On September 2, the American Statistical Association posted its biweekly update regarding the status of the 2020 Census Quality Indicators efforts. The update is posted at: https://www.amstat.org/ASA/News/Updates-on-the-2020-Census-Quality-Indicators.aspx, the content for which is pasted below.
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September 2, 2021: After receiving feedback from the task force in July, the researchers submitted the final draft of their analysis and interpretation in mid-August. Currently, the task force is using their input, along with analyses of publicly available information by other TF members, to produce its report.