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Table 3 Coverage rates and median interval widths for estimating spread of the vM-UARS distribution via nonparametric and parametric methods using various (κ,n) pairs

From: Quantifying spread in three-dimensional rotation data: comparison of nonparametric and parametric techniques

 

Nonparametric

Parametric

(κ,n)

Coverage rate

Median width (AMA)

Median width (κ)

Coverage rate

Median width (κ)

(1,10)

87.6

0.7838

2.421

94.8

2.274

(1,30)

93.9

0.5299

1.259

94.8

1.231

(1,100)

94.4

0.2993

0.669

95.5

0.665

(5,10)

85.3

0.2885

12.686

94.4

9.940

(5,30)

94.5

0.1987

5.452

94.9

4.979

(5,100)

95.7

0.1139

2.7565

95.3

2.599

(20,10)

87.4

0.1379

54.665

94.0

42.09

(20,30)

93.7

0.0939

22.913

95.5

21.36

(20,100)

94.1

0.0532

11.543

94.6

11.22

(500,10)

88.7

0.0278

1365.507

92.6

1075.0

(500,30)

94.0

0.0183

598.926

95.2

536.4

(500,100)

94.9

0.0104

299.603

94.2

283.3