Repeated Measures Univariate Analysis.

Slides:



Advertisements
Similar presentations
C82MST Statistical Methods 2 - Lecture 8 1 Overview of lecture What is a mixed (or split plot) design Partitioning the variability Pre-analysis checks.
Advertisements

Randomized Complete Block and Repeated Measures (Each Subject Receives Each Treatment) Designs KNNL – Chapters 21,
Experimental Design I. Definition of Experimental Design
Analysis of Variance (ANOVA) ANOVA methods are widely used for comparing 2 or more population means from populations that are approximately normal in distribution.
Randomized Experimental Design
Using a Repeated Measures ANOVA to Analyze the Data from a Pretest- Posttest Design: A Potentially Confusing Task Schuyler Huck and Robert McLean.
Analysis of variance (ANOVA)-the General Linear Model (GLM)
Statistics for Linguistics Students Michaelmas 2004 Week 6 Bettina Braun
Testing Differences Among Several Sample Means Multiple t Tests vs. Analysis of Variance.
Type I and Type III Sums of Squares. Confounding in Unbalanced Designs When designs are “unbalanced”, typically with missing values, our estimates of.
Using Statistics in Research Psych 231: Research Methods in Psychology.
1 Multifactor ANOVA. 2 What We Will Learn Two-factor ANOVA K ij =1 Two-factor ANOVA K ij =1 –Interaction –Tukey’s with multiple comparisons –Concept of.
POST HOC COMPARISONS What is the Purpose?
Two Groups Too Many? Try Analysis of Variance (ANOVA)
Additional HW Exercise 12.9 (a) The amount of air pressure necessary to crack tubing manufactured by a company is of interest. Mean pressure in hundreds.
DOCTORAL SEMINAR, SPRING SEMESTER 2007 Experimental Design & Analysis Further Within Designs; Mixed Designs; Response Latencies April 3, 2007.
Regression Approach To ANOVA
Repeated Measures ANOVA Used when the research design contains one factor on which participants are measured more than twice (dependent, or within- groups.
T WO W AY ANOVA W ITH R EPLICATION  Also called a Factorial Experiment.  Factorial Experiment is used to evaluate 2 or more factors simultaneously. 
T WO WAY ANOVA WITH REPLICATION  Also called a Factorial Experiment.  Replication means an independent repeat of each factor combination.  The purpose.
Two-Way Analysis of Variance STAT E-150 Statistical Methods.
SPSS Series 1: ANOVA and Factorial ANOVA
Repeated Measures Chapter 13.
Decomposition of Treatment Sums of Squares using prior information on the structure of the treatments and/or treatment groups.
Chapter 12: Introduction to Analysis of Variance
Repeated Measures ANOVA factorial within-subjects designs.
Psych 5500/6500 Other ANOVA’s Fall, Factorial Designs Factorial Designs have one dependent variable and more than one independent variable (i.e.
Introduction to 2-way ANOVA Statistics Spring 2005.
Analysis of Variance (One Factor). ANOVA Analysis of Variance Tests whether differences exist among population means categorized by only one factor or.
Analysis of RT distributions with R Emil Ratko-Dehnert WS 2010/ 2011 Session 07 –
CROSSOVER DESIGN Repeated Measures meets Latin Squares 1.
Stat 112 Notes 23. Quiz 4 Info 4 double sided sheets of notes Covers interactions, models with categorical variables and interactions, one way analysis.
Analysis of Variance II Interactions Post-Hoc. ANOVA What question are we asking? On a dependent variable, are several group means different from one.
Comparing k > 2 Groups - Numeric Responses Extension of Methods used to Compare 2 Groups Parallel Groups and Crossover Designs Normal and non-normal data.
ANOVA Overview of Major Designs. Between or Within Subjects Between-subjects (completely randomized) designs –Subjects are nested within treatment conditions.
Introduction to 2-way ANOVA Statistics Spring 2005.
Fixed effects analysis in a Two–way ANOVA. Problem 5.6 Layout.
©2013, The McGraw-Hill Companies, Inc. All Rights Reserved Chapter 4 Investigating the Difference in Scores.
Дисперсионный анализ ANOVA
What we give up to do Exploratory Designs 1. Hicks Tire Wear Example data 2.
Comparing Multiple Groups:
Repeated Measures Univariate Analysis.
Two-way ANOVA problems
ANalysis Of VAriance (ANOVA)
Repeated Measures ANOVA
Comparing Multiple Groups: Analysis of Variance ANOVA (1-way)
BIBD and Adjusted Sums of Squares
Gage R&R Estimating measurement components
Chapter 14 Repeated Measures
Three way ANOVA If there was One way then and Two way, then you knew that there had to be………
Repeated Measures ANOVA
Example Problem 3.24 Complete analysis.
Analysis of Variance (ANOVA)
Two Sample t-test vs. Paired t-test
Non-linear simultaneous equations
Homework Schultz, Dayan, & Montague, Science, 1997
Questions: Sesame Street Study
Chapter 14 Homework: problem 1
Randomized Complete Block and Repeated Measures (Each Subject Receives Each Treatment) Designs KNNL – Chapters 21,
One way ANOVA One way Analysis of Variance (ANOVA) is used to test the significance difference of mean of one dependent variable across more than two.
Surface renderings of the brain activation showing significant activation in the general mixed design ANOVA for the interaction between all three factors,
Review Questions III Compare and contrast the components of an individual score for a between-subject design (Completely Randomized Design) and a Randomized-Block.
Experimental Design I. Definition of Experimental Design
Psych 231: Research Methods in Psychology
Review Questions V A psychologist suspected that even if only two colours were used in the Droop experiment there would be both interference and facilitation:
Latin and Graeco-Latin Squares
Repeated Measures meets Latin Squares
Optogenetically stimulated Aβ fibers induce pain-like behaviors after PNI. A, B, Withdrawal score by light (A) and paw withdrawal threshold by von Frey.
Problem 3.26, when assumptions are violated
Two-way ANOVA problems
Presentation transcript:

Repeated Measures Univariate Analysis

Hicks Design of Experiment Example: Layout

Raw Data Pre: Check on Randomization

Raw Data Post: Check for Trt Effect

Refined Plots for Pre Scores

Can actually test Randomization with Pre scores

Refined Plots for Post Scores

Univariate Analysis Repeated Measures Have two error terms: S(G) and T Univariate Analysis Repeated Measures Have two error terms: S(G) and T*S(G)

Suppose Subject was deleted from the analysis

Model with Group and Test and Interaction

So what happened? When we drop terms from the model they go into… If we drop two terms from the model they go into… Since we now have only one error term, it is the combination of… So for some F-tests it is… For other F-tests it is… The means of those Main Effects and Interaction have not changed. but what did change was…

LS Means Plot Group

Interaction Plot

Tukey HSD on Interaction (be careful about the letters in JMP)

What if we only look at paired differences?

ANOVA on Paired Score Differences

Tukey HSD

Since a true Control Group exists, use Dunnett’s