Question: The book Using Designed Experiments to Shrink Health Care Costs [1997, ASQ Quality Press] presented a case study of an unreplicated 2 5 factorial design

The book Using Designed Experiments to Shrink Health Care Costs [1997, ASQ Quality Press] presented a case study of an unreplicated 25factorial design to investigate the effect of five factors on the length of accounts receivable measured in days. A summary of the investigated factors and the results of the study follows.

Length of Stay Length of Account Receivable (days) Payer Type Number of

(a) Construct the normal probability plot of the effects and interpret the plot.

(b) Pool the negligible higher-order interactions to obtain an estimate of the error and construct the ANOVA accordingly.

(c) Analyze the residuals and comment on model adequacy.

Length of Stay Length of Account Receivable (days) Payer Type Number of Visits Case Row Disciplines Manager 1 17 2. 28 40 4 31 5 28 43 47 9. 26 10 29 11 60 12 47 13 18 14 32 15 64 16 49 17 33 |I|| III |I|| I|I | + |II III I + + + + + + + + |II + + + + |II + + + +| |I + + I| + +I| + +|| + +| + I + I +| + -I +| +I + |

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