Chap 10 Flashcards
ANOVA
The analysis of variance, or more briefly ANOVA, refers broadly to a
collection of experimental situations and statistical procedures for the analysis
of quantitative responses from experimental units.
The simplest ANOVA problem
is referred to variously as a single-factor, single-classification, or oneway
ANOVA.
It involves the analysis either of data sampled from more than
two numerical populations (distributions) or of data from experiments in which
more than two treatments have been used.
the factor
The characteristic that differentiates
the treatments or populations from one another is called the factor under
study,
the levels
the different treatments or populations are referred to as the levels
of the factor.
Single-factor ANOVA…
Single-factor ANOVA focuses on a comparison of more than two population or
treatment means.
The relevant hypotheses are
H0: m1 5 m2 5…5 mI
versus
Ha: at least two the of the mi’s are different
SST
Sum of Squares Total
SSE
Sum of Squares Erros
SSTr
Sum of Squares Total residuals
Multiple COmparisons Procedure
A method for carrying out further analysis to know which of the mu’s are different from one another when we reject the H0 (Null Hypothesis).
Tukey’s Procedure aka
the “T” method, student “T”’s method
the “T” method is also known as…
Tukey’s procedure
What does the Tuley method control?
Tukey’s method controls the simultaneous confidence level. (What does simultaneous mean though?)