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Update _05-frequency-tables-08-Information-loss.qmd
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ppdewolf authored Aug 26, 2024
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## Information loss {#sec-InfLoss_freq}

As described in [Sections @sec-Methods_freq] to [-@#sec-TRS] there are a number of different disclosure control methods used to protect frequency tables. Each of these methods modifies the original data in the table in order to reduce the disclosure risk\index{disclosure risk} from small cells (0's, 1's and 2's). However, the process of reducing disclosure risk\index{disclosure risk} results in information loss. Some quantitative information loss measures have been developed by Shlomo and Young (2005 & 2006) to determine the impact various statistical disclosure control (SDC) methods have on the original tables.
As described in [Sections @sec-Methods_freq] to [-@sec-TRS] there are a number of different disclosure control methods used to protect frequency tables. Each of these methods modifies the original data in the table in order to reduce the disclosure risk\index{disclosure risk} from small cells (0's, 1's and 2's). However, the process of reducing disclosure risk\index{disclosure risk} results in information loss. Some quantitative information loss measures have been developed by Shlomo and Young (2005 & 2006) to determine the impact various statistical disclosure control (SDC) methods have on the original tables.

Information loss measures can be split into two classes: measures for data suppliers, used to make informed decisions about optimal SDC methods depending on the characteristics of the tables; and measures for users in order to facilitate adjustments to be made when carrying out statistical analysis on protected tables. Here we focus on measures for data suppliers. Measuring utility and quality for SDC methods is subjective. It depends on the users, the purpose of the statistical analysis, and on the type and format of the data itself. Therefore it is useful to have a range of information loss measures for assessing the impact of the SDC methods.

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