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P-Chart Farrokh Alemi, Ph.D.
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Purpose To analyze adverse outcomes
Mortality Infection rate Medication error To examine percent population with a characteristic Percent satisfied with care Percent diabetes under control
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Assumptions Dichotomous, mutually exclusive and exhaustive events
The observations over time are independent Case mix does not change over time Sample represent population
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Steps in Construction of Limits
p = total adverse events / total cases si2 = p * (1-p) / ni UCL = p + 3 * s LCL = p – 3 * s Plot, interpret & distribute Number of cases in time period i
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Example data
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Calculate Grand Average p
=C10/B10 =SUM(C2:C9) =SUM(B2:B9)
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Calculate Standard Deviation
=(($B$12*(1-B$12))/B2)^0.5
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Calculate Control Limits
= $B$12 + 3*E2 Reset negative numbers to zero
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Plot chart
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Interpret chart & distribute
Note control limits change because number of cases per time period changes Any point outside the limits cannot be due to chance No points fall outside the limits
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