Question

# Rehabilitation therapy. A rehabilitation center researcher was interested in examining the relationship between physical fitness prior...

Rehabilitation therapy. A rehabilitation center researcher was interested in examining the relationship between physical fitness prior to surgery of persons undergoing corrective knee surgery and time required in physical therapy until successful rehabilitation. Patient records in the rehabilitation center were examined, and 24 male subjects ranging in age from 18 to 30 years who had undergone similar corrective knee surgery during the past year were selected for the study. The number of days required for successful completion of physical therapy and the prior physical fitness status (below average, average, above average) for each patient follow:

Table 1: Data for problem 16.9

 i 1 2 3 4 5 6 7 8 9 1 below average 29 42 38 40 43 40 30 42 2 average 30 35 39 28 31 31 29 35 29 33 3 above average 26 32 21 20 23 22

Assume that ANOVA cell mean model (16.2) is appropriate:

(a) Do the factor level means appear to differ? Does the variability of the observations within each factor level appear to be approximately the same for all factor levels?

(b) Obtain the fitted values.

(c) Obtain the ANOVA table

(a) Do the factor level means appear to differ? Does the variability of the observations within each factor level appear to be approximately the same for all factor levels?

The factor level appears to be different. The variability of the observations within each factor level appears to be approximately the same for all factor levels.

(b) Obtain the fitted values.

y = 192 + 16*x1 + 14.2*x2 + 19.8*x3

(c) Obtain the ANOVA table

 Source SS df MS F p-value Treatment 672.00 2 336.000 16.96 0.0000 Error 416.00 21 19.810 Total 1,088.00 23