Table 2 The estimated mean tumor volumes and standard errors (SEs) using the proposed and conventional methods. The Pearson’s correlation coefficients with tumor volume at previous time point \(\rho \) and p-values from the test of homologous hypothesis and two-sample t tests are also shown.
From: Leveraging homologous hypotheses for increased efficiency in tumor growth curve testing
Time (day) | 3 | 5 | 7 | 12 | 14 | 17 | 19 | 21 | 24 |
---|---|---|---|---|---|---|---|---|---|
IL-1Ra | |||||||||
Tumor volume | 4.025 | 28.725 | 28.025 | 36.225 | 71.725 | 113.025 | 131.600 | 174.125 | 247.775 |
SE (Homologous) | 0.006 | 3.456 | 0.994 | 1.543 | 1.905 | 7.100 | 7.972 | 4.736 | 5.215 |
SE | 0.006 | 6.731 | 3.413 | 7.143 | 16.305 | 13.315 | 17.215 | 21.086 | 23.390 |
\(\hat{\rho }_{0,j}\) | – | – | 0.911 | 0.952 | 0.986 | 0.657 | 0.756 | 0.948 | 0.949 |
scrIL-1\(\alpha \) | |||||||||
Tumor volume | 4.025 | 28.150 | 36.775 | 41.425 | 58.675 | 79.750 | 102.325 | 115.925 | 197.150 |
SE (Homologous) | 0.006 | 1.042 | 2.673 | 5.597 | 4.256 | 5.738 | 8.948 | 7.915 | 9.480 |
SE | 0.006 | 2.806 | 5.279 | 7.918 | 11.198 | 19.222 | 25.563 | 35.908 | 60.088 |
\(\hat{\rho }_{1,j}\) | – | – | 0.698 | 0.029 | 0.843 | 0.907 | 0.869 | 0.950 | 0.975 |
p value (Homologous test) | 1 | 0.931 | 0.151 | 0.632 | 0.181 | 0.103 | 0.231 | 0.022 | 0.054 |
p value (t test). | 1 | 0.940 | 0.213 | 0.643 | 0.534 | 0.205 | 0.379 | 0.212 | 0.462 |