| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 1 | NIST/ITL StRD
|
| 2 | Dataset Name: Roszman1 (Roszman1.dat)
|
| 3 |
|
| 4 | File Format: ASCII
|
| 5 | Starting Values (lines 41 to 44)
|
| 6 | Certified Values (lines 41 to 49)
|
| 7 | Data (lines 61 to 85)
|
| 8 |
|
| 9 | Procedure: Nonlinear Least Squares Regression
|
| 10 |
|
| 11 | Description: These data are the result of a NIST study involving
|
| 12 | quantum defects in iodine atoms. The response
|
| 13 | variable is the number of quantum defects, and the
|
| 14 | predictor variable is the excited energy state.
|
| 15 | The argument to the ARCTAN function is in radians.
|
| 16 |
|
| Sameer Agarwal | ca0ff62 | 2012-09-01 14:41:44 -0700 | [diff] [blame] | 17 | Reference: Roszman, L., NIST (19??).
|
| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 18 | Quantum Defects for Sulfur I Atom.
|
| 19 |
|
| 20 |
|
| 21 |
|
| 22 |
|
| 23 |
|
| 24 |
|
| 25 | Data: 1 Response (y = quantum defect)
|
| 26 | 1 Predictor (x = excited state energy)
|
| 27 | 25 Observations
|
| 28 | Average Level of Difficulty
|
| 29 | Observed Data
|
| 30 |
|
| 31 | Model: Miscellaneous Class
|
| 32 | 4 Parameters (b1 to b4)
|
| 33 |
|
| 34 | pi = 3.141592653589793238462643383279E0
|
| 35 | y = b1 - b2*x - arctan[b3/(x-b4)]/pi + e
|
| 36 |
|
| 37 |
|
| 38 | Starting Values Certified Values
|
| 39 |
|
| 40 | Start 1 Start 2 Parameter Standard Deviation
|
| Sameer Agarwal | ca0ff62 | 2012-09-01 14:41:44 -0700 | [diff] [blame] | 41 | b1 = 0.1 0.2 1.20196866396E-0 1.9172666023E-02
|
| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 42 | b2 = -0.00001 -0.000005 -6.1953516256E-06 3.2058931691E-06
|
| 43 | b3 = 1000 1200 1.2044556708E+03 7.4050983057E+01
|
| 44 | b4 = -100 -150 -1.8134269537E+02 4.9573513849E+01
|
| 45 |
|
| 46 | Residual Sum of Squares: 4.9484847331E-04
|
| 47 | Residual Standard Deviation: 4.8542984060E-03
|
| 48 | Degrees of Freedom: 21
|
| 49 | Number of Observations: 25
|
| 50 |
|
| 51 |
|
| 52 |
|
| 53 |
|
| 54 |
|
| 55 |
|
| 56 |
|
| 57 |
|
| 58 |
|
| 59 |
|
| 60 | Data: y x
|
| 61 | 0.252429 -4868.68
|
| 62 | 0.252141 -4868.09
|
| 63 | 0.251809 -4867.41
|
| 64 | 0.297989 -3375.19
|
| 65 | 0.296257 -3373.14
|
| 66 | 0.295319 -3372.03
|
| 67 | 0.339603 -2473.74
|
| 68 | 0.337731 -2472.35
|
| 69 | 0.333820 -2469.45
|
| 70 | 0.389510 -1894.65
|
| 71 | 0.386998 -1893.40
|
| 72 | 0.438864 -1497.24
|
| 73 | 0.434887 -1495.85
|
| 74 | 0.427893 -1493.41
|
| 75 | 0.471568 -1208.68
|
| 76 | 0.461699 -1206.18
|
| 77 | 0.461144 -1206.04
|
| 78 | 0.513532 -997.92
|
| 79 | 0.506641 -996.61
|
| 80 | 0.505062 -996.31
|
| 81 | 0.535648 -834.94
|
| 82 | 0.533726 -834.66
|
| 83 | 0.568064 -710.03
|
| 84 | 0.612886 -530.16
|
| 85 | 0.624169 -464.17
|
