Lecture Overview on ANOVA. Review hypothesis testing; inferential statistics z-test, t-test, independent & dependent t-test New Stuff Power – Ability to reject Ho ANOVA An alysis o f Va riance Done with 3 or more groups Playground Exercise Complete SPSS Example. Power.
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Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
α area (where we reject the Ho, and we shouldn’t)
beyond tcritical
under Ho
β area (where we retain the Ho, and we shouldn’t)
inside tcritical
under Ha
α
α
tc
tc
tc
β
Ho: μ=55
Ha: μ>55
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
#1: Increase Treatment: Increase difference between groups (μ’s)
H0: μ=55
H0: μ=55
Reality: μ=57
Reality: μ=72
β
tc
tc
tc
tc
β
β
β
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
#1 Increase Treatment Effect
(Increase BG differences)
Rat study
0,3,or 6 mg
0,10,or 20 mg
Therapy study
10 therapy sessions
1 therapy session
#2 Decrease Sampling Error
(Decrease WG differences)
Rat study
Different strains of rats
Same strain of rat
Rats allowed to eat freely
Rats all unfed for 24 hours
Therapy study
Diff. types of Therapy
Same type of Therapy
Rat Study: IV:Caffeine Level DV:Amt. Food Found
Therapy Study: IV:Therapy (drug, talk, drug+talk, or control) DV: Improvement]
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
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Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Number of Food Pellets Found
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
IV
DV
Label levels of IV so output is easier to read.
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Put DV here.
Put IV here.
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Select this to get descriptive statistics like sample means & standard deviations.
Alpha level still set to .05, just like it was with t-tests.
Gives you a line graph of the sample means
Conducts “after the fact” test to compare all pairs of sample means.
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Sample means from 3 groups, plus mean amount of food found overall.
Source of Variation Table
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
No Sig. Diff. Between 0 & 10mg
Rats at 20 mg found significantly more food than rats on 0 or 10 mg of caffeine.
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
df Between Groups
df Within Groups
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Study: Does alcohol affect reaction time?
Identify the treatment effect in this case.
Explain how sampling error might arise.
μna=?? μ2b=?? μ4b=?? Population Means
14 23 26 Sample Means
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
One-Way ANOVA
Part 2!!
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Study: Does alcohol affect reaction time?
What accounts for variability within groups?
What accounts for variability between groups?
What’s the Formula for F?
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Study: Does alcohol affect reaction time?
If the alcohol content of the beers is not held constant, what happens to F?
increases
decreases
neither
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Bet. Group Varib: L M H
MSbg: _______
With. Group Varib:L M H
MSwg: _______
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Bet. Group Varib: L M H
MSbg: _______
With. Group Varib:L M H
MSwg: _______
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Bet. Group Varib: L M H
MSbg: _______
With. Group Varib:L M H
MSwg: _______
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Bet. Group Varib: L M H
MSbg: _______
With. Group Varib:L M H
MSwg: _______
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Bet. Group Varib: L M H
MSbg: _______
With. Group Varib:L M H
MSwg: _______
Dr. Sinn, PSYC301, The joy of 1-way ANOVA
Bet. Group Varib: L M H
MSbg: _______
With. Group Varib:L M H
MSwg: _______
Dr. Sinn, PSYC301, The joy of 1-way ANOVA