Nested Designs - Scholar
Nested Designs - Scholar
Nested Designs - Scholar
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2. Hypotheses<br />
A null and alternative hypothesis can be tested for each factor in the model, random or fixed.<br />
For fixed effects, like the effects of hybrids in the above example, we would have<br />
Fixed effects, of Hybrids<br />
e.g.,<br />
H0: The effects of all hybrids = 0, versus HA: The effects of some hybrids ≠ 0,<br />
H0: i 0for<br />
all i, versus HA: i 0for<br />
some i (7)<br />
and we would state the conclusion in the usual way:<br />
or<br />
There is/is not significant statistical evidence that hybrid affects<br />
transpiration rate (P=__ ),<br />
There is/is not significant statistical evidence that mean transpiration rate<br />
differs among hybrids (P=__ ).<br />
Random Effects, of Plants for Example<br />
For random effects, like the effects of plants in the above example, we would test hypotheses<br />
about the variance components of the random factors<br />
H0: The standard deviation of the random effects of plants = 0,<br />
versus<br />
HA: The standard deviation of the random effects of some plants ≠ 0.<br />
nested01.docx 8 4/5/2012
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