3.1. Radon Distribution at Ground Floor
The distribution of radon levels at GF is described in
Table 2. They are ranged on a wide interval of values from 45 Bq/m
3 to 1072 Bq/m
3. The AM, equal to 218 Bq/m
3, is far above the median, 121 Bq/m
3, with a SD of 216 Bq/m
3.
The wide range of radon values strongly depends on the construction characteristics of the buildings, as it can be observed in
Table 3. In fact, the GFs of buildings constructed before 1960 (F1L1) show radon levels distributed from 98 Bq/m
3 to 1072 Bq/m
3 with an AM of 389 Bq/m
3, a median of 380 Bq/m
3, and a SD of 273 Bq/m
3. On the contrary, the GFs of buildings constructed after 1960 (F1L2) report radon values distributed on a smaller range from 45 Bq/m
3 to 438 Bq/m
3 with lower AM, median, and SD, respectively corresponding to 120 Bq/m
3, 99 Bq/m
3, and 72 Bq/m
3.
The difference in the distribution of radon levels between pre-1960 (F1L1) and post-1960 (F1L2) is extremely significant with
p < 0.001. In
Table 4, all statistical testing results are shown.
A similar trend is also found if the dataset is observed in terms of materials of construction because all buildings constructed with walls of only SCR (F2L1) are pre-1960 (19 out of 23 pre-1960 buildings have only SCR blocks). Therefore, the distributions of radon levels of buildings constructed pre-1960 or post-1960 reflect the distributions of radon levels in buildings constructed with only SCR (F2L1) or mixed typology (F2L2 and F2L3), respectively. It is noteworthy that higher AM or median values are found in the case of only SCR (F2L1) compared to mixed typology with concrete and SCR (F2L2) or concrete without SCR (F2L3) with high statistical significance (
p = 0.001 or
p < 0.001, respectively, in
Table 4). See also
Figure 1a for an immediate comparison between levels. Moreover, the CV value, as measure of the spatial variability at GF, sharply decreases, from about 60% for F2L1 and F2L2 to about 20% for F2L3 which does not contain SCR. The case of mixed typology with iron and SCR (F2L4) shows a radon level of 79 Bq/m
3, which is intermediate between the case of only SCR (F2L1) and the other cases of mixed typology. However, it is a single case.
If radon values at GF are observed as a function of the factor F3, the type of foundation (see also
Figure 1b), buildings with slab foundation (F3L3) show the lowest radon levels in terms of AM, median, and SD if compared to crawl space/technical void (F3L2) and direct attack (F3L1) with statistical significance (
p = 0.042 and
p = 0.003, respectively; see
Table 4). The difference between crawl space/technical void and direct attack is not statistically significant (
p = 0.164, see
Table 4).
The last factor examined is the typology of construction (F4): radon levels at GF are compared based on the presence of below ground floor (BGF in the following). The two distributions of values show similar AM but with a higher median where there is no BGF (F4L2). Ranges of values are wide in both cases, but SD and CV are higher in buildings with BGF (F4L1). The presence of the BGF seems to work as an insulation from the subsoil and affects the spatial variability, increasing the spread of radon levels around AM. Conversely, the absence of BGF lead to higher but less dispersed radon values. However, statistical testing does not give significance, as reported in
Table 4.
In order to evaluate how specific combinations of factors could affect the radon levels, the factor “materials of construction” (F2) has been analyzed in combination with the factor “type of foundation” (F3). The descriptive statistics and the statistical comparisons are reported in
Table 5 and
Table 6, respectively, where the Games–Howell test has been applied because the Kruskal–Wallis test and the Levene test of Homogeneity of Variance have been found to be statistically significant with
p < 0.001.
In
Table 5, radon levels at GF are subdivided according to materials of construction (F2) and type of foundation (F3). Regarding materials of construction, the levels considered are SCR (F2L1), mixed typology with concrete and SCR (F2L2), mixed typology with concrete and no SCR (F2L3), while about the type of foundation the levels considered are direct attack (F3L1), crawl space/technical void (F3L2), and slab foundation (F3L3). F2L4—mixed typology with iron and SCR as single case is excluded.
The combination of walls with only SCR (F2L1) and direct attack (F3L1) shows higher radon levels with statistical significance if compared to:
walls of mixed typology with concrete and SCR (F2L2) combined to direct attack (F3L1)—p = 0.046
walls of mixed typology with concrete and SCR (F2L2) combined to slab foundation (F3L3)—p = 0.016;
walls of mixed typology with concrete and no SCR (F2L3) combined to crawl space/technical void (F3L2)—p = 0.014
walls of mixed typology with concrete and no SCR (F2L3) combined to slab foundation (F3L3)—p = 0.008.
Other combinations do not show statistical significance. However, it is worth noting that the highest radon levels in terms of AM and median are shown by the combination of walls with only SCR (F2L1) and crawl space (in the specific case of walls with only SCR, there is no combination with technical void) (F3L2).
In order to further investigate the effect of crawl space combined to walls of only SCR on radon levels, the bivariate logistic regression has been applied. For this test, the combination between the factor levels SCR (F2L1) and direct attack (F3L1) or mixed typology of construction materials (F2L2 and F2L3) and any type of foundation (F3L1 or F3L2 or F3L3) has been chosen as the reference interaction. To apply the bivariate logistic regression, radon level at GF has been treated as dichotomous variable by assigning value 0 if it is below 300 Bq/m
3 or value 1 if it is above 300 Bq/m
3 (dependent variable). In this way, the test helps to understand which, among the analyzed factors (independent variables), lead to radon levels above the European Union and Italian reference levels for radon in workplaces [
28,
29]. Results are shown in
Table 7.
According to the model presented in Equation (2), a positive B value of 2.57 confirms that the combination of walls with only SCR (F2L1) with crawl space (F3L2) increases the likelihood of having radon levels exceeding 300 Bq/m3 with high statistical significance (p = 0.005). In particular, the likelihood of having such radon levels raises by about 13 times if compared to any other combination (the reference). This model explains 20% of variations in radon levels according to Nagelkerke R2: it is worth noting that all pseudo-R2, as Nagelkerke R2, produce low R2 values compared to those associated with good fits in least squares regression. Therefore, the combined presence of SCR, as unique building material, with crawl space seems to make buildings more radon-prone than other combinations.
3.2. Radon Distribution at First Floor
The distribution of radon levels at first floor (FF) are described in
Table 8.
The values range between 65 Bq/m
3 and 688 Bq/m
3, with AM of 179 Bq/m
3, median of 103 Bq/m
3, and SD of 173 Bq/m
3. These values are lower than ones at GF discussed previously (see
Table 2), however, it is worth noting that the two groups are not homogeneous since not all 63 buildings with GFs have also FFs. The subdivisions of radon levels for factors and levels and the statistical comparison are shown in
Table 9 with
Figure 2 and
Table 10, respectively. The behavior of radon levels respect to the factors F2 and F3 at FF is similar to the one at GF. The radon levels, in terms of AM and median, at FF are higher for F2L1 (walls of only SCR) than for F2L3 (concrete and no SCR) with statistical significance (
p = 0.020). The spatial variability between FFs, expressed as CV, is higher in presence of SCR if compared to absence of SCR (CV = 67% in the first case, CV = 22% in the second case). On the contrary, the differences between the distributions of radon levels for factor F3 are not statistically significant.
Table 11 shows the descriptive statistics of radon levels at FF for combinations of materials of construction (F2) and type of foundation (F3) as identified in the sample. In particular, for materials of construction (F2), the levels are SCR (F2L1), mixed typology with concrete and SCR (F2L2), and mixed typology with concrete and no SCR (F2L3), while for type of foundation (F3), the levels are direct attack (F3L1), crawl space/technical void (F3L2), and slab foundation (F3L3).
According to the statistical comparisons (not reported in the present paper), there is not a specific combination with statistically significant differences in the distribution of radon levels. However, it is worth noting that the statistical significances could be affected by the reduced number of radon data at FFs (36) and by the further numerical subdivision in factors and levels.