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Bashir Yunusa et al


            Table 4A: Timing for ring transfer in pelvis with manipulation   Table 4B: Time for ring transfer in pelvis with manipulation
                               angle 30°                                           angle 60º
           Sl.  Observed time  Expected             (O-E) 2   Sl.   Observed time  Expected              (O-E) 2
           no. in sec. (O)  time (E)   O-E  (O-E) 2      E    no.  in sec. (O)  time (E)  O-E   (O-E) 2       E
            1  27           33.2     6.2   38.44   1.16       1    15           20.1     – 5.1  26.01  1.29
            2  41                    7.8   60.84   1.83       2    19                    – 1.1  1.21   0.06
            3  35                    1.8   3.24    0.10       3    24                    3.9    15.21  0.76
            4  20                    – 13.2 174.24  5.25      4    22                    1.9    3.61   0.18
            5  38                    4.8   23.04   0.69       5    22                    1.9    3.61   0.18
            6  62                    28.8  829.44  24.98      6    25                    4.9    24.01  1.20
            7  48                    14.8  219.04  6.60       7    24                    3.9    15.21  0.76
            8  34                    0.8   0.64    0.02       8    22                    1.9    3.61   0.18
            9  48                    14.8  219.04  6.60       9    19                    – 1.1  1.21   0.06
           10  31                    – 2.2  4.84   0.15       10   16                    – 4.1  16.8   0.84
           11  30                    – 3.2  10.24  0.31       11   17                    – 3.1  9.61   0.48
           12  27                    – 6.2  38.44  1.16       12   19                    – 1.1  1.21   0.06
           13  38                    4.8   23.04   0.69       13   21                    0.9    0.81   0.00
           14  31                    – 2.2  4.84   0.15       14   17                    – 3.1  9.6    0.48
           15  39                    5.8   33.64   1.01       15   21                    0.9    0.81   0.00
           16  32                    1.2   1.44    0.04       16   25                    4.9    24.01  1.19
           17  42                    8.8   77.44   2.33       17   20                    – 0.1  0.01   0.00
           18  35                    1.8   3.24    0.10       18   20                    – 0.1  0.01   0.00
           19  25                    – 8.2  67.24  2.03       19   15                    – 5.1  26.01  1.29
           20  40                    6.8   46.24   1.39       20   19                    1.1    1.21   0.06
                                                    2
                                                                                                        2
               Average time =                      c  =            Average time =                      c  = 8.64
               33.2                                56.57           20.1
                          2
                                                                             2
           p-value (30.144) < c , so data are not reproducible  p-value (30.144) > c , so data are reproducible
            Table 4C: Timing for ring transfer in pelvis with manipulation   Table 4D: Average timing of ring transfer in the pelvis
                               angle 90º
                                                              Manipulation angle in degrees  30   60      90
           Sl.  Observed time   Expected             (O-E) 2  Mean timing in seconds     33.20    20.10   72.35
           no. in sec. (O)  time (E)   O-E   (O-E) 2        E  c 2                       56.57    8.64    44.33
            1  90           72.35   17.65  311.52  4.31
            2  82                   9.65   93.12  1.29
            3  85                   12.65  160.02  2.21
            4  75                   2.65   7.02   0.10
            5  54                   18.35  336.72  4.65
            6  60                   – 12.35 152.52  2.11
            7  96                   23.65  559.32  7.73
            8  59                   – 13.35 178.22  2.46
            9  74                   1.65   2.72   0.04
           10  49                   – 23.35 545.22  7.54
           11  56                   – 16.35 267.32  3.70
           12  69                   – 3.35  11.22  1.16
           13  86                   13.65  186.32  2.58
           14  87                   14.65  214.62  2.97
           15  67                   – 535  28.62  0.40
           16  63                   – 9.35  87.42  1.20
           17  68                   – 4.35  18.92  0.26
           18  79                   6.65   44.22  0.61
           19  73                   0.65   0.42   0.01          Fig. 8: estimation of manipulation angles determining ports’
           20  74                   1.65   2.72   0.04              positions on the dry lab anterior abdominal wall
                                                   2
               Average time =                     c  = 44.33
               72.35 seconds                                  and average obtained (Figs 6 to 9). The average timing in
           p-value (30.144), data are not reproducible        seconds for 30, 60 and 90º were 33.20, 20.10 and 72.35
          Fourth: Tables 4A to D showed readings of timing taken for  respectively. Here, only the readings at 60º manipulation
          ring transfer in the pelvic region of the dummies at diffe­  angle were reproducible at p­value (30.144), 5% level of
                                                       2
          rent manipulation angles, which were validated by χ  test  significance: which further support any port position that
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