Journal of Population Sciences
Intercept-only model | Random-intercept models | Random-intercept models with cross-level interactions | |||||||||||||
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Response: Depressive symptoms | Model 1: Full sample | Model 2: Full sample | Model 3: Grandfathers | Model 4: Grandmothers | Model 5: Full sample | Model 6: Grandfathers | Model 7: Grandmothers | ||||||||
Parameter | Estimate | Std. Err | Estimate | Std. Err | Estimate | Std. Err | Estimate | Std. Err | Estimate | Std. Err | Estimate | Std. Err | Estimate | Std. Err | |
Fixed part | |||||||||||||||
β0 | Intercept | 2.61*** | 0.16 | 1.54 | 2.16 | 1.04 | 1.70 | 2.69** | 2.54 | 2.49 | 2.18 | 1.48* | 1.75 | 3.75*** | 2.57 |
β1 | Previous or less intensive carers (ref: non-carers) | – | – | − 0.07** | 0.03 | − 0.08* | 0.04 | − 0.06 | 0.04 | − 2.59*** | 0.63 | − 1.09** | 0.05 | − 2.76*** | 0.85 |
β2 | New or more intensive carers (ref: non-carers) | – | – | − 0.03 | 0.03 | − 0.04 | 0.05 | − 0.03 | 0.04 | − 1.34* | 0.76 | − 0.98*** | 0.44 | − 1.42*** | 1.01 |
β3 | Repeated carers (ref: non-carers) | – | – | − 0.11 | 0.03 | − 0.12** | 0.04 | − 0.10* | 0.04 | − 0.74 | 0.67 | − 0.69*** | 0.42 | − 1.46*** | 0.87 |
β4 | Age (centred at 60) | – | – | − 0.02*** | 0.00 | − 0.03*** | 0.01 | − 0.02*** | 0.01 | − 0.02** | 0.01 | − 0.03*** | 0.01 | − 0.02*** | 0.01 |
β5 | Age squared | 0.001*** | 0.00 | 0.001*** | 0.00 | 0.001* | 0.00 | 0.001*** | 0.01 | 0.001*** | 0.00 | 0.001*** | 0.00 | ||
β6 | Gender (ref: male) | – | – | 0.69*** | 0.03 | – | – | – | – | 0.69*** | 0.03 | – | – | – | – |
β7 | Marital status (ref: not married) | – | – | − 0.21*** | 0.03 | − 0.30*** | 0.04 | − 0.18*** | 0.03 | − 0.21*** | 0.03 | − 0.32*** | 0.04 | − 0.18*** | 0.03 |
β8 | Education attainment: Upper secondary (ref: less than lower secondary) | – | – | − 0.19*** | 0.03 | − 0.12** | 0.04 | − 0.23** | 0.04 | − 0.19*** | 0.03 | − 0.12** | 0.01 | − 0.23*** | 0.04 |
β9 | Education attainment: Tertiary (ref: less than lower secondary) | – | – | − 0.20*** | 0.04 | − 0.14** | 0.05 | − 0.25** | 0.05 | − 0.20*** | 0.04 | − 0.14** | 0.01 | − 0.25*** | 0.05 |
β10 | Currently working (ref: not working) | – | – | − 0.07* | 0.03 | − 0.04 | 0.05 | − 0.10 | 0.04 | − 0.07* | 0.03 | − 0.07 | 0.05 | − 0.10* | 0.04 |
β11 | Number of grandchildren | – | – | 0.01** | 0.00 | 0.02** | 0.01 | 0.01 | 0.01 | 0.01* | 0.00 | 0.02*** | 0.01 | 0.01 | 0.01 |
β12 | Co-residing with children (ref: no) | – | – | 0.01 | 0.03 | 0.06 | 0.05 | − 0.01 | 0.04 | 0.01 | 0.03 | 0.03 | 0.05 | − 0.02 | 0.04 |
β13 | Self-rated health | – | – | 0.70*** | 0.01 | 0.62*** | 0.02 | 0.75*** | 0.02 | 0.70*** | 0.01 | 0.63*** | 0.02 | 0.75*** | 0.02 |
β14 | ADL functional status | – | – | 0.26*** | 0.02 | 0.28*** | 0.03 | 0.24*** | 0.02 | 0.26*** | 0.02 | 0.29*** | 0.03 | 0.24*** | 0.02 |
β15 | IADL functional status | – | – | 0.18*** | 0.02 | 0.17*** | 0.03 | 0.18*** | 0.02 | 0.17*** | 0.02 | 0.16*** | 0.03 | 0.18*** | 0.02 |
β16 | Household income | – | – | − 0.06** | 0.02 | − 0.10*** | 0.03 | − 0.09*** | 0.03 | − 0.06** | 0.02 | − 0.10*** | 0.03 | − 0.09** | 0.03 |
β17 | GDP | – | – | − 0.14* | 0.08 | − 0.70** | 0.28 | − 0.20* | 0.11 | − 0.23* | 0.10 | − 0.15* | 0.08 | − 0.30** | 0.24 |
β18 | GDP X Previous or less intensive carers | – | – | – | – | – | – | – | – | 0.24*** | 0.03 | 0.13** | 0.05 | 0.26*** | 0.04 |
β19 | GDP X New or more intensive carers | – | – | – | – | – | – | – | – | 0.11** | 0.04 | 0.12* | 0.06 | 0.14* | 0.05 |
β20 | GDP X Repeated carers | – | – | – | – | – | – | – | – | 0.12* | 0.04 | 0.08 | 0.05 | 0.13* | 0.05 |
Random part | |||||||||||||||
\({\sigma }_{\mathrm{v}0}^{2}\) | Country variance | 0.37 | 0.14 | 0.10 | 0.04 | 0.06 | 0.03 | 0.13 | 0.05 | 0.10 | 0.04 | 0.06 | 0.03 | 0.13 | 0.06 |
\({\sigma }_{\upmu }^{2}\) | Individual variance | 2.46 | 0.03 | 1.56 | 0.03 | 1.27 | 0.05 | 1.74 | 0.05 | 1.56 | 0.03 | 1.26 | 0.05 | 1.74 | 0.04 |
\({\sigma }_{e}^{2}\) | Residual variance | 2.56 | 0.02 | 2.25 | 0.03 | 1.97 | 0.04 | 2.44 | 0.04 | 2.25 | 0.03 | 1.97 | 0.04 | 2.44 | 0.03 |
Intraclass Coefficient (ICC) | |||||||||||||||
Country | 6.9% | 2.4% | 1.8% | 3.1% 43.5% | 2.5% | 1.8% | 3.1% | ||||||||
Individual | 52.5% | 42.5% | 40.2% | 42.4% | 40.1% | 43.4% | |||||||||
AIC | 282,393 | 165,796 | 59,410 | 106,067 | 165,799 | 59,419 | 106,074 | ||||||||
BIC | 282,430 | 165,968 | 59,555 | 106,221 | 165,997 | 59,587 | 106,253 | ||||||||
Number of countries | 13 | 13 | 13 | 13 | 13 | 13 | 13 | ||||||||
Number of respondents | 24,656 | 24,656 | 9,524 | 15,132 | 24,656 | 9,524 | 15,132 | ||||||||
Number of observations | 66,504 | 66,504 | 25,102 | 41,402 | 66,504 | 25,102 | 41,402 |