Factorial ANOVA Part 1
Conceptual background Main effects and interactions The ANOVA source table
One way ANOVA- one independent variable with multiple levels Factorial ANOVA- two (or more) independent variables w
Gender differences in the
Clinical diagnosis for
schizophrenia (Yes or no)
Gender (Male vs. Female)
Comparison of techniques
Person r, t-test, ANOVA
used when DV is quantitative (e.g., when
Roadmap of where we have
Descriptive statistics (ways we describe our data)
Graphs (i.e., histogram, frequency polygon)
Measures of central tendency (i.e., mean, median, mode)
CHAPTER 12: ANALYSIS
OF VARIANCE: ONEFACTOR REPEATED
The Boy Who Cried Wolf
What if we want to know whether the amount of times
that Sam cries wolf impacts the villagers belief in Sam?
DV: Villagers belief ratings in Sam (1-10; 10: totally believ
Analysis of Variance (ANOVA)
One-way ANOVA II
Review of ANOVA basics
Writing your conclusion
Review: Analysis of Variance:
As with t-test, ANOVA is used when the
Where are we?
Quantifying the degree of
Positive, negative, no correlation
Coefficient of determination
Interpretation of r (not causation!)
How could r be low when ther
Logic of Hypothesis Testing
Logic of hypothesis testing / statistical
The one-sample t-test
Effect size for one-sample designs
Testing significance of r
Transforming a question to a
Misaki N. Natsuaki, Ph.D.
Who are we?
Who am I?
Research on the development of
psychopathology, G-E interplay,
family influences, puberty
Popular vs. well-liked
Univariate vs. Bivariate
Mean, median, mode, z-scores, etc.
univariate distribution (one variable at a time)
What if we are interested in the relationship
between two variables?
Factorial ANOVA (II)
Marginal mean: Mean for a given
row collapsing over a column, or
for a given column collapsing
over a row
Cell mean: mean for all
observations within a given cell
Cell: condition fo
00:01:45,829 -> 00:01:54,196
In september 1939 versloegen de Duitse troepen
het Poolse leger binnen twee weken.
00:01:54,237 -> 00:02:00,325
Joden kregen het bevel al hun familieleden
te registreren en te verhuizen naar de grote steden.
Basis of Resampling Approach Randomization Test Other resampling procedures
Are these two things related?
Or alternatively, are these means different
In NHST we make a decisi
Introduction to nonparametric tests Chi square
Test of independence Test of goodness of fit
(Not covered in this course)
Up to this point, we have used parametric statistics.
Normal distribution (Z
Repeated Measures Designs
Repeated Measures conceptual background (sometimes called dependent samples) Dependent samples t test Repeated measure ANOVA
Assumptions of t & F
Normality the populations are normally distributed Homogeneity o
Factorial ANOVA Part 2
More on Factorial ANOVA
How to do calculations Working with the ANOVA source table
Following up on results
Tukey's HSD Graphing mean values
Factorial ANOVA is an experimental design with
Other Descrip/ve Sta/s/cs:
Z Scores &
Organizing and describing a set of data
Quan/ta/ve vs. qualita/ve variables
Scales of measurement