Opinion Today: A statistician and father on the under-5 vaccine

It might be time to stop relying so heavily on statistical significance, he argues. [View in browser](~/AAAAAQA~/RgRkAe-2P4QnAWh0dHBzOi8vbWVzc2FnaW5nLWN1c3RvbS1uZXdzbGV0dGVycy5ueXRpbWVzLmNvbS90ZW1wbGF0ZS9vYWt2Mj9jYW1wYWlnbl9pZD0zOSZlbWM9ZWRpdF90eV8yMDIyMDMwMiZpbnN0YW5jZV9pZD01NDYzMiZubD1vcGluaW9uLXRvZGF5JnByb2R1Y3RDb2RlPVRZJnJlZ2lfaWQ9Nzc2NzQ5NTImc2VnbWVudF9pZD04NDM3NyZ0ZT0xJnVyaT1ueXQlM0ElMkYlMkZuZXdzbGV0dGVyJTJGODA2YjY0OWQtNjgwYy01NWQ0LWEyNjEtMmEwZDJkZDc5ZmJlJnVzZXJfaWQ9YWE0OTFlZjdmMWQ5NjRlNDk3OWZiNzg0ZTc0ZTAxZDdXA255dEIKYh22ah9iIahPflIbdHJpc3RyYW1iYWxkd2luOTBAZ21haWwuY29tWAQAAAAA)|[nytimes.com](~/AAAAAQA~/RgRkAe-2P0SvaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~)[Continue reading the main story](#a11y-skip-ad-marquee) ~/AAAAAQA~/RgRkAe-2P0RtaHR0cHM6Ly9saXZlaW50ZW50Lm5ld3lvcmt0aW1lc2luZm8uY29tL2NsaWNrP3M9MTYyMTM5JmxpPVRZJm09YWE0OTFlZjdmMWQ5NjRlNDk3OWZiNzg0ZTc0ZTAxZDcmcD1UWV8yMDIyMDMwMlcDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~ [Read more from Opinion](~/AAAAAQA~/RgRkAe-2P0S-aHR0cHM6Ly93d3cubnl0aW1lcy5jb20vc2VjdGlvbi9vcGluaW9uP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) March 2, 2022 [Author Headshot] By Alexandra Sifferlin Senior Staff Editor, Opinion The Omicron wave in the United States has subsided over the past month, with cases down about 60 percent from two weeks ago. In response, state and local governments are relaxing many restrictions, like mask mandates, while vaccine requirements in places like New York City may be on the way out. The Centers for Disease Control and Prevention is also changing the way it evaluates community risk levels to include data on hospitals and health care capacity, in addition to case counts. Cases alone may not offer the clearest picture of how an area is faring after widespread vaccinations and infections. Dr. Ashish Jha, the dean of the Brown University School of Public Health, writes in [a guest essay](~/AAAAAQA~/RgRkAe-2P0TbaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMi8yNS9vcGluaW9uL2NkYy1jb3ZpZC1ndWlkZWxpbmVzLmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) that the United States has entered a “new phase” of the pandemic, so these new metrics are reasonable. “A virus and a population interact in a dizzyingly dynamic system, with mutations and layering immunity forming different profiles of population-wide risk at different times,” he writes. “Policy does and should recognize when these factors have changed enough to justify new approaches.” While restrictions relax and many Americans resume some of their prepandemic routines, there are still roadblocks for some groups. Parents of children under 5, for example, may feel stuck given the delay in vaccines for that age group. One such person is Aubrey Clayton, a statistician and a father of three children under age 4 who cannot yet be vaccinated. [Continue reading the main story](#a11y-skip-0) ADVERTISEMENT ~/AAAAAQA~/RgRkAe-2P0RsaHR0cHM6Ly9saXZlaW50ZW50Lm5ld3lvcmt0aW1lc2luZm8uY29tL2NsaWNrP3M9NTk3ODUmbGk9VFkmbT1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkNyZwPVRZXzIwMjIwMzAyVwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~ “Like many caregivers guarding young children against the coronavirus, my winter has been full of rapid tests, mask reorders and outdoor play dates in borderline frostbite conditions,” he writes in [a guest essay](~/AAAAAQA~/RgRkAe-2P0TWaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL3VuZGVyLTUtdmFjY2luZS5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~). “I’m able to manage this because I believe it’s temporary; we just need to hold out a little longer until our children can get vaccinated.” Clayton, who studies statistics, argues that the vaccines are not being evaluated with the best framework. “I’m also racked with concern that if the data had been assessed in a more nuanced way, we might be putting vaccination appointments on the family calendar right now,” he adds. Specifically, Clayton argues that the thinking around the data for a vaccine for children under five years old needs to shift. His essay is part of a larger debate among statisticians over the value of relying too heavily on statistical significance, which some argue is too binary. “What we need for the under-5 vaccine trial evaluation, instead of judgments of absolute safety or efficacy, is probable improvement over the next best alternative, taking into consideration all the available information,” Clayton writes. Clayton favors a Bayesian approach to data assessment. This framework would have investigators constantly update their understanding of any scientific claim based on the latest data, while also incorporating their prior beliefs, never definitively labeling a claim as proven or disproven. [Continue reading the main story](#a11y-skip-1) ADVERTISEMENT ~/AAAAAQA~/RgRkAe-2P0RtaHR0cHM6Ly9saXZlaW50ZW50Lm5ld3lvcmt0aW1lc2luZm8uY29tL2NsaWNrP3M9MjAxODEyJmxpPVRZJm09YWE0OTFlZjdmMWQ5NjRlNDk3OWZiNzg0ZTc0ZTAxZDcmcD1UWV8yMDIyMDMwMlcDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~ The essay is a compelling argument for a different way of thinking, not just about the vaccine for kids under 5, but also about how to best navigate decision-making in times of uncertainty and limited information. [Read the full essay here.](~/AAAAAQA~/RgRkAe-2P0TWaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL3VuZGVyLTUtdmFjY2luZS5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) [[Article Image] Jordan Gale for The New York Times](~/AAAAAQA~/RgRkAe-2P0TbaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMi8yNS9vcGluaW9uL2NkYy1jb3ZpZC1ndWlkZWxpbmVzLmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Guest Essay We’ve Entered a New Phase of the Pandemic. It’s Time for New Metrics. 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By Lev Golinkin](~/AAAAAQA~/RgRkAe-2P0T_aHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMi9vcGluaW9uL3VrcmFpbmUtbGllcy1hbmQtYm9uZXMtYm9uZXMtcHV0aW4tc3RhbGluLW1lbW9yeS1oaXN0b3J5Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Article Image](~/AAAAAQA~/RgRkAe-2P0T_aHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMi9vcGluaW9uL3VrcmFpbmUtbGllcy1hbmQtYm9uZXMtYm9uZXMtcHV0aW4tc3RhbGluLW1lbW9yeS1oaXN0b3J5Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [How You Can Help Ukraine There are many worthy groups asking for donations. Here are four standouts. By Gus Wezerek and Zach Levitt](~/AAAAAQA~/RgRkAe-2P0TxaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vaW50ZXJhY3RpdmUvMjAyMi8wMy8wMi9vcGluaW9uL3VrcmFpbmUtY2hhcml0eS1kb25hdGlvbi1ndWlkZS5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TxaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vaW50ZXJhY3RpdmUvMjAyMi8wMy8wMi9vcGluaW9uL3VrcmFpbmUtY2hhcml0eS1kb25hdGlvbi1ndWlkZS5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) Ideas [Guest Essay In Russia, I Learned, Threats Were Always Real A sense of menace floats long enough to make you think you’re paranoid. Sooner or later, what was feared happens. And nobody makes a secret of it. By Megan K. Stack](~/AAAAAQA~/RgRkAe-2P0TbaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMi9vcGluaW9uL3J1c3NpYS1wdXRpbi1uZW10c292Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TbaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMi9vcGluaW9uL3J1c3NpYS1wdXRpbi1uZW10c292Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Guest Essay Will Asian Americans Bolt From the Democratic Party? How this question gets answered has profound political ramifications. By Thomas B. Edsall](~/AAAAAQA~/RgRkAe-2P0TtaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMi9vcGluaW9uL2FzaWFuLWFtZXJpY2FuLXZvdGVycy1kZW1vY3JhdGljLXBhcnR5Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TtaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMi9vcGluaW9uL2FzaWFuLWFtZXJpY2FuLXZvdGVycy1kZW1vY3JhdGljLXBhcnR5Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [John McWhorter One Graceless Tweet Doesn’t Warrant Cancellation Intent and an apology must count for something. By John McWhorter](~/AAAAAQA~/RgRkAe-2P0ThaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL3BzeWNoaWF0cnktcHJvZmVzc29yLXR3ZWV0Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Article Image](~/AAAAAQA~/RgRkAe-2P0ThaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL3BzeWNoaWF0cnktcHJvZmVzc29yLXR3ZWV0Lmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) Opinion Audio [Alexander Vindman on Why It’s the ‘Beginning of the End’ for Putin The former Ukraine expert for the National Security Council shares his take on the Russia-Ukraine war. By ‘The Argument’](~/AAAAAQA~/RgRkAe-2P0TraHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL2FsZXhhbmRlci12aW5kbWFuLXVrcmFpbmUtcnVzc2lhLXdhci5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TraHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL2FsZXhhbmRlci12aW5kbWFuLXVrcmFpbmUtcnVzc2lhLXdhci5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) [How the Russian Invasion Changed This Ukrainian Pacifist’s Mind “We live in a moment when the army matters,” Nataliya Gumenyuk, a Ukrainian war correspondent reporting from Kyiv, tells Lulu Garcia-Navarro. By The New York Times](~/AAAAAQA~/RgRkAe-2P0TZaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL3VrcmFpbmlhbi1wYWNpZmlzdC5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TZaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL3VrcmFpbmlhbi1wYWNpZmlzdC5odG1sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~) What You’re Saying [letters Russian Invaders, and Ukraine’s Civilian Toll Readers praise the heroism of the Ukrainian people but worry about damage to civilian infrastructure and the need for humanitarian aid.](~/AAAAAQA~/RgRkAe-2P0TnaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL2xldHRlcnMvcnVzc2lhLXVrcmFpbmUtY2l2aWxpYW5zLmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TnaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL2xldHRlcnMvcnVzc2lhLXVrcmFpbmUtY2l2aWxpYW5zLmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [letters Pushing Back Against the C.D.C.’s Easing of Covid Rules Readers, including the mother of a 3-year-old and a heart transplant recipient, discuss how the changes affect them.](~/AAAAAQA~/RgRkAe-2P0TeaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL2xldHRlcnMvY2RjLWNvdmlkLXJ1bGVzLmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) [Article Image](~/AAAAAQA~/RgRkAe-2P0TeaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vMjAyMi8wMy8wMS9vcGluaW9uL2xldHRlcnMvY2RjLWNvdmlkLXJ1bGVzLmh0bWw_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) Subscribe Today New York Times Opinion curates a wide range of views, inviting rich discussion and debate that helps readers analyze the world. This work is made possible with the support of subscribers. [Please consider subscribing to The Times with this special offer](~/AAAAAQA~/RgRkAe-2P0TLaHR0cDovL3d3dy5ueXRpbWVzLmNvbS9zdWJzY3JpcHRpb24_Y2FtcGFpZ25JZD05S1hGVSZjYW1wYWlnbl9pZD0zOSZlbWM9ZWRpdF90eV8yMDIyMDMwMiZpbnN0YW5jZV9pZD01NDYzMiZubD1vcGluaW9uLXRvZGF5JnJlZ2lfaWQ9Nzc2NzQ5NTImc2VnbWVudF9pZD04NDM3NyZ0ZT0xJnVzZXJfaWQ9YWE0OTFlZjdmMWQ5NjRlNDk3OWZiNzg0ZTc0ZTAxZDdXA255dEIKYh22ah9iIahPflIbdHJpc3RyYW1iYWxkd2luOTBAZ21haWwuY29tWAQAAAAA). Games Here is [today’s Mini Crossword](~/AAAAAQA~/RgRkAe-2P0TDaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vY3Jvc3N3b3Jkcy9nYW1lL21pbmk_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~) and [Spelling Bee](~/AAAAAQA~/RgRkAe-2P0TDaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vcHV6emxlcy9zcGVsbGluZy1iZWU_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~). If you’re in the mood to play more, find [all our games here](~/AAAAAQA~/RgRkAe-2P0S0aHR0cHM6Ly93d3cubnl0aW1lcy5jb20vZ2FtZXM_Y2FtcGFpZ25faWQ9MzkmZW1jPWVkaXRfdHlfMjAyMjAzMDImaW5zdGFuY2VfaWQ9NTQ2MzImbmw9b3Bpbmlvbi10b2RheSZyZWdpX2lkPTc3Njc0OTUyJnNlZ21lbnRfaWQ9ODQzNzcmdGU9MSZ1c2VyX2lkPWFhNDkxZWY3ZjFkOTY0ZTQ5NzlmYjc4NGU3NGUwMWQ3VwNueXRCCmIdtmofYiGoT35SG3RyaXN0cmFtYmFsZHdpbjkwQGdtYWlsLmNvbVgEAAAAAA~~). Forward this newsletter to friends to share ideas and perspectives that will help inform their lives. They can [sign up here](~/AAAAAQA~/RgRkAe-2P0TKaHR0cHM6Ly93d3cubnl0aW1lcy5jb20vbmV3c2xldHRlcnMvb3Bpbmlvbi10b2RheW5sP2NhbXBhaWduX2lkPTM5JmVtYz1lZGl0X3R5XzIwMjIwMzAyJmluc3RhbmNlX2lkPTU0NjMyJm5sPW9waW5pb24tdG9kYXkmcmVnaV9pZD03NzY3NDk1MiZzZWdtZW50X2lkPTg0Mzc3JnRlPTEmdXNlcl9pZD1hYTQ5MWVmN2YxZDk2NGU0OTc5ZmI3ODRlNzRlMDFkN1cDbnl0QgpiHbZqH2IhqE9-Uht0cmlzdHJhbWJhbGR3aW45MEBnbWFpbC5jb21YBAAAAAA~). Do you have feedback? 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