Statistical Thinking Tools

Bob Luttman, Robert Luttman & Associates

Home Page | Introduction | Statistical Thinking | Control Charts | Individuals Control Charts | Percentage Control Charts | Control Charts for the Average | Choosing the Proper Control Chart | Control Charts - Summary | Histograms | Pareto Analysis | Scatter Diagrams | Conclusion | Assignment | Comments | Questions
                                               

P Chart

 

  • Use

    An attribute control chart that monitors percentages. Some healthcare related examples are % Unplanned Returns to the O.R. and % C/Section Deliveries.

     

 

  • Construction

     

    1. Obtain at least 20 samples (of variable size ni)

    2. Calculate the relevant percentage for each subsample (p=Sum(Xi) / ni )

    3. Calculate and plot:

     

    p-bar = total number of units having the characteristic / total number of units

    sp =

     

    UCL = p-bar + (3 x sp)

     

    LCL = p-bar - (3 x sp) , or 0 if LCL<0

    Note: Control limits are variable! The standard deviation is a function of the individual sample size and varies with every sample.

     

 


P chart Interpretation - Same as for other control charts


P Chart - Examples

 

The clinic director's dilemma…

Is the scheduling problem due to cancellations or no shows?

 

 

 

 

The cancellations are in control, and therefore predictable. The no shows are not in control, a special cause occurred on 9/9.

Home Page | Introduction | Statistical Thinking | Control Charts | Individuals Control Charts | Percentage Control Charts | Control Charts for the Average | Choosing the Proper Control Chart | Control Charts - Summary | Histograms | Pareto Analysis | Scatter Diagrams | Conclusion | Assignment | Comments | Questions

rluttman@robertluttman.com
Improving Healthcare Across the Continuum