Chapter 8. 1-Way Analysis of Variance - Completely Randomized Design. Comparing t > 2 Groups - Numeric Responses. Extension of Methods used to Compare 2 Groups Independent Samples and Paired Data Designs Normal and non-normal data distributions. Completely Randomized Design (CRD).
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1-Way Analysis of Variance - Completely Randomized Design
where mis the overall mean, ai is the effect of treatment i , eij is a random error, and mi is the population mean for group i
A) m=100, t1=-20, t2=0, t3=20, s = 20
B) m=100, t1=-20, t2=0, t3=20, s = 5
C) m=100, t1=-5, t2=0, t3=5, s = 20
D) m=100, t1=-5, t2=0, t3=5, s = 5
Source: K.A. Engel and L.S. Young (1989). “Spatial and Temporal Patterns in the Diet of Common Ravens in Southwestern Idaho,” The Condor, 91:372-378
Do not conclude that seasons differ with respect to vegetation intake
Total SS Between Season SS Within Season SS
(Y’-Overall Mean)2 (Group Mean-Overall Mean)2 (Y’-Group Mean)2
An adjustment to H is suggested when there are many ties in the data. Formula is given on page 344 of O&L.
Note: No differences were found, these calculations are only for demonstration purposes