3.1. Basic statistics
As explained in the previous section, the sampling method was designed to gather a representative sample of the Japanese population in terms of gender, age, educational background, and residential area. Our survey included Japanese citizens between 16 and 79 years of age from all regions of Japan and covered all parts of Japan. The age range and demographic composition of the sample, shown in Fig. 1, were almost equivalent to those of the 2015 Japan Census. However, some gaps exist in the aged population between the census data and the survey data used in this study. The percentage of younger participants in the survey sample was lower. Particularly, the gap is large for the age group 16–20, reflecting that they are too young to be registered with INTAGE. The percentage of participants belonging to the age groups 66–70 and age group 71–75 in our sample is higher than that in the Census, whereas those belonging to the age group 76–79 in our sample is lower. On the one hand, retired older people have spare time enough to participate in the survey. On the other hand, older people were not young enough to participate in the questionnaire. Figure 2 demonstrates the composition of the population in 47 residential prefectures using our survey sample and census sample. Figure 2 shows a similar geographical population distribution. Overall, the sample used in the present study can be considered representative of public opinion in Japan.
In the first survey, a questionnaire was sent to 7,968 people who were registered with a research company, and its participation rate was 54.7%. Therefore, 4,359 observations were obtained. Subsequently, in every survey, the questionnaire was sent to respondents who participated in the first survey; thus, 4,359 people. Table 2 shows the number of observations and loss rates as some respondents did not respond. The loss rate is approximately 20% in each survey.
Table 2
Sample size (observations) and loss rates for each survey.
Waves
|
Obs.
|
Loss rate
%
|
1
|
4,359
|
0
|
2
|
3,495
|
19.8
|
3
|
4,013
|
7.9
|
4
|
3,996
|
8.3
|
5
|
3,877
|
11.1
|
6
|
3,626
|
16.8
|
7
|
3,491
|
19.9
|
8
|
3,509
|
19.5
|
9
|
3,529
|
19.0
|
10
|
3,440
|
21.1
|
11
|
3,304
|
24.2
|
12
|
3,280
|
24.8
|
13
|
3,392
|
22.2
|
14
|
3,349
|
23.2
|
15
|
3,347
|
23.2
|
Table 3 suggests that the mean values of staying indoors and not going out for work were 2.91 and 2.94, respectively. Meanwhile, the value of not participating in leisure activities outside home was 4.12. This means that people are more likely to go to work or school than to engage in leisure activities. This suggests that events or travel are considered less essential than work or school. Staying indoors consists of both essential and non-essential components. Overall, not going out to work is critical in determining the probability of staying indoors. Not going out for work is determined not by an individual’s will but by instruction from the workplace or school. Similar to refraining from leisure activities, the mean values of handwashing and wearing masks were slightly larger than 4. This is because handwashing and wearing masks is likely to depend on an individual’s willingness.
We also asked respondents whether they had taken the first shot of the vaccine against COVID-19 and whether they had completed the second vaccine shot. In Japan, vaccination began on February 202118. During this period, the first group eligible for the shot was strictly limited to health workers, before the inoculation program was expanded to include the general public. Vaccination for the older people aged 65 and over has been implemented since April 2021, and 75 of older people have been vaccinated as of July 202136. Additionally, the government has begun implementing COVID-19 vaccination programs at workplaces and campuses where workers and students can get vaccinations since June37.
Table 3
Definitions of key variables and their basic statistics.
Variables
|
Mean
|
s.d.
|
STAYING INDOORS
|
2.91
|
1.25
|
NOT GOING TO WORK
|
2.94
|
1.73
|
NOT FOR LEISURE
|
4.12
|
1.18
|
HANDWASHING
|
4.14
|
0.95
|
WEARING MASK
|
4.41
|
1.05
|
VACCINE FIRST
|
0.03
|
0.17
|
VACCINE SECOND
|
0.06
|
0.24
|
VACCINE SECOND_1
|
0.03
|
0.18
|
VACCINE SECOND_2
|
0.02
|
0.14
|
VACCINE SECOND_3
|
0.01
|
0.08
|
VACCINE SECOND_4
|
0.001
|
0.04
|
PROB_COVID19
|
20.4
|
22.3
|
SEVERITY COVID19
|
3.57
|
1.21
|
EMERGENCY
|
0.29
|
0.45
|
FEAR
|
3.06
|
1.14
|
ANXIETY
|
3.28
|
1.15
|
ANGER
|
2.98
|
1.10
|
AGE
|
48.7
|
17.3
|
MALE
|
0.50
|
0.50
|
UNIVERSITY
|
0.43
|
0.49
|
The 10th wave survey was conducted directly after February 2021. In the sample used in this study, respondents who received the shot appeared from the 12th wave conducted in May 2021. On the dummies for vaccination, the mean values of VACCINE SECOND_1, VACCINE SECOND_2, VACCINE SECOND_3, and VACCINE SECOND_4 are 0.03, 0.02, 0.01, and 0.001, respectively. Therefore, in the entire sample, people who received the second shot at the time of the survey accounted for 3%. The number of people who received the second shot last month, 2 months ago, and 3 months ago were 2%, 1%, and only 0.1%, respectively. The entire sample covered first-eleventh waves, where nobody received the shot, and so percentages were very low. The vaccine was distributed to healthcare workers first, followed by older people, and others. Therefore, the percentage declines with people who received the second shot earlier.
To check the change in vaccination rate, Table 4 shows the percentage of vaccinated people in each wave. Contrary to the vaccination dummy, Table 4 indicates the aggregated values containing both the first and second vaccinated people regardless of the vaccination time point. Therefore, the percentage of vaccinated individuals is expected to increase over time. Consistent with this inference, Table 4 indicates that the percentage of vaccinated people rapidly increased from 8.2% in May 2021 to 64.2% at the beginning of September in the sample. This rate is similar to that of 65.2% in September using country-wide data38. In the subsample of people over 40, the rate increased from 9.1% in May 2021 to 72.3%, almost twice as high as that in the subsample of younger people in each wave. Thus, the data in this study are representative of the actual situation in Japan.
Table 4
Percentage of those who took the COVID-19 vaccine
Waves
|
Dates
|
All
%
|
Age > 40
%
|
Age < = 40
%
|
1
|
March 13–16, 2020
|
0
|
0
|
0
|
2
|
March 27–30, 2020
|
0
|
0
|
0
|
3
|
Apr. 10–13, 2020
|
0
|
0
|
0
|
4
|
May 8–11, 2020
|
0
|
0
|
0
|
5
|
June 12–15, 2020
|
0
|
0
|
0
|
6
|
Oct 23–28, 2020
|
0
|
0
|
0
|
7
|
Dec 4–8, 2020
|
0
|
0
|
0
|
8
|
Jan. 15–19, 2021
|
0
|
0
|
0
|
9
|
Feb. 17–22, 2021
|
0
|
0
|
0
|
10
|
Mar. 24–29, 2021
|
0
|
0
|
0
|
11
|
Apr. 23–26, 2021
|
0
|
0
|
0
|
12
|
May 28–31, 2021
|
8.2
|
9.1
|
5.4
|
13
|
June 25–30, 2021
|
25.1
|
30.7
|
7.8
|
14
|
July 30–Aug 4, 2021
|
50.0
|
58.3
|
23.8.
|
15
|
Aug 27–Sep. 1, 2021
|
64.2
|
72.3
|
39.5
|
Note: We did not distinguish between respondents who took only the first shot and those who took the second shot. |
Figure 3 illustrates the change in five preventive behaviors from the first to the fifteenth waves by dividing the sample into vaccinated and unvaccinated groups. Figure 3 covers the periods before and after vaccination. Therefore, nobody was vaccinated from the first to the eleventh waves, and the left part of the vertical line is shown in Fig. 3. In this study, people vaccinated during any period were included in the vaccinated group. Furthermore, we did not distinguish people who received the second shot from those who only received the first. For instance, one who received their first shot in the fifteenth wave was included in the vaccinated group. Thus, Fig. 3 indicates how people who did not intend to be vaccinated behaved differently from vaccinated people from the period when the vaccine was not distributed.
Figure 3 (a) indicates that the vaccinated group was more likely to stay at home than the unvaccinated group throughout the study period. The trends of both groups were similar. At the first declaration of the state of emergency in all parts of Japan from the third to fourth waves, people immediately complied and stayed at home. After calling the first declaration, the level of staying at home declined to the level before the declaration. Later, the state of emergency was declared and consecutively called off four times. In response to this, the level of staying at home increased but did not peak during the first declaration. This level was more stable in 2021 than in 2020. However, we should note that the gap in the behavior increased, especially after the eighth wave, and after entering 2021. Similar tendencies were observed for Figs. 3 (b) and (c) for “not going out for work” and “not participating in leisure activities outside home.”
As shown in Figs. 3(d) and (e), in terms of changes in handwashing and wearing masks, similar to Figs. 3 (a)–(c), the vaccinated group showed consistently higher levels of adherence than the unvaccinated group. However, the gap in handwashing was larger than that in wearing masks. Mask-wearing behavior is motivated by self-regarding risk preferences and other-regarding concerns34,39−42. In other words, the effect of interpersonal interaction possibly reduces the gap in wearing masks.
Compared to Figs. 3(a)–(c), a remarkable difference exists in the trends shown in Figs. 3(d) and (e). The level of handwashing and wearing masks almost constantly rose, indicating that people became more inclined to wash hands and wear a mask even after declaration of a state of emergency. This is consistent with the fact that many people began habitually washing their hands in response to the 2009 influenza pandemic, and their habits have persisted over the years43.
Overall, we did not observe the effect of vaccination by comparing the time periods before and after the distribution of the COVID-19 vaccine (Fig. 3). Figure 3 presents a change in mean values; thus, various factors that influence preventive behaviors are not controlled. We then examined the fixed effects regression model to closely examine the effects of vaccination. Before scrutinizing the difference in effects between the first and second vaccinations, Table 5 shows the simple mean difference test before and after vaccination. We limited the sample to those who had been vaccinated during the study period. Further, we divided the sample into subsamples before the first vaccination and subsample after it. For a rough comparison, we did not distinguish between the first and second vaccinations. Table 3 shows that all types of preventive behaviors show larger values after vaccination than before vaccination. Further, these differences were statistically significant at the 1% level. We carefully considered the difference between before and after vaccination (DIF) for the following: STAYING INDOORS (DIF 0.14 [95% CI: 0.10–0.18]), NOT GOING TO WORK (DIF 0.19 [95% CI: 0.13–0.24]), NOT FOR LEISURE (DIF 0.10 [95% CI: 0.07–0.14]), HANDWASHING (DIF 0.16 [95% CI: 0.13–0.19]), and WEARING MASK (DIF 0.29 [95% CI: 0.26–0.32]). This implies that people are more likely to engage in preventive behaviors after than before vaccination.
Table 5
Mean difference test before and after vaccination using a sample of respondents who were vaccinated during the studied period.
Dates
|
Before
(1)
|
After
(2)
|
Difference
(2)–(1)
|
STAYING INDOORS
|
2.96
|
3.11
|
0.14***
(0.10–0.18)
|
NOT GOING TO WORK
|
3.03
|
3.22
|
0.19***
(0.13–0.24)
|
NOT FOR LEISURE
|
4.21
|
4.32
|
0.10***
(0.07–0.14)
|
HANDWASHING
|
4.19
|
4.36
|
0.16***
(0.13–0.19)
|
WEARING MASK
|
4.45
|
4.75
|
0.29***
(0.26–0.32)
|
Note: Numbers within parentheses are 95% CI. |
***p < 0.01 |
3.2. Full sample estimations
Table 6
FE model. Dependent variables are preventive behaviors.
|
(1)
STAYING INDOORS
|
(2)
NOT GOING TO WORK
|
(3)
NOT FOR LEISURE
|
(4)
HANDWASHING
|
(5)
WEARING MASK
|
VACCINE FIRST
|
0.057**
(0.007–0.106)
|
0.032
(− 0.016–0.080)
|
0.027
(− 0.014–0.069)
|
0.026*
(− 0.001–0.054)
|
−0.001
(− 0.047 − 0.045)
|
VACCINE SECOND_1
|
0.099***
(0.058–0.140)
|
0.070**
(0.007–0.132)
|
0.077***
(0.031–0.122)
|
0.006
(− 0.029–0.041)
|
−0.006
(− 0.046 − 0.034)
|
VACCINE SECOND_2
|
0.123***
(0.061–0.187)
|
0.123***
(0.042–0.204)
|
0.106***
(0.047–0.165)
|
−0.012
(− 0.051 − 0.027)
|
−0.0003
(− 0.048 − 0.047)
|
VACCINE SECOND_3
|
0.097 (− 0.023–0.217)
|
0.092
(− 0.020–0.206)
|
0.018
(− 0.097–0.133)
|
0.035
(− 0.023–0.095)
|
−0.027
(− 0.094 − 0.040)
|
VACCINE SECOND_4
|
0.014
(− 0.335–0.365)
|
−0.019
(− 0.167 − 0.128)
|
−0.106
(− 0.341 − 0.128)
|
−0.018
(− 0.142 − 0.105)
|
−0.040
(− 0.177 − 0.095)
|
PROBABILITY COVID19
|
−0.291
(− 1.064–0.480)
|
−0.532
(− 1.657 − 0.591)
|
0.103
(− 0.328–0.535)
|
0.428*
(− 0.079–0.936)
|
−0.472
(− 1.208–0.263)
|
SEVERITY COVID19
|
0.016***
(0.007–0.026)
|
0.017*
(− 0.001–0.036)
|
0.036***
(0.019–0.053)
|
0.018***
(0.006–0.030)
|
0.033***
(0.021–0.045)
|
EMERGENCY
|
0.022
(− 0.008–0.054)
|
0.034**
(0.007–0.062)
|
0.047***
(0.017–0.078)
|
−0.001
(− 0.016 − 0.014)
|
0.013
(− 0.002–0.020)
|
ANGER
|
0.035***
(0.025–0.046)
|
0.023***
(0.007–0.039)
|
0.054***
(0.038–0.069)
|
0.018***
(0.009–0.027)
|
0.009
(− 0.002–0.020)
|
FEAR
|
0.051***
(0.035–0.066)
|
0.031***
(0.009–0.053)
|
0.045***
(0.024–0.067)
|
0.018***
(0.007–0.028)
|
0.036***
(0.021–0.052)
|
ANXIETY
|
0.037***
(0.023–0.051)
|
0.021*
(− 0.001–0.044)
|
0.049***
(0.034–0.063)
|
0.026***
(0.015–0.036)
|
0.029***
(0.012–0.047)
|
WAVE 1
|
|
|
<Default>
|
|
|
WAVE 2
|
0.126*** (0.085–0.167)
|
0.092***
(0.048–0.137)
|
0.170***
(0.113–0.226)
|
0.043**
(0.009–0.077)
|
0.047***
(0.016–0.079)
|
WAVE 3
|
0.446***
(0.355–0.536)
|
0.273***
(0.181–0.365)
|
0.516***
(0.450–0.582)
|
0.177***
(0.144–0.210)
|
0.386***
(0.332–0.440)
|
WAVE 4
|
0.829*** (0.738–0.920)
|
0.687***
(0.592–0.782)
|
0.698***
(0.622–0.773)
|
0.329***
(0.286–0.373)
|
0.833***
(0.755–0.915)
|
WAVE 5
|
0.435***
(0.353–0.517)
|
0.269***
(0.185–0.354)
|
0.517***
(0.456–0.577)
|
0.289***
(0.260–0.318)
|
0.862***
(0.802–0.924)
|
WAVE 6
|
0.052
(− 0.014–0.119)
|
−0.010
(− 0.082 − 0.060)
|
0.025
(− 0.038–0.090)
|
0.237***
(0.203–0.272)
|
1.010
(0.942–1.079)
|
WAVE 7
|
0.161*** (0.101–0.221)
|
0.017
(− 0.046–0.081)
|
0.157***
(0.108–0.206)
|
0.267***
(0.235-0.300)
|
1.061***
(0.993–1.130)
|
WAVE 8
|
0.389***
(0.307–0.470)
|
0.141***
(0.061–0.220)
|
0.458***
(0.391–0.525)
|
0.317***
(0.278–0.356)
|
1.122***
(1.040–1.204)
|
WAVE 9
|
0.368***
(0.306–0.431)
|
0.153***
(0.095–0.210)
|
0.417***
(0.0357–0.477)
|
0.319***
(0.274–0.365)
|
1.146***
(1.068–1.224)
|
WAVE 10
|
0.344*** (0.271–0.416)
|
0.140*** (0.070–0.210)
|
0.323***
(0.259–0.387)
|
0.339***
(0.305–0.374)
|
1.133***
(1.065–1.201)
|
WAVE 11
|
0.304***
(0.239–0.369)
|
0.132***
(0.071–0.192)
|
0.373***
(0.309–0.436)
|
0.336***
(0.300-0.372)
|
1.126*** (1.053–1.198)
|
WAVE 12
|
0.375***
(0.304–0.446)
|
0.195***
(0.132–0.259)
|
0.442***
(0.375-0509)
|
0.363***
(0.322–0.405)
|
1.139***
(1.064–1.213)
|
WAVE 13
|
0.309*** (0.233–0.385)
|
0.141***
(0.079–0.201)
|
0.365***
(0.206–0.350)
|
0.372***
(0.334–0.410)
|
1.132***
(1.059–1.206)
|
WAVE 14
|
0.282***
(0.207–0.357)
|
0.156*** (0.078–0.232)
|
0.278***
(0.206–0.350)
|
0.355***
(0.315–0.395)
|
1.111***
(1.036–1.185)
|
WAVE 15
|
0.346***
(0.248–0.444)
|
0.231***
(0.141–0.322)
|
0.384***
(0.299–0.469)
|
0.413***
(0.360–0.467)
|
1.135***
(1.051–1.219)
|
Adj R2
Obs.
|
0.37
54,007
|
0.65
54,007
|
0.37
54,007
|
0.62
54,007
|
0.49
54,007
|
Note: Numbers within parentheses are 95% CI. For convenience, the coefficient of probability COVID-19 is multiplied by 1000. The model includes the number of deaths and infected persons in residential prefectures in surveys and proxied for mental conditions such as fear, anxiety, and anger. However, these results have not been reported. These are included, although the results have not been reported. ***p<0.01
**p<0.05
*p<0.10
|
The coefficient of confounders indicates marginal effects (ME). Table 6 presents the estimation results of the FE model using the entire sample. We begin by examining key variables of vaccination dummies. Except for Column (5), where the WEARING MASK is the dependent variable, the coefficients of the vaccination dummies show a positive sign in most cases. VACCINE FIRST is statistically significant only in columns (1) and (4), and its statistical significance is not at the 1% level. Furthermore, VACCINE SECOND_1 and VACCINE SECOND_2 are statistically significant at the 1% level in most cases in Columns (1)–(3); in contrast, VACCINE SECOND_3 and VACCINE SECOND_4 are not significant in any column. Furthermore, the effects of VACCINE SECOND_1 are (ME 0.099 [95% CI: 0.058–0.140]), (ME 0.070 [95% CI: 0.007–0.132]), (ME 0.077 [95% CI: 0.031–0.122]), in columns (1), (2), and (3), respectively. Thus, compared with the unvaccinated people, vaccinated people are more likely to stay at home by 0.099 points, not to go to work by 0.070 points, and not going out for leisure by 0.077 points on a 5-point scale. This indicates that the degree of staying home increased by 1.98%, not going to work by 1.40%, and not going out for leisure by 1.54% directly after the second shot than before vaccination. Turning to VACCINE SECOND_2, its effects increased (ME 0.123 [95% CI: 0.061–0.187]), (ME 0.123 [95% CI: 0.042–0.204]), (ME 0.106 [95% CI: 0.047–0.165]), in Columns (1), (2), and (3), respectively. Through conversion, this indicates that the degree of staying home and not going to work increased by 2.46%, and not going out for leisure by 2.12% two months after the second shot than before vaccination.
Overall, these imply that people who have completed their second shot choose to stay at home and not go out for work, school, or leisure. This tendency was observed in the month when they received the second shot and the next month. Particularly, the effect was larger in the following months. However, this effect was resolved.
Before estimation, we hypothesize that getting vaccinated might encourage people to go out more as COVID-19 is less likely to have a detrimental effect on vaccinated people. Our findings contradict this result. After vaccination, some side effects are normal and expected, including pain, swelling, and redness at the injection site, chills, mild fever, tiredness, headaches, joint pain, or muscle ache44. This may reduce the incentive to go out. However, side effects are resolved within a few days. Hence, side effects may affect one’s ability to perform daily activities for a few days44. However, experiencing side effects does not explain the increase in staying at home in the following months.
In our interpretation, social norms for promoting preventive behaviors were formed through the experience of COVID-19. According to an expert, “After being vaccinated, it’s important you continue the behaviours that protect yourself and others against COVID-19… This is because COVID-19 vaccines have proven effective at stopping people from developing the virus, but we don’t yet know whether they prevent people from passing the infection onto others.”44 This instruction is considered a “nudge’ to influence human behavior45–47. Social media exposure to COVID-19 information influences the adoption of preventive attitudes and behaviors by shaping risk perception48. Arguably, this kind of instruction after vaccination contributes to forming social norms through the media.
People would usually perceive having done something wrong when they go against social norms. Alternatively, vaccinated people will likely be punished if they break the norm. Especially at the early stage of vaccine distribution, vaccine supply was low, so only health care workers and adults could receive shots. Furthermore, making reservations for vaccination is quite challenging. Hence, the number if highly advantaged vaccinated individuals is very small. They would be seriously criticized if they break the norm. If vaccinated people derive the inference, they refrain from going out.
Hence, the norms become more effective for vaccinated people as they are less likely to obey them. The gap in preventive behaviors between vaccinated and unvaccinated individuals returned to pre-vaccination levels, but did not decrease, despite two or three months having passed. On handwashing and wearing masks, the dummies for vaccination did not show any significant negative sign. Therefore, vaccination did not hamper people’s adherence to preventive behaviors.
The model specification shows that subjective perception about COVID-19 is controlled by PROB COVID19 and SEVERITY COVID19. Particularly, the coefficient of SEVERITY COVID19 exhibits a positive sign and is statistically significant at the 1% level in all estimations. This is consistent with the inference that people are more likely to exhibit preventive behaviors if they consider the damage done by COVID-19 to be larger.
In most cases, wave dummies presented a positive sign and statistical significance at the 1% level, except WAVE 6. This suggests that people are more likely to display preventive behaviors than in the first wave when COVID-19 arrived in Japan and did not spread significantly. At the sixth wave (Fig. 3), the level of preventive behaviors temporarily returned to the levels observed during in the early stages of the first wave when the first declaration of a state of emergency had been terminated. A significantly positive sign of EMERGENCY is observed in Columns (2) and (3), which is reasonable because people were strongly urged not to go out.
Table 7
FE model. Dependent variables are preventive behaviors.
|
(1)
STAYING INDOORS
|
(2)
NOT GOING TO WORK
|
(3)
NOT FOR LEISURE
|
(4)
HANDWASHING
|
(5)
WEARING MASK
|
VACCINE FIRST
|
0.057** (0.007–1.077)
|
0.032
(− 0.015–0.080)
|
0.028
(− 0.014–0.069)
|
0.028** (0.0003–0.057)
|
0.003
(− 0.044–0.050)
|
VACCINE SECOND
|
0.107***
(0.059–0.154)
|
0.090***
(0.028–0.152)
|
0.079***
(0.0355–0.123)
|
0.008
(− 0.024–0.041)
|
0.005
(− 0.038–0.048)
|
Adj R2
Obs.
|
0.52
54,007
|
0.66
54,007
|
0.37
54,007
|
0.62
54,007
|
0.49
54,007
|
Note: Numbers within parentheses are 95% CI. The set of control variables used in Table 6 is included, although the results are not reported. |
***p < 0.01 |
**p < 0.05 |
*p < 0.10 |
Table 7 presents different specifications where the second shot dummy is used to examine the effect of the second shot instead of using four dummies to capture the timing of the second shot. Table 7 only focuses on whether respondents received their second shot. We report the key variables, although the set of control variables is the same as that in Table 6, and the results are similar to that of Table 6. Columns (1)–(3) show significant positive sign for VACCINE SECOND, but columns (4) and (5) do not. Its absolute values of coefficient and statistical significance are larger for VACCINE SECOND than VACCINE FIRST.
Table 8
FE Ordered Logit model. Dependent variables are preventive behaviors.
|
(1)
STAYING INDOORS
|
(2)
NOT GOING TO WORK
|
(3)
NOT FOR LEISURE
|
(4)
HANDWASHING
|
(5)
WEARING MASK
|
VACCINE FIRST
|
|
|
|
|
|
(Prob[y = 1])
|
−0.019**
(− 0.036 - −0.003)
|
−0.016
(− 0.047 − 0.014)
|
−0.003
(− 0.011 − 0.004)
|
−0.003**
(− 0.006 - −0.001)
|
−0.009*
(− 0.019 − 0.0004)
|
(Prob[y = 2)
|
−0.010**
(− 0.019 - −0.001)
|
−0.017
(− 0.004 - −0.001)
|
−0.002
(− 0.006 − 0.002)
|
−0.007**
(− 0.013 - −0.001)
|
−0.006*
(− 0.014 − 0.0003)
|
(Prob[y = 3)
|
−0.0007**
(− 0.001 - −0.0001)
|
0.0004
(− 0.0003–0.001)
|
−0.007
(− 0.024 − 0.009)
|
−0.022**
(− 0.041 - −0.003)
|
−0.014*
(− 0.029 − 0.0006)
|
(Prob[y = 4)
|
0.019**
(0.003–0.036)
|
0.002
(− 0.001–0.005)
|
−0.002
(− 0.005 − 0.002)
|
−0.006**
(− 0.012 - −0.001)
|
−0.015*
(− 0.032 − 0.007)
|
(Prob[y = 5)
|
0.011**
(0.001–0.021)
|
0.011
(− 0.013–0.046)
|
0.015
(− 0.018–0.049)
|
0.004**
(0.007–0.073)
|
0.047*
(− 0.002–0.096)
|
VACCINE SECOND
|
|
|
|
|
|
(Prob[y = 1])
|
−0.036***
(− 0.054 - −0.018)
|
−0.050***
(− 0.084 - −0.015)
|
−0.012***
(− 0.020 - −0.004)
|
−0.002
(− 0.005 − 0.001)
|
−0.014***
(− 0.023 - −0.004)
|
(Prob[y = 2)
|
−0.019***
(− 0.029 - −0.009)
|
−0.005***
(− 0.008 - −0.001)
|
−0.007***
(− 0.011 - −0.002)
|
−0.004
(− 0.010 − 0.001)
|
−0.010***
(− 0.017 - −0.003)
|
(Prob[y = 3)
|
−0.001***
(− 0.002 - −0.0006)
|
0.001***
(0.0003–0.002)
|
−0.027***
(− 0.043 - −0.010)
|
−0.013
(− 0.032 − 0.005)
|
−0.021***
(− 0.035 - −0.006)
|
(Prob[y = 4)
|
0.036***
(0.018–0.053)
|
0.005***
(0.001–0.009)
|
−0.006***
(− 0.010 − 0.002)
|
−0.004
(− 0.009 − 0.002)
|
−0.023***
(− 0.039 − 0.006)
|
(Prob[y = 5)
|
0.021***
(0.010–0.031)
|
0.048***
(0.015–0.081)
|
0.053***
(0.020–0.086)
|
0.023
(− 0.010–0.057)
|
0.068***
(0.020–0.115)
|
Wald-chi2
Obs.
|
2,551
54,007
|
1,269
54,007
|
2,340
54,007
|
1,232
54,007
|
3,426
54,007
|
Note: Numbers within parentheses are 95% CI. Values without parentheses are marginal effects. |
The set of control variables used in Table 6 is included, although the results are not reported.
***p < 0.01
**p < 0.05
*p < 0.10
|
Table 8 shows the results of the FE ordered logit model. To interpret the results correctly, one needs to consider the marginal effects in the probability that respondents select a particular option29,30. For instance, they choose “1” for question about degree of “staying indoors” if respondents have not completed staying indoors at all. We can calculate how the first vaccination is correlated with this probability. The marginal effect of VACCINE_SECOND for (Prob[y = 1]) is − 0.036, and statistically significant at the 1 % lvel. This implies that the second vaccination reduced 3.6% of the probability that they had not completed staying indoors at all. Similarly, they choose “5” for question on the degree of “staying indoors” if respondents have completely achieved staying indoors. Column (1) of Table 8 shows that VACCINE_SECOND for (Prob[y = 5]) is 0.021, and statistically significant at the 1 % lvel. This implies that the second vaccination increased 2.1% of the probability that they had completely achieved by staying indoors. The probability of choosing 2, 3, and 4 are also presented. Overall, VACCINE_SECOND shows statistical significance at the 1 % lvel, with the exception of Column (4). Further, the sign of VACCINE_SECOND is positive for Prob[y = 5] and negative for Prob[y = 1, 2]. Concerning (Prob[y = 3, 4]), its sign varies according to the columns. In contrast, VACCINE_FIRST shows similar results in columns (1), (4), and (5). However, it is not statistically significant at the 1 % lvel, and the absolute values of the marginal effect are smaller than those of VACCINE_SECOND. Overall, the implications from the results of Table 8 are almost the same as those of Table 7. The results of the simple FE model can be more convenient and more intuitively interpreted than the FE ordered logit model. Therefore, a simple FE model was used for the estimation in Tables 9 and 10.