Research Article
Parkinson’s Disease Gravity Index: A Method by means of Optimal Scaling
Table 2
Transformation with the OS.
| | “Corrected value of each interval” by the OS | Minimum absolute value | “Corrected value of each interval” by the OS | Maximum | Corrected value multiplied by the factor | Maximum |
| AD | 1 | 36–49 | −1.85 | 1.85 | 0 | | 0 | | 2 | 50–63 | −0.79 | | 1.06 | | 2.91 | | 3 | 64–70 | −0.6 | | 1.25 | | 3.43 | | 4 | 71–77 | 0.39 | | 2.24 | | 6.15 | | 5 | 78–84 | 1.54 | | 3.39 | | 9.3 | | 6 | 85–92 | 1.68 | | 3.53 | 3.53 | 9.69 | 9.69 |
| MD | 1 | 3–16 | −1.48 | 1.48 | 0 | | 0 | | 2 | 17–23 | −1.01 | | 0.47 | | 1.29 | | 3 | 24–30 | −0.3 | | 1.18 | | 3.24 | | 4 | 31–44 | 0.9 | | 2.38 | | 6.53 | | 5 | 45–58 | 1.85 | | 3.33 | 3.33 | 9.14 | 9.14 |
| DD | 1 | 0–1.5 | −1.58 | 1.58 | 0 | | 0 | | 2 | 1.51–3.01 | −1.11 | | 0.47 | | 1.29 | | 3 | 3.02–4.52 | −0.75 | | 0.83 | | 2.28 | | 4 | 4.53–7.54 | 0.2 | | 1.78 | | 4.88 | | 5 | 7.55–10.56 | 1.48 | | 3.06 | | 8.4 | | 6 | 10.57–12.07 | 2.25 | | 3.83 | 3.83 | 10.51 | 10.51 |
| AxD | 1 | 0–1.75 | −1.23 | 1.23 | 0 | | 0 | | 2 | 1.76–3.51 | −0.89 | | 0.34 | | 0.93 | | 3 | 3.52–7.03 | −0.53 | | 0.7 | | 1.92 | | 4 | 7.04–8.79 | 0.47 | | 1.7 | | 4.67 | | 5 | 8.80–10.55 | 0.74 | | 1.97 | | 5.41 | | 6 | 10.56–12.31 | 1.72 | | 2.95 | | 8.1 | | 7 | 12.32–14.07 | 2.29 | | 3.52 | 3.52 | 9.66 | 9.66 |
| CD | 1 | 16–27.125 | −1.71 | 1.71 | 0 | | 0 | | 2 | 27.126–49.377 | −1 | | 0.71 | | 1.95 | | 3 | 49.378–60.503 | −0.12 | | 1.59 | | 4.36 | | 4 | 60.504–71.629 | 0.66 | | 2.37 | | 6.5 | | 5 | 71.63–82.755 | 1.25 | | 2.96 | | 8.12 | | 6 | 82.756–93.881 | 1.39 | | 3.1 | | 8.51 | | 7 | 93.882–105.007 | 1.65 | | 3.36 | 3.36 | 9.22 | 9.22 |
| ApD | 1 | 0–4.25 | −1.21 | 1.21 | 0 | | 0 | | 2 | 4.26–8.51 | −0.81 | | 0.4 | | 1.1 | | 3 | 8.52–12.77 | −0.31 | | 0.9 | | 2.47 | | 4 | 12.78–17.03 | 0.5 | | 1.71 | | 4.69 | | 5 | 17.04–21.29 | 0.56 | | 1.77 | | 4.86 | | 6 | 21.3–25.55 | 1.51 | | 2.72 | | 7.46 | | 7 | 25.56–34.07 | 1.53 | | 2.74 | 2.74 | 7.52 | 7.52 |
| FD | 1 | 0–3.625 | −1.33 | 1.33 | 0 | | 0 | | 2 | 3.626–7.251 | −0.8 | | 0.53 | | 1.45 | | 3 | 7.252–10.877 | −0.03 | | 1.3 | | 3.57 | | 4 | 10.878–14.503 | 0.71 | | 2.04 | | 5.6 | | 5 | 14.504–18.129 | 0.88 | | 2.21 | | 6.06 | | 6 | 18.13–21.755 | 1.32 | | 2.65 | | 7.27 | | 7 | 21.756–25.381 | 1.97 | | 3.3 | | 9.06 | | 8 | 25.382–29.007 | 2.39 | | 3.72 | 3.72 | 10.21 | 10.21 |
| NMD | 1 | 2–16.25 | −1.29 | 1.29 | 0 | | 0 | | 2 | 16.26–30.51 | −0.53 | | 0.76 | | 2.09 | | 3 | 30.52–44.77 | 0.61 | | 1.9 | | 5.21 | | 4 | 44.78–101.81 | 1.47 | | 2.76 | | 7.57 | | 5 | 101.82–116.07 | 1.87 | | 3.16 | 3.16 | 8.67 | 8.67 |
| PsD | 1 | 0–1 | −0.68 | 0.68 | 0 | | 0 | | 2 | 1.01–2.01 | 0.39 | | 1.07 | | 2.94 | | 3 | 2.02–4.03 | 1.1 | | 1.78 | | 4.88 | | 4 | 4.04–5.04 | 1.84 | | 2.52 | | 6.92 | | 5 | 5.05–8.07 | 3.89 | | 4.57 | 4.57 | 12.54 | 12.54 |
| SD | 1 | 0–2.5 | −1.52 | 1.52 | 0 | | 0 | | 2 | 2.51–5.01 | −0.81 | | 0.71 | | 1.95 | | 3 | 5.02–7.52 | 0 | | 1.52 | | 4.17 | | 4 | 7.53–12.54 | 0.62 | | 2.14 | | 5.87 | | 5 | 12.55–17.56 | 1.2 | | 2.72 | | 7.46 | | 6 | 17.57–20.07 | 3.16 | | 4.68 | 4.68 | 12.84 | 12.84 |
| Index factor creation (100/36.44 = 2.744) | | 36.44 | | 100 |
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AD: age dimension; MD: motor dimension; DD: depression dimension; AxD: anxiety dimension; CD: cognitive dimension; ApD: apathy dimension; FD: fatigue dimension; NMD: nonmotor dimension; PsD: psychosis dimension PsD; SD: sleep dimension.
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