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Journal of Chinese Integrative Medicine ›› 2012, Vol. 10 ›› Issue (11): 1229-1232.doi: 10.3736/jcim20121105

• Methodology • Previous Articles     Next Articles

Three-factor designs unable to examine the interactions (Part 2)

Liang-ping Hu(), Xiao-lei Bao#br#   

  1. Consulting Center of Biomedical Statistics, Academy of Military Medical Sciences, Beijing 100850, China
  • Received:2012-09-12 Accepted:2012-09-16 Online:2012-11-20 Published:2018-11-15

Three-factor designs that are unable to examine the interactions include crossover design and Latin square design, which can examine three factors: an experimental factor and two block factors. Although the two design types are not quite frequently used in practical research, an unexpected research effect will be achieved if they are correctly adopted on appropriate occasions. This article introduced the 3×3 crossover design and the Latin square design by examples.

Key words: statistics, medical, research design, factor analysis, statistical


Participant Group Doses and food intake
1 2 3
1 1 A (xx) B (xx) C (xx)
8 1 A (xx) B (xx) C (xx)
9 2 A (xx) C (xx) B (xx)
16 2 A (xx) C (xx) B (xx)
17 3 B (xx) A (xx) C (xx)
24 3 B (xx) A (xx) C (xx)
25 4 B (xx) C (xx) A (xx)
32 4 B (xx) C (xx) A (xx)
33 5 C (xx) A (xx) B (xx)
40 5 C (xx) A (xx) B (xx)
41 6 C (xx) B (xx) A (xx)
48 6 C (xx) B (xx) A (xx)


Types of medicine or control (the setting
time of plasma recalcification)
1 2 3 4
1 C (85) D (102) A (90) B (100)
2 D (108) A (88) B (110) C (80)
3 A (95) B (98) C (82) D (110)
4 B (105) C (78) D (104) A (92)


1 2 3 4
1 C ( ) B ( ) A ( ) D ( )
2 B ( ) A ( ) D ( ) C ( )
3 A ( ) D ( ) C ( ) B ( )
4 D ( ) C ( ) B ( ) A ( )
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