Analgesic study with three treatments crossed with gender.

Slides:

Advertisements

Similar presentations

Simple linear models Straight line is simplest case, but key is that parameters appear linearly in the model Needs estimates of the model parameters (slope.

Advertisements

Topic 12: Multiple Linear Regression

Analysis of Variance Compares means to determine if the population distributions are not similar Uses means and confidence intervals much like a t-test.

Regression Analysis Once a linear relationship is defined, the independent variable can be used to forecast the dependent variable. Y ^ = bo + bX bo is.

ANOVA example 4 Polychlorinated biphenyls (PCBs) previously used in the manufacture of large electrical transformers and capacitors, are extremely hazardous.

1.Basic Principles & Definitions 2.The Advantage 3.Two-Factorial Design 4.Number of Replicates 5.General Factorial Design 6.Response Surfaces & Contour.

Popcorn!!!. Data Set Popcorn Oil amt. Batch Yield plain little large 8.2 gourmet little large 8.6 plain lots large 10.4 gourmet lots large 9.2 plain little.

Analgesic study with three treatments crossed with gender.

JMP output. Circuit Design Noise

Fixed effects analysis in a Two–way ANOVA. Problem 5.6 ANOVA Effect Tests Source DF Sum of Squares F Ratio Prob > F Phos. Type *

ANOVA notes NR 245 Austin Troy

REGRESSION Want to predict one variable (say Y) using the other variable (say X) GOAL: Set up an equation connecting X and Y. Linear regression linear.

Basics of ANOVA Why ANOVA Assumptions used in ANOVA

LARGE SAMPLE TESTS ON PROPORTIONS

Lecture 9: One Way ANOVA Between Subjects

Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide Are the Means of Several Groups Equal? Ho:Ha: Consider the following.

13-1 Designing Engineering Experiments Every experiment involves a sequence of activities: Conjecture – the original hypothesis that motivates the.

13 Design and Analysis of Single-Factor Experiments:

Checking Regression Model Assumptions NBA 2013/14 Player Heights and Weights.

Testing Group Difference

The Chi-Square Distribution 1. The student will be able to  Perform a Goodness of Fit hypothesis test  Perform a Test of Independence hypothesis test.

PS 225 Lecture 15 Analysis of Variance ANOVA Tables.

Basics of ANOVA Why ANOVA Assumptions used in ANOVA Various forms of ANOVA Simple ANOVA tables Interpretation of values in the table Exercises.

Randomized completely Block design(RCBD). In this design we are interested in comparing t treatment by using b blocks.

Multiple Regression and Model Building Chapter 15 Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin.

Inference for Regression Simple Linear Regression IPS Chapter 10.1 © 2009 W.H. Freeman and Company.

12.1 WS Solutions. (b) The y-intercept says that if there no time spent at the table, we would predict the average number of calories consumed to be

Goodness-of-Fit Chi-Square Test: 1- Select intervals, k=number of intervals 2- Count number of observations in each interval O i 3- Guess the fitted distribution.

RDPStatistical Methods in Scientific Research - Lecture 21 Lecture 2 Regression relationships 2.1 The influence of actual widths of the anorexics 2.2 Testing.

Multiple Regression BPS chapter 28 © 2006 W.H. Freeman and Company.

How to use a covariate to get a more sensitive analysis.

© Buddy Freeman, Independence of error assumption. In many business applications using regression, the independent variable is TIME. When the data.

STATISTICAL ANALYSIS FOR THE MATHEMATICALLY-CHALLENGED Associate Professor Phua Kai Lit School of Medicine & Health Sciences Monash University (Sunway.

Problem 3.26, when assumptions are violated 1. Estimates of terms: We can estimate the mean response for Failure Time for problem 3.26 from the data by.

Analysis of RT distributions with R Emil Ratko-Dehnert WS 2010/ 2011 Session 07 –

Copyright © 2013, 2009, and 2007, Pearson Education, Inc. Chapter 14 Comparing Groups: Analysis of Variance Methods Section 14.3 Two-Way ANOVA.

Lecture 3 Linear Models II Olivier MISSA, Advanced Research Skills.

PCB 3043L - General Ecology Data Analysis.

Guide to Using Minitab 14 For Basic Statistical Applications To Accompany Business Statistics: A Decision Making Approach, 8th Ed. Chapter 13: Goodness-of-Fit.

Introduction to ANOVA Research Designs for ANOVAs Type I Error and Multiple Hypothesis Tests The Logic of ANOVA ANOVA vocabulary, notation, and formulas.

Scatter Plots. Scatter plots are used when data from an experiment or test have a wide range of values. You do not connect the points in a scatter plot,

Fixed effects analysis in a Two–way ANOVA. Problem 5.6 Layout.

Interpretation of Common Statistical Tests Mary Burke, PhD, RN, CNE.

What we give up to do Exploratory Designs 1. Hicks Tire Wear Example data 2.

F73DA2 INTRODUCTORY DATA ANALYSIS ANALYSIS OF VARIANCE.

The “Big Picture” (from Heath 1995). Simple Linear Regression.

The Chi Square Test A statistical method used to determine goodness of fit Chi-square requires no assumptions about the shape of the population distribution.

Cross Tabulation with Chi Square

Statistical Quality Control, 7th Edition by Douglas C. Montgomery.

Least Square Regression

Multiple comparisons

Two-way ANOVA problems

Least Square Regression

Y - Tests Type Based on Response and Measure Variable Data

Part Three. Data Analysis

Chapter 5 Introduction to Factorial Designs

Analgesic study with three treatments crossed with gender.

Three way ANOVA If there was One way then and Two way, then you knew that there had to be………

Example Problem 3.24 Complete analysis.

How to use a covariate to get a more sensitive analysis

So far --> looked at the effect of a discrete variable on a continuous variable t-test, ANOVA, 2-way ANOVA.

Two-way analysis of variance (ANOVA)

Practice As part of a program to reducing smoking, a national organization ran an advertising campaign to convince people to quit or reduce their smoking.

Latin and Graeco-Latin Squares

2k Factorial Design k=2 Ex:.

How to use a covariate to get a more sensitive analysis

Repeated Measures meets Latin Squares

Problem 3.26, when assumptions are violated

Two-way ANOVA problems

Presentation transcript:

Analgesic study with three treatments crossed with gender.

Data on pain and factor levels maleC12.4 femaleA7.69 maleC14.0 femaleA9.69 maleC11.6 femaleA8.89 femaleA6.94 femaleA2.13 femaleA7.26 femaleA5.87 maleB12.9 femaleC12.2 femaleA7.20 maleC13.9 maleA8.18 maleB16.6 femaleC9.41 maleC11.2 femaleB8.35 maleA7.24 femaleA6.81 maleB9.81 femaleA6.67 femaleA6.98 femaleA7.07 femaleC2.40 maleB7.84 femaleB3.84 maleB9.42 maleA7.00 femaleA5.00 maleA8.00

ANOVA table SourceDFSum of Squares F Ratio Prob > F gender * drug * drug*gender

Range Test on Drug LevelLeast Sq Mean CA BAB A B Levels not connected by same letter are significantly different.

Interaction plots

Residual by Predicted

Normal Plot

Goodness of Fit for Normality Goodness-of-Fit Test Shapiro-Wilk W Test W Prob<W Note: Ho = The data is from the Normal distribution. Small p-values reject Ho.