Class Notes (942,735)
CA (551,487)
Ryerson (31,292)
QMS (276)
QMS 202 (65)
Clare Chua (13)
Lecture 6

Lecture 6

4 Pages
140 Views

Department
Quantitative Methods
Course Code
QMS 202
Professor
Clare Chua

This preview shows page 1. Sign up to view the full 4 pages of the document.
2/13/2011
1
Lecture 6
Chapter 11
Section 11.5
One-Way ANOVA for Differences among more than two means
Frequently asked Question
Two samples are independent: the
sample selected from one population is
not related to the sam
p
le selected from
How do you differentiate “independent” and
“dependent” samples?
p
the second population.
The two samples are dependent:each
member of one sample corresponds to a
member of the other sample. Dependent
samples are also called paired samples
or matched samples.
Hypothesis Test
One Population
Population Mean,
µ
Population
Proportions, p
Arenp5and
1known1unknown
Is pop normal?
Z-test
Is pop normal?
T-test
Are
np5
and
n(1-p)5
Z-test
Hypothesis Test
One Population
Hypothesis Test
Two Populations
Sample
Independent Sample
dependent
2 MEANS2 Proportions
Check the 4
conditions
If yes
Normal?
Yes
No
STOP
Equal V2?unequal V2
V1and V2known?
Z-test Pooled Variance t-test
Z-test
Paired t-test
Yes
No
YesYe s
No
T-test
Pooled variance
Hypothesis Test
Two Population
Hypothesis Test
More than
Two Populations
Sample
Independent Sample
dependent
c MEANSc Proportions
Check the
conditions
If yes
Levene’stestFriedman Test,
Kendall
s
Wtest
Equal Variance unequal Variance
STOP
Chi-square
Test
Non-parametric test
One-Way ANOVA
Conditions/Assumptions:
1. Randomness and independence
2. Normality
3. Homogeneity of variance
Kendall s
W
test
,
Cochran’s Q test.
One-Way ANOVA (ANalysis Of
VAriance)
Compare means of more than two groups
One-way ANOVA, deals with one factor of
interest (e.g. performance, salary, etc)
Analyzing the variation “within groups” and
between groups
between
groups
Partitioning the TOTAL Variation : SST = SSA +SSW
Total Variation
SST
df=n-1
Among Group Variation
SSA
df=c-1
Within Group Variation
SSW
df=n-c
Note: n=total number of values in all
groups
n= n1+n2+n3+…
c= number of groups
www.notesolution.com

Loved by over 2.2 million students

Over 90% improved by at least one letter grade.

Leah — University of Toronto

OneClass has been such a huge help in my studies at UofT especially since I am a transfer student. OneClass is the study buddy I never had before and definitely gives me the extra push to get from a B to an A!

Leah — University of Toronto
Saarim — University of Michigan

Balancing social life With academics can be difficult, that is why I'm so glad that OneClass is out there where I can find the top notes for all of my classes. Now I can be the all-star student I want to be.

Saarim — University of Michigan
Jenna — University of Wisconsin

As a college student living on a college budget, I love how easy it is to earn gift cards just by submitting my notes.

Jenna — University of Wisconsin
Anne — University of California

OneClass has allowed me to catch up with my most difficult course! #lifesaver

Anne — University of California
Description
2132011 Frequently asked Question How do you differentiate independent and dependent samples? Two samples are independent: the Lecture 6 sample selected from one population is not related to the samp ple selected from Chapter 11 the second population. Section 11.5 The two samples are dependent: each One-Way ANOVA for Differences among more than two means member of one sample corresponds to a member of the other sample. Dependent samples are also called paired samples or matched samples. Hypothesis Test Hypothesis Test Hypothesis Test One Population Two Populations One Population 2 MEANS 2 Proportions Sample Population Mean, Population Independent Sample Proportions, p dependent Check the 4 conditions Normal? No STOP If yes known unknown Arrenppnddaan Yess Paired t-test n(1-p)5 Z-test No No 81and 2 known? Equal 8 ? unequal 8 Is pop normal? Is pop normal? Z-test Yes Yes T-test Pooled variance Z-test Pooled Variance t-test Z-test T-test Hypothesis Test Hypothesis Test More than One-Way ANOVA (ANalysis Of Two Population Two Populations c MEANS c Proportions VAriance) Compare means of more than two groups Sample Sample Check the One-way ANOVA, deals with one factor of Independent dependent conditions interest (e.g. performance, salary, etc) If yes Analyzing the variation within groups and Levenes test KKeennW tteesstt, W Cochrans Q Chi-square beetweeenn grroupps Equal Variance unequal Variance Test Partitioning the TOTAL Variation : SST = SSA +SSW STOP Among Group Variation One-Way ANOVA Non-parametric test SSA Total Variation df=c-1 ConditionsAssumptions: SST c= number of groups 1. Randomness and independence df=n-1 Within Group Variation 2. Normality Note: n=total number of values in all SSW 3. Homogeneity of variance groups df=n-c n= n1+n2+n3+ 1 www.notesolution.com
More Less
Unlock Document


Only page 1 are available for preview. Some parts have been intentionally blurred.

Unlock Document
You're Reading a Preview

Unlock to view full version

Unlock Document

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit