The ANOVA family COM 631.

Slides:

Advertisements

Similar presentations

Repeated Measures/Mixed-Model ANOVA:

Advertisements

Chapter 13 and 14. Error  Type 1: False positive. The effect was not really present, but our statistics lead us to believe that it is.  Type 2: False.

Kruskal Wallis and the Friedman Test.

MANOVA Mechanics. MANOVA is a multivariate generalization of ANOVA, so there are analogous parts to the simpler ANOVA equations First lets revisit Anova.

Multiple Analysis of Variance – MANOVA

StatisticalDesign&ModelsValidation. Introduction.

ANCOVA Workings of ANOVA & ANCOVA ANCOVA, Semi-Partial correlations, statistical control Using model plotting to think about ANCOVA & Statistical control.

MANOVA: Multivariate Analysis of Variance

Chapter 18: The Regression Approach to ANOVA If an Independent Variable has only two levels — even if the two levels represent two qualitatively different.

Example: New scores on the Roberts Test of Agricultural Knowledge:

Factorial and Mixed Factor ANOVA and ANCOVA

Statistics for the Behavioral Sciences Two-Way Between-Groups ANOVA

Chapter 17 Making Sense of Advanced Statistical Procedures in Research Articles.

Lab Chapter 14: Analysis of Variance 1. Lab Topics: One-way ANOVA – the F ratio – post hoc multiple comparisons Two-way ANOVA – main effects – interaction.

Research methods and statistics

PSYC512: Research Methods PSYC512: Research Methods Lecture 19 Brian P. Dyre University of Idaho.

Lecture 16 Psyc 300A. What a Factorial Design Tells You Main effect: The effect of an IV on the DV, ignoring all other factors in the study. (Compare.

One-Way Analysis of Covariance One-Way ANCOVA. ANCOVA Allows you to compare mean differences in 1 or more groups with 2+ levels (just like a regular ANOVA),

What Is Multivariate Analysis of Variance (MANOVA)?

Intro to Statistics for the Behavioral Sciences PSYC 1900 Lecture 14: Factorial ANOVA.

Hypothesis Testing. Outline The Null Hypothesis The Null Hypothesis Type I and Type II Error Type I and Type II Error Using Statistics to test the Null.

ANCOVA Lecture 9 Andrew Ainsworth. What is ANCOVA?

MANOVA - Equations Lecture 11 Psy524 Andrew Ainsworth.

Statistical Power 1. First: Effect Size The size of the distance between two means in standardized units (not inferential). A measure of the impact of.

Analysis of Covariance, ANCOVA (GLM2)

MARE 250 Dr. Jason Turner Multiway, Multivariate, Covariate, ANOVA.

Chapter 18 Some Other (Important) Statistical Procedures You Should Know About Part IV Significantly Different: Using Inferential Statistics.

Two-Way Between Groups ANOVA Chapter 14. Two-Way ANOVAs >Are used to evaluate effects of more than one IV on a DV >Can determine individual and combined.

RESULTS & DATA ANALYSIS. Descriptive Statistics  Descriptive (describe)  Frequencies  Percents  Measures of Central Tendency mean median mode.

Statistics 101: The 95% Rule David Newman, PhD. Levels of Data Nominal Ordinal Interval Ratio Binary--- The Magic Variable Categorical Continuous.

Sociology 680 Multivariate Analysis: Analysis of Variance.

MANOVA Mechanics. MANOVA is a multivariate generalization of ANOVA, so there are analogous parts to the simpler ANOVA equations First lets revisit Anova.

Analysis of Covariance adjusting for potential confounds.

Adjusted from slides attributed to Andrew Ainsworth

Analysis of Covariance Combines linear regression and ANOVA Can be used to compare g treatments, after controlling for quantitative factor believed to.

Analysis of Covariance (ANCOVA)

Analysis of covariance. When… ANCOVA is an ‘extra’ on an ANOVA ANOVA outcome = number of words learned IV = Sex ANCOVA adds a covariate covariate = size.

ANCOVA. What is Analysis of Covariance? When you think of Ancova, you should think of sequential regression, because really that’s all it is Covariate(s)

Soc 3306a Lecture 7: Inference and Hypothesis Testing T-tests and ANOVA.

1 PSY6010: Statistics, Psychometrics and Research Design Professor Leora Lawton Spring 2007 Wednesdays 7-10 PM Room 204.

ANCOVA Workings of ANOVA & ANCOVA ANCOVA, partial correlations & multiple regression Using model plotting to think about ANCOVA & Statistical control Homogeneity.

ANOVA EDL 714, Fall Analysis of variance  ANOVA  An omninbus procedure that performs the same task as running multiple t-tests between all groups.

ANCOVA (adding covariate) MANOVA (adding more DVs) MANCOVA (adding DVs and covariates) Group Differences: other situations…

Topics, Summer 2008 Day 1. Introduction Day 2. Samples and populations Day 3. Evaluating relationships Scatterplots and correlation Day 4. Regression and.

Differences Among Groups

Two-Way Between Groups ANOVA Chapter 14. Two-Way ANOVAs Are used to evaluate effects of more than one IV on a DV Can determine individual and combined.

Univariate Statistics PSYC*6060 Class 11 Peter Hausdorf University of Guelph.

Hypothesis Testing.

Analysis of Variance -ANOVA

Analysis of Covariance, ANCOVA (GLM2)

Random and Mixed Effects ANOVA

Soc 3306a: ANOVA and Regression Models

Multi-Factor Studies KNNL – Chapter 24.

Play it Again and When Your Parameters Aren’t Metric

Multivariate Statistics

Chapter 3D Chapter 3, part D Fall 2000.

Soc 3306a Lecture 11: Multivariate 4

Random and Mixed Effects ANOVA

Non-parametric Analysis of the Variance in SAS®

ANOVA family Statistic’s name “Groups” DVs (which means are calculated for the groups) t-test one IV (binomial) one DV (I/R) F-test one IV (nominal) one.

Multivariate Analysis: Analysis of Variance

Multi-Factor Studies KNNL – Chapter 24.

Chapter 18: The Chi-Square Statistic

Analysis of covariance

Graziano and Raulin Research Methods: Chapter 12

Test criterion based on F distribution.

Multivariate Analysis: Analysis of Variance

Statistics 101 Chapter 8 Section 8.1 c and d.

Presentation transcript:

The ANOVA family COM 631

First, a review:

ANOVA: “Analysis of variance” COM 631

Again, why is it called “analysis of variance” when it’s the means that are being compared across groups? ANOVA

Mean = 30 Mean = 50 Note that each of the two colored groups has small variance.

Mean = 30 Mean = 50 Note that each of the two colored groups has larger variance than in the previous figure.

ANOVA family Name of Statistic/ Statistical Procedure “Groups” DVs (which means are calculated for the groups) Covariates? 1: t-test one IV (binomial) one DV (I/R) -- 2: F-test one IV (nominal) 3: Two-factor ANOVA two IVs (nom) 4: Multiple-factor ANOVA two+ IVs (nom) 5: MANOVA two+ DVs (I/R) 6: ANCOVA one+ covariates (controls) 7: MANCOVA

1: t-test… one IV (nominal/ binomial), one DV (I/R) X1 (Factor A) Y (nom/binomial) I/R 1: t-test… one IV (nominal/ binomial), one DV (I/R)

2: F-test… one IV (nominal), one DV (I/R) X1 (Factor A) Y (nominal) I/R 2: F-test… one IV (nominal), one DV (I/R)

3: Two-factor ANOVA… two IVs (nominal), one DV (I/R) X1 (Factor A) (nominal) X2 (Factor B) Y (nominal) (I/R) X1 x X2 Interaction (A x B Interaction) 3: Two-factor ANOVA… two IVs (nominal), one DV (I/R)

4: Multiple-factor ANOVA… two+ IVs (nominal), one DV (I/R) X1 (Factor A) (nominal) X2 (Factor B) X3 (Factor C) Y (nominal) (I/R) X1 x X2 Interaction (A x B Two-way Interaction) X1 x X3 Interaction (A x C Two-way Interaction) X2 x X3 Interaction (B x C Two-way Interaction) X1 x X2 x X3 Interaction (A x B x C Three-way Interaction) 4: Multiple-factor ANOVA… two+ IVs (nominal), one DV (I/R)

5: MANOVA… two+ IVs (nominal), two+ DVs (I/R) X1 (Factor A) (nominal) Y1 (I/R) Y2 (I/R) X2 (Factor B) Y3 (nominal) (I/R) X1 x X2 Interaction (A x B Interaction) 5: MANOVA… two+ IVs (nominal), two+ DVs (I/R)

6: ANCOVA… two+ IVs (nominal), one DV (I/R), one+ covariates (I/R) X1 (Factor A) Y (nominal) (I/R) X2 (Factor B) (nominal) X1 x X2 Interaction (A x B Interaction) 6: ANCOVA… two+ IVs (nominal), one DV (I/R), one+ covariates (I/R)

7: MANCOVA… two+ IVs (nominal), two+ DVs (I/R), one+ Covariates (I/R) Cov2 Y1 Cov3 (I/R) (I/R) Y2 (I/R) X1 (Factor A) Y3 (nominal) (I/R) X2 (Factor B) (nominal) X1 x X2 Interaction (A x B Interaction) 7: MANCOVA… two+ IVs (nominal), two+ DVs (I/R), one+ Covariates (I/R)

end