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Is it possible to reliably identify correctional institution inmates in 1920, 1930, 1940 100% samples

I have tried identifying correctional institution inmates in 1920, 1930, 1940 100% samples by combining information on the variables "gqtype" (correctional institution=2) and "relation" (institutional inmates=13). Aggregating the individual-level information to the state-level results however in most cases in estimates very different from (typically far below) the numbers in published census reports. Are there any known coding errors or inconsistencies in these variables in these samples, for example, correctional institutions coded as non-correctional institutions on the "gqtype" variable or institutional inmates not coded as such on the "relate" variable, that could account for the discrepancies? I have tried combining information on the variables "serial" and "pernum" with "gqtype" but it does not solve the problem. Is there a way to combine information on other variables to accurately identify correctional institution inmates?

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