|
| 1 | +% Data from StatLib (ftp stat.cmu.edu/datasets) |
| 2 | +% |
| 3 | +% SUMMARY: |
| 4 | +% |
| 5 | +% Data from an experiment on the affects of machine adjustments on |
| 6 | +% the time to count bolts. Data appear as the STATS (Issue 10) Challenge. |
| 7 | +% |
| 8 | +% DATA: |
| 9 | +% |
| 10 | +% Submitted by W. Robert Stephenson, Iowa State University |
| 11 | + |
| 12 | +% |
| 13 | +% A manufacturer of automotive accessories provides hardware, e.g. nuts, |
| 14 | +% bolts, washers and screws, to fasten the accessory to the car or truck. |
| 15 | +% Hardware is counted and packaged automatically. Specifically, bolts |
| 16 | +% are dumped into a large metal dish. A plate that forms the bottom of |
| 17 | +% the dish rotates counterclockwise. This rotation forces bolts to the |
| 18 | +% outside of the dish and up along a narrow ledge. Due to the vibration |
| 19 | +% of the dish caused by the spinning bottom plate, some bolts fall off |
| 20 | +% the ledge and back into the dish. The ledge spirals up to a point |
| 21 | +% where the bolts are allowed to drop into a pan on a conveyor belt. |
| 22 | +% As a bolt drops, it passes by an electronic eye that counts it. When |
| 23 | +% the electronic counter reaches the preset number of bolts, the |
| 24 | +% rotation is stopped and the conveyor belt is moved forward. |
| 25 | +% |
| 26 | +% There are several adjustments on the machine that affect its operation. |
| 27 | +% These include; a speed setting that controls the speed of rotation |
| 28 | +% (SPEED1) of the plate at the bottom of the dish, a total number of |
| 29 | +% bolts (TOTAL) to be counted, a second speed setting (SPEED2) that is |
| 30 | +% used to change the speed of rotation (usually slowing it down) for the |
| 31 | +% last few bolts, the number of bolts to be counted at this second speed |
| 32 | +% (NUMBER2), and the sensitivity of the electronic eye (SENS). The |
| 33 | +% sensitivity setting is to insure that the correct number of bolts are |
| 34 | +% counted. Too few bolts packaged causes customer complaints. Too many |
| 35 | +% bolts packaged increases costs. For each run conducted in this |
| 36 | +% experiment the correct number of bolts was counted. From an |
| 37 | +% engineering standpoint if the correct number of bolts is counted, the |
| 38 | +% sensitivity should not affect the time to count bolts. The measured |
| 39 | +% response is the time (TIME), in seconds, it takes to count the desired |
| 40 | +% number of bolts. In order to put times on a equal footing the |
| 41 | +% response to be analyzed is the time to count 20 bolts (T20BOLT). |
| 42 | +% Below are the data for 40 combinations of settings. RUN is the order |
| 43 | +% in which the data were collected. |
| 44 | +% |
| 45 | +% Analyze the data. What adjustments have the greatest effect on the |
| 46 | +% time to count 20 bolts? How would you adjust the machine to get |
| 47 | +% the shortest time to count 20 bolts? Are there any unusual features |
| 48 | +% to the data? |
| 49 | +% |
| 50 | +% The data description and data may be freely used for non-commercial |
| 51 | +% purposes and can be freely distributed. Copyright remains with the |
| 52 | +% author and STATS Magazine. |
| 53 | +% |
| 54 | + |
| 55 | +@relation bolts |
| 56 | + |
| 57 | +@attribute RUN integer |
| 58 | +@attribute SPEED1 integer |
| 59 | +@attribute TOTAL integer |
| 60 | +@attribute SPEED2 integer |
| 61 | +@attribute NUMBER2 integer |
| 62 | +@attribute SENS integer |
| 63 | +@attribute TIME real |
| 64 | +@attribute T20BOLT real |
| 65 | + |
| 66 | +@data |
| 67 | +25, 2, 10, 1.5, 0, 6, 5.70, 11.40 |
| 68 | +24, 2, 10, 1.5, 0, 10, 17.56, 35.12 |
| 69 | +30, 2, 10, 1.5, 2, 6, 11.28, 22.56 |
| 70 | + 2, 2, 10, 1.5, 2, 10, 8.39, 16.78 |
| 71 | +40, 2, 10, 2.5, 0, 6, 16.67, 33.34 |
| 72 | +37, 2, 10, 2.5, 0, 10, 12.04, 24.08 |
| 73 | +16, 2, 10, 2.5, 2, 6, 9.22, 18.44 |
| 74 | +22, 2, 10, 2.5, 2, 10, 3.94, 7.88 |
| 75 | +33, 2, 30, 1.5, 0, 6, 27.02, 18.01 |
| 76 | +17, 2, 30, 1.5, 0, 10, 19.46, 12.97 |
| 77 | +28, 2, 30, 1.5, 2, 6, 18.54, 12.36 |
| 78 | +27, 2, 30, 1.5, 2, 10, 25.70, 17.13 |
| 79 | +14, 2, 30, 2.5, 0, 6, 19.02, 12.68 |
| 80 | +13, 2, 30, 2.5, 0, 10, 22.39, 14.93 |
| 81 | + 4, 2, 30, 2.5, 2, 6, 23.85, 15.90 |
| 82 | +21, 2, 30, 2.5, 2, 10, 30.12, 20.08 |
| 83 | +23, 6, 10, 1.5, 0, 6, 13.42, 26.84 |
| 84 | +35, 6, 10, 1.5, 0, 10, 34.26, 68.52 |
| 85 | +19, 6, 10, 1.5, 2, 6, 39.74, 79.48 |
| 86 | +34, 6, 10, 1.5, 2, 10, 10.60, 21.20 |
| 87 | +31, 6, 10, 2.5, 0, 6, 28.89, 57.78 |
| 88 | + 9, 6, 10, 2.5, 0, 10, 35.61, 71.22 |
| 89 | +38, 6, 10, 2.5, 2, 6, 17.20, 34.40 |
| 90 | +15, 6, 10, 2.5, 2, 10, 6.00, 12.00 |
| 91 | +39, 6, 30, 1.5, 0, 6, 129.45, 86.30 |
| 92 | + 8, 6, 30, 1.5, 0, 0, 107.38, 71.59 |
| 93 | +26, 6, 30, 1.5, 2, 6, 111.66, 74.44 |
| 94 | +11, 6, 30, 1.5, 2, 0, 109.10, 72.73 |
| 95 | + 6, 6, 30, 2.5, 0, 6, 100.43, 66.95 |
| 96 | +20, 6, 30, 2.5, 0, 0, 109.28, 72.85 |
| 97 | +10, 6, 30, 2.5, 2, 6, 106.46, 70.97 |
| 98 | +32, 6, 30, 2.5, 2, 0, 134.01, 89.34 |
| 99 | + 1, 4, 20, 2.0, 1, 8, 10.78, 10.78 |
| 100 | + 3, 4, 20, 2.0, 1, 8, 9.39, 9.39 |
| 101 | + 5, 4, 20, 2.0, 1, 8, 9.84, 9.84 |
| 102 | + 7, 4, 20, 2.0, 1, 8, 13.94, 13.94 |
| 103 | +12, 4, 20, 2.0, 1, 8, 12.33, 12.33 |
| 104 | +18, 4, 20, 2.0, 1, 8, 7.32, 7.32 |
| 105 | +29, 4, 20, 2.0, 1, 8, 7.91, 7.91 |
| 106 | +36, 4, 20, 2.0, 1, 8, 15.58, 15.58 |
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