Dependence test of selection decisions for research project applications in Slovenia in 2007/20
Method of evaluation of research project applications in Slovenia is defined in: Metodologija ocenjevanja prijav za mentorje mladim razis Research (alternative) hypothesis: there is positive association between the sums of scores of research team leaders and peer review de
Null hypothesis H0: there is no positive association (one-sided test). Level of significance: α=0,05. Fisher's exact test was calculated with statistical package available on http://www.langsrud.com/fisher.htm . Note: in few cases of different value from Fisher and Kullback test, the value of Fisher is taken. Note: in few cases of different values for different binning the value in favour for rejection is taken. Note: Research subfields are defined in http://www.arrs.gov.si/en/gradivo/sifranti/sif-vpp.asp .
Note: Research project applications are arranged in descending order regarding the sum of scores A. Result of peer review selection: from 711 research project applications in all 6 fields or 72 subfields 187 projects were selected. Result of statistical analysis: in 15 subfields (21%) with 270 project applications (38%) null hypothesis of no positive association can be s Conclusion: result shows significant progress in evaluation procedure from previous years if we swear on bibliometric and scientometric
Mark Score Score Score A= Se Co of A1 A2 A3 A1+A le unt resea 2+A3 ct er rch ed subfie re ld se ar Natural sciences and mathematics ch 1.01 3.6 0.11 0 3.71 pr 1 oj 1.01 3.22 0.16 0 3.38 1 1 1.01 1.24 1.92 0 3.16 ec 1 1.01 2.33 0.23 0 2.56 ts 1 (m 1.01 2.48 0.08 0 2.56 ar 1 ke 1.01 2.17 0.16 0 2.33 1 d 1.01 1.95 0.01 0 1.96 1 wit 1.01 1.39 0.13 0 1.52 h 1 1.01 1.15 0.31 0 1.46 1) 1 1.01 1.26 0.12 0 1.38 1 1.01 1.2 0.05 0 1.25 1 1.01 0.63 0.07 0 0.7 1
Contingency table (c.t.) Score category Observed frequencies 0-2,50 2,51-15 Row total Selected projects 0 1 1 Nonselected p. 7 4 11 Column total
7
5
12
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Correction for one null fre
Fisher's exact test prob
Additional Fisher's exact test on different categories: Additional Fisher's exac (Category limit is marked by line in column F) Re-binned c.t.: 0 1 10 1 Note: not enough selected projects for significant rejection.
1.02 1.02 1.02
5 4 5
5 4 3.96
3.61 13.61 1 2.89 10.89 1.05 10.01 1
1 Observed frequencies 0-4,00 4,01-8,00 8,01-15 1 Selected projects 1 2 4 1 Nonselected p. 21 8 2
Kullback 2Î test: 7 S1= 31 S2=
1.02 1.02 1.02 1.02 1.02
5 5 5 3.85 4
5 5 5 2.96 3
0 10 1 0 10 0 10 1 0.43 7.24 0 7
1 1 1 1 1
38 2Î=S1-S2=
1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02
2.28 4.76 4.06 1.51 1.18 3.01 3.86 2.26
4.01 1.41 1.59 0.16 1.23 0.56 0.42 1.95
0 0 0.19 3.29 2.36 0.74 0 0.03
6.29 1 6.17 1 5.84 4.96 4.77 4.31 4.28 4.24
1 1 1 1 1 1 1 1
Natural sciences and m
1.02 1.02
2.73 2.27
0.59 1.04
0.66 3.98 1 0.35 3.66
1 1
Subfield total sum
1.02
1.2
2.41
0 3.61
1
1.01
1.02
1.91
1.2
0.01 3.12
1
1.02
1.02
0.94
0.93
1.18 3.05
1
1.03
Column total
22
10
6
Fisher's exact tests:
1.02
2.64
0.3
0 2.94
1
1.04
1.02
2.36
0.4
0 2.76
1
1.05
1.02
2.28
0.22
0
2.5
1
1.06
1.02
0.81
1.49
0
2.3
1
1.07
1.02
2.02
0.11
0.15 2.28
1
1.08
1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.03
1.65 1.93 2.15 1.96 1.48 1.67 1.12 1.18 1.1 0.53 0.55 0.17 2
0.59 0.28 0 0.19 0.58 0.23 0.16 0.42 0.12 0.36 0.15 0 2.47
0.03 0 0 0 0 0 0.42 0 0 0.11 0.2 0 2.35
1 1 1 1 1 1 1 1 1 1 1 1 1
1.09 sum of projectss, where H sum of projectss, where H
1.03 1.03 1.03
0.65 3.59 2.56
0.43 0.53 0.89
5 6.08 0.97 5.09 1 1.43 4.88 1
1 Observed frequencies 0-4,87 4,88-15 1 Selected projects 2 3 1 Nonselected p. 16 1
1.03 1.03
0.19 0.79
0 0.51
4.67 4.86 2.56 3.86
1 1
1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.03 1.04
2.98 1.27 1.77 1.92 1.07 1.1 0.46 0.73 0.57 0.72 0.61 0.56 0.31 0.32 0.11 0.21 2.59
0.12 0.17 0.56 0.17 0.34 0.46 0.27 0.02 0.19 0 0.09 0.01 0.01 0.01 0 0.04 2.44
0.36 3.46 1.78 3.22 0.11 2.44 1 0.02 2.11 0.38 1.79 0 1.56 0.74 1.47 0.63 1.38 0 0.76 0 0.72 0 0.7 0.1 0.67 0.29 0.61 0 0.33 0.19 0.3 0 0.25 1 5 10.03 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1.04 1.04 1.04 1.04
4.47 4 3.34 3.91
2.92 0.53 2.23 2.3
2.35 5 2.97 1.51
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 0 6 1 Nonselected p. 14 10 1 Column total 14 16
1.04 1.04
3.09 1.89
1.46 0.64
0.16 4.71 1 2.12 4.65
1 1
Correction for one null fre
1.04 1.04 1.04
2.88 1.67 2.73
1.19 0.44 1.09
0.44 4.51 2.24 4.35 0.39 4.21
1 1 1
Fisher's exact test: prob Additional Fisher's exac
1.04 1.04 1.04 1.04
0.69 2.87 2.89 1.56
0.18 0.9 0.62 0.75
3.26 0.2 0.33 1.52
1 1 1 1
2.27 2.21 2.15 2.15 2.06 1.9 1.7 1.6 1.22 1 0.9 0.17 6.82 1
9.74 1 9.53 1 8.54 7.72
4.13 3.97 3.84 3.83 1
Note: In this subfields statistica
Column total
18
4
5 17
Kullback 2Î test: S1= S2=
22
2Î=S1-S2= Fisher's exact test:
6 24 30
Kullback 2Î test: S1= S2= 2Î=S1-S2=
1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.04 1.05
2.03 2.04 1.69 1.53 1.19 2.29 1.34 1.49 1.8 1.34 1.43 1.44 0.17 0.82 0.78 0.6 3.75
1.58 1.48 1.26 1.08 0.11 0.25 0.61 0.74 0.39 0.17 0.26 0.21 0.01 0.08 0.01 0.15 3.04
0.01 3.62 0 3.52 1 0 2.95 0.03 2.64 1.3 2.6 0.04 2.58 0.55 2.5 0.26 2.49 0 2.19 0.66 2.17 0.04 1.73 0.03 1.68 1.37 1.55 0 0.9 0 0.79 0 0.75 3.38 10.17 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1.05 1.05 1.05
1.68 2.16 1.69
4.9 0.63 1.16
1.54 8.12 1 1.33 4.12 0 2.85
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 2 2 1 Nonselected p. 6 2
1.05 1.05
2.08 0.53
0.4 1.53
0 2.48 0.01 2.07
1 1
1.05 1.05 1.05
0.49 0.84 0.66
0.82 0.75 0.75
0.66 1.97 1 0 1.59 0 1.41
1 1 1
1.05 1.05 1.05 1.06
1.31 0.67 0.44 0.7
0.03 0.08 0.14 0.18
0 0 0 4.23
1 1 1 1
1.06 1.06 1.06
3 1.39 1.56
1.19 0.1 0.03
0.02 4.21 2.06 3.55 0.97 2.56
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 2 1 1 Nonselected p. 11 4
1.06 1.06
0.16 0.47
0 0
2.38 2.54 1 1.82 2.29 1
1 1
1.06 1.06 1.06
1.91 0.45 1.2
0.03 0.47 0.02
0.14 2.08 0.51 1.43 0.19 1.41
1 1 1
1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.07 1.07 1.07
1.18 1.01 0.68 0.76 0.4 0.46 0.17 0.2 0.26 4.66 3.74 3.03
0.17 0.17 0.11 0.01 0.12 0.02 0.27 0.01 0.02 1.23 1.44 1.45
0 0.05 0.18 0 0.01 0 0.04 0.08 0 0.04 0.19 0.4
1.35 1.23 0.97 0.77 1 0.53 0.48 0.48 0.29 0.28 5.93 1 5.37 4.88 1
1 1 1 1 1 1 1 1 1 1 1 1
1.07 1.07 1.08
0.65 1.45 4.5
0.4 0.84 5
2.28 3.33 0.7 2.99 5 14.5 1
1 1 1
1.08 1.08
0.09 2.54
0 1.51
4.48 4.57 0 4.05 1
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 0 3
1.34 0.75 1 0.58 5.11
Column total
8
4
4 8 12
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
Column total
13
5
3 15
Kullback 2Î test: S1= S2=
18
2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
5
Fisher's exact test: prob
3
Kullback 2Î test: S1=
1.08 1.08
2.79 0.32
0.9 0.02
0.2 3.89 1 1.63 1.97
1 Nonselected p. 1 Column total
1.08
0.72
0.58
0.62 1.92
1
1.08
1.18
0.39
0.03
1
1.6
1.08 1 0.01 0 1.01 1 1.08 0.79 0.01 0 0.8 1 1.08 0.3 0.04 0.18 0.52 1 1.08 0.43 0 0 0.43 1 1.09 2.36 0.53 4.16 7.05 1 1 1.09 3.2 0.88 1.27 5.35 1 1.09 0.63 0.04 0 0.67 1 1.09 0.39 0.17 0 0.56 1 Engineering sciences and technologies 2.01 0.34 0.78 5 6.12 1
7 7
1 4
8 11
S2= 2Î=S1-S2=
Correction for one null fre Fisher's exact test:
4
2.01 2.01 2.01
0.16 1.51 1.93
0.27 0.09 0.18
5 5.43 1 2.23 3.83 1 1.08 3.19
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 1 2 1 Nonselected p. 3 2
3 5
Kullback 2Î test: S1= S2=
2.01
0.6
0
1.39 1.99 1
1
8
2Î=S1-S2=
2.01 2.01 2.01
1.52 0.84 0.59
0.07 0.01 0.02
0 1.59 0 0.85 0 0.61
1 1 1
2.02
5
3.89
5 13.89
1
2.02 2.02 2.02
3.9 3.54 2.99
1.32 1.22 1.65
5 10.22 3.7 8.46 2.78 7.42
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 0 1 1 Nonselected p. 10 6
2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.03
2.68 2.03 0.36 1.7 0.98 1.39 1.24 0.72 1.27 0.85 0.53 0.29 0.3 1.15
0.63 1.86 0.02 0.39 0.12 0.33 0.23 0.05 0.28 0.05 0.1 0.11 0 0.21
1.87 0.86 2.64 0 0.71 0 0.16 0.86 0 0 0 0.07 0 5
1 1 1 1 1 1 1 1 1 1 1 1 1 1
2.03 2.03 2.03
4.2 2.88 1.09
0.09 1.55 0.01
2.03 2.03
1.29 1.02
2.03 2.03 2.03 2.03 2.03 2.03 2.03 2.03 2.03
Column total
4
4
Fisher's exact test: prob Additional Fisher's exac
1 16
Kullback 2Î test: S1= S2=
7
17
2Î=S1-S2=
1.09 5.38 0.37 4.8 2.34 3.44
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 1 2 1 Nonselected p. 9 7
3 16
Kullback 2Î test: S1= S2=
0.16 0.02
1.84 3.29 1.76 2.8
1 1
19
2Î=S1-S2=
2.21 2.43 0.16
0.12 0.14 0.39
0.45 2.78 1 0 2.57 1.96 2.51
1 1 1
0.27 1.1 1.35 1.27 0.96 0.87
0.02 0.06 0.15 0.04 0.07 0.17
2.08 1.09 0.61 0.69 0.42 0.11
1 1 1 1 1 1
5.18 4.75 1 3.02 2.09 1.81 1.72 1.63 1.63 1.55 0.9 0.63 0.47 0.3 6.36 1
2.37 2.25 2.11 2 1.45 1.15
Column total
Column total
10
10
9
Fisher's exact test: prob Additional Fisher's exac
2.03 2.03 2.03 2.03
0.9 0.58 0.42 0.78
0.2 0.13 0.11 0.04
0.03 1.13 1 0.39 1.1 0.51 1.04 0 0.82
1 1 1 1
2.04 2.04 2.04 2.04
5 5 4.79 3.44
3.39 2.23 2.25 0.46
3.43 11.82 3.03 10.26 1.31 8.35 3.82 7.72
1 Observed frequencies 0-3,00 3,01-6,00 6,01-15 1 Selected projects 0 2 5 1 Nonselected p. 22 14 4 1 Column total 22 16 9
2.04
4.32
1.93
1.34 7.59
1
2.04 2.04 2.04 2.04
3.38 1.36 2.05 3.89
0.64 0.47 0.07 1.54
3.01 4.74 4.26 0.89
7.03 6.57 6.38 6.32 1
1 1 1 1
2.04 2.04 2.04 2.04
4 0.51 1.95 2.67
1.48 0.22 0.62 2.18
0.34 5.82 5 5.73 1 2.93 5.5 0.19 5.04
1 1 1 1
Engineering sciences a
2.04 2.04
1.6 2.58
1.35 1.49
1.68 4.63 0.24 4.31
1 1
Subfield total sum
2.04
1.97
0.14
1.95 4.06
1
2.01
2.04
2.48
0.23
1.22 3.93
1
2.02
2.04
1.8
1
1.01 3.81
1
2.03
2.04
2.7
1.03
0.04 3.77 1
1
2.04
2.04
1.31
0.07
2.19 3.57
1
2.05
2.04
0.74
0.03
2.61 3.38
1
2.06
2.04
0.51
0.08
2.73 3.32
1
2.07
2.04
2.59
0.73
0 3.32
1
2.08
2.04
2.68
0.3
0.31 3.29
1
2.09
2.04
2.61
0.47
0 3.08
1
2.10
2.04
0.84
0.2
1.78 2.82
1
2.11
2.04
1.97
0.22
0.56 2.75
1
2.12
2.04
1.85
0.23
0.58 2.66
1
2.13
2.04
2.47
0.18
0 2.65
1
2.14
2.04
1.91
0.3
0.35 2.56
1
2.15
2.04
1.86
0.52
0 2.38
1
2.16
2.04
1.17
0.19
0.83 2.19
1
2.17
2.04
1.88
0.16
0 2.04
1
2.18
2.04
0.93
0.04
0.91 1.88
1
2.19
2.04
1.07
0.04
0.71 1.82
1
2.20
2.04
0.84
0.97
0 1.81
1
2.21
2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04
1.33 1.31 0.56 0.67 1.4 1.37 1.18 0.78 0.4 0.33
0.11 0.39 0.04 0.24 0.02 0.03 0.04 0.44 0.03 0
1 1 1 1 1 1 1 1 1 1
2.22 sum of projectss, where H sum of projectss, where H
0.37 0 0.99 0.58 0 0 0.16 0.01 0.33 0.2
1.81 1.7 1.59 1.49 1.42 1.4 1.38 1.23 0.76 0.53
1 1 1 1
Kullback 2Î test: 7 S1= 40 S2= 47 2Î=S1-S2=
Correction for one null fre
Fisher's exact test: prob
2.04 2.05 2.05 2.05 2.05 2.05 2.05 2.06
0.27 4.61 5 3.97 1.02 0.73 0.53 2.87
0.01 2.12 0.06 0.44 0.53 0.09 0.01 1.89
0 0.28 5 11.73 1 5 10.06 5 9.41 3.16 4.71 0 0.82 0 0.54 3.22 7.98
1 1 1 1 1 1 1 1
2.06 2.06 2.06
3.4 1.31 3.27
0.68 0.1 0.9
2.41 6.49 5 6.41 1.9 6.07 1
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 0 1 1 Nonselected p. 4 7
2.06 2.06 2.06 2.06 2.06 2.06 2.06 2.06 2.07
1.37 0.13 2.94 2.49 0.86 1.32 1.21 0.48 4.48
1.47 0.02 0.17 0.56 0.14 0.04 0.43 0.78 1.32
2.39 5.23 5 5.15 1.23 4.34 0 3.05 1.74 2.74 1.29 2.65 0.58 2.22 0.94 2.2 4.34 10.14 1
1 1 1 1 1 1 1 1 1
2.07 2.07 2.07
1.72 4.86 0.55
0 0.22 0.48
2.07 2.07 2.07
0.55 0.8 4.66
2.07 2.07 2.07 2.07 2.07
6
1 11
Kullback 2Î test: S1= S2=
8
12
2Î=S1-S2=
5 6.72 1.08 6.16 5 6.03
1 Observed frequencies 0-4,00 4,01-15 1 Selected projects 1 1 1 Nonselected p. 27 7
2 34
Kullback 2Î test: S1= S2=
0.48 0 0.58
5 6.03 5 5.8 0.36 5.6
1 Column total 28 1 1 Additional contingency table 2x3:
36
2Î=S1-S2=
1.4 1.99 0.37 2.11 2.02
1.4 0.09 0.05 0.63 0.07
1.79 1.9 3.14 0.59 1.11
4.59 3.98 3.56 3.33 1 3.2
1 Observed frequencies 0-3,00 3,01-6,00 6,01-15 1 Selected projects 0 1 1 1 Nonselected p. 22 8 4 1 Column total 22 9 5 1
2.07 2.07 2.07 2.07
1.99 1.21 1.1 2.58
1.16 0.1 0.03 0.06
0 1.74 1.74 0.14
3.15 3.05 2.87 2.78
1 1 1 1
2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07
1.49 1.27 1.74 1.51 1.35 0.86 1.03 0.87 0.84 1.18 1.21 1.03 0.76 0.8 0.62 0.71 0.6 0.63 0.45
0.02 0.07 0.12 0.47 0.62 0 0.04 0.01 0.3 0.16 0.01 0.02 0.03 0.01 0.05 0 0.04 0 0.02
0.86 0.9 0.29 0.06 0 1.01 0.61 0.59 0.21 0 0 0 0.13 0.09 0.13 0 0 0 0.03
2.37 2.24 2.15 2.04 1.97 1.87 1.68 1.47 1.35 1.34 1.22 1.05 0.92 0.9 0.8 0.71 0.64 0.63 0.5
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Column total
4
8
2 34 36
Fisher's exact test: prob
2.07 2.08
0.39 2.17
0 0.48
0 0.39 5 7.65 1
2.08 2.08 2.08
1.87 2.09 0.84
0.02 0.23 0.11
5 6.89 1 3.44 5.76 1 0.25 1.2
2.08
0.78
0.01
2.08
0.74
2.08 2.09
1 1 1 Observed frequencies 0-4,00 4,01-15 1 Selected projects 0 3 1 Nonselected p. 4 0
3 4
Kullback 2Î test: S1= S2=
0 0.79
1
7
2Î=S1-S2=
0.02
0 0.76
1
Correction for two null fre
0.16 5
0.01 0.63
0 0.17 5 10.63 1
1 1
Fisher's exact test: prob
2.09 2.09 2.09
4.86 1.71 0.79
2.38 0.09 0.27
1.93 9.17 1 4.91 6.71 1 5 6.06
1 Observed frequencies 0-6,00 6,01-15 1 Selected projects 2 3 1 Nonselected p. 2 1
5 3
Kullback 2Î test: S1= S2=
2.09
3.66
0.96
1.13 5.75 1
1
8
2Î=S1-S2=
2.09 2.09
3.9 1.11
0.12 0.15
0 4.02 1.56 2.82 1
1 1
2.09 2.10
0.53 4.73
0.14 1.21
0 0.67 5 10.94 1
1 1
2.10 2.10 2.10 2.10
0.76 2.86 3.93 3.49
0.02 0.55 0.14 0.38
2.10
2.94
0.84
0 3.78
2.10 2.10
1.24 2.4
0.16 0.24
2.10 2.10 2.10
2.3 1.43 0.92
2.10
5 2.32 0 0.17
5.78 5.73 1 4.07 4.04 1
Column total
Column total
4
4
3
4
Fisher's exact test: prob Additional Fisher's exac
1 Observed frequencies 0-4,00 4,01-15 1 Selected projects 0 3 1 Nonselected p. 13 2 1 Column total 13 5
3 15 18
Kullback 2Î test: S1= S2= 2Î=S1-S2=
1
Correction for one null fre
2.05 3.45 0.55 3.19
1 Additional: 1
Fisher's exact test: prob
0.48 0.06 0.02
0 2.78 1.23 2.72 1.31 2.25
1 Observed frequencies 0-2,50 2,51-15 1 Selected projects 0 3 1 Nonselected p. 8 7
3 15
Kullback 2Î test: S1= S2=
1.91
0.14
0 2.05
1
18
2Î=S1-S2=
2.10
0.65
0.05
0.96 1.66
1
2.10
0.88
0
0.71 1.59
1
2.10 2.10 2.10 2.10 2.11
1.18 1.09 0.2 0.08 2.7
0.25 0.01 0 0 1.06
0 1.43 0 1.1 0 0.2 0 0.08 0.08 3.84 1
1 1 1 1 1
2.11 2.11 2.11
0.93 1.75 1.01
0.06 0.3 0.08
1.93 2.92 1 0 2.05 1 0 1.09
1 Observed frequencies 0-1,00 1,01-15 1 Selected projects 1 3 1 Nonselected p. 2 1
4 3
Kullback 2Î test: S1= S2=
2.11
0.69
0.03
0.19 0.91
1
7
2Î=S1-S2=
2.11
0.49
0
0 0.49 1
1
2.11 2.12 2.12 2.12 2.12 2.13
0.45 0.76 2.86 0.65 0.36 4.37
0 0.02 0.19 0.01 0.2 0.71
0 0.45 5 5.78 0.2 3.25 1 0 0.66 0 0.56 5 10.08 1
1 1 1 1 1 1
2.13 2.13 2.13
4.21 1.74 2.21
0.84 0.29 0.2
1.44 6.49 1 2.21 4.24 1.63 4.04
1 Observed frequencies 0-4,00 4,01-15 1 Selected projects 1 2 1 Nonselected p. 2 2
3 4
Kullback 2Î test: S1= S2=
2.13
0.94
0.64
1.55 3.13 1
1
7
2Î=S1-S2=
Column total
8
10
Correction for one null fre
Fisher's exact test: prob
Column total
3
4
Fisher's exact test: prob
Additional Fisher's exac 4
Column total
3
4
2.13 2.13
1.73 1.02
0.02 0.12
0.41 2.16 0.65 1.79
1 1
Fisher's exact test: prob Additional Fisher's exac
2.14
2.92
0.36
5 8.28 1
2.14 2.14 2.14
2.46 2.72 1.65
0.62 0.19 0.19
3.08 6.16 1 0.9 3.81 0.48 2.32
1 Observed frequencies 0-2,00 2,01-15 1 Selected projects 0 2 1 Nonselected p. 6 3
2.14
0.49
0.08
1.51 2.08
1
2.14
1.14
0.03
0.44 1.61
1 Alternative:
2.14 2.14 2.14
1.19 0.93 0.65
0.17 0.01 0.01
0.24 1.6 0.13 1.07 0.27 0.93
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 0 2 1 Nonselected p. 8 1
2.14 2.14
0.34 0.23
0.02 0.05
0 0.36 0.02 0.3
1 1
Column total
2.15 2.15 2.15
1.35 0.89 0.67
0.33 0.06 0.14
0.19 1.87 0 0.95 0 0.81
1 1 1
3
2.16 2.17
0.72 1.64
0.05 0.03
1.19 1.96 1 0.78 2.45
1 1
1 1
Subfield total sum
2.19
1.25
0.14
0.06 1.45
1
2
3.01
2.19
0.6
0.01
0 0.61
1
2.20
0.84
0.15
5 5.99 1
1
2.20
1.07
0.01
0.94 2.02 1
1
3.04
2.20
0.37
0
0.73
1.1
1
3.05
2.21
2.35
0.04
0 2.39
1
2.21
1.17
0.3
0 1.47 1
1
2.22
2.68
0.76
0.33 3.77 1
1
1
Column total
6
5
8
3
2Î=S1-S2=
2 9 11
Kullback 2Î test: S1= S2=
2Î=S1-S2= Additional Fisher's exac
Medical sciences 2007
3.02 3
3.03
2
3.06 3.07
4
3.08
0 0.85 0 0.78 0 0.49
1 1 1
4.35 9.41 1
1
3.01 3.01 3.01 3.01
1.76 2.18 1.41 1.16
0.21 0.75 0.49 0.38
4.09 6.06 1 0.04 2.97 1 0 1.9 1 0.19 1.73
1 Observed frequencies 0-1,50 1,51-15 1 Selected projects 0 5 1 Nonselected p. 6 2 1 Column total 6 7
3.01
1.36
0.27
0.05 1.68 1
1
3.01
1.08
0.54
0 1.62
1
3.01 3.01 3.01
1.26 1.02 0.86
0.1 0.16 0.24
0 1.36 0 1.18 0 1.1
1 1 1
3.01 3.01 3.01 3.02 3.03
0.7 0.09 0.45 0.4 3.99
0.27 0.73 0.16 0.01 2.6
0 0 0 0 0.22
3.03 3.03 3.03
2.66 4.3 1.25
1.57 0.95 0.36
1.27 5.5 1 0.04 5.29 2.06 3.67 1
1 Observed frequencies 0-2,00 2,01-15 1 Selected projects 4 4 1 Nonselected p. 2 1
3.03 3.03
2.46 0.86
0.42 0.05
0.06 2.94 1 1.04 1.95 1
1 1
1 1 1 1 1
11
Kullback 2Î test: S1= S2=
Fisher's exact test: prob
2.22 0.81 0.04 2.22 0.73 0.05 2.22 0.38 0.11 Medical sciences 3.01 3.7 1.36
0.97 0.82 0.61 0.41 1 6.81 1
2 9
3.09 sum of projectss, where H sum of projectss, where H
5 8 13
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Correction for one null fre
Fisher's exact test: prob Additional Fisher's exac
1
Column total
6
5
8 3 11
Kullback 2Î test: S1= S2= 2Î=S1-S2=
3.03 3.03 3.03
1.66 1.29 1.25
0.12 0.18 0.05
0 1.78 0 1.47 1 0 1.3 1
1 1 1
3.03 3.03 3.04
1.04 0.48 3.37
0.03 0.3 0.18
0 1.07 1 0 0.78 0 3.55 1
1 1 1
3.04 3.04 3.04 3.04
2 1.79 1.1 1.35
1.47 1.67 1.27 0.25
3.04
1.68
0.29
0 1.97 1
1
3.04
0.65
0.2
0.54 1.39 1
1
3.04 3.04 3.04
0.98 0.65 0.98
0.29 0.19 0.09
0 1.27 0.3 1.14 1 0 1.07 1
1 1 1
3.04 3.04 3.04 3.04 3.05
0.77 0.74 0.6 0.51 0.52
0.09 0.09 0.01 0 1.73
3.05 3.05 3.05
1.63 1.25 1.5
0.55 0.61 0.4
0 2.18 1 0.18 2.04 0 1.9 1
3.05
0.62
0.91
3.05 3.05 3.05
0.76 0.79 0.42
3.06
0 0 0 0.54
0 0 0 0 0
3.47 3.46 2.37 2.14
1 1 1 1
0.86 1 0.83 1 0.61 0.51 2.25 1
Fisher's exact test: prob Additional Fisher's exac
1 Observed frequencies 0-1,50 1,51-15 1 Selected projects 5 6 1 Nonselected p. 3 0 1 Column total 8 6
11 3 14
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Correction for one null fre
Fisher's exact test: prob Additional Fisher's exac
1 1 1 1 1 1 Observed frequencies 0-2,00 2,01-15 1 Selected projects 3 2 1 Nonselected p. 2 1
5 3
Kullback 2Î test: S1= S2=
0 1.53 1
1
8
2Î=S1-S2=
0.51 0.09 0.26
0 1.27 1 0 0.88 0 0.68
1 1 1
2.93
1.17
0.23 4.33 1
1
3.06 3.06 3.06
2.27 2.34 2.33
0.52 0.15 0.03
0 2.79 0 2.49 0 2.36 1
1 Observed frequencies 0-1,70 1,71-15 1 Selected projects 2 3 1 Nonselected p. 4 3
3.06
1.87
0.28
0 2.15
1
3.06 3.06 3.06
1.78 0.91 0.9
0.2 0.04 0.14
0 1.98 1 0.56 1.51 1 0 1.04
1 1 1
3.06 3.06 3.06 3.06 3.07 3.07 3.07 3.07 3.08
0.74 0.84 0.34 0.04 2.23 2 1.2 0.54 1.28
0.17 0.05 0.08 0 0.31 0.27 0.22 0.13 0.77
0 0 0 0 0 0 0 0 1.14
1 1 1 1 1 1 1 1 1
3.08 3.08
2.48 0.87
0.16 0.22
0 2.64 1 0.04 1.13 1
3.08
0.63
0.08
3.08
0.62
0.03
3.08 3.08
0.48 0.37
0.05 0.02
0.03 0.56 0 0.39
1 1
3.09
3.39
0.48
4.96 8.83 1
1
0.91 0.89 0.42 0.04 2.54 2.27 1.42 0.67 3.19
1 1 1
1
Column total
5
3
Fisher's exact test: prob Additional Fisher's exac
Column total
6
6
5 7 12
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
4
1 Observed frequencies 0-1,00 1,01-15 1 Selected projects 2 3
5
Kullback 2Î test: S1=
0 0.71 1
1 Nonselected p.
2
0
2
S2=
0 0.65 1
1
4
3
7
2Î=S1-S2=
Column total
Fisher's exact test: prob 6
3.09 3.09 3.09
1.18 0.82 0.73
0.32 0.09 0.01
3.09 0.61 0.1 3.09 0.26 0.03 Biotechnical sciences 4.01 1.38 0.37
0 1.5 0 0.91 1 0 0.74
1 1 1
0 0.71 0 0.29
1 1
5 6.75 1
1
5 5 0.27 2.61
4.01 4.01 4.01 4.01
0.69 0.28 3.5 0.74
0.08 0.07 0.22 0.01
4.01
0
0
3.29 3.29
1
4.01
0.24
0
2.96
3.2
1
4.01 4.01 4.01
0.85 1.98 0.52
0.48 0.14 0.22
1.69 3.02 0.9 3.02 0.96 1.7
1 1 1
4.01 4.01 4.01 4.01 4.01 4.01 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.02 4.03
1.11 1.2 0.46 0.31 0.24 0.14 0.55 0.03 0.35 1.85 0.07 1.66 0.32 0.56 0.49 0.37 0.29 0.28 1.45
0.26 0.03 0.23 0.1 0.01 0.02 1.02 0.02 0.05 0.7 1.5 0.26 0.37 0.01 0.05 0.01 0 0.01 0.42
0 0.03 0.56 0.29 0.45 0.14 5 5 3.16 0.38 0.46 0 0.23 0 0 0 0.02 0 4.88
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
4.03 4.03 4.03
0.86 1.15 1.59
0.87 0.06 0.09
5 6.73 5 6.21 1 0.93 2.61
1 Observed frequencies 0-1,50 1,51-15 1 Selected projects 1 3 1 Nonselected p. 14 7
4.03 4.03
2.01 1.5
0.2 0.46
0.32 2.53 0.04 2
1 1
4.03 4.03 4.03
1.8 1.23 0.25
0.1 0.53 0.01
0.04 1.94 1 0 1.76 1 1.49 1.75
1 1 1
4.03 4.03 4.03
0.79 0.67 0.54
0.64 0.46 0.24
0.18 1.61 0.45 1.58 0.62 1.4
1 1 1
Biotechnical sciences 2
4.03 4.03
0.52 1.32
0.09 0.02
0.77 1.38 0 1.34 1
1 1
Subfield total sum
4.03
0.43
0.15
0.67 1.25
1
4.01
4.03
0.54
0.5
0.14 1.18
1
4.02
4.03
0.99
0.11
1.1
1
4.03
4.03
0.14
0
0.83 0.97
1
4.04
0
5.77 5.35 3.99 1 3.36
Fisher's exact test: p =
1.37 1.26 1.25 0.7 0.7 0.3 6.57 5.05 3.56 2.93 2.03 1.92 0.92 0.57 0.54 0.38 0.31 0.29 6.75 1
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 0 2 1 Nonselected p. 7 7 1 Column total 7 9
2 14 16
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Correction for one null fre
Fisher's exact test: prob Additional Fisher's exac
Column total
15
10
4 21
Kullback 2Î test: S1= S2=
25
2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
4.03
0.53
0
0.43 0.96
1
4.05
4.03 4.03 4.03 4.03 4.03 4.03 4.03 4.04
0.23 0.6 0.55 0.46 0.51 0.25 0.18 1.4
0.25 0.1 0.01 0.13 0.02 0.01 0.03 0.83
0.48 0.2 0.16 0.11 0 0 0 1.53
1 1 1 1 1 1 1 1
4.06 sum of projectss, where H sum of projectss, where H
4.04 4.04 4.04
1.11 0.78 0.75
0.26 0.18 0.08
1.21 2.58 1.16 2.12 0.9 1.73
1 Observed frequencies 0-1,70 1,71-15 1 Selected projects 0 1 1 Nonselected p. 4 4
1 8
Kullback 2Î test: S1= S2=
4.04 4.04 4.04 4.04 4.04 4.06
0.97 1.17 0.65 0.68 0.37 2.02
0.16 0.2 0.12 0.06 0 0.83
0.58 0.23 0.18 0.15 0 5
1 1 1 1 1 1
5
9
2Î=S1-S2=
4.06 4.06 4.06
4.34 1.05 2.13
0.9 0.48 1.58
1.65 6.89 1 5 6.53 1.85 5.56
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 0 3 1 Nonselected p. 8 5
3 13
Kullback 2Î test: S1= S2=
4.06
1.84
1.66
1.94 5.44 1
1
16
2Î=S1-S2=
4.06
0.29
0.05
5 5.34
1
4.06
1.34
0.19
3.18 4.71
1
4.06 2.64 0.5 4.06 1.47 0.74 4.06 1.95 0.69 4.06 0.47 0.01 4.06 0.89 0.38 4.06 0.87 0.16 4.06 0.79 0.03 4.06 0.26 0.4 4.06 0.27 0.08 Social sciences 5.01 3.26 1.67
0 0.73 0.07 1.57 0 0 0.03 0 0
3.14 1 2.94 2.71 2.05 1.27 1.03 0.85 0.66 0.35
1 1 1 1 1 1 1 1 1
0.75 5.68 1
1
5.01 5.01 5.01
1.18 2.19 2.19
0 0 0
3.28 4.46 1 1.24 3.43 0.04 2.23
1 Observed frequencies 0-4,00 4,01-15 1 Selected projects 0 2 1 Nonselected p. 5 0
2 5
Kullback 2Î test: S1= S2=
5.01
1.56
0
0.01 1.57
1
7
2Î=S1-S2=
5.01
0.34
0
0.75 1.09
1
5.01 5.02
0.59 1.56
0.16 0.03
0.01 0.76 5 6.59 1
1 1
5.02 5.02 5.02 5.02
0.77 1.97 0.9 3.75
0.02 0.02 0.05 0.23
4.2 2.83 3.11 0.07
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 0 2 1 Nonselected p. 17 3 1 Column total 17 5
5.02 5.02
1.73 1.59
0.79 0.3
0.26 2.78 0.86 2.75
1 1
5.02 5.02 5.02
1.86 1.58 1.17
0.07 0.28 0.02
0.17 2.1 0 1.86 0.59 1.78
1 1 1
5.02
1.06
0.03
0.44 1.53
1
0.96 0.9 0.72 0.7 0.53 0.26 0.21 3.76 1
1.71 1.6 0.95 0.89 0.37 7.85
4.99 1 4.82 4.06 4.05
Column total
Column total
4
8
8
Correction for one null fre Fisher's exact test:
Column total
5
2
Fisher's exact test:
2 20 22
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
5.02 5.02 5.02 5.02 5.02 5.02 5.02 5.02 5.02 5.02 5.02 5.03 5.03
0.98 0.98 0.88 0.53 0.5 0.94 0.95 0.85 0.8 0.65 0.44 1.2 1.69
0.07 0 0.23 0.05 0.04 0.02 0 0 0.02 0.02 0.01 0.01 0.03
0.26 0.29 0.09 0.55 0.51 0 0 0 0 0 0.06 5 1.88
1.31 1.27 1.2 1.13 1.05 0.96 0.95 0.85 0.82 0.67 0.51 6.21 1 3.6 1
5.03 5.03
2.91 2.32
0.02 0.1
0.41 3.34 0.01 2.43
1 1
5.03 5.04
1.63 3.42
0.01 0.2
0.01 1.65 0 3.62
1 1
5.04
2.06
0
0.03 2.09
1
5.01
5.04
0.66
0.01
0.78 1.45
1
5.02
5.04
0.09
0
0 0.09
1
5.03
5.05
0.43
0
5 5.43
1
5.05
0.23
0
2.63 2.86
1
5.05
5.05
1.8
0
0
1.8
1
5.06
5.05
1.27
0
0.13
1.4
1
5.07
5.05
0.5
0
0.36 0.86
1
5.08
5.06
1.84
0
0.16
2
1
5.06
1.84
0.01
0.13 1.98
1
5.10
5.06
1.83
0
0.11 1.94
1
5.11
5.06
1.52
0.02
0 1.54
1
5.12
5.06 5.07 5.07
1.22 3.05 4.81
0.01 0 0.02
0.06 1.29 1 2.69 5.74 1 0.07 4.9 1
1 1 1
5.07 5.07 5.08 5.08 5.08 5.09 5.09 5.09 5.09 5.10
1.08 0.92 0.56 0.68 0.23 3.65 1.59 1.21 0.39 3.04
0.01 0.18 0.01 0 0 0.05 0.04 0.07 0 0.03
1.81 0.44 2.71 0.34 0 0 0 0 0 0.63
1 1 1 1 1 1 1 1 1 1
5.10 5.10 5.10
3.04 1.43 0.86
0 0 0.72
0.19 3.23 0.45 1.88 0.05 1.63
5.10
1.09
0
5.10 5.10 5.10 5.11 5.11 5.11
0.57 0.58 0.23 2.65 1.3 1.43
0.01 0 0.01 0 0 0
2.9 1.54 3.28 1 1.02 0.23 3.7 1 1.63 1.28 0.39 3.7
0 1.09 1 0.31 0 0 0.89 0.76 0.09
0.89 0.58 0.24 3.54 2.06 1.52
1 1 1 1 1 1 1 1 1 1 1 1 1
5
Fisher's exact test:
Social sciences 2007 Subfield total sum
4
5
5.04
5
5.09
5.13 sum of projectss, where H sum of projectss, where H
4
Fisher's exact test: 3
4
1 Observed frequencies 0-1,50 1,51-15 1 Selected projects 1 0 1 Nonselected p. 3 4
1 7
Kullback 2Î test: S1= S2=
1
8
2Î=S1-S2=
1 1 1 1 1 1
Column total
3
4
4
5.12 1.59 5.13 1.96 Humanities 6.01 4.01
0 0.07 0
0.03 1.62 0.26 2.29
1 1
1.98 5.99 1
1
0 0 0
5 1 5 1 5 1
1 1
6.01 6.01 6.01
5 5 5
0 0 0
6.01 6.01
4.56 4.02
0 0
0.08 4.64 0.33 4.35 1
1 1
6.01 6.01 6.01
4.06 3.83 2.88
0 0 0
0 4.06 0.03 3.86 1 0.42 3.3
1 1 1
6.01 6.01 6.01 6.01 6.01 6.01 6.02
3.19 3.17 2.7 2.11 1.97 0.75 4.19
0 0 0 0 0 0 0
0 0 0.06 0 0 0.08 5
3.19 3.17 2.76 1 2.11 1.97 0.83 9.19 1
1 1 1 1 1 1 1
6.02 6.02 6.02 6.02
4.87 3.54 2.92 2.53
0 0 0 0.01
0 0 0.26 0.18
4.87 1 3.54 1 3.18 1 2.72
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 1 4 1 Nonselected p. 3 0 1 Column total 4 4
6.02
2.5
0.11
0.04 2.65
1
Correction for one null fre
6.02 6.02 6.03
1.73 1.35 2.34
0 0 0
0 1.73 1 0 1.35 3.82 6.16 1
1 1 1
Fisher's exact test:
6.03 6.03 6.03 6.03 6.03 6.03 6.04 6.04 6.04
4.88 2.91 2.34 1.63 1.81 1.62 5 3.24 3.69
0 0 0 0 0 0 0 0 0
0 0.04 0 0.26 0 0 0 0.62 0
4.88 2.95 2.34 1.89 1.81 1.62 5 1 3.86 1 3.69 1
1 1 1 1 1 1 1 1 1
6.04 6.04 6.04 6.05
1.79 1.19 0.7 5
0 0 0 0
1.78 3.57 0 1.19 0 0.7 1 6 1
1 1 1 1
6.05 6.05 6.05
5 2.58 3.13
0 0 0
0 5 1 3.58 0.21 3.34 1
1 Observed frequencies 0-2,74 2,75-15 1 Selected projects 2 3 1 Nonselected p. 4 4
6.05 6.05
2.67 2.07
0 0
0.49 3.16 0.91 2.98 1
1 1
6.05 6.05 6.05
2.75 2.63 2.41
0 0 0
0 2.75 0 2.63 1 0.14 2.55
1 1 1
6.05 6.05 6.05 6.05 6.06
2.15 1.91 1.48 1.29 3.28
0 0 0 0 0
0.29 0.22 0 0 0.7
1 1 1 1 1
2.44 2.13 1 1.48 1.29 3.98 1
1 Observed frequencies 0-4,00 4,01-15 1 Selected projects 2 5 1 Nonselected p. 6 2 Column total
8
7
7 8 15
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Additional Fisher's exac
5 3 8
6
Column total
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Fisher's exact test: prob
6
7
5 8 13
Kullback 2Î test: S1= S2= 2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
4
Humanities 2007
6.06 6.06
1.84 1.13
0 0
0.03 1.87 1 0 1.13 1
1 1
Subfield total sum
6.06
0.7
0
0
0.7
1
6.01
6.07
4.35
0
0.95
5.3 1
1
6.07
1.96
0
0.21 2.17
1
6.08
2.57
0
0 2.57
1
6.08
1.59
0.02
0 1.61
1
6.09
4.53
0
0.1 4.63
1
6.09
4.15
0
6.09
2.91
0
0.16 3.07
6.09
2.56
0
0.08 2.64 1
6.09
2.25
0.12
0.22 2.59
1
6.10
6.09
2.06
0
0 2.06
1
6.11
6.10 6.10 6.10 6.10 6.11 6.11 6.12
5 3.75 1.76 1.36 5 3.26 4.78
0.01 0 0 0 0 0 0.02
0 0 0 0 0 0 0.56
6.12 6.12 6.12
3.28 4.31 3.6
0 0.01 0
1.04 4.32 0 4.32 0.15 3.75 1
1 Observed frequencies 0-3,00 3,01-15 1 Selected projects 3 2 1 Nonselected p. 1 3
6.12 6.12
2.91 2.24
0 0
0.53 3.44 0.72 2.96
1 1
6.12 6.12
2.38 2.25
0 0
0.08 2.46 1 0.1 2.35 1
1 1
6.12 2.05 0 0.02 2.07 1 Interdisciplinary studies
1
7 7 7
3.88 3.77 5.83
0.76 4.95 0.03
5 9.64 1 0.63 9.35 1.08 6.94
1 Observed frequencies 0-3,00 3,01-6,00 6,01-15 1 Selected projects 3 4 2 1 Nonselected p. 12 8 2
Kullback 2Î test: 9 S1= 22 S2=
7 7 7 7 7
6.19 0.83 1.35 4.41 2.16
0.01 0.13 0.08 0.65 0.19
0 5 4.22 0.41 2.53
6.2 1 5.96 5.65 1 5.47 4.88
1 1 1 1 1
31 2Î=S1-S2=
7 7 7 7 7 7 7 7 7 7 7 7 7 7
0.47 3.22 4.44 1.97 3.84 2.48 0.49 2.85 2.26 2.45 0.94 2.62 2.51 2.07
1.4 1.37 0.01 0.68 0 0.59 0.03 0.21 0.01 0.18 0 0.05 0 0.35
2.97 0.21 0 1.52 0 0.56 3.04 0 0.49 0.09 1.74 0 0.01 0
4.84 4.8 4.45 4.17 3.84 3.63 3.56 3.06 2.76 2.72 2.68 2.67 2.52 2.42
1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 4.15 1
5.01 3.75 1.76 1.36 5 3.26 5.36
1 1
1 1
1
1 1
1 1
2
6.02 6.03
2
6.04 6.05
6 Fisher's exact test:
1
6.06
1
1
6.07
1
3
1
6.08
1
p=0,60
1 1 1 1 1 1 1
6.09
4
6.12 sum of projectss, where H sum of projectss, where H
2
Column total
4
5
5 4
Kullback 2Î test: S1= S2=
9
2Î=S1-S2=
Fisher's exact test: prob Additional Fisher's exac
Column total
15
12
4
Fisher's exact test:
7 7 7 7 7 7 7 7 7
2.04 1.49 0.45 1.2 1.21 1.18 0.85 0.79 0.25
0.01 0.04 0.17 0.02 0.01 0 0 0.26 0
0 0 0.72 0 0 0 0.21 0 0.18
2.05 1.53 1.34 1.22 1.22 1 1.18 1.06 1.05 0.43
1 1 1 1 1 1 1 1 1
Natural sciences and m Subfield total sum Results of Fisher's exact test Projects 2007
1.01
No. of subfields No. Projects
%
Natural sciences and mathematics 2007
1.02 1.03
sum of projects, where H0 is rejected 101
66
1.04
sum of projects, where H0 is not rejected 51
34
1.05
100
1.06
total sum on field
9
152
Engineering sciences and technologies 2007
1.07
sum of projects, where H0 is rejected 83
1.08
37
sum of projects, where H0 is not rejected 140 63 total sum on field 22 223 100 Medical sciences 2007 sum of projects, where H0 is rejected 20 26
1.09 sum of projects, where H sum of projects, where H Engineering sciences a
sum of projects, where H0 is not rejected 56 74 total sum on field 9 76 100
Subfield total sum
Biotechnical sciences 2007
2.01
sum of projects, where H0 is rejected 16
20
2.02
sum of projects, where H0 is not rejected 63
80
2.03
100
2.04
total sum on field
6
79
Social sciences 2007
2.05
sum of projects, where H0 is rejected 29 sum of projects, where H0 is not rejected 43 total sum on field
13
72
40
2.06
60
2.07
100
2.08
Humanities 2007
2.09
sum of projects, where H0 is rejected 21
27
2.10
sum of projects, where H0 is not rejected 57
73
2.11
100
2.12
total sum on field
12
78
Interdisciplinary studies 2007
2.13
sum of projects, where H0 is rejected 0
0
2.14
sum of projects, where H0 is not rejected 31 100
2.15
1
31
100
ALL FIELDS
2.16 2.17
sum of projects, where H0 is rejected 270
38
2.18
sum of projects, where H0 is not rejected 441
62
2.19
100
2.20
total sum on all fields
72
711
2.21
total sum of projects on 39 39 (54%) 178 subfields,25 where significant 2.22 rejection is not exp sum of projectss, where H
sum of projectss, where H Medical sciences 2007 Subfield total sum 3.01 3.02 3.03 3.04 3.05 3.06 3.07 3.08
3.09 sum of projects, where H sum of projects, where H Biotechnical sciences 2 Subfield total sum 4.01 4.02 4.03 4.04 4.05
4.06 sum of projects, where H sum of projects, where H Social sciences 2007 Subfield total sum 5.01 5.02 5.03 5.04 5.05 5.06 5.07 5.08 5.09 5.10 5.11 5.12
5.13 sum of projects, where H sum of projects, where H Humanities 2007 Subfield total sum 6.01
6.02 6.03 6.04 6.05 6.06 6.07 6.08 6.09 6.10 6.11
6.12 sum of projects, where H sum of projects, where H Interdisciplinary studies Subfield total sum
7.02 sum of projects, where H sum of projects, where H Calculation of limits for rejection of null hypothesis H 0 Rejection of H 0 is possible if at least the probability of most extreme combination is less or equal to α=0,05. Probability of most extreme combination: p = (n-k)! k! /n! n ... number of research project applications k ... number of selected project applications ! ... factorial operator Limits are calculated from: (n-k)! k! /n! ≤ 0,05
No. of selected projects
Rejec tion is not possi ble if n< 0 for all numb ers 1 2 3 4 5 6
… all applications selected
20 7 6 7 7 8 … for all numb ers
n Slovenia in 2007/2008 on bibliometric and other scores
ijav za mentorje mladim raziskovalcem za leto 2008 in za (so)financiranje raziskovalnih projektov v letu 2008, http://www.arrs.gov.si/sl/progproj/rproj/ak am leaders and peer review decisions for project selection.
ojects were selected. positive association can be significantly rejected at α=0,05. In 18 (25%) subfields with 263 project applications (37%) null hypothesis can not be reject ibliometric and scientometric indicators.
Critical value χ2 (α=0,05;df=1) =
Kullback 2Î test: 97.97 96.09
3.84
1.88
0.88 H0 is not rejected. 0.42 H0 is not rejected.
Additional Fisher's exact test p =
0.17 H0 is not rejected.
Correction for one null frequency in c.t.: 2Î=
Critical value χ2 (α=0,05;df=2) =
Kullback 2Î test: 454.23 443.71
H0 is rejected.
10.52 >Cr. χ2
Fisher's exact tests:
5.99
1 27
6 4 H is rejected. p=0,00048 0
4 2 H is rejected. p=0,0061 0
Natural sciences and mathematics 2007/2008 H0: there is no positive association No. of projects 152 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is not rejected. H is not rejected. 12 0 0 H0 is rejected. 38 H0 is rejected. H0 is rejected. 22 H0 is rejected.
3 29
H0 is rejected. 30 H0 is rejected. H is not rejected. H0 is not rejected. 12 0 H0 is not rejected. 18 H0 is not rejected. 5 H0 is not rejected. H0 is rejected. 11 H0 is rejected. 4 H0 is not rejected. 101 51
In this subfields statistical analysis is not applicable.
Kullback 2Î test: 234.09 227.57
Critical value χ2 (α=0,05;df=1) =
H0 is rejected.
6.53 >Cr. χ2 Fisher's exact test:
Kullback 2Î test: 345.52 336.66 8.85
3.84
p=0,024
H0 is rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is rejected.
Correction for one null frequency in c.t.: 2Î=
7.85 >Cr. χ2
Fisher's exact test: probability p = Additional Fisher's exact test: p =
0.01 H0 is rejected. 4 2 H0 is rejected.
2 22
p=0,0072
Kullback 2Î test: 89.46 88.72
Critical value χ2 (α=0,05;df=1) =
H0 is not rejected.
0.73
2 8
p=0,091
Kullback 2Î test: 170.67 170.62
3.84
0.4 H0 is not rejected. 2 0 H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
0.05
1 11
p=0,25
0.65 H0 is not rejected. 2 4 H0 is not rejected.
Fisher's exact test: probability p = 0 2 p=0,30
Kullback 2Î test: 86.59
2 1 H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
78.2 8.39 Correction for one null frequency in c.t.: 2Î= Fisher's exact test:
Kullback 2Î test: 45.41 44.87
p=0,024
3.84
H0 is not rejected.
Fisher's exact test: probability p = Additional Fisher's exact test: p =
0 3
0.5 H0 is not rejected. 3 2 H0 is not rejected.
p=0,18 Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
1.86
Kullback 2Î test: 181.45 180.92
H0 is rejected.
Critical value χ2 (α=0,05;df=1) =
0.54
Kullback 2Î test: 163.88 162.02
7.39 >Cr. χ2 H0 is rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
0.54
1 11
0.46 H0 is not rejected. 2 5 H0 is not rejected.
Kullback 2Î test: 601.77 586.63 15.14
Critical value χ2 (α=0,05;df=2) =
Correction for one null frequency in c.t.: 2Î=
14.14 >Cr. χ2 H0 is rejected.
Fisher's exact test: probability p = 1 35 p=0,00027
6 5 H0 is rejected.
Engineering sciences and technologies 2007 H0: there is no positive association No. of projects 223 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is not rejected. H is not rejected. 8 0 0 H0 is not rejected. 17 H0 is not rejected. H0 is not rejected. 19 H0 is not rejected. H0 is rejected. 47 H0 is rejected. 6 H0 is not rejected. H0 is not rejected. 12 H0 is not rejected. H0 is not rejected. 36 H0 is not rejected. H0 is rejected. 7 H0 is rejected. H is not rejected. H0 is not rejected. 8 0 H0 is rejected. 18 H0 is rejected. H0 is not rejected. 7 H0 is not rejected. 4 H0 is not rejected. H0 is not rejected. 7 H0 is not rejected. H0 is rejected. 11 H0 is rejected. 3 H0 is not rejected. 1 H0 is not rejected. 1 H0 is not rejected. 0 H0 is not rejected. 2 H0 is not rejected. 3 H0 is not rejected. 2 H0 is not rejected. 4 H0 is not rejected. 83 140
5.99
Kullback 2Î test: 97.97 97.12 0.86
Kullback 2Î test: 463.23 462.44 0.79
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
Critical value χ2 (α=0,05;df=2) = 5.99 S1= 438.38 S2= 434.22 2Î=S1-S2= 4.17 Correction for one null frequency in c.t.: 2Î= H0 is not rejected. 3.17
Kullback 2Î test: 44.92 35.36
Critical value χ2 (α=0,05;df=1) =
H0 is rejected.
9.56 Correction for two null frequencies in c.t.: 2Î= Fisher's exact test: probability p = Kullback 2Î test: 45.41 44.87
3.84
H0 is not rejected. 0.5 H0 is not rejected. 2 3 p=0,18 3 0 H0 is not rejected.
Fisher's exact test: probability p = Additional Fisher's exact test: p =
Critical value χ2 (α=0,05;df=1) =
Correction for one null frequency in c.t.: 2Î= Fisher's exact test: probability p = Kullback 2Î test: 171.16 167.16
7.56 >Cr. χ2 p=0,029 H0 is rejected.
Critical value χ2 (α=0,05;df=1) =
0.54
Kullback 2Î test: 180.11 170.62 9.49
3.84
3.84
H0 is rejected. 8.49 >Cr. χ2 p=0,012 H0 is rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
4
0.15 H0 is not rejected.
Fisher's exact test: probability p =
Kullback 2Î test: 36.61 35.36
Critical value χ2 (α=0,05;df=1) =
Fisher's exact test: probability p = Additional Fisher's exact test: p =
0.2
3.84
H0 is not rejected.
1.24
Kullback 2Î test: 35.56 35.36
3
1 3
0.37 H0 is not rejected. H0 is not rejected. 3 p=0,11 0
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
0.63 H0 is not rejected. 1 2 p=0,14 4 0 H0 is not rejected.
Fisher's exact test: probability p = Additional Fisher's exact test: p =
Critical value χ2 (α=0,05;df=1) = Kullback 2Î test: 3.84 83.62 79.92 Correction for one null frequency in c.t.: 2Î= H0 is not rejected. 3.7 2.7 Cr. χ2 Additional Fisher's exact test: p = 0 2 p=0,018 9 0 H0 is rejected. Kullback 2Î test:
3.84
Medical sciences 2007 H0: there is no positive association No. of projects 76 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is rejected. H is rejected. 13 0 0 H0 is not rejected. 1 H0 is not rejected. H0 is not rejected. 11 H0 is not rejected. H0 is not rejected. 14 H0 is not rejected. H0 is not rejected. 8 H0 is not rejected. H0 is not rejected. 12 H0 is not rejected. 4 H0 is not rejected. H0 is rejected. 7 H0 is rejected. 6 H0 is not rejected. 20 56
Kullback 2Î test: 107.06 98.11 8.95
Critical value χ2 (α=0,05;df=1) =
Correction for one null frequency in c.t.: 2Î=
7.95 >Cr. χ2 H0 is rejected.
Fisher's exact test: probability p = Additional Fisher's exact test: p =
0.01 H0 is rejected. 5 1 H0 is rejected.
p=0,0047
Kullback 2Î test: 77.71 77.46 0.25
0 7
Critical value χ2 (α=0,05;df=1) =
3.84
3.84
H0 is not rejected.
Fisher's exact test: probability p = Additional Fisher's exact test: p =
3 2
p=0,42
Kullback 2Î test: 118.08 114.12 3.96
0.57 H0 is not rejected. 5 1 H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
Correction for one null frequency in c.t.: 2Î=
2.96
Fisher's exact test: probability p = Additional Fisher's exact test: p =
0.15 H0 is not rejected. 7 0 H0 is not rejected.
4 3
p=0,096
Kullback 2Î test: 45.41 45.37
Critical value χ2 (α=0,05;df=1) =
H0 is not rejected.
0.04
Kullback 2Î test: 86.68 86.34
0 2
0.71 H0 is not rejected. 5 1 H0 is not rejected.
p=0,11 Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
0.34
Kullback 2Î test: 39.38
3.84
1 4
0.5 H0 is not rejected. 4 3 H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
36.55 Correction for one null frequency in c.t.: 1.83 2Î=
0.28 H0 is not rejected.
Additional Kullback 2Î test for re-binned c Selected projects 0 Nonselected p.
2 2
Additional Fisher's exact test: p = 0 2
Fisher's exact test: p =
0 3
2 1 H0 is not rejected.
p=0,20
Kullback 2Î test: 145.98 143.46 2.52
Critical value χ2 (α=0,05;df=1) =
Correction for one null frequency in c.t.: 2Î= Fisher's exact test: probability p = Additional Fisher's exact test: p =
2.52
0 12
p=0,05
Kullback 2Î test: 268.67 266.25
3.84
Critical value χ2 (α=0,05;df=1) =
3.84
H0 is not rejected.
2.42
1 17
0.15 H0 is not rejected. 3 4 H0 is not rejected.
Biotechnical sciences 2007 H0: there is no positive association No. of projects 79 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) 16 H0 is rejected. H0 is not rejected. 12 H0 is not rejected. H is not rejected. H0 is not rejected. 26 0 H0 is not rejected. 9 H0 is not rejected.
0 H0 is not rejected. H0 is not rejected. 16 H0 is not rejected. 16 63
Critical value χ2 (α=0,05;df=1) = Kullback 2Î test: 3.84 61.73 60.46 H0 is not rejected. 1.27
Critical value χ2 (α=0,05;df=1) = Kullback 2Î test: 144.68 139.82 4.86
Kullback 2Î test: 46.11 37.73
3.84
3.86
H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
χ2 2Î= 8.38 Correction for two null frequencies 6.38 >Cr. in c.t.: H0 is rejected. Fisher's exact test:
p=0,048
H0 is rejected.
Critical value χ2 (α=0,05;df=1) = Kullback 2Î test: 241.7 235.03 6.67 Correction for one null frequency in c.t.: 2Î= H0 is rejected. 5.67 >Cr. χ2 Fisher's exact test: probability p = Additional Fisher's exact test: p =
0 20
p=0,0043
0.04 H0 is rejected. 2 0 H0 is rejected.
3.84
Fisher's exact test:
0 3
2 0
H0 is not rejected. p=0,10 Social sciences 2007 H0: there is no positive association No. of projects 72 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is rejected. H is rejected. 7 0 0 H0 is rejected. 22 H0 is rejected. 5 H0 is not rejected. 4 H0 is not rejected. 5 H0 is not rejected. 5 H0 is not rejected. 4 H0 is not rejected. 3 H0 is not rejected. 4 H0 is not rejected. H0 is not rejected. 8 H0 is not rejected. 3 H0 is not rejected. 1 H0 is not rejected. 1 H0 is not rejected. 29 43 Fisher's exact test:
Kullback 2Î test: 50.95 49.42
0 2
2 p=0.17 0
H0 is not rejected.
Critical value χ2 (α=0,05;df=1) =
3.84
1.53 Correction for one null frequency in c.t.: 0.52 2Î=
Kullback 2Î test: 124.38 121.03
Critical value χ2 (α=0,05;df=1) =
H0 is not rejected.
3.35
Additional Fisher's exact test: p =
0.1 H0 is not rejected. 5 1 H0 is rejected.
2 7
p=0,035
Kullback 2Î test: 50.95 44.87 6.09
3.84
Critical value χ2 (α=0,05;df=1) =
5.09 >Cr. χ2 H0 is rejected. 4 0 H0 is not rejected.
Correction for one null frequency in c.t.: 2Î= Fisher's exact test:
3.84
1 3 p=0,071
Fisher's exact test: probability p = 0 3
3 0 H0 is rejected.
p=0,050
Kullback 2Î test: 98.23 98.11
Critical value χ2 (α=0,05;df=1) =
H0 is not rejected.
0.12
Humanities 2007
3.84
H0 is not rejected.
0.58 2 5
3 3 H0 is not rejected.
H0: there is no positive association No. of projects 72 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is rejected. H is not rejected. 15 0 0 H0 is rejected. 8 H0 is not rejected. 7 H0 is not rejected. 6 H0 is rejected. H0 is not rejected. 13 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 6 H0 is not rejected.
H0 is not rejected.
4 H0 is not rejected. 2 H0 is not rejected. H0 is not rejected. 9 H0 is not rejected. 29 43
Kullback 2Î test: 55.51 54.37
Critical value χ2 (α=0,05;df=1) =
H0 is not rejected.
1.14
3 2
Kullback 2Î test: 329.04 327.53
3.84
0.96 H0 is not rejected. 2 p=0,83 2 H0 is not rejected.
Critical value χ2 (α=0,05;df=2) =
5.99
H0 is not rejected.
1.52
4 6 H0 is not rejected.
Natural sciences and mathematics 2007 H0: there is no positive association No. of projects 152 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is not rejected. H is not rejected. 12 0 0 H0 is rejected. 38 H0 is rejected. H0 is rejected. 22 H0 is rejected. H0 is rejected. 30 H0 is rejected. H is not rejected. H0 is not rejected. 12 0 H0 is not rejected. 18 H0 is not rejected. 5 H0 is not rejected. H0 is rejected. 11 H0 is rejected. H is not rejected. 4 0 101 51 Engineering sciences and technologies 2007 H0: there is no positive association No. of projects 223 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is not rejected. H is not rejected. 8 0 0 H0 is not rejected. 17 H0 is not rejected. H0 is not rejected. 19 H0 is not rejected. H0 is rejected. 47 H0 is rejected. H is not rejected. 6 0 H0 is not rejected. 12 H0 is not rejected. H0 is not rejected. 36 H0 is not rejected. H0 is rejected. 7 H0 is rejected. H0 is not rejected. 8 H0 is not rejected. H0 is rejected. 18 H0 is rejected. H0 is not rejected. 7 H0 is not rejected. 4 H0 is not rejected. H0 is not rejected. 7 H0 is not rejected. H0 is rejected. 11 H0 is rejected. H is not rejected. 3 0 1 H0 is not rejected. 1 H0 is not rejected. 0 H0 is not rejected. 2 H0 is not rejected. 3 H0 is not rejected. 2 H0 is not rejected. 4 H0 is not rejected. 83
140 Medical sciences 2007 H0: there is no positive association No. of projects 76 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H0 is rejected. 13 H0 is rejected. H0 is not rejected. 1 H0 is not rejected. H0 is not rejected. 11 H0 is not rejected. H0 is not rejected. 14 H0 is not rejected. H0 is not rejected. 8 H0 is not rejected. H0 is not rejected. 12 H0 is not rejected. H is not rejected. 4 0 H0 is not rejected. 7 H0 is rejected. 6 H0 is not rejected. 20 56 Biotechnical sciences 2007 H0: there is no positive association No. of projects 79 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) 16 H0 is rejected. H0 is not rejected. 12 H0 is not rejected. H is not rejected. H0 is not rejected. 26 0 H0 is not rejected. 9 H0 is not rejected. 0 H0 is not rejected. H0 is not rejected. 16 H0 is not rejected. 16 63 Social sciences 2007 H0: there is no positive association No. of projects 72 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H0 is rejected. 7 H0 is rejected. H0 is rejected. 22 H0 is rejected. 5 H0 is not rejected. 4 H0 is not rejected. 5 H0 is not rejected. 5 H0 is not rejected. 4 H0 is not rejected. 3 H0 is not rejected. 4 H0 is not rejected. H0 is not rejected. 8 H0 is not rejected. H is not rejected. 3 0 1 H0 is not rejected. 1 H0 is not rejected. 29 43 Humanities 2007 H0: there is no positive association No. of projects 78 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H0 is not rejected. 15 H0 is rejected.
H0 is rejected. 8 H0 is not rejected. H is not rejected. 7 0 6 H0 is rejected. H0 is not rejected. 13 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 6 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. H0 is not rejected. 9 H0 is not rejected. 21 57 Interdisciplinary studies 2007 H0: there is no positive association No. of projects 31 Fisher's exact Kullback test (α=0,05) 2Î test (α=0,05) H is not rejected. H is not rejected. 31 0 0 0 31
p://www.arrs.gov.si/sl/progproj/rproj/akti/metod-tapl-mr-130707.asp .
37%) null hypothesis can not be rejected. In 39 subfields (54%) with 178 (25%) project applications no significant statistical estimation can be made be
al Kullback 2Î test for re-binned c.t.: 5 5
Critical value χ2 (α=0,05;df=1) = S1=
46.11 37.73 Correction for two null frequencies in c.t.: 2Î=
0
2
S2=
5
7
2Î=S1-S2=
al Fisher's exact test: p = 5 p=0,048 0 H0 is rejected.
8.38
statistical estimation can be made because of to small population or not enough or to many selected.
lue χ2 (α=0,05;df=1) =
3.84
6.38 >Cr. χ2 H0 is rejected.