Statistical Design and the Analysis of Experiments

Instructor: | W. Robert Stephenson |

3111 Snedecor Hall | |

Phone: | 294-7805 |

email: | wrstephe@iastate.edu |

homepage: | www.public.iastate.edu/~wrstephe |

Office Hours: | M W F 10 to 10:50 am, T 1:10 to 2 pm |

and by appointment | |

Lecture: | M W F 11 to 11:50 am, Lagomarcino W 262 |

Text: | Introduction to Design and Analysis of Experiments. |

by George W. Cobb, Key College Publishing/Springer-Verlag 1998. |

**Homework Assignments**

- Homework 8 - Due April 25, 2014

Homework 8 solution

- Homework 7 - Due April 16, 2014.

Data for Completely Randomized Radar Experiment

Solution to Homework 7 - Homework 6 - Due March 28, 2014.

**Note you cannot do this assignment unless you have the materials handed out in class on Wednesday, March 12.**

Sample Solution to Homework 6 - Homework 5 - Due March 12, 2014.

JMP Data table for deflection of plastic forks and spoons

Solution to Homework 5 - Homework 4 - Due March 3, 2014.

JMP Data table for Cholesterol Drug Experiment

Solution to Homework 4 - Homework 3 - Due February 10, 2014

Solution to Homework 3 - Homework 2 - Due February 3, 2014.

Solution to Homework 2 - Homework 1 - Due January 29, 2014.

The Truth

Sample solution to Homework 1

** Project **

** Computing **

You can download JMP 10 Pro by going to www.stat.iastate.edu/resources/software/jmp/. You should be able to directly download and install JMP from there. Follow the detailed instructions for installation for either Windows or Mac. The software will work until June 30, 2014.

**Course Material and Handouts**

- Wednesday, April 2: Factorial crossing with a block design - Dental Pain Experiment

Lecture 28: Dental Pain Experiment

Relief of Post-operative Dental Pain

- Monday, April 7: Analysis of Dental Pain Experiment

Lecture 29: Analysis of Dental Pain Experiment

JMP data table with Dental Pain data

JMP Analysis of Dental Pain Experiment - Wednesday, April 9: More on Factorial Crossing/Designs.

Lecture 30: More on Factorial Crossing/Designs

Does significance of treatments imply a significant factor or interaction?

Parameter Estimates and Estimated Effects - Friday, April 11: Split plot design - Soybean varieties and insecticides.

Lecture 31: Split Plot/Repeated Measures Designs - Monday, April 14: Repeated measures design - Exam aids and type of exam.

Lecture 31: Split Plot/Repeated Measures Designs - Wednesday, April 16: Split plot/Repeated measures - Time and solitary confinement.

Lecture 32: Solitary confinement experiment.

Solitary Confinement(Split Plot Design/Repeated Measures) - Friday, April 18: JMP analysis of a split plot/repeated measures design

Lecture 33: Analysis: Solitary Confinement

JMP data table with Solitary Confinement data

JMP Analysis of Solitary Confinement Experiment (Split Plot Design)

Lecture 34: More Analysis: Solitary Confinement

More JMP Analysis of the Solitary Confinement Experiment (Split Plot Design)

- Monday, April 21: Analysis of residuals for a Split Plot/Repeated Measures Design

Lecture 35: Residuals - Solitary Confinement

Residuals for the Solitary Confinement Experiment

Analysis of Alternative Prisoner Study - Wenesday, April 23: Three way factorial - randomized complete block design

Lecture 37: Three way factorial - RCBD

Tool Wear Experiment

JMP Analysis of Tool Wear Experiment - Friday, April 25: Using centerpoints to estimate random error variation.

Lecture 38: Center Points

Bread Wrapper Strength Experiment

- Monday, April 28: Analysis using center points

Lecture 39: Analysis using Center Points

JMP analysis of the Bread Wrapper Experiment

- Wednesday, April 30: Analysis of Swimming Experiment

Swimming Experiment

Swimming Experiment: Normal Plot of Estimated Full Effects

Using JMP - Fit Y by X to Create a Normal Plot

JMP Analysis of Swimming Experiment - Friday, May 2: Alternative estimates of random error variation
**Material for the second exam - Friday, April 4, 2014** - Monday, February 17: Multiple Comparisons

Lecture 15: Multiple Comparisons - Wednesday, February 19: Factorial Crossing

Lecture 16: Factorial Crossing

- Friday, February 21: Go over Exam 1: Informal analysis.

Lecture 17: Recall Experiment - Setup

Recall Experiment

JMP Data Table for Recall Experiment. - Monday, February 24: Estimating effects, formal analysis.

Lecture 18:Factorial - Analysis - Wednesday, February 26: Tests for factor and interaction effects.

Lecture 19: Factorial - Analysis Continued

JMP Fit Model for Recall Experiment

- Friday, February 28: Multiple comparisons, residuals

Lecture 20: Factorial - Multiple Comparisons, Residuals

Comparisons of Treatment Means

Analysis of residuals for Recall Experiment - Monday, March 3: Contrasts.

Lecture 21: Contrasts

Contrasts for Recall Experiment

Orthogonal Polynomial Contrasts - Wednesday, March 5: Blocking Basics

Lecture 22: Blocking Basics - Friday, March 7: Blocking - How to form blocks?

Lecture 23: Forming Blocks

- Monday, March 10: Blocking - How to form blocks?(continued)

Lecture 23: Forming Blocks - Wednesday, March 12: Analysis of the torque on knee experiment

Lecture 24: Analysis of Block Designs

JMP Data Table for Torque on Knee

Incorrect and Correct Analyses of Torque on Knee Data

- Friday, March 14:
**No Class** - Monday, March 24: More than one observation per block; Advantages and Disadvantages of Block Designs

Lecture 25: More on Block Designs

Variation on the Torque on Knee Experiment

Randomized Complete Block Designs

- Wednesday, March 26: Latin square design - randomization

Lecture 26: Latin Square Design

Movie Appeal (Latin Square Design) - Friday, March 28: Analysis of the movie appeal experiment

Lecture 27: Latin Square Analysis

JMP Analysis of Movie Appeal Experiment (Latin Square Design)

**Material for the first exam - Friday, February 14, 2014** - Monday, January 13: Introduction, What makes a study and experiment?

Syllabus, Spring 2014

Student Questionnaire

Lecture 1: Introduction - Wednesday, January 15: Three Basic Principles: Control, Replication and Randomization.

Lecture 2: 3 Principles - Friday, January 17: Randomization. Comparing two independent samples.

Blood Pressure Experiment

Lecture 3: Randomization - Monday, January 20: No Class - University Holiday
- Wednesday, January 22: Two Sample t-test

Using JMP to analyze data from the Blood Pressure Experiment

JMP Output for Blood Pressure Experiment

Lecture 4: Two-sample t - Friday, January 24: Chapter 1 - Confidence intervals, Three Decisions

Lecture 5: CI's, Three Decisions - Monday, January 27: Chapter 2 - Three sources of variability, three kinds of variability, accuracy and precision

Lecture 6: Variability. - Wednesday, January 29: Chapter 2 - Models and Conditions; Chapter 3 - Analysis of Variance.

Lecture 7: Models, Conditions, Analysis - Friday, January 31: Chapter 3 - Analysis of Variance.

Lecture 8: Analysis of Variance

ANOVA - Monday, February 3: Chapter 3 - Confidence Intervals and residuals.

Lecture 9: Confidence Intervals and Residuals.

Plots of Residuals. - Wednesday, February 5: Chapter 4 - Decisions on the content of the experiment: Response, conditions, experimental material.

Lecture 10: Response and Conditions.

Lecture 11: Experimental Material.

- Friday, February 7: Chapter 5 - Basic Factorial Design

Sample size tables: see*Journal of Quality Technology*, Vol. 17, No. 3, July, 1985, p 168-169.

Lecture 12: Popcorn Experiment

Sample size tables - Monday, February 10: Popcorn Experiment Analysis

Lecture 13: Analysis of Popcorn Experiment

Popcorn Experiment

JMP data set for Popcorn Experiment

- Wednesday, February 12: Residuals; Advantages and Disadvantanges of a Completely Randomized Design

Lecture 14: Comparisons and Residuals

Completely Randomized Design - Friday, February 14: Exam 1

** Exam Material **

- Exam 1 - Friday, February 14, 2014
- Things to know and formulas for Exam 1

Takehome problem for the first exam, February 14, 2014 - Sample Exam 1 Spring 2011

JMP output for Lipitor Experiment

- Summary of results for Exam 1, Spring 2014

Summary of results for Exam 1, Spring 2013

- Things to know and formulas for Exam 1
- Exam 2 - Friday, April 4, 2014
- Things to know and formulas for Exam 2

Takehome problems for the second exam, April 4, 2014 - Sample Exam 2 Spring 2011

JMP Output for Stepping Experiment

- Summary of results for Exam 2, Spring 2014

Summary of results for Exam 2, Spring 2013

- Things to know and formulas for Exam 2
- Final Exam -
**Tuesday, May 6, 2014 from 9:45 to 11:45 am**