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Table 1.

Government public service supply efficiency evaluation index system.

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Table 2.

Internet development level evaluation index system.

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Table 2 Expand

Table 3.

Results of descriptive statistics of variables.

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Table 3 Expand

Table 4.

Unit root test results for each variable.

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Table 4 Expand

Table 5.

Panel data cointegration test.

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Table 6.

Results of the threshold effect test.

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Table 7.

Threshold estimates and confidence intervals.

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Table 7 Expand

Fig 1.

The likelihood ratio function diagram of the first threshold value.

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Fig 1 Expand

Fig 2.

The likelihood ratio function diagram of the second threshold value.

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Table 8.

Estimation results of the parameters of the double threshold model.

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Table 8 Expand

Table 9.

Regional distribution pattern of the level of marketization of provincial administrative units in 2011 and 2019.

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Table 9 Expand