SLIDE 28 28 Balancing
Balancing means that there should be an equal number
- f experimental units is all groups.
Balanced designs are statistically more powerful than unbalanced designs. Example:
- In the study of breast cancer, 30 individuals were recruited fro
the cancer cohort, and 30 individuals as their health controls (balanced for the disease).
- 60 Affymetrix chips are available for hybridizing these samples.
Affymetrix station only takes 8 chips at a time, so 4 cancer patients and 4 healthy controls are randomly picked to be hybridized in every batch (balanced for day effect).
- Two laboratory technicians are making the hybridizations. Both
process 30 samples, half being cancer patients and half healthy controls (balanced for the technician).
Randomization
Randomization is a way to control for effects of factors not explicitely taken care of in the experimental design. In randomization experimental units are randomly allocated to treatment groups.
- Sixty cell culture vials are randomly divided into control and
treatment groups. They retain their places in the incubator regardless of the group (completely randomized trial).
Random does not mean haphazard. Randomization takes some effort. Use e.g., dice, playing cards, random number generator, random number tables, etc. for randomization. In the best case the randomization is blind. The experimenter must not be able to identify the samples before the whole experiment has been concluded.
Completely randomized design
1 2 1 1 4 2 1 1 2 3 1 2 1 2 2 2 2 2 1 1 D C B A Row #
Let’s divide 16 samples into two groups of equal size. I’ve created a random number table on the right. Reading the table from the top left to the bottom right, the cell culture vials are assigned to two groups. We might then arrange the vials on the tray in the same order and put the tray in the incubator.
Blocking
Blocking is arranging experimental units into similar groups. Blocking is used for controlling for factor that can not be manipulated, but are known. Example:
- While studying a responce to a drug treatment, both males and
females were recruited for the study. Responce might depend
- n sex, so individuals were first divided into two groups
according to their sex, and then randomly assigned to treatment groups (randomized block design).