Table 1 The results from the simulated datasets with one, two, and three signal-versus-time curves are shown below.

From: Delineation of Tumor Habitats based on Dynamic Contrast Enhanced MRI

# of curves in simulated dataset (“ground truth”)

# of curves determined

% of 1000 trials for F-test (k′)

% of 1000 trials for Shapiro-Wilk Test (k″)

% of 1000 trials for min(k′, k″)

SNR

SNR

SNR

10

7.5

5

2.5

10

7.5

5

2.5

10

7.5

5

2.5

1

1*

94.7

93.9

95.0

95.7

94.4

93.9

94.8

94.3

99.8

99.4

99.6

99.6

2

5.0

5.8

4.9

4.2

5.4

5.5

4.9

5.3

0.2

0.6

0.4

0.4

> = 3

0.3

0.0

0.1

0.1

0.2

0.6

0.3

0.4

0.0

0.0

0.0

0.0

2

2*

95.3

94.7

95.6

95.2

95.3

94.7

94.5

93.3

99.6

99.6

99.7

99.5

3

4.5

5.3

4.2

4.5

4.5

4.9

5

6.1

0.4

0.4

0.3

0.5

> = 4

0.2

0.0

0.2

0.3

0.2

0.4

0.5

0.6

0.0

0.0

0.0

0.0

3

3*

96

94.5

95.3

95.7

94.2

94.0

94.3

94.2

99.4

99.5

99.8

99.7

4

4.0

5.4

4.4

4.1

5.5

5.6

5.5

5.4

0.6

0.5

0.2

0.3

> = 5

0

0.1

0.3

0.2

0.3

0.4

0.2

0.4

0.0

0.0

0.0

0.0

  1. The percent of trials (total of 1000) where the specified number of curves were determined are indicated for the two tests and their combination. Neither the tests nor their combination determined a number of curves less than the number of curves in the dataset.
  2. *Number of curves determined was never less than the corresponding “ground truth” number.