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The Global Innovation Index 2012

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78<br />

THE GLOBAL INNOVATION INDEX <strong>2012</strong> 1: Statistical Tests on the GII<br />

Figure 3a: Sensitivity analysis: Impact of modelling choices<br />

(Imputation)<br />

Figure 3b: Sensitivity analysis: Impact of modelling choices<br />

(Geometric average)<br />

<strong>Global</strong> <strong>Innovation</strong> <strong>Index</strong> <strong>2012</strong> <strong>Global</strong> <strong>Innovation</strong> <strong>Index</strong> <strong>2012</strong><br />

Rank based on imputation<br />

Rank based on geometric average<br />

141 131 121 111 101 91 81 71 61 51 41 31 21 11 1<br />

141 131 121 111 101 91 81 71 61 51 41 31 21 11 1<br />

rs = 0.989<br />

1<br />

11<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

101<br />

111<br />

121<br />

131<br />

141<br />

rs = 0.993<br />

<strong>Innovation</strong> Input Sub-<strong>Index</strong> <strong>2012</strong> <strong>Innovation</strong> Input Sub-<strong>Index</strong> <strong>2012</strong><br />

Rank based on imputation<br />

141 131 121 111 101 91 81 71 61 51 41 31 21 11 1<br />

Rank based on imputation<br />

141 131 121 111 101 91 81 71 61 51 41 31 21 11 1<br />

Source: Saisana and Philippas, European Commission Joint Research Centre, <strong>2012</strong>.<br />

Note: Rs = Spearman rank correlation; imputation based on expectation-maximization algorithm.<br />

1<br />

11<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

101<br />

111<br />

121<br />

131<br />

rs = 0.993<br />

141<br />

rs = 0.998<br />

1<br />

11<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

101<br />

111<br />

121<br />

GII rank<br />

GII rank<br />

GII rank<br />

Rank based on geometric average<br />

141 131 121 111 101 91 81 71 61 51 41 31 21 11 1<br />

<strong>Innovation</strong> Output Sub-<strong>Index</strong> <strong>2012</strong> <strong>Innovation</strong> Output Sub-<strong>Index</strong> <strong>2012</strong><br />

Rank based on geometric average<br />

141 131 121 111 101 91 81 71 61 51 41 31 21 11 1<br />

131<br />

rs = 0.962<br />

141<br />

rs = 0.993<br />

1<br />

11<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

101<br />

111<br />

121<br />

131<br />

141<br />

1<br />

11<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

101<br />

111<br />

121<br />

131<br />

141<br />

1<br />

11<br />

21<br />

31<br />

41<br />

51<br />

61<br />

71<br />

81<br />

91<br />

101<br />

111<br />

121<br />

131<br />

141<br />

GII rank<br />

GII rank<br />

GII rank

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