A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="left">   Category </td><td align="center"> </td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left"><span style="width: 51.049999px;"><svg height="15.05" id="M60" style="vertical-align:-2.30685pt" version="1.1" viewbox="0 0 51.049999 15.05" width="51.049999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.017,-0,0,-.017,.062,12.112)"><path d="M293 -169q-145 0 -145 128q0 35 4 106t3 104q0 17 -2 28t-10 25.5t-28 23t-51 10.5v29q31 2 51 10.5t28 23t10 25.5t2 28q0 31 -4 101t-3 104q0 132 145 132v-28q-51 -7 -67.5 -30t-16.5 -63q0 -32 6.5 -99.5t6.5 -100.5q0 -97 -83 -115v-4q83 -20 83 -117
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</svg></td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr><tr class="table-fn"><td>Note: Both the <svg height="15.05" id="M64" style="vertical-align:-2.30685pt" version="1.1" viewbox="0 0 51.049999 15.05" width="51.049999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.112)"><path d="M293 -169q-145 0 -145 128q0 35 4 106t3 104q0 17 -2 28t-10 25.5t-28 23t-51 10.5v29q31 2 51 10.5t28 23t10 25.5t2 28q0 31 -4 101t-3 104q0 132 145 132v-28q-51 -7 -67.5 -30t-16.5 -63q0 -32 6.5 -99.5t6.5 -100.5q0 -97 -83 -115v-4q83 -20 83 -117
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</svg> are nonsensitive classes.<br/></td></tr></table>

The supplemental questionnaire for the combination questionnaire model.

Journal of Probability and Statistics

tab2

Table 2

Table 2: A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable 