Applying ANOVA

1
Applying ANOVA

• Using brute-force, Excel and Minitab to perform
  ANOVA

2
Warm-up

• Look at the following applet from the IPS website
  to remind you that ANOVA and F-scores investigate
  two sets of variances
• Variances between data sets
• Variances within data sets

3
Example 12.21 (pg 786)
Time Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d) Energy intake (kcal/d)
4 Months 499 620 469 485 660 588 675 517 649 209
  404 738 628 609 617 704 558 653 548  
5 months 490 395 402 177 475 617 616 587 528 518
  370 431 518 639 368 538 519 506    
6 Months 585 647 477 445 485 703 528 465    

• Graph data use boxplots if you have a stats
  package
• Prepare a table giving n, m and s for each group

N1 19
N2 19
N3 8
4
Boxplot of data

• Are the means different?

5
Example 12.23 (pg 787)
Group Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3) Bone Density (mg/cm3)
Control 611 621 614 593 593 653 600 554 603 569
Low Jump 635 605 638 594 599 632 631 588 607 596
High Jump 650 622 626 626 631 622 643 674 643 650