EXAMPLE:  Weight Loss under 3 diets

Data:

lowFAT

lowCAL

lowCARB

22

24

28

18

21

27

21

26

30

25

27

32

 

 

In Minitab:
Stat - ANOVA - One-Way (Unstacked) - select three columns

Under Graphs - Individual Value Plots and Boxplots


    

One-way ANOVA: lowFAT, lowCAL, lowCARB

Source  DF      SS     MS     F      P
Factor   2  122.17  61.08  9.05  0.007
Error    9   60.75   6.75
Total   11  182.92

S = 2.598   R-Sq = 66.79%   R-Sq(adj) = 59.41%
 

                           Individual 95% CIs For Mean Based on
                           Pooled StDev
Level    N    Mean  StDev  -------+---------+---------+---------+--
lowFAT   4  21.500  2.887  (-------*--------)
lowCAL   4  24.500  2.646           (-------*-------)
lowCARB  4  29.250  2.217                        (--------*-------)
                           -------+---------+---------+---------+--
                               21.0      24.5      28.0      31.5

Pooled StDev = 2.598
 
 

EXAMPLE:  Blueberry and Aging

Response Variable:  Rod Walking -
Response is Latency to Fall (in seconds)while walking on a rod.
 

control

strawberry

spinach

blueberry 

6.4

7.4

7.2

10.8

3.8

6.8

7.3

10.1

5.4

5.8

8.4

10.9

4.4

6.4

6.9

8.9

5.5

5.2

6.0

11.8

7.3

7.2

7.0

10.8 


 

One-way ANOVA: control, strawberry, spinach, blueberry

Source  DF       SS      MS      F      P
Factor   3   87.615  29.205  30.02  0.000
Error   20   19.455   0.973
Total   23  107.070

S = 0.9863   R-Sq = 81.83%   R-Sq(adj) = 79.10%
 

                              Individual 95% CIs For Mean Based on
                              Pooled StDev
Level       N    Mean  StDev  -------+---------+---------+---------+--
control     6   5.467  1.277  (---*----)
strawberry  6   6.467  0.845       (---*----)
spinach     6   7.133  0.774          (----*---)
blueberry   6  10.550  0.973                            (---*---)
                              -------+---------+---------+---------+--
                                   6.0       8.0      10.0      12.0

Pooled StDev = 0.986
 
 
 
 
 
 
Response Variable: RotaRod -
Response is Latency to Fall (in seconds)while walking on a rotating rod.
 

control

strawberry

spinach

blueberry

3.5

4.5

2.2

8.4

2.9

5.2

4.4

5.1

4.6

3.1

3.8

9.1

3.5

3.7

2.0

5.8

3.0

3.8

3.6

8.9

4.2

3.1

3.3

8.1


 
 

One-way ANOVA: control, strawberry, spinach, blueberry

Source  DF     SS     MS      F      P
Factor   3  73.02  24.34  20.01  0.000
Error   20  24.33   1.22
Total   23  97.35

S = 1.103   R-Sq = 75.01%   R-Sq(adj) = 71.26%
 

                             Individual 95% CIs For Mean Based on
                             Pooled StDev
Level       N   Mean  StDev  ------+---------+---------+---------+---
control     6  3.617  0.668     (-----*----)
strawberry  6  3.900  0.822       (----*-----)
spinach     6  3.217  0.939  (-----*-----)
blueberry   6  7.567  1.692                             (-----*-----)
                             ------+---------+---------+---------+---
                                 3.2       4.8       6.4       8.0

Pooled StDev = 1.103