The Essentials of Biostatistics for Physicians, Nurses, and Clinicians

(Ann) #1
2.5 Generating Bootstrap Samples 31

Bootstrap sample 1 : 69386, 71708, 88608, 67251, and 00169 cor-
responding to patients E, E, F, E, B, and A and ages 32, 32, 9, 32,
17, 26, with bootstrap mean estimate 24.67.
Bootstrap sample 2 : 68381, 61725, 49122, 75836, 15368, and 52551
corresponding to patients E, D, C, E, A, and D, and ages 32, 70,45,
32, 26, and 70, with bootstrap mean estimate 45.83.
Bootstrap sample 3 : 69158, 38683, 41374, 17028, 09304, and 10834
corresponding to patients E, C, C, B, A, and A, and ages 32, 45, 45,
17, 26, and 26, with bootstrap mean estimate 31.83.
Bootstrap sample 4 : 00858, 04352, 17833, 41105, 46569, and 90109
corresponding to patients A, A, B, C, C, and F, and ages 26, 26, 17,
45, 45, and 9, with bootstrap mean estimate 28.00.
Bootstrap sample 5 : 86972, 51707, 58242, 16035, 94887, and 83510
corresponding to patients F, D, D, A, F, and F, and ages 9, 70, 70,
26, 9, and 9, with bootstrap mean estimate 32.17.
Bootstrap sample 6 : 30606, 45225, 30161, 07973, 03034, and 82983
corresponding to patients B, C, B, A, A, and E, and ages 17, 45, 17,
26, 26, and 32, with bootstrap mean estimate 27.17.
Bootstrap sample 7 : 93864, 49044, 57169, 43125, 11703, and 87009
corresponding to patients F, C, D, C, A, and F, and ages 9, 45, 70,
45, 26 and 9, with bootstrap mean estimate 34.0.
Bootstrap sample 8 : 61937, 90217, 56708, 35351, 60820, and 90729
corresponding to patients D, F, D, C, D, and F, and ages 70, 9, 70,
45, 70 and 9, with bootstrap mean estimate 45.5.
Bootstrap sample 9 : 94551, 69538, 52924, 08530, 79302, and 34981
corresponding to patients F, E, D, A, D, and C, and ages 9, 32, 70,
26, 70 and 45, with bootstrap mean estimate 42.0.
Bootstrap sample 10 : 68381, 61725, 49122, 75836, 15368, and
52551 corresponding to patients E, C, C, D, E, and B, and ages 32,
45, 45, 70, and 17, with bootstrap mean estimate 33.83.

The mean of the bootstrap distribution is (24.67 + 45.83 + 31.83



  • 28.0 + 32.17 + 27.17 + 34.0 + 45.5 + 42.0 + 34.83)/10 = 31.88.
    The bootstrap mean will converge to the true mean for the six patients
    as the number of bootstrap samples B gets large. As we already

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