Table 2 Summary statistics of the cross-validation results for each of the five formulae (SRK/T, Hoffer Q, Holladay I, Haigis and MM) for long, long medium and short eyes.

From: An ensemble-based approach for estimating personalized intraocular lens power

Monofocal Alcon AcrySofIQ SN60WF

Summary statistics of cross − validation results for long, long medium and short eyes

Long eyes (Bootstrap sample size: 282)

Statistics

SRK/T

Hoffer Q

Holladay I

Haigis

MM

% Rx within ± 0.5D

23.40%

40.80%

39.00%

62.40%a

64.20%a

% Rx within ± 1.0D

51.80%

80.90%

72.70%

92.20%a

92.20%a

% Rx within ± 1.5D

79.10%

92.20%

88.30%

100.00%a

100.00%a

MPE ± SD

 − 0.89 ± 0.86

0.59 ± 0.55

0.74 ± 0.63

0.26 ± 0.52

0.16 ± 0.51

MedPE

 − 0.92

0.6

0.7

0.19

0.03

Range PE

 − 2.51 to 1.13

 − 0.28 to 1.96

 − 0.27 to 2.35

 − 0.63 to 1.49

 − 0.65 to 1.33

MAPE ± SD

1.05 ± 0.67

0.66 ± 0.47

0.78 ± 0.58

0.47 ± 0.36

0.41 ± 0.34

MedAPE

0.97

0.6

0.7

0.4

0.35

Long medium eyes (Bootstrap sample size: 452)

Statistics

SRK/T

Hoffer Q

Holladay I

Haigis

MM

% Rx within ± 0.5D

19.90%

80.10%a

87.60%

77.70%

82.10%a

% Rx within ± 1.0D

32.30%

95.40%

100.00%a

100.00%a

100.00%a

% Rx within ± 1.5D

50.20%

100.00%a

100.00%a

100.00%a

100.00%a

MPE ± SD

 − 1.31 ± 0.99

0.22 ± 0.38

 − 0.04 ± 0.35

 − 0.01 ± 0.39

 − 0.09 ± 0.35

MedPE

 − 1.49

0.26

 − 0.14

0b

 − 0.07

Range PE

 − 2.99 to 0.83

 − 0.61 to 1.04

 − 0.7 to 0.79

 − 0.8 to 0.94

 − 0.87 to 0.79

MAPE ± SD

1.41 ± 0.85

0.36 ± 0.25

0.3 ± 0.19

0.3 ± 0.25

0.28 ± 0.23

MedAPE

1.49

0.38

0.27

0.25

0.21

Short eyes (Bootstrap sample size:218)

Statistics

SRK/T

Hoffer Q

Holladay I

Haigis

MM

% Rx within ± 0.5D

65.60%

59.60%a

66.10%

60.60%

56.90%a

% Rx within ± 1.0D

89.00%

100.00%

95.40%a

89.00%

93.60%a

% Rx within ± 1.5D

97.70%a

100.00%a

100.00%a

100.00%a

97.70%a

MPE ± SD

0.08 ± 0.6

 − 0.22 ± 0.46

 − 0.22 ± 0.49

0.08 ± 0.55

0.17 ± 0.58

MedPE

0.15

 − 0.3

 − 0.27

 − 0.03b

0.12

Range PE

 − 1.18 to 1.59

 − 0.78 to 0.94

 − 0.99 to 1.04

 − 0.86 to 1.42

 − 0.91 to 1.54

MAPE ± SD

0.44 ± 0.41

0.45 ± 0.24

0.46 ± 0.28

0.42 ± 0.36

0.45 ± 0.4

MedAPE

0.28a

0.4

0.39

0.42

0.28a

  1. % Rx Percentage of eyes within a given range of prediction error, MPE Mean prediction error, MedPE Median prediction error, Range PE Range of the prediction error, MAPE Mean absolute prediction error, MedAPE Median absolute prediction error, SD Standard Deviation of the error.
  2. aNo statistically significant difference at level 0.05.
  3. bNo statistically significant difference from zero at level 0.05.
  4. Significant values are in [bold].