Test Of Association 2005

Dependence test of selection decisions for research project applications in Slovenia in 2005 on

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 decisions for p

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 case of different value from Fisher and Kullback test, the value of Fisher is taken. Note: in case 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 statistical analysis: in 2 subfields (3%) with 27 project applications (8%) null hypothesis of no positive association can be signifi

Mark of Score research Score A1 subfield Score A2 A=A1+A2+A3 A3 Selected Counter research projects Natural sciences and mathematics 1.01 1.22 0.73 0.77 2.72 1 Contingency table (c.t.): 1.02 4.66 1.21 5 10.87 1 1 Score category 1.02 1.02 1.02

5 5 0.49 3.93 5 0.1 3.32 3.22 0.15

1.02 1.02

1.98 0.57 1.67 2.88 0.62

1.02 1.02 1.02 1.02 1.02

1.34 1.48 0.74 0.71 0.62

1.03 1.03 1.03

10.49 1 1 Observed frequencies 0-5,00 5,01-15 Row total 9.03 1 1 Selected projects 2 3 5 6.69 1 Nonselected p. 5 1 6 1 Column total 7 4 11 1 Fisher's exact test probability p = 3.18 1 0.2 H0 is not rejected. 2.41 1 1.47 1 1.13 1 1 0.95 1 1

2Î=S1-S2= Additional Fisher's exact test p

0.13 0.74 5 0.52 0.04 1.97 0.99 0.43 0.09

5.87 1 Observed frequencies 0-1,30 1,31-15 2.53 1 1 Selected projects 2 4 1.51 1 1 Nonselected p. 2 2

Kullback 2Î test: S1= S2=

1.03 1.03

1.03 0.42 0.02 0.45 0.87

2Î=S1-S2=

1.03

0.17 0.01 1.14

1.47 1 1 Column total 4 6 10 1.32 1 Fisher's exact test probability p = 1.32 1 1 0.55 H0 is not rejected.

1.03 1.03 1.03

1.01 0.28 0.42 0.6 0.29 0 0.23

1.29 1 1.02 1 1 0.52 1 1

p=0,45

1.03 1.04

0.19 0 0.2 2.38 4.34

0.39 1 6.72 1 1 Fisher's exact test probability p =

Subfield total sum

1.04

2.73 1.82 0.03

4.58

1

1

1.04

1.16 0.29 3.02

4.47

1

4

1.04

3.36 0.79 0.31

4.46

1

1.04

2.03 1.21 1.08

4.32

1

1.04

0.45 0.87

1.32 1 1

1.05

1.48 2.44

3.92

1

1.05

0.82 2.74

3.56

1

1.05

0.3 0.75

1.84 0.89 0.04 0.73 0.42 0.25 0.08

4.22 3.5

Kullback 2Î test: S1= S2=

6 4

p=0,061 Category limit is marked by line i

Additional Fisher's exact test p

Natural sciences and mathema

1

### 1.01

0 p=0,33 H0 is not rejected.

### 1.02 1.03 1.04

Note:

1.05 1.06

rejection is not possible

1.07

1.05 1 1

1.08

1.09 sum of projects,where H0 is reje sum of projects,where H0 is not

1.06 1.06 1.07 1.07

0 0 2.29 0.25 0.21 0.07 2.93 2.57 0.69 1.1 0.01

2.29 1 1 0.53 1 6.19 1 1 1.11 1 1

1.08 1.08 1.08

1.93 3.71 0.09 0 2.29 1.12 0.13

5.64 1 1 Observed frequencies 0-1,10 1,11-15 2.38 1 1 Selected projects 2 3 1.25 1 Nonselected p. 2 1

5 3

Kullback 2Î test: S1= S2=

1.08 1.08

0.31 0.88 0.43 0.05 0.59

1.08

0.71 0.11

1.19 1 1 Column total 4 4 8 1.07 1 1 Fisher's exact test probability p = 0.82 1 1 0.5 H0 is not rejected.

1.08 0.29 0.21 0.5 1 1.08 0.1 0.04 0.14 1 1.09 2.23 2.29 3.78 8.3 1 1 1.09 2.61 1.48 0.14 4.23 1 1 1.09 0.73 1.48 0.62 2.83 1 Engineering sciences and technologies 2.01 4.16 3.81 2.9 10.87 1 1 2.01 1.1 1.53 1.91 4.54 1 2.01 0.72 0.25 0.73 1.7 1 2.01 0.39 1.16 1.55 1 2.01 0.71 0 0.71 1 1 2.02 4.5 1.61 1.36 7.47 1 1 2.02 1.77 0.21 0.34 2.32 1 2.02 0.36 0.88 1.24 1 2.02 0.36 0.88 1.24 1 2.02.06 0.54 0.13 0.67 1 1 2.73 0.26 0.81 0.17 0.69 0

5 5 5

7.99 5.98 5.69

2.03 2.03

0.61 0.08 5 0.14

5

2.03 2.03 2.03 2.03 2.03 2.03 2.03

1.19 1.19 0.29 0.13 1.01 1.02 0.29

5.69 1 1 Column total 7 5 12 5.14 1 1 Fisher's exact test probability p = 4.1 1 0.58 H0 is not rejected. 4.1 1 1.78 1 1.66 1 1.38 1 1 1.34 1 1 1.2 1

2.04 2.04 2.04

4.53 5 5 2.78 1.86 3.51 1.64 1.4 5

2.84 2.84 1.39 1.51

0.73

2.04 5 1.88 0.52 2.04.03 1.96 0.05 5 2.04 0.49 0.25 5 2.04 2.04 2.04 2.04 2.04.03 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.04 2.05 2.05

5 1.48 2.3 2.8 1.63 1.3 1.45 1.45 1.35 1.56 0.9 0.84 0.45 0.3 0.25 1.04 0.14

0.63 0.01 2.6 1.88 1.5 0.21 0.49 0.49 0.52 0.05 0.18 0.03 0.12 0.14 0 0.13 0.11

4.09 0.04 0.07 0.03 0.89

0.06

2.16

14.53 1 Observed frequencies 0-5,00 5,01-15 8.15 1 1 Selected projects 3 6 8.04 1 1 Nonselected p. 10 2

Additional Fisher's exact test p p=0,36

2.03 2.03 2.03

0.07 0.07 0.1 0.02 0.37 0.32 0.18

1 Observed frequencies 0-5,00 5,01-15 1 Selected projects 2 2 1 Nonselected p. 5 3

2Î=S1-S2=

4 8

9 12

7.4 1 1 Column total 13 8 21 7.01 1 1 5.74 1 1 Fisher's exact test probability p = 5.63 1 1 0.03 H0 is rejected. 5.58 1 4.94 1 1 4.75 1 1 3.16 1 2.4 1 1 1.94 1 1.94 1 1.93 1 1.61 1 1.08 1 0.87 1 0.57 1 0.44 1 0.25 1 3.33 1 0.25 1 1

Kullback 2Î test: S1= S2= 2Î=S1-S2=

Kullback 2Î test: S1= S2= 2Î=S1-S2=

2.06 2.06 2.06

5 1.51 5 2.08 0.88 5 2.14 0.69 1.87

2.06 2.06 2.06 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.07 2.08 2.08 2.08

2.11 0.82 0.72 4.27 1.94 0.73 0.73 0.42 0.37 0.28 0.23 0.18 2.17 1.58 1.58

2.08 2.08 2.09

1.26 0.04 5 0.46 0.13 0.01 5 0.56 5

2.09 2.09 2.09

3.66 0.03 5 2.27 1.78 0.25 2.41 0.25 1.14

8.69 1 1 Selected projects 2 4.3 1 1 Nonselected p. 2 3.8 1 1 Column total 4

2.09

1.74

2.24

2.09 2.09

1.56 0.1 0.49 0.37 0.08

2.15 1 1 0.45 1

2.10 2.10 2.10

3.12 0.6 2.93 2.48 0.18 2.05 0.68 0.39 1.74

6.65 1 Observed frequencies 0-2,00 2,01-15 4.71 1 Selected projects 2 1 2.81 1 1 Nonselected p. 6 4

2.10 2.10 2.10

0.68 0.39 1.74 0.28 0.03 2.12 1.45 0.49

2.81 2.43 1.94

2.10 2.10 2.10 2.10 2.10 2.10 2.10

1.45 1.35 0.96 0.69 0.49 0.56 0.28

2.11 2.11

0.23 1.07 0.11 1.01 0.02 0 0 0 0.01 0.09 0 0 0 0.07 0.07

1.17 1.11 0.05 0.71 0.05 0.05

4.8 5 5

0.5

11.51 1 1 Fisher's exact test probability p = 7.96 1 1 0 3 4.7 1 1 3 0 H0 is rejected. 3.51 1 p=0,050 3 1 0.88 1 5.99 1 1 1.96 1 0.78 1 0.78 1 0.42 1 0.38 1 0.37 1 0.23 1 0.18 1 6.97 1 1 Fisher's exact test probability p = 6.65 1 1 1 6.65 1 1 3 0 6.3 1 p=0,40 H0 is not rejected. 0.6 1 10.56 1 1 Observed frequencies 0-4,00 4,01-15 3 0 3

5 2 7

Kullback 2Î test: S1= S2= 2Î=S1-S2=

1 Fisher's exact test probability p = 0.29 H0 is not rejected.

3 10

Kullback 2Î test: S1= S2=

1 Column total 8 5 13 1 1 Fisher's exact test probability p = 1.94 1 1 0.8 H0 is not rejected. 1.64 1 1.56 1 1 0.71 1 0.64 1 0.56 1 0.41 1

2Î=S1-S2=

0.22 0.02 2.57 0.66 0.16 1.7

2.81 2.52

1 1

Subfield total sum

2.11

1.17 0.08 0.78

2.03

1

2.01

2.11

1.05 0.43

1.48 1 1

2.02

2.11.03 0.53 0.11 0.13

0.77

1

2.03

2.11

0.55 0.14

0.69

1

2.04

2.12

2.01 0.19 1.52

3.72 1 1

2.05

2.12

0.69

0 2.52

3.21

1

2.06

2.12

1.88 0.26 0.1

2.24

1

2.07

1.4 1 1

2.08

1.09 1 1

2.09

8.86 1 1

2.10

2.12

0.8

0.49 0.29 0.06 0.54 0.02 0 0.15 0 0.13

0.1 0.5

2.12

0.88 0.21

2.13

2.77 1.09

5

Engineering sciences and tech

2.13

1.64 0.44 3.8

2.13

0.7 0.73 1.94

5.88 1 1

2.11

3.37

1

2.12

2.13

1.03

0 0.35

1.38

1

2.13

2.14

0.91 0.15 1.32

2.38

1

2.14

2.14

1.42 0.11 0.41

1.94 1 1

2.15

2.15

4.66 0.44

5

10.1

1

2.16

2.15

1.7 0.03

5

6.73

1

2.17

0.5

2.15

0.3 0.15 0.05

2.16

1.07 0.06 1.76

2.16 1.17 0.6 2.16 0.36 0 2.19 1.49 0.14 2.19 0.91 0 2.19 0 0 2.20 0.21 0.04 2.20 0.36 0.26 2.20 0.11 0 Medical sciences

0.5 0.07

5 2.09 0.81

2.18 2.19

2.27 1 0.36 1 1 1.7 1 0.91 1 0 1 5.25 1 2.71 1 0.92 1

2.20 sum of projects,where H0 is reje sum of projects,where H0 is not

3.01 3.01 3.01 3.01

0.81 1.88 1.04 0.48

3.01 3.01

0.25 1.09 0.75 0.48

1.34 1.23

3.01 3.01 3.02 3.02

0.66 0.06 0.26 0.4 2.46 2.39 0.48 0.49

0.72 0.66 4.85 0.97

3.03 3.03 3.03

0.43 2.5 4.34 2.73 0.45 0.38 0.4 2.52

7.27 1 1 Observed frequencies 0-1,00 1,01-15 3.56 1 Selected projects 2 1 2.92 1 Nonselected p. 4 7

3.03 3.03 3.03

2.36 0.2 1.34 0.29 0.67 0.82

2.56 1.63 1.49

3.03 3.03 3.03

0.52 0.43 0.51 1.11 0.08 0.52 0.16 0.32

1.46 1.19 1

3.03 3.03

0.4 0.36 0.57 0.19

0.76 1 1 0.76 1 1

Subfield total sum

0.44

1

3.01

3.03

2.73 1.57 0.38 0.87

1

2.89 1 1

0.3 0.13 0.01

3.54 1 3.45 1 1.42 1 1 1.35 1

Observed frequencies 0-1,34 1,35-15 Selected projects 0 1 Nonselected p. 4 3 Column total 4 4

1 7 8

Kullback 2Î test: S1= S2= 2Î=S1-S2=

1 1 Fisher's exact test probability p = 1 0.5 H0 is not rejected. 1 1 1 1 3 11

1 Column total 6 8 14 1 1 Fisher's exact test probability p = 1 0.94 H0 is not rejected. 1 1

Kullback 2Î test: S1= S2= 2Î=S1-S2=

Medical sciences

3.03

0.29 0.11

0.4

1

3.02

3.03

0.37 0.02

0.39

1

3.03

3.04

2.67 2.17

4.84 1 1

3.04

3.04

0.85 1.48 0.62

2.95 1 1 Fisher's exact test probability p =

3.05

3.04

1.03 0.12

1.15 1 1

3.04

0.32 0.06

0.38 1 1

3.04

0.35 0.02

0.37

3.04 3.05 3.05

0.04 0.16 4.98 1.62 1.8 2.34 1.06

1

0.2 1 8.4 1 1 3.4 1

0

4

3.06

2

0

3.07

p=0,070 H0 is not rejected.

3.08

3.09 sum of projects,where H0 is reje sum of projects,where H0 is not

3.05 3.05 3.05 3.05

0.53 0.58 0.36 0.16

0.54 0.19 0.09 0.13 0.14

3.06 3.06 3.06

2.57 1.83 3.16 0.48 1.88 0.39

4.4 1 1 Observed frequencies 0-1,25 1,25-15 3.64 1 Selected projects 0 2 2.27 1 Nonselected p. 6 5

3.06 3.06 3.06

0.48 0.87 0.48 0.87 0.58 0.1 0.61

1.35 1.35 1.29

3.06 3.06 3.06 3.06 3.06 3.06 3.06 3.07 3.07

1.25 0.75 0.82 0.66 0.5 0.28 0.28 5 1.6

3.08 3.08 3.08

5 0.47 4.7 4.04 2.77 1.22 0.3 2.76

3.08 3.08 3.08

0.72 1.8 0.33 1.45 1.36 0.33 1.18

0.04 0.48 0.23 0.18 0.18 0.14 0.14 0.47 4.7 5

3.08 0.81 0 3.08 0.62 0.09 3.08 0.58 0 3.08 0 0.49 0.06 3.08 0.1 0.04 3.09 0.89 0.38 3.09 0.23 0.02 Biotechnical sciences

1.07 0.77 0.58 0.3

1 1 1 1

1 1 1 1 2 11

Kullback 2Î test: S1= S2=

1 Column total 6 7 13 1 1 Fisher's exact test probability p = 1.29 1 1 0.27 H0 is not rejected. 1.23 1 1.05 1 0.84 1 0.68 1 0.42 1 0.42 1 10.17 1 6.6 1

2Î=S1-S2=

10.17 1 1 Observed frequencies 0-1,50 1,51-15 6.81 1 Selected projects 0 2 4.28 1 Nonselected p. 5 4

Kullback 2Î test: S1= S2=

2 9

2.85 1 Column total 5 6 11 2.81 1 1 1.51 1 Fisher's exact test probability p = 0.81 1 0.27 H0 is not rejected. 0.71 1 0.58 1 0.55 1 0.14 1 1.27 1 0.25 1

2Î=S1-S2=

Kullback 2Î test: S1= S2=

4.01 4.01 4.01

2.16 0.59 0.81 1.8 0.21 0.27 1.07 0.15 1.01

3.56 1 Observed frequencies 0-1,00 1,01-15 2.28 1 1 Selected projects 1 1 2.23 1 Nonselected p. 3 3

4.01 4.01 4.01

0.82 0.12 0.58 0.44 0.05 0.23 0.24 0 0.34

1.52 0.72 0.58

4.01 4.01 4.02 4.02 4.02 4.02 4.02

0.13 0.15 1.08 0.07 0 0.07 0

4.03 4.03 4.03

2 6

1 Column total 4 4 8 1 1 Fisher's exact test probability p = 0.41 1 1 0.79 H0 is not rejected. 0.21 1 4.21 1 3.4 1 0.43 1 0.07 1 0 1

2Î=S1-S2=

1 1.72 5 3.29 2.54 1.1 3.51 0.68 0.98

7.72 1 1 Observed frequencies 0-1,25 1,26-15 6.93 1 Selected projects 1 5 5.17 1 Nonselected p. 11 6

Kullback 2Î test: S1= S2=

4.03 4.03 4.03

2.11 1.55 0.42 0.34 0 2.74 1.94 0.61 0.06

4.03

1.03 0.32

4.08 1 1 Column total 12 11 23 3.08 1 2.61 1 1 Fisher's exact test probability p = 1.35 1 0.06 H0 is not rejected.

0.01 0 0.82 2.61 0.08 0 0

0.27 0.06 2.31 0.72 0.35

6 17

2Î=S1-S2=

4.03 4.03 4.03

1.05 0.27 0.45 0 0.82 0.45 0 0.82

1.32 1 1 Additional Fisher's exact test p = 1.27 1 3 3 1.27 1 14 3 1.26 1 1 p=0,16 H0 is not rejected. 1.19 1 1.16 1 1.08 1 1 1.08 1 1.02 1 1 1

4.03 4.03 4.03 4.03 4.03 4.03 4.03

1.13 0.36 1.06 0.81 0.81 0.42 0.4

Biotechnical sciences 2005

4.03 4.03

0.37 0.34 0.22 0.34 0 0.56

0.93 0.9

1 1

Subfield total sum

4.03

0.69

0.79

1

4.01

4.03

0.15 0.19 0.07

0.41

1

4.02

0.37

1

4.03

0

1

4.04 4.05

0.13 0.39 0.1 0.18 0.18 0.6 0.48

0.44 0.09 0.09 0.12

0.1

4.03

0

0 0.37

4.03

0

0

4.04

1.35 0.96 1.25

3.56 1 1

4.06 3.64 5 1.78 4.06 0.84 0.21 2.9 4.06 2.05 0.34 1.3 4.06 0.19 0 Social sciences 2005 5.01.01 3.2 0 5 5.01 1.51 1.3 0.41 5.01 0.48 0 0.12

10.42 1 1 3.95 1 1 3.69 1 0.19 1 1

5.02 5.02 5.02

10.29 1 Observed frequencies 0-2,00 2,01-15 3.14 1 Selected projects 1 2 3.14 1 1 Nonselected p. 3 4

5 0.29 5 1.32 0.02 1.8 1.32 0.02 1.8

5.02 2.21 0.03 5.02.01 2.21 0.03 5.02.01 2.21 0.03

4.06 sum of projects,where H0 is reje sum of projects,where H0 is not

8.2 1 1 3.22 1 1 0.6 1 3 7

Kullback 2Î test: S1= S2=

2.24 1 Column total 4 6 10 2.24 1 1 2.24 1 Fisher's exact test probability p = 1.55 1 0.67 H0 is not rejected. 1.08 1 1 0.87 1 0.64 1 7.35 1 1 Fisher's exact test probability p = 4.93 1 1 1 2 3.34 1 3 0 2.36 1 1 p=0,20 H0 is not rejected. 2.19 1 1.98 1 4.89 1 4.89 1 3.96 1

2Î=S1-S2=

5.04 2.5 0.51 5.04.01 1.22 0 0.37

3.01 1.59

1 1

Subfield total sum

5.04

5.02.02 5.02.01 5.02 5.02.02 5.03 5.03 5.03

1.54 1.08 0.7 0.64 1.82 1.96 1.65

0.01 0 0.04 0.13 0 0.53 5 0.06 2.91 0 1.69

5.03 5.03 5.03 5.04.01 5.04.01 5.04

1.15 0 1.21 2.19 0 1.9 0 0.08 1.46 0.01 3.42 1.46 0.01 3.42 1.22 0.03 2.71

Social sciences 2005

1.1

0 0.37

1.47

1

5.01

5.04.03 0.38

0 0.14

0.52

1

5.02

5.05

3.22 0.01

3.23

1

5.03

5.05

0.73

0

0.73

1

5.04

5.05

0.73

0

0.73

1

5.05

5.06.03 0.56

0

0.56

1

5.06

5.07

1.56 0.18 0.6

2.34

1

5.07

0

0

1

5.08

0 2.87

4

1

5.09

5.08

0

5.10

1.13

5.10

0.79 0.94 0.54

2.27 1 1

5.10

5.10.01 0.58 0.51

1.09

1

5.11

5.10.02 0.53

0.53

1

5.12

0

5.11.01 2.5 0 5.11 1.98 0 5.11 1.4 0 5.11 1.5 0 5.12.01 2 0 5.12 0.89 0.12 5.13 0.75 0 Humanities 2005 6.01 6.01 6.01

5 5 5

6.01 6.01 6.01

2.81 1.8 1.8

6.01 6.02 6.03.02 6.03 6.03.02 6.03 6.03 6.04

0.84 0.2 0.15 0.06 0.01

0 0 0

5 1 1 Observed frequencies 0-2,00 2,01-15 5 1 Selected projects 0 1 5 1 Nonselected p. 3 3

1 6

Kullback 2Î test: S1= S2= 2Î=S1-S2=

0.81 0 0.09 0.65 0.01 0.05 2 0 0.58 1.97 0.02 1.36 0 0.09 0.86 0 0.52 0.02 5 0

6.04 6.04

3.82 3.65

0 0.65 0

4.47 1 1 3.65 1

Subfield total sum

6.04

1.31

0 0.06

1.37 1 1

6.01

6.05

3.38

0 1.11

4.49 1 1

6.02

6.05

3.26

0

3.26

1

6.03

6.05

2.47

0 0.5

2.97 1 1

6.04

6.05

1.41

0

1.41

1

6.05

6.06

2.43

0

2.43

1

6.06

6.06

2.01

0

2.01

1

6.07

6.06

1.25

0 0.06

1.31

1

6.08

6.07

0.56 0.03

0.59

1

6.09

6.08

3.28

0 0.01

3.29

1

6.10

6.09

3.17

0 0.16

3.33 1 1

6.11

6.09 2.77 0 0.28 6.10 4.5 0 0.25 6.10 0.26 0.01 6.11 3.76 0 6.11 1.19 0 6.12 1.8 0.04 0.03 6.12 1 0 0.75 Interdisciplinary studies

3.05 1 4.75 1 1 0.27 1 3.76 1 1.19 1 1.87 1 1 1.75 1 1

6.12 sum of projects,where H0 is reje sum of projects,where H0 is not

5 0.91 1.09

3.07 1.8 1.8

5.13 sum of projects,where H0 is reje sum of projects,where H0 is not

1 Column total 3 4 7 1 1 Fisher's exact test probability p = 0.9 1 0.57 H0 is not rejected. 0.71 1 2.58 1 1.99 1 1.45 1 0.86 1 1 0.54 1 5 1 1

7.02

0 0.26 0 0

3.34 1 1 2.18 1 1.55 1 1.5 1 2.06 1 1.02 1 0.75 1

7

1 Observed frequencies 0-3,00 3,01-15

Humanities 2005

Kullback 2Î test:

7.02 7.02

1.88 0.03 3.44 2.1 0.21 2.78

5.35 1 Selected projects 4 5.09 1 1 Nonselected p. 1

3 2

7 3

7.02 7.02 7.02

2.08 0.8 0.77 2.52 0.82 0.21 1.12 1.2

7.02 7.02 7.02 7.02

1.01 0.46 0.25 0.94 0 0.51 0.15 0.39 0.18

3.65 1 1 Column total 5 5 10 3.55 1 1 2.32 1 1 Fisher's exact test probability p = 1.72 1 1 0.92 H0 is not rejected. 0.94 1 0.66 1 1 0.57 1 1

S1= S2= 2Î=S1-S2=

Natural sciences and mathema Results of Fisher's exact test Projects 2007 No. of subfields No. Projects %

Subfield total sum

Natural sciences and mathematics 2005

1.01

sum of projects,where H0 is0rejected0

1.02

sum of projects,where H0 is 46not rejected 100

1.03

total sum on field 9

1.04

46

100

Engineering sciences and technologies

1.05

sum of projects,where H0 is 27rejected 24

1.06

sum of projects,where H0 is 87not rejected 76

1.07

total sum on field 20

1.08

114

100

Medical sciences 2005 sum of projects,where H0 is0rejected0 sum of projects,where H0 is 64not rejected 100 total sum on field 9 64 100

1.09 sum of projects,where H0 is reje sum of projects,where H0 is not Engineering sciences and tech

Biotechnical sciences 2005 sum of projects,where H0 is0rejected0

Subfield total sum

sum of projects,where H0 is 41not rejected 100

2.01

total sum on field 6

2.02

41

100

Social sciences 2005

2.03

sum of projects,where H0 is0rejected0

2.04

sum of projects,where H0 is 43not rejected 100

2.05

total sum on field 13

2.06

43

100

Humanities 2005

2.07

sum of projects,where H0 is0rejected0

2.08

sum of projects,where H0 is 34not rejected 100

2.09

total sum on field 12

2.10

34

100

Interdisciplinary studies 2005

2.11

sum of projects,where H0 is0rejected0

2.12

sum of projects,where H0 is 10not rejected 100

2.13

total sum on field 1

2.14

10

100

ALL FIELDS

2.15

sum of projects,where H0 is 27rejected8

2.16

sum of projects,where H0325 is not rejected 92

2.17

total sum on field 70

2.18

352

100

2.19

total sum of projects 53 on 53 160 (76%) subfields, 45 where 2.20significant rejection is not exp sum of projects,where H0 is reje sum of projects,where H0 is not

Medical sciences 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 H0 is reje sum of projects,where H0 is not Biotechnical sciences 2005 Subfield total sum 4.01 4.02 4.03 4.04 4.05

4.06 sum of projects,where H0 is reje sum of projects,where H0 is not Social sciences 2005 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 H0 is reje sum of projects,where H0 is not Humanities 2005 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 H0 is reje sum of projects,where H0 is not Interdisciplinary studies Subfield total sum

7.02 sum of projects,where H0 is reje sum of projects,where H0 is not

ions in Slovenia in 2005 on bibliometric and scientometrics scores

evanja prijav za mentorje mladim raziskovalcem za leto 2008 in za (so)financiranje raziskovalnih projektov v letu 2008, http://www.arrs.gov.si/sl/progpro earch team leaders and decisions for project selection.

ud.com/fisher.htm .

of no positive association can be significantly rejected at α=0,05. In 15 (21%) subfields with 165 project applications (47%) null hypothesis can not be re

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 78.21 75.93 2.28
3.84

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 65.46 65.18 0.28
3.84

Additional Fisher's exact test p = H0 is not rejected.

3

3

3

1

Natural sciences and mathematics 2005 H0: there is no positive association No. of projekts 46 Fisher's Kullback exact test2Î test H is not rejected. 1 0 is not rejected. 11 H0 is not Hrejected. 0 is not rejected. 10 H0 is not Hrejected. 0 6 H0 is not rejected. 3 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. is not rejected. 8 H0 is not Hrejected. 0 3 H0 is not rejected. 0 46 Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 45.41 44.87

3.84

0.54
3

2

3

0

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 87.87 87.7 0.17
3.84

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 204.79 199.15 5.64 >Cr. χ2 H0 is rejected.

3.84

Alternative: Observed 0-2,50 frequencies 2,51-15

Kullback 2Î test: 39.38 36.55 2.83 Correction for one null frequency in c.t.: 2Î= 1.83
Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 102.05 102.01 0.04
Engineering sciences and technologies 2005 H0: there is no positive association No. of projekts 114 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) H is not H rejected. is not rejected. 5 0 0 is not rejected. 5 H0 is not Hrejected. 0 is not rejected. 12 H0 is not Hrejected. 0 H0 is rejected. 21 H0 is rejected. 2 H0 is not rejected. 6 H0 is rejected. 9 H0 is not rejected. 5 H0 is not rejected. is not rejected. 7 H0 is not Hrejected. 0 is not rejected. 13 H0 is not Hrejected. 0

3.84

Selected projects 1 Nonselected p.2 3

4 0 4

5 2 7

Fisher's exact test probability p = p=0,14 H0 is not rejected.

6 H0 is not rejected. 5 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. 3 H0 is not rejected. 3 H0 is not rejected. 0 H0 is not rejected. 0 H0 is not rejected. 3 H0 is not rejected. 3 H0 is not rejected. 27 87

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 3.84 50.95 49.42 1.53 Correction for one null frequency in c.t.: 2Î= 0.53
Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 115 114.12 0.88
Medical sciences H0: there is no positive association No. of projekts 64 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) H is not H rejected. is not rejected. 8 0 0 2 H0 is not rejected. is not rejected. 14 H0 is not Hrejected. 0 6 H0 is not rejected. 6 H0 is not rejected. is not rejected. 13 H0 is not Hrejected. 0 2 H0 is not rejected. is not rejected. 11 H0 is not Hrejected. 0 2 H0 is not rejected. 0 64

3.84

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 107.06 104.27 2.79
3.84

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 82.71 79.92 2.79
3.84

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 46.45 46.45 0
3.84

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 234.58 230.22 4.36 >Cr. χ2 H0 is rejected.

3.84

Biotechnical sciences 2005 H0: there is no positive association No. of projekts 41 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) is not rejected. 8 H0 is not Hrejected. 0 5 H0 is not rejected. is rejected. 23 H0 is not Hrejected. 0 1 H0 is not rejected. 0 H0 is not rejected. 4 H0 is not rejected. 0 41

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 66.51 66.43 0.08
Social sciences 2005 H0: there is no positive association No. of projekts 43 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) 3 H0 is not rejected. is not rejected. 10 H0 is not Hrejected. 0 6 H0 is not rejected. 7 H0 is not rejected. 3 H0 is not rejected. 1 H0 is not rejected.

3.84

1 H0 is not rejected. 1 H0 is not rejected. 0 H0 is not rejected. 4 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. 1 H0 is not rejected. 0 43

Kullback 2Î test: Critical value χ2 (α=0,05;df=1) = 40.43 39.18 1.24
3.84

Humanities 2005 H0: there is no positive association No. of projekts 34 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) H is not H rejected. is not rejected. 7 0 0 1 H0 is not rejected. 5 H0 is not rejected. 4 H0 is not rejected. 4 H0 is not rejected. 3 H0 is not rejected. 1 H0 is not rejected. 1 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 0 34

Kullback 2Î test:

Critical value χ2 (α=0,05;df=1) =

3.84

66.51 66.02 0.48
Natural sciences and mathematics 2005 H0: there is no positive association No. of projekts 46 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) 1 H0 is not rejected. is not rejected. 11 H0 is not Hrejected. 0 H is not H rejected. is not rejected. 10 0 0 6 H0 is not rejected. 3 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. is not rejected. 8 H0 is not Hrejected. 0 3 H0 is not rejected. 0 46 Engineering sciences and technologies 2005 H0: there is no positive association No. of projekts 114 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) H is not H rejected. is not rejected. 5 0 0 is not rejected. 5 H0 is not Hrejected. 0 is not rejected. 12 H0 is not Hrejected. 0 H0 is rejected. 21 H0 is rejected. 2 H0 is not rejected. 6 H0 is rejected. 9 H0 is not rejected. 5 H0 obdržimo is not rejected. 7 H0 is not Hrejected. 0 is not rejected. 13 H0 is not Hrejected. 0 6 H0 is not rejected. 5 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. 3 H0 is not rejected. 3 H0 is not rejected. 0 H0 is not rejected. 0 H0 is not rejected. 3 H0 is not rejected. 3 H0 is not rejected. 27 87

Medical sciences H0: there is no positive association No. of projekts 64 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) is not rejected. 8 H0 is not Hrejected. 0 2 H0 is not rejected. is not rejected. 14 H0 is not Hrejected. 0 6 H0 is not rejected. 6 H0 is not rejected. is not rejected. 13 H0 is not Hrejected. 0 2 H0 is not rejected. is not rejected. 11 H0 is not Hrejected. 0 2 H0 is not rejected. 0 64 Biotechnical sciences 2005 H0: there is no positive association No. of projekts 41 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) is not rejected. 8 H0 is not Hrejected. 0 5 H0 is not rejected. is rejected. 23 H0 is not Hrejected. 0 1 H0 is not rejected. 0 H0 is not rejected. 4 H0 is not rejected. 0 41 Social sciences 2005 H0: there is no positive association No. of projekts 43 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) H is not rejected. 3 0 is not rejected. 10 H0 is not Hrejected. 0 6 H0 is not rejected. 7 H0 is not rejected. 3 H0 is not rejected. 1 H0 is not rejected. 1 H0 is not rejected. 1 H0 is not rejected. 0 H0 is not rejected. 4 H0 is not rejected. 4 H0 is not rejected. 2 H0 is not rejected. 1 H0 is not rejected. 0 43 Humanities 2005 H0: there is no positive association No. of projekts 34 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) is not rejected. 7 H0 is not Hrejected. 0 1 H0 is not rejected.

5 H0 is not rejected. 4 H0 is not rejected. 4 H0 is not rejected. 3 H0 is not rejected. 1 H0 is not rejected. 1 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 2 H0 is not rejected. 0 34 Interdisciplinary studies H0: there is no positive association No. of projekts 10 Fisher's Kullback exact test2Î(α=0,05) test (α=0,05) is not rejected. 10 H0 is not Hrejected. 0 0 10

08, http://www.arrs.gov.si/sl/progproj/rproj/akti/metod-tapl-mr-130707.asp .

(47%) null hypothesis can not be rejected. In 53 subfields (76%) with 160 (45%) project applications no significant statistical estimation can be made b

S1= 41.11 Critical value χ2 (α=0,05;df=1) = 3.84 S2= 36.55 2Î=S1-S2= 4.56 Correction for one null frequency in c.t.: 2Î= 3.56
statistical estimation can be made because of to small population or not enough or to many selected.