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Table 7 Estimated coefficients of the spatial SEM, SAR, SDM, SAC models

From: Spatial differentiation and driving factors of the high-quality development of undertakings for the aged of China

Type of variables

Variables

OLS

SEM

SAR

SDM

SAC1

SAC2

Space lag term

Rho

  

0.148**

(0.072)

0.235 ***

(0.058)

0.746 ***

(0.086)

0.739 ***

(0.153)

Lambda

 

0.300 ***

(0.061)

  

-0.702 ***

(0.173)

-0.487

(0.567)

Economy factors

The GDP per capita

0.034 **

(0.016)

0.038 **

(0.012)

0.033 **

(0.014)

0.049 **

(0.021)

0.036 ***

(0.013)

0.034 **

(0.014)

The proportion of the tertiary industry

0.023 ***

(0.004)

0.023 ***

(0.005)

0.022 ***

(0.005)

0.020 ***

(0.006)

0.018 ***

(0.005)

0.022 ***

(0.006)

Population aging factors

The dependency ratio of the older adults

-0.003

(0.012)

0.001

(0.013)

0.002

(0.014)

-0.004

(0.012)

0.006

(0.010)

-0.002

(0.013)

The proportion of older adults

-0.074 ***

(0.014)

-0.091 ***

(0.012)

-0.078 ***

(0.013)

-0.098 ***

(0.011)

-0.081 ***

(0.009)

-0.079 ***

(0.012)

The digital technology factors

Ln(the fixed asset investment in digital industries)

0.040 *

(0.023)

0.037 **

(0.018)

0.035 *

(0.019)

0.027

(0.017)

0.028 *

(0.016)

0.036 *

(0.018)

Ln(the number of employees in digital industries)

-0.089

(0.047)

-0.039

(0.093)

0.086

(0.105)

-0.046

(0.103)

0.071

(0.075)

-0.046

(0.095)

R-square

0.309

0.375

0.292

0.201

0.462

0.3465

AIC

-246.339

-254.533

-247.704

-267.524

-267.159

-259.985

BIC

-222.680

-227.494

-220.664

-220.2055

-236.740

-229.566

Log-likelihood

130.169

135.267

131.852

147.762

142.579

138.993

  1. Note: *, ** and *** indicate significance at the level of 0.1, 0.05, 0.01, respectively. Rho, Spatial Autoregressive Parameters; Lambda, Residual lag parameter; Ln, natural logarithm; the SAC1 model is based on binary adjacency matrix, the SAC2 model is based on the geographical distance matrix. The value in parentheses represents the standard deviation