Results
The value of a helping hand is estimated through five estimators, of which two are considered supportive for the choice of estimator, while three are regarded as valuable for interpretation. The coefficients with standard errors and the estimators’ specifications of all five estimators are listed in
Table 7.
Table 7 shows, in the second and third columns, the output of the FE and RE, which show differences in sign and significance, yet are primarily reported to support the Breusch and Pagan Lagrange test, the Hausman specification test, and the Mundlak specification test. Based on the FE and RE, the three tests suggest the RE being the most efficient, given that a Mundlak correction is implemented. The latter, i.e. CRE, is reported in column four and relies on a Generalised Least Squares estimation method which provides robust standard errors. It integrates longitudinal weights on top of the Mundlak means, which appear most relevant as supported by the zero p-value of the Mundlak specification test. The primary disadvantage of the CRE is that it is unable to take the order of the dependent variable, i.e. self-perceived health, into account. Nevertheless, it explains a considerable amount of variation (R-Squared 0.447). Moreover, it reports a non-zero panel-level deviation (0.439), which supports the use of a panel instead of a pooled estimator, as well as a non-zero variance due to random individual differences, i.e. the random effects (0.319, not documented in a table). Moreover, the CRE confirms the theory of Yair Mundlak as its time-variant coefficients are the same as those of the FE, yet estimated with the more efficient random effects method. For convenience, the effects are interpreted per variable as specified in
Table 7. The odds ratio of the REO is referred to between brackets unless specified otherwise.
First, the results for the time-invariant variables Gender and Country, inestimable for the FEO, are highlighted. As such, older women appear to report a better health status (coefficient -0.018, SE 0.007, p<.05) on average across years, yet the REO marks this effect as insignificant (1.005, SE 0.040, p>.05), implying that there is no notifiable difference, on average across years, in the health reporting of men and women. For the variable Country, merely the ORs of the more accurate REO are interpreted as they express the same as the coefficients of the CRE. As such, Danish older people consistently mark a better health status (0.734, SE 0.056, p<.001) than the Swedish, while the odds to report a less healthy status than the Swedish are two to three times higher for older Spanish (3.249, SE 0.258, p<.001), Italian (2.262, 0.171, p<.001), and Slovenian citizens (2.198, 0.194, p<.001). The remaining countries report a more average health status, ranging incrementally from Austria (1.179, SE 0.077, p<.05), over Switzerland, Czech Republic and France, to Germany (1.863, SE 0.137, p<.001). In contrast to the findings from
Figure 2, the Low Countries, i.e. Belgium and the Netherlands, report non-significant coefficients, implying that they do not differ from Sweden.
Second, the time-variant variables are interpreted. For four continuous variables, nonlinearity is tested through their squares. For age and its square, the CRE and FEO contrast in significance, while the REO marks the main effect insignificant (0.955, SE 0.044, p>.05) and the nonlinear negative effect on health as significant (1.001, SE 0.000, p<.01). None of the latter three estimators finds nor the years of education nor its squares significantly impacting the health status. However, they dominantly mark the total household income (0.897, SE 0.032, p<.01) and its square (1.034, SE 0.017, p<.05), as well as the life satisfaction level (0.807, SE 0.04, p<.001) as positive influencers of health. For the remaining seven categorical variables, two appear to be mainly not significant, i.e. the impact of COVID-19, and four out of five categories of the variable Job situation. For the latter, only being permanently sick or disabled increases the odds of reporting a lower health status (1.851, SE 0.306, p<.001) compared to the baseline, i.e. the older people who are employed. Additionally, four categorical variables are consistently significant. Households with a couple of which both are responding (1.205, 0.087, p<.01), as well as with multiple members of which at least one is responding (1.221, 0.120, p<.05), considerably increase the odds of reporting a less favourable health status compared to older people who live alone. Being limited in activities due to health problems drastically increases the expectation of reporting worse health (3.904, 0.131, p<.001), while participating in at least one activity decreases this expectation compared to the baseline of no participation (0.812, SE 0.037, p<.001). Regarding the two variables of interest, all three estimators consider that receiving help significantly impacts the health status. In particular, the REO reveals that receiving help from at least one other person implies a 24.8 per cent increase in the odds of reporting worse health (1.248, SE 0.056, p<.001). For the act of giving help, the interpretation of significance levels of the CRE, FEO and REO is twofold. Or, the main effects are considered significant as suggested by the CRE (coefficient -0.025, SE 0.008, p<.01) and FEO (0.903, SE 0.043, p<.05), and the interactions with Receiving help are considered not significant. Or, the interaction effect of giving help and receiving help (0.863, SE 0.064, p<.05), and not the main effect of giving help, is regarded as relevant for health status. For two reasons, the latter is assumed to be most rational. First, the CRE neglects the order of the dependent variable; second, the FEO is expected to be less efficient than the REO. As such, the value of a helping hand is confirmed by the fact that, on average across years, older people who receive help from at least one other person are 24.8 per cent more likely to report worse health. Yet, when they, on top, also give help, the odds are lower, i.e. merely 7.7 per cent higher, to report worse health. As such, this decrease of 17.1 percentage points reflects the positive value of a helping hand and suggests an improvement in health status thanks to the act of giving help.
To support the results of the regression analysis, a robustness check is documented (see Materials and Code availability). As such, to account for the SHARE imputation procedure, the CRE, FEO, and REO referred to in
Table 7 are also estimated with the remaining four imputed datasets. The CRE reports for the 13 significant coefficients, the same significance level and sign for all five imputed datasets. On top, three estimated coefficients are numerically the same for these five regressions, while the remaining coefficients deviate on average by 0.004 and maximally by 0.011. For the FEO, the same significant eight estimated odds ratios appear with the same sign, yet with three times another significance level for two estimated odds ratios. The difference between the estimated FEO odds ratios is minimally 0.004 and maximally 0.091. For the REO, 18 estimated odds ratios maintain the same sign; however, six differ in significance level, of which three even altered into non-significant odds ratios across the five imputed datasets, namely “Total household income” as well as its square, and “Household: Multiple, at least 1 responding”. Besides the latter, the squared age is consistently identical, while the largest variation in the REO odds ratios is 0.106 and detected in the job situation category “Permanently sick or disabled”. Overall, these findings illustrate that the robustness of the regression output is primarily related to the complexity of the estimator, not the imputation procedure. To conclude, the findings documented in
Table 7 based on the first imputed dataset are regarded as robust, except for the household type and total household income as well as its squares.
Besides the interpretation of the coefficients, the estimators CRE, FEO, and REO are used to predict margins and marginal effects. However, all three underperform in estimating predictions due to the Giving help variable. For the latter, its limited number of observations in certain time segments is expected to cause the underperformance. As such, solely the best performing, i.e. the CRE, is used to generate plots of and predictions for the average older European citizen. First, three plots with margins are documented for the effect of Receiving as well as Giving help on, respectively, age, income, and life satisfaction.
Figure 3 reports the predictions for the self-perceived health status of older people according to four combinations of receiving and giving help.
Figure 3 CRE Margins of responses of the self-perceived health score according to age, visualised in steps of five years from 60 to 90 years. Four combinations of receiving and giving help are plotted, each from or to no other, and from or to at least one other. The legend specifies Receiving help and subsequently Giving help.
Figure 4 CRE Margins of responses of the self-perceived health score according to income (standardised), visualised in steps of 9,737.517 euro (0.4) from zero (-1.1) to 87,637.651 euro (2.5). Four combinations of receiving and giving help are plotted, each from or to no other, and from or to at least one other. The legend specifies Receiving help and subsequently Giving help.
Figure 5 CRE Margins of responses of the self-perceived health score according to the level of life satisfaction, visualised in steps of one from zero to ten. Four combinations of receiving and giving help are plotted, each from or to no other, and from or to at least one other. The legend specifies Receiving help and subsequently Giving help.
Table 8 illustrates that the predictive margins are consistently lower, i.e. reflecting better health status, for those who give help. The predictions are the same across imputed datasets, except for a varying third digit after the decimal point of two coefficients. As expected, receiving help is predicted to relate to a worse health status, i.e. a higher score.