Jeopardy! 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 One-Way ANOVA Correlation & Regression Plots.

Slides:



Advertisements
Similar presentations
Correlation and regression Dr. Ghada Abo-Zaid
Advertisements

Analysis of variance (ANOVA)-the General Linear Model (GLM)
Chapter Fourteen The Two-Way Analysis of Variance.
Regression Analysis Once a linear relationship is defined, the independent variable can be used to forecast the dependent variable. Y ^ = bo + bX bo is.
Factorial and Mixed Factor ANOVA and ANCOVA
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.
C82MST Statistical Methods 2 - Lecture 4 1 Overview of Lecture Last Week Per comparison and familywise error Post hoc comparisons Testing the assumptions.
Chapter 15 (Ch. 13 in 2nd Can.) Association Between Variables Measured at the Interval-Ratio Level: Bivariate Correlation and Regression.
The Two Factor ANOVA © 2010 Pearson Prentice Hall. All rights reserved.
Review: T test vs. ANOVA When do you use T-test ? Compare two groups Test the null hypothesis that two populations has the same average. When do you use.
January 6, afternoon session 1 Statistics Micro Mini Multiple Regression January 5-9, 2008 Beth Ayers.
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.
Two Groups Too Many? Try Analysis of Variance (ANOVA)
Correlation and Regression. Correlation What type of relationship exists between the two variables and is the correlation significant? x y Cigarettes.
Lecture 15 Psyc 300A. Example: Movie Preferences MenWomenMean Romantic364.5 Action745.5 Mean55.
Multiple Linear Regression
Analysis of Variance & Multivariate Analysis of Variance
Factorial Designs More than one Independent Variable: Each IV is referred to as a Factor All Levels of Each IV represented in the Other IV.
Running Fisher’s LSD Multiple Comparison Test in Excel
Factorial Analysis of Variance II Follow up tests More fun than a rub down with a cheese grater 1.
McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. Business Statistics: Communicating with Numbers By Sanjiv Jaggia.
Understanding the Two-Way Analysis of Variance
Two-Way Analysis of Variance STAT E-150 Statistical Methods.
Leedy and Ormrod Ch. 11 Gray Ch. 14
Statistics for the Social Sciences Psychology 340 Fall 2013 Thursday, November 21 Review for Exam #4.
LEARNING PROGRAMME Hypothesis testing Intermediate Training in Quantitative Analysis Bangkok November 2007.
Hypothesis Testing in Linear Regression Analysis
Factorial Design Two Way ANOVAs
SPSS Series 1: ANOVA and Factorial ANOVA
Correlation and Regression. The test you choose depends on level of measurement: IndependentDependentTest DichotomousContinuous Independent Samples t-test.
Review: T test vs. ANOVA When do you use T-test ?
Statistics Definition Methods of organizing and analyzing quantitative data Types Descriptive statistics –Central tendency, variability, etc. Inferential.
Comparing Several Means: One-way ANOVA Lesson 15.
© Copyright McGraw-Hill CHAPTER 12 Analysis of Variance (ANOVA)
Multivariate Analysis. One-way ANOVA Tests the difference in the means of 2 or more nominal groups Tests the difference in the means of 2 or more nominal.
Lab 5 instruction.  a collection of statistical methods to compare several groups according to their means on a quantitative response variable  Two-Way.
Hypothesis testing Intermediate Food Security Analysis Training Rome, July 2010.
 Slide 1 Two-Way Independent ANOVA (GLM 3) Chapter 13.
1 Analysis of Variance ANOVA COMM Fall, 2008 Nan Yu.
Multiple Regression BPS chapter 28 © 2006 W.H. Freeman and Company.
Social Science Research Design and Statistics, 2/e Alfred P. Rovai, Jason D. Baker, and Michael K. Ponton Within Subjects Analysis of Variance PowerPoint.
Educational Research Chapter 13 Inferential Statistics Gay, Mills, and Airasian 10 th Edition.
Correlation & Regression Chapter 15. Correlation It is a statistical technique that is used to measure and describe a relationship between two variables.
ITEC6310 Research Methods in Information Technology Instructor: Prof. Z. Yang Course Website: c6310.htm Office:
Chapter 13 - ANOVA. ANOVA Be able to explain in general terms and using an example what a one-way ANOVA is (370). Know the purpose of the one-way ANOVA.
Political Science 30: Political Inquiry. Linear Regression II: Making Sense of Regression Results Interpreting SPSS regression output Coefficients for.
Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 14 Comparing Groups: Analysis of Variance Methods Section 14.3 Two-Way ANOVA.
Lesson Two-Way ANOVA. Objectives Analyze a two-way ANOVA design Draw interaction plots Perform the Tukey test.
Mixed ANOVA Models combining between and within. Mixed ANOVA models We have examined One-way and Factorial designs that use: We have examined One-way.
General Linear Model.
Multivariate Analysis: Analysis of Variance
Final Test Information The final test is Monday, April 13 at 8:30 am The final test is Monday, April 13 at 8:30 am GRH102: Last name begins with A - I.
Soc 3306a Lecture 7: Inference and Hypothesis Testing T-tests and ANOVA.
Social Science Research Design and Statistics, 2/e Alfred P. Rovai, Jason D. Baker, and Michael K. Ponton Between Subjects Analysis of Variance PowerPoint.
Handout Twelve: Design & Analysis of Covariance
Handout Eight: Two-Way Between- Subjects Design with Interaction- Assumptions, & Analyses EPSE 592 Experimental Designs and Analysis in Educational Research.
Outline of Today’s Discussion 1.Introduction to Factorial Designs 2.Analysis of Factorial Designs 3.Hypotheses For Factorial Designs 4.Eta Squared and.
© 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 1 Chapter 11 Testing for Differences Differences betweens groups or categories of the independent.
SUMMARY EQT 271 MADAM SITI AISYAH ZAKARIA SEMESTER /2015.
Chapter 9 Two-way between-groups ANOVA Psyc301- Spring 2013 SPSS Session TA: Ezgi Aytürk.
Interpretation of Common Statistical Tests Mary Burke, PhD, RN, CNE.
Analysis, Interpretation and Reporting Portfolio
Choosing and using your statistic. Steps of hypothesis testing 1. Establish the null hypothesis, H 0. 2.Establish the alternate hypothesis: H 1. 3.Decide.
Posthoc Comparisons finding the differences. Statistical Significance What does a statistically significant F statistic, in a Oneway ANOVA, tell us? What.
Inferential Statistics Psych 231: Research Methods in Psychology.
CHAPTER 15: THE NUTS AND BOLTS OF USING STATISTICS.
Scatter Plots and Correlation
Interactions & Simple Effects finding the differences
Exercise 1 Use Transform  Compute variable to calculate weight lost by each person Calculate the overall mean weight lost Calculate the means and standard.
Chapter 14 Multiple Regression
Presentation transcript:

Jeopardy! One-Way ANOVA Correlation & Regression Plots and Graphs Factorial ANOVA Hodgepodge Final Jeopardy

Question Answer FINAL JEOPARDY ANSWER: This is why we need ANOVA with more than two groups (AKA why we can’t just run multiple t-tests to make all of the comparisons between groups). QUESTION: What is because it controls for rising α, α inflation, or increases familywise error rate?

Question Answer One-way ANOVA 100 ANSWER: For ANOVA, these will always be the null and alternative hypotheses respectively. QUESTION: What is H 0 : all of the means are equal (or µ 1 = µ 2 = µ 3 = µ k ) H A : all of the means are not equal?

Question Answer One-way ANOVA 200 ANSWER: This is the conclusion that you would draw and what your next step would be. QUESTION: What is conclude that there are differences among the groups (reject H 0 ) and look at multiple comparisons table to see which groups are significantly different from one another.

Question Answer One-way ANOVA 300 ANSWER: This would be my next step if got this SPSS output for a one-way ANOVA. QUESTION: What is STOP and conclude that there are no differences among the groups (AKA retain H 0 )?

Question Answer One-way ANOVA 400 ANSWER: This is the prerequisite that must be met before looking at the results of following table. QUESTION: What is the F test in the ANOVA table has to be significant (p <.05).

Question Answer One-way ANOVA 500 ANSWER: Assuming F is significant, there would be significant differences between the following groups. QUESTION: What is students who study an average of 1-3 hours/week and those who study 3-6 hrs/wk and 1-3 and 3- 6 hrs/wk?

Question Answer ANSWER: This is Pearson’s r. QUESTION: What is r =.04 (.035)? Correlation & Regression 100

Question Answer Correlation & Regression 200 ANSWER: You look at the correlation between average hrs/wk students spend in the library and average hrs/wk in the gym, and r = This would be your interpretation. QUESTION: What is this is a moderately strong negative correlation, as amount of time spent in library goes up, rec goes down and vice versa?

Question Answer Correlation & Regression 300 ANSWER: You think that satisfaction with Miami’s IT services will predict satisfaction with the library resources available on campus. In a regression, this would be your IV and DV respectively. QUESTION: What is IV = IT services and DV = Library resources?

Question Answer Correlation & Regression 400 ANSWER: You do a regression predicting perceptions that Miami courses are rigorous from satisfaction with library resources. The slope, intercept and regression equation would be the following. QUESTION: What is slope =.46, intercept = 3.86, equation is Y´ =.46X ?

Question Answer Correlation & Regression 500 ANSWER: You do a regression predicting perceptions that Miami courses are rigorous from satisfaction with library resources and obtain the following equation: Y´ =.46X This is how you would interpret the slope. QUESTION: What is for every one-unit increase [decrease] in satisfaction with library resources, there will be a 0.46 increase [decrease] in the perception that Miami courses are rigorous.

Question Answer Plots and Graphs 100 ANSWER: In two-way ANOVA, a plot where the lines on the graph are not parallel indicates this. QUESTION: What is an interaction?

Question Answer Plots and Graphs 200 ANSWER: The effects shown in this plot. QUESTION: What is a main effect of both gender and class rank with NO interaction?

Question Answer Plots and Graphs 300 ANSWER: These are the effects shown in this plot. QUESTION: What is two main effects and an interaction?

Question Answer Plots and Graphs 400 ANSWER: The types of effects you see in this plot. QUESTION: What is a main effect of Greek involvement only?

Question Answer Plots and Graphs 500 ANSWER: The type of relation depicted here (Hint: think correlation) QUESTION: What is a negative correlation or relation?

Question Answer Factorial ANOVA 100 ANSWER: This is the effect of just one of your factors collapsing across and ignoring the levels of the other factor. QUESTION: What is a main effect?

Question Answer Factorial ANOVA 200 ANSWER: When the effect of one of your factors is different across the levels of another factor, this type of relationship is said to exist. QUESTION: What is an interaction?

Question Answer Factorial ANOVA 300 ANSWER: You one a two-way ANOVA and get the following results. These are the effects that are significant. QUESTION: What is both main effects but NOT the interaction?

Question Answer Factorial ANOVA 400 ANSWER: You perform a 2(gender) × 4(class rank) ANOVA. These are the variable(s) that require post hoc tests. QUESTION: What is class rank?

Question Answer Factorial ANOVA 500 ANSWER: When the interaction is not significant (p >.05) your interpretation should focus on this. QUESTION: What are the significant main effects.

Question Answer Hodgepodge 100 ANSWER: This is the purpose of post hoc tests (e.g., Fisher’s LSD, Tukey’s HSD). QUESTION: What is they enable us to identify specific differences between 3 or more groups without raising α?

Question Answer Hodgepodge 200 ANSWER: In two-way ANOVA, the circumstance under which you run post hoc tests for a factor. QUESTION: What is when the factor consists of more than 2 groups or levels)?

Question Answer Hodgepodge 300 ANSWER: This is what it means to say have a 3 × 2 design. QUESTION: What is we have two factors with three groups or levels of the first factor and 2 groups or levels of the second factor?

Question Answer Hodgepodge 400 ANSWER: A researcher using math SAT scores (pre-admittance) to predict students’ subsequent grades in college math classes. This is my IV and DV. QUESTION: What is my IV=SAT scores and my DV= grades in college math classes.

Question Answer Hodgepodge 500 ANSWER: If X is the IV (satisfaction with Miami libraries) and Y is the DV (rated rigor of Miami courses), this would be the predicted value of y when X = 4.23: Y´ =.46X QUESTION: What is Y´ =.46(4.23) = 5.81?