Of eight events examined, four didn’t have enough data for the multigroup procedure, which produced statistically significant results for three of the other four events. Of 24 region–event pairs, seven displayed seasonal reporting patterns for the single-group procedure (ten not performed due to limited data). The detailed findings are now presented.
Hypothermia
Separately by region, the data for Japan, Scandinavia, and the US were pooled into twelve monthly totals that are shown in Table 1.
Table 1 FAERS data (1997–2011) monthly totals for events possibly triggered by seasonal factors or for which previous literature experience suggests seasonality, by region
First we applied the multigroup procedure [10] to simultaneously test for seasonality in all three regions. For each region, the null hypothesis was that of uniformity, and the alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in winter and trough in summer. The result was statistically significant (p = 0.000028). As is evident from Fig. 4, the three regions appear to follow different patterns. Further analyses were, therefore, conducted separately by region, following the method developed by Marrero [7], and using the same hypotheses.
The data from Japan produced a statistically significant result (p = 0.0000011). However, the data from Scandinavia were not statistically significant (p = 0.6492), and neither were the data from the US (p = 0.2907). This agrees with what is shown in Fig. 4, where we see that the descriptive annual sinusoidal models for Scandinavia and the US are nearly flat, yet there is some oscillation in the US model, but not enough to be significant, and, moreover, the model does not fit the data well. For Japan, however, an annual sinusoidal model fits the data well.
Raynaud’s Phenomenon
Separately by region, the data from Japan, Scandinavia, and the US were pooled into twelve monthly totals that are shown in Table 1.
We applied the multigroup procedure [10] to simultaneously test for seasonality in all three regions. For each region, the null hypothesis was that of uniformity. The alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in winter and trough in summer. The result was not statistically significant (p = 0.0921).
The Japan data contributed the most (55 %) to the multigroup test-statistic value, and the contributions from the other regions were about equal. For that reason, we decided to test the Japan data alone for annual seasonality; the result was close to being significant (p = 0.0505). In Fig. 5, we note that the data from the US show variability about the sinusoidal model, especially earlier in the year, and the Scandinavia data are essentially flat, which helps to explain the nonsignificance for these two regions. For Japan, the data appear reasonably faithful to the sinusoidal model, and that agrees with the low p value. Probably one the most often cited limitations of data from a spontaneous reporting system (SRS), underreporting may also contribute to the nonsignificance.
Photosensitivity Reaction
Separately by region, the data from Japan, Scandinavia, and the US were pooled into twelve monthly totals that are shown in Table 1.
First we applied the multigroup procedure [10] to simultaneously test for seasonality in all three regions. For each region, the null hypothesis was that of uniformity. The alternative hypothesis for Japan and Scandinavia was that the data follow an annual sinusoidal pattern with peak in summer and trough in winter, and for the US that the data follow a semiannual sinusoidal pattern with peaks in winter and summer, and troughs in the other seasons. The result was statistically significant (p = 0.000000007). As is evident from Fig. 6, the three regions appear to follow different patterns. Further analyses were, therefore, conducted separately by region, following the method developed by Marrero [7], and using the same hypotheses.
The data from Japan produced a statistically significant result (p = 0.0003), and so did the data from the US (p = 0.00000058). However, the data from Scandinavia were not statistically significant (p = 0.1372). This agrees with what is shown in Fig. 6, where we note the following. For Japan, an annual sinusoidal model fits the data well. For the US, a semiannual sinusoidal model is adequate, but some data points do not conform well to the model. The data for Scandinavia are nearly constant.
Heat Exhaustion
We only considered the data for the US because there were too few observations for the other two regions: five observations for Japan and one observation for Scandinavia. The data for the US were pooled into twelve monthly totals that are shown in Table 1.
We applied the single-group procedure [7] to test the US data for seasonality. The null hypothesis was that of uniformity. The alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in summer and trough in winter. The result was statistically significant (p = 0.0000194). This agrees with what is shown in Fig. 7, where we see that the descriptive annual sinusoidal model for the US shows annual sinusoidal variation, with a peak in mid August and trough in mid February; the model fits the data well.
Heat Stroke
We only considered the data for the US because there were too few observations for the other two regions: nine observations for Japan and one observation for Scandinavia. The data for the US were pooled into twelve monthly totals that are shown in Table 1.
We applied the single-group procedure [7] to test the US data for seasonality. The null hypothesis was that of uniformity. The alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in summer and trough in winter. The result was statistically significant (p = 0.000000033). This agrees with what is shown in Fig. 8, where we see that the descriptive annual sinusoidal model for the US shows annual sinusoidal variation, with a peak in mid August and trough in mid February; the model fits the data well.
Sunburn
We only considered the data for the US because there were too few observations for the other two regions: two observations for Japan and three observations for Scandinavia. The data for the US were pooled into twelve monthly totals that are shown in Table 1.
We applied the single-group procedure [7] to test the US data for seasonality. The null hypothesis was that of uniformity. The alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in summer and trough in winter. The result was statistically significant (p = 0.000000033). It is clear from Fig. 9 that an annual sinusoidal model does not fit the data well. From January to July, the data appear to follow an annual sinusoidal pattern with low points in January through May, and then increases as the weather gets warmer in June and July. However, the data from August through December are best described by a U-shaped model that has maxima in August and December, and a nadir in October.
Anencephaly
We only considered the data for the US because there were too few observations for the other two regions: six observations for Japan and seven observations for Scandinavia. The data for the US were pooled into twelve monthly totals that are shown in Table 1.
We applied the single-group procedure [7] to test the US data for seasonality. The null hypothesis was that of uniformity. The alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in winter and trough in summer. The result was not statistically significant (p = 0.2952). In Fig. 10 we see that both the data and the corresponding descriptive model are essentially flat.
Interstitial Lung Disease
Separately by region, the data for Japan, Scandinavia, and the US were pooled into twelve monthly totals that are shown in Table 1.
First we applied the multigroup procedure [10] to simultaneously test for seasonality in all three regions. For each region, the null hypothesis was that of uniformity, and the alternative hypothesis was that the data follow an annual sinusoidal pattern with peak in winter and trough in summer. The result was statistically significant (p = 0.000269). As is evident from Fig. 11, the three regions appear to follow different patterns. Further analyses were, therefore, conducted separately by region, following the method developed by Marrero [7], and using the same hypotheses.
The data from the US produced a statistically significant result (p = 0.000024). However, the data from Japan were not statistically significant (p = 0.1197), and so were the data from Scandinavia (p = 0.9777).
The individual p values agree with what is shown in Fig. 11, where we see that the descriptive annual sinusoidal model for the US fits the data well, with maximum spontaneous reporting frequency in mid October and minimum spontaneous reporting frequency in mid April. The data from Japan generally appear to follow an annual sinusoidal model with higher data on average than that of the US, but there are three aberrant observations—January, June, and December—that do not conform well to the model; this lack of fit, of course, helps to increase the p value. The data from Scandinavia are essentially flat.
Our findings by region are summarized in Table 2.
Table 2 Results summary of the seasonality analysis