PROTEUS

              

 

 

 

 

 

 

 

Back to ENH440 Problems & Solutions

 

 

Solution in detail #4

Ho1:  no effect on days with inflammation due to treatment category

Ho2:  no effect on days with inflammation due to age

H03:  no interaction between treatment and age in terms of days with inflammation

source        SS        df         MS          F              P     

Groups     83.05       5         

treatm     32.42       2       16.21        2.385     P  >  0.05  ns

age          37.20       1       37.20        5.474     P  <  0.05

Tr x Age   13.41       2         6.70        0.986     P >> 0.05  ns

Resid      163.10     24         6.79                              

Total      246.13     29        

 

 

-   

- 19.0

-               

-

-

-   

-             13.3         13.7

-              

-           

-

-

-

-     

-  

-

-  

- 15.5

-

-                    

-             11.0      11.3

-             

-                         

-               

-

 

-                     

-   19.0                 

-

-  

-                    15.0

-          

-

-                    

-                    

-

-

-

-  

-

-

-  

-

-

- 13.3         

-                       11.0

-                      

-                       

-

-

-

-  

-

-

- 13.7    

-                   11.3      

-

-

-                   

-

      C         L         H

                OLD    

      C        L         H

              YOUNG

 

     O                Y

           Control

     O                 Y

            LO

     O                 Y

            HI

 Ho1:  no effect on days with inflammation due to treatment category

 F(calc):  MS(tr) / MS(res) = 2.385             F(0.05)(2,24): 3.4     Unable to reject Ho1  (P>0.05)  

 

 Ho2:  no effect on days with inflammation due to age

 F(calc):  MS(age) / MS(res) = 5.474            F(0.05)(1,24): 4.26        Reject  Ho2         (P<0.05)

 

 H03:  no interaction between treatment and age in terms of days with inflammation

 F(calc):  MS(trXage) / MS(res) = 0.986        F(0.05)(2,24): 3.4     Unable to reject Ho3

 

Summary.. 

 

There was no interaction observable between the two main factors and this is endorsed by the

ANOVA analysis. (This simplifies the explanation)  

 

The TREATMENT reduced the number of days when inflammation was present to approximately

two-thirds of the period with inflammation when no treatment (control) was given (means

of 12 days v 18 days).   Negligible difference was noted between low and high doses.  This

difference was not enough to claim statistical significance.

 

AGE affected the number of days with inflammation. The average # of days for young animals was

12.6 while older animals showed 15.3 days.  This difference was statistically significant at P<0.05.