Abstract
This paper investigates the impact of air pollution on students’ cognitive performance in a high-stakes exam: China’s College English Test (CET). We match exams taken from 2013 to 2017 at 22 universities across China with hourly air pollution measures from the nearest monitoring stations. Identification leverages a student fixed effects model, which alleviates the concern of omitted variables, such as students’ ability. Our estimates indicate a statistically significant negative impact of fine particulate matters (PM\(_{2.5}\)) exposure during exam windows on cognitive performance. By focusing on a single language exam, instead of comparing performance across different test subjects, we are able to paint a more accurate picture of the cognitive impact of air pollution. We highlight the importance of short-term air pollution exposure for high-stakes cognitive performance. Our results suggest that temporary defensive measures could be important in mitigating the negative consequences of air pollution.
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Notes
PM\(_{2.5}\) refers to particulate matters with diameters that are 2.5 micrometers and smaller.
For example, the Beijing–Tianjin–Hebei region, home for some 110 million people, experienced an annual average PM\(_{2.5}\) of 93 \(\mu g/m^3\) in 2014, which is 9 times the guideline advised by the WHO. See https://www.worldbank.org/en/results/2020/06/21/china-fighting-air-pollution-and-climate-change-through-clean-energy-financing.
That is, up to 8 times for a typical student in a 4-year bachelor’s program.
An explanation of CET scores is given (in Chinese) on the National College English Testing Committee website: http://cet.neea.edu.cn/html1/folder/19081/5124-1.htm, retrieved 10/19/2020.
The Ministry of Education of China guidelines require that students have a 4,200-word vocabulary to succeed in the CET4, and a 5,500-word vocabulary to succeed in the CET6, approximately comparable to modest to competent English proficiency in IELTS. The comparability is corroborated with admission guidelines from international higher education institutions that require English proficiency for their programs. For example, the UC Berkeley Summer School accepts the following comparable English proficiency requirements: CET4 of 493; CET6 of 450; TOEFL of 80; and IELTS of 6.5. University of Haifa accepts comparable scores in CET4 of 570, CET6 of 435, TOEFL of 89, and Duolingo of 110. We should note that the CET does not test for students’ proficiency in speaking, which both TOEFL and IELTS evaluate, thus the partial comparability.
For example, see https://wenr.wes.org/2018/08/an-introduction-to-chinas-college-english-test-cet, accessed 10/20/2022.
See details of the evaluation system in 2020 (in Chinese) at http://www.firstjob.shec.edu.cn/folder76/folder79/2020-09-22/4820.html, accessed 10/20/2022.
Writing score reflects the total score of the translation and writing sections
The CET test committee standardizes the test score to be distributed normally between 220 and 710 points, which corresponds to the empirical distribution of our sample. The range of our sample is slightly tighter than the overall distribution of test scores described by the CET committee.
For the CET4, percentages of first attempts in June and December are 56.16% and 43.84%, respectively. For the CET6, percentages of first attempts in June and December are 43.59% and 56.42%, respectively.
Available at http://106.37.208.233:20035/.
Precipitation is reported in the dataset, but zero precipitation and missing data are not distinguished at many stations. As in Carneiro et al. (2021), we do not include precipitation.
DD is calculated as follows:
$$\begin{aligned} \begin{aligned}&\text {Degree days above 14}^{\circ }\,\text{C}:\\&DDabove_k= \left\{ \begin{array}{lr} temp_k-14 &{}\text {if} \quad temp_k \ge 14\\ 0 &{}\text {if} \quad temp_k<14 \end{array} \right. \end{aligned} \\ \begin{aligned}&\text {Degree days below 14}^{\circ }\,\text{C}:\\&DDbelow_k= \left\{ \begin{array}{lr} 0 &{}\text {if} \quad temp_k \ge 14\\ 14-temp_k &{}\text {if} \quad temp_k<14 \end{array} \right. \end{aligned} \end{aligned}$$where \(temp_k\) is the temperature for time window k.
The average PM\(_{2.5}\) in June and December for CET4 is 47.88 and 74.90 \(\mu g/m^3\), respectively. The average PM\(_{2.5}\) in June and December for CET6 is 32.49 and 66.68 \(\mu g/m^3\), respectively. As expected, the averages of PM\(_{2.5}\) in December are higher than those in June for both the CET4 and CET6.
A typical Chinese university includes many academic departments. Some of the departments are incorporated into a college, for example, College of Science or College of Engineering, while others stay as individual departments. We observe either the college or the department of a student.
Using the standard deviations reported in Table 1, we calculate \((-0.0457\times 50.34/59.67)\times 100=3.86\%\).
Based on their preferred estimate in column (5) of Table 2 of Ebenstein et al. (2016), a one-standard deviation increase in PM\(_{2.5}\) decreases test score by 3.84% of a standard deviation.
The correlations between PM\(_{2.5}\) and PM\(_{10}\), SO\(_2\), NO\(_2\), CO, O\(_3\), and AQI are 0.91, 0.63, 0.76, 0.78, -0.29, 0.97 respectively.
The estimation samples are slightly different across sections and from the sample of total scores due to missing section scores. The standard deviations of PM\(_{2.5}\) are 52.67, 53.17, and 52.67 for the listening, reading, and writing samples, respectively.
According to (Guo and Sun 2014), a one-standard deviation increase in CET scores could lead to 3.3% increase in starting salary, which is equivalent to 29 dollars per month. The economic benefit of a one-standard deviation decrease in PM\(_{2.5}\) is 3.86%\(\times\)$29/month\(\times\)12 months\(\times\)5,000,000 CET6 takers, assuming half of the CET test takers in 2017 were CET6 takers.
That is Modern-Era Retrospective Analysis for Research and Applications, Version 2, available at https://cds.climate.copernicus.eu
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Appendix
Appendix
A. Details of the IV Approach
Following previous studies such as Chen et al. (2018b), Fu et al. (2021), Chen et al. (2018a), Sager (2019), Yi et al. (2020) and Rivera (2021), we instrument air pollution using thermal inversion intensity. Thermal inversion occurs when the air temperature in the upper level of the atmosphere is higher than that of the lower level. This will trap local pollution near the ground, causing a higher level of human exposure to air pollution. Thermal inversion intensity is a continuous variable and larger values of it indicate stronger thermal inversion. Following He and Ji (2021), we constructed thermal inversion intensity based on temperature collected from NASA’s MERRA-2 Project.Footnote 23 We use thermal inversion intensity from counties where the universities are located as an instrument variable.
We use the following 2SLS model to estimate the effect of air pollution on students’ cognitive performance. The main assumption is that thermal inversion intensity is not directly affect students’ scores during the exam window, except through air pollution. In the first stage, we estimate the effects of thermal inversion intensity on PM\(_{2.5}\) concentrations during the exam window.
In the second stage, we use predicted PM\(_{2.5}\) to assess the impact on CET6 total scores.
where \(tii_{ut}\) is the thermal inversion intensity at university u at time t. As is described Sect. 4, \({\textbf{W}}_{ut}\) is a vector of weather measures, \({\textbf{X}}_{iut}\) is a vector of student-level indicators, \(\theta _t\) denotes exam FEs, \(\lambda _{ut}\) denotes university-by-month FEs, and \(\alpha _i\) denotes student FEs.
Table 11 reports the first-stage estimates and Table 6 reports the 2SLS estimation results of impacts of PM\(_{2.5}\) on CET6 total scores.
B. Additional Tables
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Yao, Z., Zhang, W., Ji, X. et al. Short-Term Exposure to Air Pollution and Cognitive Performance: New Evidence from China’s College English Test. Environ Resource Econ 85, 211–237 (2023). https://doi.org/10.1007/s10640-023-00765-7
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DOI: https://doi.org/10.1007/s10640-023-00765-7