α=0.1F 检验临界值表（α=0.1(b)）

卡方检验临界值表

卡方检验临界值表 自由度显著性水平（a） 0.50 0.25 0.10 0.05 0.03 0.01 10.455 1.323 2.706 3.841 5.024 6.635 2 1.386 2.77 3 4.605 5.991 7.378 9.210 3 2.366 4.108 6.251 7.815 9.348 11.345 4 3.357 5.38 5 7.779 9.488 11.143 13.277 5 4.351 6.62 6 9.236 11.070 12.833 15.086 6 5.348 7.841 10.645 12.592 14.449 16.812 7 6.346 9.037 12.017 14.067 16.013 18.475 87.344 10.219 13.362 15.507 17.535 20.090 98.343 11.389 14.684 16.919 19.023 21.666 109.342 12.549 15.987 18.307 20.483 23.209 1110.341 13.701 17.275 19.675 21.920 24.725 1211.340 14.845 18.549 21.026 23.337 26.217 1312.340 15.984 19.812 22.362 24.736 27.688 1413.339 17.117 21.064 23.685 26.119 29.141 1514.339 18.245 22.307 24.996 27.488 30.578 1615.338 19.369 23.542 26.296 28.845 32.000 1716.338 20.489 24.769 27.587 30.191 33.409 1817.338 21.605 25.989 28.869 31.526 34.805 1918.338 22.718 27.204 30.144 32.852 36.191 2019.337 23.828 28.412 31.410 34.170 37.566 2120.337 24.935 29.615 32.671 35.479 38.932 2221.337 26.039 30.813 33.924 36.781 40.289 2322.337 27.141 32.007 35.172 38.076 41.638 2423.337 28.241 33.196 36.415 39.364 42.980 2524.337 29.339 34.382 37.652 40.646 44.314 2625.336 30.435 35.563 38.885 41.923 45.642 2726.336 31.528 36.741 40.113 43.195 46.963 2827.336 32.620 37.916 41.337 44.461 48.278 2928.336 33.711 39.087 42.557 45.722 49.588 3029.336 34.800 40.256 43.773 46.979 50.892 3130.336 35.887 41.422 44.985 48.232 52.191 3231.336 36.973 42.585 46.194 49.480 53.486

卡方检验临界值表

卡方检验临界值表 自由度显著性水平（a ） 0.50 0.25 0.10 0.05 0.03 0.01 1 0.455 1.323 2.706 3.841 5.024 6.635 2 1.386 2.77 3 4.605 5.991 7.378 9.210 3 2.366 4.108 6.251 7.815 9.348 11.345 4 3.357 5.38 5 7.779 9.488 11.143 13.277 5 4.351 6.62 6 9.236 11.070 12.833 15.086 6 5.348 7.841 10.645 12.592 14.449 16.812 7 6.346 9.037 12.017 14.067 16.013 18.475 8 7.344 10.219 13.362 15.507 17.535 20.090 9 8.343 11.389 14.684 16.919 19.023 21.666 10 9.342 12.549 15.987 18.307 20.483 23.209 11 10.341 13.701 17.275 19.675 21.920 24.725 12 11.340 14.845 18.549 21.026 23.337 26.217 13 12.340 15.984 19.812 22.362 24.736 27.688 14 13.339 17.117 21.064 23.685 26.119 29.141 15 14.339 18.245 22.307 24.996 27.488 30.578 16 15.338 19.369 23.542 26.296 28.845 32.000 17 16.338 20.489 24.769 27.587 30.191 33.409 18 17.338 21.605 25.989 28.869 31.526 34.805 19 18.338 22.718 27.204 30.144 32.852 36.191 20 19.337 23.828 28.412 31.410 34.170 37.566 21 20.337 24.935 29.615 32.671 35.479 38.932 22 21.337 26.039 30.813 33.924 36.781 40.289 23 22.337 27.141 32.007 35.172 38.076 41.638 24 23.337 28.241 33.196 36.415 39.364 42.980 25 24.337 29.339 34.382 37.652 40.646 44.314 26 25.336 30.435 35.563 38.885 41.923 45.642 27 26.336 31.528 36.741 40.113 43.195 46.963 28 27.336 32.620 37.916 41.337 44.461 48.278 29 28.336 33.711 39.087 42.557 45.722 49.588 30 29.336 34.800 40.256 43.773 46.979 50.892 31 30.336 35.887 41.422 44.985 48.232 52.191 32 31.336 36.973 42.585 46.194 49.480 53.486

卡方分布表

WORD格式 x 2 分布临界值表（卡方分布） P n＇ 0.995 0.99 0.975 0.95 0.9 0.75 0.5 0.25 0.1 0.05 0.025 0.01 0.005 1 ????0.0 2 0.1 0.45 1.32 2.71 3.84 5.02 6.6 3 7.88 2 0.01 0.02 0.02 0.1 0.21 0.58 1.39 2.77 4.61 5.99 7.38 9.21 10.6 3 0.07 0.11 0.22 0.35 0.58 1.21 2.37 4.11 6.25 7.81 9.35 11.3 4 12.84 4 0.21 0.3 0.48 0.71 1.06 1.92 3.36 5.39 7.78 9.49 11.14 13.28 14.86 5 0.41 0.55 0.83 1.15 1.61 2.67 4.35 6.63 9.24 11.07 12.83 15.09 16.75 6 0.68 0.8 7 1.24 1.64 2.2 3.45 5.35 7.84 10.64 12.59 14.45 16.81 18.55 7 0.99 1.24 1.69 2.17 2.83 4.25 6.35 9.04 12.02 14.07 16.01 18.48 20.28 8 1.34 1.65 2.18 2.73 3.4 5.07 7.34 10.22 13.36 15.51 17.53 20.09 21.96 9 1.73 2.09 2.7 3.33 4.17 5.9 8.34 11.39 14.68 16.92 19.02 21.67 23.59 10 2.16 2.56 3.25 3.94 4.87 6.74 9.34 12.55 15.99 18.31 20.48 23.21 25.19 11 2.6 3.05 3.82 4.57 5.58 7.58 10.34 13.7 17.28 19.68 21.92 24.72 26.76 12 3.07 3.57 4.4 5.23 6.3 8.44 11.34 14.85 18.55 21.03 23.34 26.22 28.3 13 3.57 4.11 5.01 5.89 7.04 9.3 12.34 15.98 19.81 22.36 24.74 27.69 29.82 14 4.07 4.66 5.63 6.57 7.79 10.17 13.34 17.12 21.06 23.68 26.12 29.14 31.32 15 4.6 5.23 6.27 7.26 8.55 11.04 14.34 18.25 22.31 25 27.49 30.58 32.8 16 5.14 5.81 6.91 7.96 9.31 11.91 15.34 19.37 23.54 26.3 28.85 32 34.27 17 5.7 6.41 7.56 8.67 10.09 12.79 16.34 20.49 24.77 27.59 30.19 33.41 35.72 18 6.26 7.01 8.23 9.39 10.86 13.68 17.34 21.6 25.99 28.87 31.53 34.81 37.16 19 6.84 7.63 8.91 10.12 11.65 14.56 18.34 22.72 27.2 30.14 32.85 36.19 38.58 20 7.43 8.26 9.59 10.85 12.44 15.45 19.34 23.83 28.41 31.41 34.17 37.57 40 21 8.03 8.9 10.28 11.59 13.24 16.34 20.34 24.93 29.62 32.67 35.48 38.93 41.4 22 8.64 9.54 10.98 12.34 14.04 17.24 21.34 26.04 30.81 33.92 36.78 40.29 42.8 23 9.26 10.2 11.69 13.09 14.85 18.14 22.34 27.14 32.01 35.17 38.08 41.64 44.18 24 9.89 10.86 12.4 13.85 15.66 19.04 23.34 28.24 33.2 36.42 39.36 42.98 45.56 25 10.52 11.52 13.12 14.61 16.47 19.94 24.34 29.34 34.38 37.65 40.65 44.31 46.93 26 11.16 12.2 13.84 15.38 17.29 20.84 25.34 30.43 35.56 38.89 41.92 45.64 48.29 27 11.81 12.88 14.57 16.15 18.11 21.75 26.34 31.53 36.74 40.11 43.19 46.96 49.64 28 12.46 13.56 15.31 16.93 18.94 22.66 27.34 32.62 37.92 41.34 44.46 48.28 50.99 29 13.12 14.26 16.05 17.71 19.77 23.57 28.34 33.71 39.09 42.56 45.72 49.59 52.34 30 13.79 14.95 16.79 18.49 20.6 24.48 29.34 34.8 40.26 43.77 46.98 50.89 53.67 40 20.71 22.16 24.43 26.51 29.05 33.66 39.34 45.62 51.8 55.76 59.34 63.69 66.77 50 27.99 29.71 32.36 34.76 37.69 42.94 49.33 56.33 63.17 67.5 71.42 76.15 79.49 60 35.53 37.48 40.48 43.19 46.46 52.29 59.33 66.98 74.4 79.08 83.3 88.38 91.95 70 43.28 45.44 48.76 51.74 55.33 61.7 69.33 77.58 85.53 90.53 95.02 100.42 104.22 80 51.17 53.54 57.15 60.39 64.28 71.14 79.33 88.13 96.58 101.88 106.63 112.33 116.32 90 59.2 61.75 65.65 69.13 73.29 80.62 89.33 98.64 107.56 113.14 118.14 124.12 128.3 100 67.33 70.06 74.22 77.93 82.36 90.13 99.33 109.14 118.5 124.34 129.56 135.81 140.17 专业资料

f检验临界值表怎么查

f检验临界值表怎么查 n是数据量k是自变量数目 1、找到相关系数显著性检验表; 2、然后确定自由度(n-m-1),n,m分别代表样本个数和未知量维度; 3、查找a0.01 ,a0.05,a.010对应的值; 4、将相关系数r与a比较,确定显著性水平. 我要提问t检验查表0.05和0.01怎么选择匿名分享到微博提交回答1 问: Excel相关系数的假设检验答: 详情>> 2 相关系数的假设检验回答2 3 eviews多元回归t检验和F检验临界值问题回答2 4 t 检验差 1、首先我要拿出F检验表了解自由度是多少,例如当a=0.01时,找到a=0.01的表; 2、下图红线所圈出的是以分位数为0.90,自由度为(6,8)的F分布为例.首先选择分位数为0.90的分位数表,然后找到上方一行的6,对应6下方的一列. 3、然后我们还要找到左侧一列中的8,对应8的那一行. 4、最后两者相交的那个数字就是需要查找的分位数为0.90,自由度为(6,8)的F分布的值.需要注意的是:F是一种非对称分布,有两个自由度,且位置不可互换.F分布表横坐标是x,纵坐标是y,一个分位点一张表,F0.05(7,9)就查分位点是0.05的那张表横坐标为7,纵坐标为9处的值.

=FINV(0.05,因子自由度,误差项自由度)一般取a=0.05,也可以取0.01,取决于你容忍的错误率.求出临界值后,再和F值比较如果F值>临界值表示此因子贡献显著,否则,不显著 [图文] 05时,F检验的临界值为F0.95(1,2)=18.5,下列结论正确的有().A.因子A,B均显著B.交互作用A*B不显著C A.因子A,B均显著B.交互作用A*B不显著C.因子C,D均不显著D.最优搭配为A1B2C2D2/ 此题 就看sig值就可以了,代表的就是显著性结果P值,P=0.756>0.05,表明结果没有统计学差异. 这个由你所需要的置信区间(通俗的说就是要求的准确率)来确定,一般是选择0.05,也就是你的置信几率是95%. 回归的检验首先看anova那个表,也就是f检验,那个表代表的是对你进行回归的所有自变量的回归系数的一个总体检验,如果sig<0.05,说明至少有一个自变量能够有效预测因变量,这个在写数据分析结果时一般可以不报告然后看系数表,看标准化的回归系数是否显著,每个自变量都有一个对应的回归系数以及显著性检验 F大概接近200,相伴概率几乎为0,已经足够说明y与这三个变量总体

卡方分布概念及表和查表方法

若n个相互独立的随机变量ξ?，ξ?，...,ξn，均服从标准正态分布（也称独立同分布于标准正态分布），则这n个服从标准正态分布的随机变量的平方和构成一新的随机变量，其分布规律称为卡方分布（chi-square distribution）。 目录 1简介 2定义 3性质 4概率表 简介 分布在数理统计中具有重要意义。分布是由阿贝(Abbe)于1863年首先提出的，后来由海尔墨特(Hermert)和现代统计学的奠基人之一的卡·皮尔逊(C K·Pearson)分别于1875年和1900年推导出来，是统计学中的一个非常有用的著名分布。 定义 若n个相互独立的随机变量ξ?、ξ?、……、ξn ，均服从标准正态分布（也称独立同分布于标准正态分布），则这n个服从标准正态分布的随机变量的平方和构成一新的随机变量，其分布规律称为分布（chi-square distribution）， 卡方分布是由正态分布构造而成的一个新的分布，当自由度很大时，分布近似为正态分布。

对于任意正整数x，自由度为的卡方分布是一个随机变量X的机率分布。 性质 1) 分布在第一象限内，卡方值都是正值，呈正偏态（右偏态），随着参数 的增大，分布趋近于正态分布；卡方分布密度曲线下的面积都是1。 2) 分布的均值与方差可以看出，随着自由度的增大，分布向正无穷方向延伸（因为均值越来越大），分布曲线也越来越低阔（因为方差越来越大）。 3）不同的自由度决定不同的卡方分布，自由度越小，分布越偏斜。 4) 若互相独立，则：服从分布，自由度为 。 5) 分布的均数为自由度，记为 E( ) = 。 6) 分布的方差为2倍的自由度( )，记为 D( ) = 。 概率表 分布不象正态分布那样将所有正态分布的查表都转化为标准正态分布去查，在 分布中得对每个分布编制相应的概率值，这通过分布表中列出不同的自由度来表示， 查分布概率表时，按自由度及相应的概率去找到对应的值。如上图所示的单侧概率(7)=的查表方法就是，在第一列找到自由度7这一行，在第一行中找到概率这一列，行列的交叉处即是。 表中所给值直接只能查单侧概率值，可以变化一下来查双侧概率值。例如，要在自由度为7的卡方分布中，得到双侧概率为所对应的上下端点可以这样来考虑：双侧概率指的是在

F检验临界值表(α=0.05(a))

自由度(df)1 2 3 4 5 6 7 8 9 10 n -m -11161.448199.500215.707224.583230.162233.986236.768238.883240.543241.882218.51319.00019.16419.24719.29619.33019.35319.37119.38519.396310.1289.5529.2779.1179.0138.9418.8878.8458.8128.78647.709 6.944 6.591 6.388 6.256 6.163 6.094 6.041 5.999 5.9645 6.608 5.786 5.409 5.192 5.050 4.950 4.876 4.818 4.772 4.7356 5.987 5.143 4.757 4.534 4.387 4.284 4.207 4.147 4.099 4.0607 5.591 4.737 4.347 4.120 3.972 3.866 3.787 3.726 3.677 3.6378 5.318 4.459 4.066 3.838 3.687 3.581 3.500 3.438 3.388 3.3479 5.117 4.256 3.863 3.633 3.482 3.374 3.293 3.230 3.179 3.13710 4.965 4.103 3.708 3.478 3.326 3.217 3.135 3.072 3.020 2.97811 4.844 3.982 3.587 3.357 3.204 3.095 3.012 2.948 2.896 2.85412 4.747 3.885 3.490 3.259 3.106 2.996 2.913 2.849 2.796 2.75313 4.667 3.806 3.411 3.179 3.025 2.915 2.832 2.767 2.714 2.67114 4.600 3.739 3.344 3.112 2.958 2.848 2.764 2.699 2.646 2.60215 4.543 3.682 3.287 3.056 2.901 2.790 2.707 2.641 2.588 2.54416 4.494 3.634 3.239 3.007 2.852 2.741 2.657 2.591 2.538 2.49417 4.451 3.592 3.197 2.965 2.810 2.699 2.614 2.548 2.494 2.45018 4.414 3.555 3.160 2.928 2.773 2.661 2.577 2.510 2.456 2.41219 4.381 3.522 3.127 2.895 2.740 2.628 2.544 2.477 2.423 2.37820 4.351 3.493 3.098 2.866 2.711 2.599 2.514 2.447 2.393 2.34821 4.325 3.467 3.072 2.840 2.685 2.573 2.488 2.420 2.366 2.32122 4.301 3.443 3.049 2.817 2.661 2.549 2.464 2.397 2.342 2.29723 4.279 3.422 3.028 2.796 2.640 2.528 2.442 2.375 2.320 2.27524 4.260 3.403 3.009 2.776 2.621 2.508 2.423 2.355 2.300 2.25525 4.242 3.385 2.991 2.759 2.603 2.490 2.405 2.337 2.282 2.23626 4.225 3.369 2.975 2.743 2.587 2.474 2.388 2.321 2.265 2.22027 4.210 3.354 2.960 2.728 2.572 2.459 2.373 2.305 2.250 2.20428 4.196 3.340 2.947 2.714 2.558 2.445 2.359 2.291 2.236 2.19029 4.183 3.328 2.934 2.701 2.545 2.432 2.346 2.278 2.223 2.17730 4.171 3.316 2.922 2.690 2.534 2.421 2.334 2.266 2.211 2.16531 4.160 3.305 2.911 2.679 2.523 2.409 2.323 2.255 2.199 2.15332 4.149 3.295 2.901 2.668 2.512 2.399 2.313 2.244 2.189 2.14233 4.139 3.285 2.892 2.659 2.503 2.389 2.303 2.235 2.179 2.13334 4.130 3.276 2.883 2.650 2.494 2.380 2.294 2.225 2.170 2.12335 4.121 3.267 2.874 2.641 2.485 2.372 2.285 2.217 2.161 2.11436 4.113 3.259 2.866 2.634 2.477 2.364 2.277 2.209 2.153 2.10637 4.105 3.252 2.859 2.626 2.470 2.356 2.270 2.201 2.145 2.09838 4.098 3.245 2.852 2.619 2.463 2.349 2.262 2.194 2.138 2.09139 4.091 3.238 2.845 2.612 2.456 2.342 2.255 2.187 2.131 2.08440 4.085 3.232 2.839 2.606 2.449 2.336 2.249 2.180 2.124 2.07741 4.079 3.226 2.833 2.600 2.443 2.330 2.243 2.174 2.118 2.071 自变量数目（m ） 显著性水平：α=0.05 F 检验临界值表（α=0.05(a)）

统计分布临界值表

附录 附表一：随机数表 _________________________________________________________________________ 2附表二：标准正态分布表 ___________________________________________________________________ 3附表三：t分布临界值表____________________________________________________________________ 4 附表四： 2 分布临界值表 __________________________________________________________________ 5 附表五：F分布临界值表（α=0.05）________________________________________________________ 7附表六：单样本K-S检验统计量表___________________________________________________________ 9附表七：符号检验界域表 __________________________________________________________________ 10附表八：游程检验临界值表 _________________________________________________________________ 11附表九：相关系数临界值表 ________________________________________________________________ 12附表十：Spearman等级相关系数临界值表 ___________________________________________________ 13附表十一：Kendall等级相关系数临界值表 ___________________________________________________ 14附表十二：控制图系数表 __________________________________________________________________ 15

卡方分布概念及表和查表方法

卡方分布概念及表和查表方法 若n个相互独立的随机变量ξ?，ξ?，...,ξn，均服从标准正态分布（也称独立同分布于标准正态分布），则这n个服从标准正态分布的随机变量的平方和构成一新的随机变量，其分布规律称为卡方分布（chi-square distribution）。 中文名卡方分布外文名chi-square distribution 别称西格玛分布提出者Friedrich Robert Helmert 提出时间1863应用学科统计学 目录 1 简介 2 定义 3 性质 4 概率表 简介 分布在数理统计中具有重要意义。分布是由阿贝(Abbe)于1863年首先提出的，后来由海尔墨特(Hermert)和现代统计学的奠基人之一的卡·皮尔逊(C K·Pearson)分别于1875年和1900年推导出来，是统计学中的一个非常有用的著名分布。 定义 若n个相互独立的随机变量ξ?、ξ?、……、ξn ，均服从标准正态分布（也称独立同分布于标准正态分布），则这n个服从标准正态分布的随机变量的平方和

构成一新的随机变量，其分布规律称为分布（chi-square distribution）， 卡方分布 其中参数称为自由度，正如正态分布中均数或方差不同就是另一个正态分布一样，自由度不同就是另一个分布。记 为或者（其中，为限制条件数）。 卡方分布是由正态分布构造而成的一个新的分布，当自由 度很大时，分布近似为正态分布。 对于任意正整数x，自由度为的卡方分布是一个随机变量X的机率分布。 性质 1) 分布在第一象限内，卡方值都是正值，呈正偏态（右偏态），随着参数 的增大，分布趋近于正态分布；卡方分布密度曲线下的面积都是1。 2) 分布的均值与方差可以看出，随着自由度的增大，分布向正无穷方向延伸（因为均值越来越大），分布曲线也越来越低阔（因为方差越来越大）。 3）不同的自由度决定不同的卡方分布，自由度越小，分布越偏斜。 4) 若互相独立，则：服 从分布，自由度为 。 5) 分布的均数为自由度，记为 E( ) = 。