1 Introduction
2 Visualization
3 More insight in the information carried by the revival model
\(\chi ^2\)
|
\(T_{max}=2\)
|
\(2<T_{max}<9\)
|
\(T_{max} \ge 9\)
| Total |
---|---|---|---|---|
0–1 | 61 | 43 | 94 | 198 |
1–2 | 11 | 4 | 39 | 54 |
2–3 | 4 | 3 | 8 | 15 |
3–4 | 0 | 0 | 4 | 4 |
4+ | 2 | 2 | 3 | 7 |
Total | 78 | 52 | 148 | 278 |
4 Prediction model
\(t_{LM}\)
| n | Dead | c |
\(H_{pred}\)
|
\(\alpha _{c}\)
|
\(\beta _{c}\)
| |||||
---|---|---|---|---|---|---|---|---|---|---|---|
\({\hat{c}}\)
| se | Mean | sd |
\({{\hat{\alpha }}}_c\)
| se |
\({{\hat{\beta }}}_c\)
| se | Z | |||
1 | 332 | 70 | 0.79 | 0.09 | 0.32 | 0.07 | \(-\) 0.90 | 0.60 | 1.03 | 0.53 | 1.96 |
2 | 278 | 61 | 0.83 | 0.11 | 0.33 | 0.07 | 0.37 | 0.71 | 2.13 | 0.65 | 3.30 |
3 | 229 | 46 | 0.75 | 0.11 | 0.33 | 0.06 | 2.53 | 0.89 | 4.27 | 0.85 | 5.03 |
4 | 188 | 36 | 0.69 | 0.11 | 0.32 | 0.06 | 1.52 | 0.96 | 3.38 | 0.91 | 3.73 |
5 | 166 | 37 | 0.86 | 0.14 | 0.33 | 0.08 | 0.46 | 0.68 | 2.22 | 0.64 | 3.44 |
6 | 136 | 30 | 0.94 | 0.17 | 0.33 | 0.06 | 0.96 | 1.13 | 2.58 | 1.05 | 2.45 |
7 | 96 | 23 | 1.04 | 0.22 | 0.33 | 0.06 | 0.64 | 1.24 | 2.19 | 1.14 | 1.92 |
5 Alternative for the assumption \(P(T<\infty )=1\)
Constant | Control | Prednisone | T | s |
\(\ln (s+\delta )\)
| |
---|---|---|---|---|---|---|
All uncensored | 63.47 | 2.49 | 13.56 | 1.74 | \(-\) 2.11 | 4.66 |
Uncensored \(t<9\) | 63.35 | 2.28 | 13.40 | 1.56 | \(-\) 1.80 | 4.58 |
All \(t \ge 9\) | 75.15 | 6.55 | 18.97 | 1.47 | \(-\) 1.84 | \(-\) 0.176 |
\(t_{LM}\)
| c |
\(H_{pred}\)
|
\(\alpha _{c}\)
|
\(\beta _{c}\)
|
\(\beta _{Cox}\)
| ||||||
---|---|---|---|---|---|---|---|---|---|---|---|
\({{\hat{c}}}\)
| se | Mean | sd |
\({{\hat{\alpha }}}_c\)
| se |
\({\hat{\beta }}_c\)
| se |
\({\hat{\beta }}_{Cox}\)
| se | Z | |
1 | 1.01 | 0.12 | 0.26 | 0.10 | \(-\) 1.16 | 0.45 | 0.65 | 0.32 | 0.66 | 0.32 | 2.09 |
2 | 1.00 | 0.13 | 0.27 | 0.11 | \(-\) 0.59 | 0.48 | 1.07 | 0.36 | 1.06 | 0.35 | 3.07 |
3 | 1.00 | 0.15 | 0.25 | 0.09 | 0.80 | 0.59 | 2.13 | 0.46 | 2.09 | 0.38 | 5.57 |
4 | 1.02 | 0.17 | 0.22 | 0.09 | 0.71 | 0.65 | 2.00 | 0.47 | 1.97 | 0.38 | 5.23 |
5 | 0.99 | 0.16 | 0.30 | 0.15 | \(-\) 0.66 | 0.45 | 1.06 | 0.37 | 1.07 | 0.34 | 3.16 |
6 | 0.97 | 0.18 | 0.31 | 0.16 | \(-\) 1.28 | 0.49 | 0.48 | 0.38 | 0.48 | 0.37 | 1.31 |
7 | 0.94 | 0.20 | 0.42 | 0.24 | \(-\) 0.95 | 0.35 | 0.91 | 0.37 | 0.94 | 0.33 | 2.84 |