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Table 7 Estimates of integrated scores from the Mallows-Binomial (MB) and Mean Ratings (MR) models. A small positive value is added to the integrated scores of proposals 22 and 6 in order to signify that \(p_{20}\prec p_{22}\) and \(p_3\prec p_6\) in the MB model. The order of proposals is based on the MB model

From: A new approach to grant review assessments: score, then rank

Proposal

MB

MR

Proposal

MB

MR

17

0.114

0.114

1

0.375

0.375

19

0.125

0.125

11

0.382

0.382

25

0.125

0.125

18

0.452

0.452

21

0.143

0.143

24

0.461

0.461

4

0.175

0.175

2

0.472

0.472

23

0.182

0.182

27

0.500

0.500

20

0.195

0.195

28

0.500

0.500

22

0.195\(+10^{-8}\)

0.195

5

0.527

0.528

13

0.218

0.222

26

0.611

0.611

16

0.222

0.225

8

0.618

0.618

3

0.225

0.225

12

0.625

0.625

6

0.225\(+10^{-8}\)

0.218

9

0.690

0.690

7

0.322

0.322

10

0.703

0.703

15

0.344

0.344

14

0.731

0.731