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Table 4 χ2 for angular variables for triplet clique compositions exhibiting specific geometry

From: Mapping the distribution of packing topologies within protein interiors shows predominant preference for specific packing motifs

Composition

Frequency

χ2(θ1t)

χ2(θ2t)

Χ2(θ3t)

χ2(φ1s)

χ2(φ2s)

χ2(φ3s)

PHE

ILE

LEU

276

48.5

11.2

35.8

15.3

14.5

5.8

PHE

LEU

VAL

246

60.0

20.6

5.2

14.0

8.5

6.8

PHE

LEU

LEU

237

72.1

25.5

13.5

13.9

20.8

3.8

TYR

ILE

LEU

151

39.0

2.9

7.3

20.5

16.0

10.0

PHE

ILE

VAL

150

37.7

9.3

16.7

19.4

4.9

19.5

TYR

PHE

LEU

117

44.6

6.2

2.8

18.5

5.7

10.6

TYR

LEU

LEU

104

46.7

15.2

8.6

6.4

5.3

16.4

TYR

LEU

VAL

98

35.5

8.7

9.5

7.4

3.1

6.6

PHE

VAL

VAL

88

21.6

24.9

5.1

14.1

4.2

4.5

TYR

PHE

VAL

77

20.3

3.0

4.0

9.0

10.2

2.0

TYR

ILE

VAL

69

23.4

2.5

3.8

4.5

2.0

4.7

TRP

LEU

LEU

47

29.5*

4.0*

5.1*

3.9

17.7

2.9

TRP

LEU

VAL

41

23.9*

5.3*

3.0*

6.3

6.3

3.9

  1. χ2 of tilt angles (θ1t, θ2t, θ3t) and swivel angles (φ1s, φ2s, φ3s) of residues constituting the clique (where 1, 2, 3 corresponds to the same sequence of residues given in the table e.g., PHE → 1, ILE → 2, LEU → 3 for the first entry) for compositions showing significant deviation in θ1t from a random distribution. χ2 0.05 for three-bin and six-bin models are 5.991 and 11.071, respectively. Compositions which have a predicted frequency of less than 5 for any particular angular bin, assuming a random distribution are marked with an asterisk (*). This minimal number (of data points) is 37 for a 3-bin and 74 for a 6-bin model for tilt (θt) angles and 30 for a 6-bin model for swivel (φs) angles.