From: Confidence intervals construction for difference of two means with incomplete correlated data
Bivariate normal distribution | ||||||||||||
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ρ | δ | μ 1 | μ 2 | T 3 | T 4 | T 5 | W s | W a | B 1 | B 2 | B 3 | B 4 |
-0.9 | -0.25 | 0 | 0.25 | 0.935 | 0.960 | 0.906 | 0.920 | 0.880 | 0.952 | 0.954 | 0.947 | 0.954 |
0 | 1 | 1 | 0.944 | 0.956 | 0.894 | 0.920 | 0.869 | 0.946 | 0.947 | 0.933 | 0.947 | |
0.5 | 2 | 1.5 | 0.944 | 0.967 | 0.902 | 0.931 | 0.883 | 0.951 | 0.953 | 0.942 | 0.951 | |
-0.5 | -0.25 | 0 | 0.25 | 0.941 | 0.961 | 0.903 | 0.910 | 0.861 | 0.942 | 0.943 | 0.939 | 0.943 |
0 | 1 | 1 | 0.937 | 0.958 | 0.900 | 0.915 | 0.862 | 0.950 | 0.952 | 0.949 | 0.951 | |
0.5 | 2 | 1.5 | 0.941 | 0.962 | 0.898 | 0.925 | 0.882 | 0.952 | 0.957 | 0.952 | 0.957 | |
-0.1 | -0.25 | 0 | 0.25 | 0.933 | 0.958 | 0.900 | 0.903 | 0.838 | 0.944 | 0.945 | 0.945 | 0.946 |
0 | 1 | 1 | 0.939 | 0.966 | 0.907 | 0.912 | 0.853 | 0.952 | 0.951 | 0.954 | 0.953 | |
0.5 | 2 | 1.5 | 0.943 | 0.975 | 0.924 | 0.943 | 0.892 | 0.961 | 0.959 | 0.960 | 0.959 | |
0 | -0.25 | 0 | 0.25 | 0.936 | 0.964 | 0.914 | 0.913 | 0.860 | 0.949 | 0.949 | 0.950 | 0.950 |
0 | 1 | 1 | 0.925 | 0.959 | 0.906 | 0.908 | 0.861 | 0.941 | 0.941 | 0.940 | 0.940 | |
0.5 | 2 | 1.5 | 0.932 | 0.968 | 0.913 | 0.924 | 0.887 | 0.952 | 0.952 | 0.951 | 0.951 | |
0.1 | -0.25 | 0 | 0.25 | 0.922 | 0.960 | 0.918 | 0.911 | 0.858 | 0.948 | 0.948 | 0.948 | 0.947 |
0 | 1 | 1 | 0.923 | 0.963 | 0.909 | 0.906 | 0.859 | 0.944 | 0.946 | 0.944 | 0.944 | |
0.5 | 2 | 1.5 | 0.928 | 0.969 | 0.913 | 0.935 | 0.889 | 0.946 | 0.947 | 0.947 | 0.946 | |
0.5 | -0.25 | 0 | 0.25 | 0.927 | 0.968 | 0.923 | 0.904 | 0.843 | 0.950 | 0.947 | 0.934 | 0.947 |
0 | 1 | 1 | 0.928 | 0.964 | 0.923 | 0.913 | 0.857 | 0.942 | 0.944 | 0.935 | 0.947 | |
0.5 | 2 | 1.5 | 0.924 | 0.978 | 0.933 | 0.947 | 0.901 | 0.960 | 0.958 | 0.943 | 0.960 | |
0.9 | -0.25 | 0 | 0.25 | 0.913 | 0.947 | 0.974 | 0.929 | 0.880 | 0.951 | 0.951 | 0.777 | 0.951 |
0 | 1 | 1 | 0.908 | 0.952 | 0.976 | 0.930 | 0.883 | 0.947 | 0.955 | 0.781 | 0.951 | |
0.5 | 2 | 1.5 | 0.913 | 0.942 | 0.974 | 0.974 | 0.944 | 0.946 | 0.953 | 0.778 | 0.954 | |
Bivariate t-distribution | ||||||||||||
-0.9 | -0.25 | 0 | 0.25 | 0.922 | 0.972 | 0.908 | 0.929 | 0.870 | 0.952 | 0.953 | 0.946 | 0.956 |
0 | 1 | 1 | 0.915 | 0.973 | 0.914 | 0.935 | 0.868 | 0.948 | 0.943 | 0.937 | 0.948 | |
0.5 | 2 | 1.5 | 0.930 | 0.978 | 0.914 | 0.937 | 0.873 | 0.948 | 0.950 | 0.941 | 0.951 | |
-0.5 | -0.25 | 0 | 0.25 | 0.929 | 0.976 | 0.921 | 0.939 | 0.869 | 0.942 | 0.941 | 0.940 | 0.945 |
0 | 1 | 1 | 0.931 | 0.975 | 0.925 | 0.935 | 0.872 | 0.943 | 0.942 | 0.943 | 0.946 | |
0.5 | 2 | 1.5 | 0.922 | 0.971 | 0.910 | 0.924 | 0.868 | 0.953 | 0.951 | 0.950 | 0.955 | |
-0.1 | -0.25 | 0 | 0.25 | 0.932 | 0.973 | 0.922 | 0.925 | 0.856 | 0.951 | 0.951 | 0.955 | 0.954 |
0 | 1 | 1 | 0.926 | 0.971 | 0.924 | 0.923 | 0.859 | 0.941 | 0.942 | 0.946 | 0.947 | |
0.5 | 2 | 1.5 | 0.924 | 0.972 | 0.918 | 0.921 | 0.859 | 0.950 | 0.948 | 0.954 | 0.955 | |
0 | -0.25 | 0 | 0.25 | 0.919 | 0.973 | 0.921 | 0.918 | 0.852 | 0.944 | 0.944 | 0.949 | 0.949 |
0 | 1 | 1 | 0.925 | 0.972 | 0.923 | 0.925 | 0.864 | 0.940 | 0.940 | 0.947 | 0.947 | |
0.5 | 2 | 1.5 | 0.939 | 0.977 | 0.924 | 0.926 | 0.857 | 0.950 | 0.950 | 0.954 | 0.954 | |
0.1 | -0.25 | 0 | 0.25 | 0.930 | 0.971 | 0.929 | 0.928 | 0.857 | 0.954 | 0.954 | 0.956 | 0.956 |
0 | 1 | 1 | 0.929 | 0.982 | 0.927 | 0.928 | 0.857 | 0.949 | 0.949 | 0.950 | 0.951 | |
0.5 | 2 | 1.5 | 0.934 | 0.979 | 0.924 | 0.930 | 0.859 | 0.952 | 0.953 | 0.957 | 0.957 | |
0.5 | -0.25 | 0 | 0.25 | 0.929 | 0.973 | 0.947 | 0.940 | 0.864 | 0.944 | 0.950 | 0.942 | 0.951 |
0 | 1 | 1 | 0.920 | 0.976 | 0.937 | 0.928 | 0.861 | 0.943 | 0.944 | 0.936 | 0.946 | |
0.5 | 2 | 1.5 | 0.939 | 0.970 | 0.942 | 0.930 | 0.868 | 0.945 | 0.947 | 0.942 | 0.951 | |
0.9 | -0.25 | 0 | 0.25 | 0.923 | 0.969 | 0.978 | 0.943 | 0.880 | 0.939 | 0.938 | 0.797 | 0.939 |
0 | 1 | 1 | 0.920 | 0.966 | 0.977 | 0.952 | 0.887 | 0.939 | 0.942 | 0.795 | 0.949 | |
0.5 | 2 | 1.5 | 0.931 | 0.965 | 0.979 | 0.944 | 0.878 | 0.953 | 0.944 | 0.804 | 0.947 |