Introduction of Basic R
Cuilan Gao
Department of Mathematics UTC
August 2013
C.Gao (Math Dep. UTC)
MATH5110
August 2013
1 / 13
Download and Install R
Google R and hit the rst link. It will lead you to the R website and
you can choose Windows or MacOS X de
Explain the result
Full ANOVAL for single-factor analysis
Source of
variance
Between
treatments
Error
(within
treatment)
total
SS
df
r-1
MS
E(MS)
Estimation of Difference between two
Treatment
The proof of variance of Dhat will be given in
class
The confi
ANOVA:
Analysis of Variation
Math 5110 Lecture
Cuilan Gao
ANOVA : Analysis of Variance
of means of multiple groups
The basic ANOVA situation
Two variables: 1 Categorical (factor/IV), 1
Quantitative (response/DV)
Main Question: Do the (means of) the quant
Assumptions of the ANOVA
Homogeneity of variance- sample variances are equal (Bartkett
test)
Bartlett's test for homogeneity of variance, samples come from
normal populations (shapiro test)
ANOVA is robust enough to handle departures from normality
and un
R tutorial for Unequal sample size ANOVA
When the sample sizes within the levels of our independent variables are not equal, we have to
handle our ANOVA differently than in the typical two-way case. This tutorial will demonstrate
how to conduct a two-way
Fixed, Random and Mixed Model of
ANOVA
Job Interview Example (see data
Interview on my website)
R output
Since p-value =0.0099 < 0.05 (type I error)
We conclude that 2 >0 or that the mean
ratings of the personal officers differ.
Confidence Interval for ov
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JOE'S BLOWS Last week researchers reported that coffee might help prevent
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ANOVA Diagnostics
Cuilan Gao
Regression vs ANOVA
Basic
assumptions on errors are the same
(independence, normality, constancy of
variance for errors)
Recall that for ANOVA we do NOT have
the linearity assumption.
Diagnostic Procedure
Review
model diagn
Fixed, Random and Mixed Model of ANOVA
Job Interview Example (see data Interview
on my website)
R output
Since p-value =0.0099 < 0.05 (type I error)
We conclude that 2 >0 or that the mean ratings of the
personal officers differ.
Confidence Interval for ov