STAT3012 Lecture Notes - Lecture 14: Dfs Furniture, Design Matrix, Data Set
23 Jun 2018
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Lecture 14 – One-way ANOVA
One-way ANOVA was already covered in S2x12 and is therefore assumed knowledge.
However, in this course we derive all underlying quantities more carefully and it is
expected that the various formulae are understood.
New concepts
✷One-way ANOVA
✷Within and between sum of squares
✷Sum constraint
✷Treatment constraint
✷Contrasts
✷Confidence intervals for contrasts
Applied Linear Models: Lecture 14 1
find more resources at oneclass.com
find more resources at oneclass.com
New topic – One-way ANOVA
Back to the first half of the 20th century...
Scope
A one-way ANOVA can be used for comparing tdifferent treatments when it is
reasonable to assume that the treatment only affects the mean response (but not
the entire distribution!).
Applied Linear Models: Lecture 14 2
find more resources at oneclass.com
find more resources at oneclass.com
Example – Stimulating effects of caffeine
✷Data set from Lecture 1: Does caffeine stimulation affect the rate at which
individuals can tap their fingers?
✷N= 30 male students randomly allocated to t= 3 groups of n= 10 students
each:
◦Group 1: zero caffeine dose
◦Group 2: low caffeine dose
◦Group 3: high caffeine dose
✷Allocation was blind (subjects did not know their caffeine dosage).
✷Two hours after treatment, each subject tapped fingers as quickly as possible
for a minute. Number of taps recorded.
Applied Linear Models: Lecture 14 3
find more resources at oneclass.com
find more resources at oneclass.com
