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