For　comparison　of　proportions,　there　are　three　commonly　used　measurements:　the　difference,　the　relative　risk,　and　the　odds　ratio.　Significant　effort　has　been　spent　on　exact　confidence　intervals　for　the　difference.　In　this　article,　we　focus　on　the　relative　risk　and　the　odds　ratio　when　data　are　collected　from　a　matched-pairs　design　or　a　two-arm　independent　binomial　experiment.　Exact　one-sided　and　two-sided　confidence　intervals　are　proposed　for　each　configuration　of　two　measurements　and　two　types　of　data.　The　one-sided　intervals　are　constructed　using　an　inductive　order,　they　are　the　smallest　under　the　order,　and　are　admissible　under　the　set　inclusion　criterion.　The　two-sided　intervals　are　the　intersection　of　two　one-sided　intervals.　R　codes　are　developed　to　implement　the　intervals.　Supplementary　materials　for　this　article　are　available　online.