Factorial ANOVA Part 1
Lecture 12
Today
Factorial ANOVA
Conceptual background Main effects and interactions The ANOVA source table
ANOVA
One way ANOVA- one independent variable with multiple levels Factorial ANOVA- two (or more) independent variables w
Chi-square
Example
Gender differences in the
prevalence of
schizophrenia
Clinical diagnosis for
schizophrenia (Yes or no)
Gender (Male vs. Female)
1
Comparison of techniques
Person r, t-test, ANOVA
used when DV is quantitative (e.g., when
youre compa
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Chapter 7
Theoretical Distributions
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Roadmap of where we have
been
n
Descriptive statistics (ways we describe our data)
n
n
n
n
n
Graphs (i.e., histogram, frequency polygon)
Measures of central tendency (i.e., mean, median, mode)
Standard deviation
Cor
CHAPTER 12: ANALYSIS
OF VARIANCE: ONEFACTOR REPEATED
MEASURES
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
Overview
Review of ANOVA basics
Multiple comparisons
Effect size
Writing your conclusion
ANOVA assumptions
1
Review: Analysis of Variance:
Rationale (I)
As with t-test, ANOVA is used when the
dependent variab
Regression
Where are we?
Correlation, r
Bivariate distribution
Quantifying the degree of
relationships
Positive, negative, no correlation
Three formulas
Coefficient of determination
Interpretation of r (not causation!)
How could r be low when ther
Logic of Hypothesis Testing
One-sample t-test
Todays menu
Logic of hypothesis testing / statistical
significance
The one-sample t-test
Effect size for one-sample designs
Testing significance of r
1
Hypothesis testing
Transforming a question to a
1/6/15
1
PSYC11
Psychological Methods:
Statistical Procedures
Winter 2015
Misaki N. Natsuaki, Ph.D.
2
Who are we?
Who am I?
Developmental Psychologist
Research on the development of
psychopathology, G-E interplay,
family influences, puberty
Who are
Correlation
Example:
Popular vs. well-liked
(developmental approach)
1
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?
bi
Factorial ANOVA (II)
Terminology
Marginal mean: Mean for a given
row collapsing over a column, or
for a given column collapsing
over a row
Low
High
Cell mean: mean for all
observations within a given cell
Audience (A)
Self-Esteem (B)
Cell: condition fo
1
00:01:45,829 -> 00:01:54,196
In september 1939 versloegen de Duitse troepen
het Poolse leger binnen twee weken.
2
00:01:54,237 -> 00:02:00,325
Joden kregen het bevel al hun familieleden
te registreren en te verhuizen naar de grote steden.
3
00:02:00,366
Resampling Procedures
Lecture 16
Today
Basis of Resampling Approach Randomization Test Other resampling procedures
Statistical Inference
Basic Question
Are these two things related?
Or alternatively, are these means different
In NHST we make a decisi
ChiSquare
Lecture 15
Today
Introduction to nonparametric tests Chi square
Test of independence Test of goodness of fit
(Not covered in this course)
NonParametric Statistics
Up to this point, we have used parametric statistics.
Normal distribution (Z
Repeated Measures Designs
Lecture 14
Today
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
Lecture 13
Today
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
Factorial ANOVA is an experimental design with
1/15/15
+
Chapter 5
Other Descrip/ve Sta/s/cs:
Z Scores &
Eect Size
1
+
2
So far
Organizing and describing a set of data
Quan/ta/ve vs. qualita/ve variables
Scales of measurement
Frequency distribu/ons
Mea