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Fig 1.

An ellipse rotated with an angle θ in clockwise direction.

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Fig 1 Expand

Fig 2.

One synthetic experiment of SDC and SDE constructed upon 500 sampling points from a bivariate normal distribution.

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Fig 2 Expand

Fig 3.

The confidence intervals correspond to 3-sigma rule of the normal distribution.

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Fig 3 Expand

Fig 4.

The confidence regions corresponds to 1–3 multiples of SDEs.

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Fig 4 Expand

Table 1.

Confidence levels of scaled SDHE vary with different magnification factors in spaces with the dimensionality not exceeding 10.

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Table 1 Expand

Table 2.

Magnification ratios of scaled SDHE corresponding to different specified confidence levels with space dimensionality not exceeding 10.

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Table 2 Expand

Fig 5.

Visualization of 1–3 multiple SDEs for 2D scattered points.

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Fig 5 Expand

Fig 6.

Visualization of 1–3 multiple SDEs for 3D scattered points.

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Fig 6 Expand

Fig 7.

Exploratory analysis by 1–3 multiple SDEs for Hong Kong’s H1N1.

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Fig 7 Expand

Fig 8.

Exploratory analysis by 1–3 multiple SDHEs for Hong Kong’s H1N1.

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Fig 8 Expand