Table 3. Least square fits of the modern version of Herrnstein's theory to the response rates for each participant. Equations 5, 6a′, 6b′ and 7′ were fitted simultaneously to the Schedule A and Schedule B data and all magnitudes for each participant. Shown are the values of each parameter—see the text for more details. The dashes indicate that the parameters listed in this row were held constant across magnitudes. The percentages of variance accounted for (%VAC) by each equation are provided in the right columns.
Participant | Magnitude on Schedule A | k | a1e | a12 | a2e | c1e | c2e | b12 | %VAC |
|||
Equation 5 | Equation 6a′ | Equation 6b′ | Equation 7′ | |||||||||
H59 | – | 48.15 | 0.94 | 0.72 | 0.52 | 2.65 | ||||||
$0.20 | 10.13 | 1.17 | 100 | 100 | 99 | 100 | ||||||
$0.12 | 11.42 | 1.13 | 97 | 99 | 99 | 99 | ||||||
$0.07 | 13.14 | 0.99 | 98 | 99 | 99 | 99 | ||||||
$0.004 | 16.60 | 0.78 | 100 | 98 | 99 | 99 | ||||||
$0.0025 | 20.56 | 0.64 | 99 | 99 | 98 | 99 | ||||||
H60 | – | 59.52 | 0.68 | 0.61 | 0.56 | 1.13 | ||||||
$0.20 | 1.14 | 1.46 | 99 | 99 | 99 | 99 | ||||||
$0.12 | 1.48 | 1.14 | 100 | 100 | 99 | 100 | ||||||
$0.07 | 1.74 | 1.05 | 99 | 100 | 99 | 99 | ||||||
$0.004 | 3.35 | 0.50 | 100 | 100 | 100 | 99 | ||||||
$0.0025 | 3.61 | 0.47 | 99 | 99 | 99 | 99 | ||||||
H64 | – | 74.99 | 0.88 | 0.82 | 0.75 | 33.34 | ||||||
$0.20 | 35.17 | 1.44 | 98 | 98 | 98 | 98 | ||||||
$0.12 | 47.49 | 1.50 | 99 | 98 | 99 | 97 | ||||||
$0.07 | 52.74 | 0.95 | 96 | 100 | 98 | 96 | ||||||
$0.004 | 61.34 | 0.68 | 98 | 97 | 92 | 97 | ||||||
$0.0025 | 74.20 | 0.69 | 98 | 99 | 97 | 98 | ||||||
H67 | – | 72.63 | 0.40 | 0.47 | 0.53 | 0.49 | ||||||
$0.20 | 0.24 | 1.29 | 98 | 98 | 98 | 98 | ||||||
$0.12 | 0.24 | 1.26 | 95 | 97 | 94 | 94 | ||||||
$0.07 | 0.28 | 1.08 | 99 | 99 | 99 | 99 | ||||||
$0.004 | 0.38 | 0.77 | 96 | 96 | 97 | 97 | ||||||
$0.0025 | 0.46 | 0.63 | 91 | 94 | 93 | 92 | ||||||
H69 | – | 134.31 | 0.34 | 0.28 | 0.22 | 20.78 | ||||||
$0.20 | 29.85 | 0.95 | 96 | 91 | 80 | 95 | ||||||
$0.12 | 29.18 | 1.07 | 97 | 94 | 98 | 97 | ||||||
$0.07 | 35.87 | 0.89 | 92 | 98 | 40 | 92 | ||||||
$0.004 | 40.32 | 0.74 | 97 | 99 | 85 | 96 | ||||||
$0.0025 | 34.48 | 0.96 | 98 | 89 | 69 | 97 | ||||||
H70 | – | 104.48 | 0.48 | 0.39 | 0.32 | 1.28 | ||||||
$0.20 | 1.30 | 1.62 | 91 | 96 | 96 | 92 | ||||||
$0.12 | 1.67 | 1.40 | 98 | 99 | 98 | 98 | ||||||
$0.07 | 2.07 | 1.16 | 98 | 97 | 99 | 98 | ||||||
$0.004 | 4.61 | 0.46 | 93 | 94 | 86 | 94 | ||||||
$0.0025 | 5.02 | 0.48 | 93 | 93 | 87 | 94 | ||||||
Median | – | 73.81 | 0.58 | 0.54 | 0.52 | 1.97 | ||||||
$0.20 | 5.71 | 1.37 | 98 | 98 | 98 | 98 | ||||||
$0.12 | 6.55 | 1.20 | 98 | 99 | 99 | 98 | ||||||
$0.07 | 7.61 | 1.02 | 98 | 99 | 99 | 98 | ||||||
$0.004 | 10.61 | 0.71 | 97 | 98 | 94 | 97 | ||||||
$0.0025 | 12.79 | 0.64 | 98 | 96 | 95 | 98 |