Homework 4
Review Sections 3.1, 3.2, 3.3, 3.4, 3.5; my notes, Chap 3, Parts 1 to 3 and Lab 5.
Practice problems: 3.1, 3.2, 3.3
Problems for submission:
Problem 1
Suppose that you are planning to run an experiment with one treatment factor having five
leve
Stat 470 Fall 2013
Homework 6
Review Sections 4.1; my notes, Chap 4, slides 1- 28 and Lab 7.
Problem 1. Q3.4, 4.2
Q 3.4. A computer ANOVA output is shown below. Fill in the blanks. You may give bounds on the Pvalue.
Source
Factor
Error
Total
DF
?
25
29
SS
Lady Tasting Tea1
R. A. Fisher was one of the founding fathers of modern statistics. One of his early, and perhaps
the most famous, experiments was to test an English ladys claim that she could tell whether milk
was poured before tea or not. Heres an acco
A Laboratory Guide for
Stat 470: Introduction to Design of Experiments
LAB 2: Population distributions and sampling distributions
Objective:
a) To understand the difference between a population distribution and a sampling
distribution; and
b) The effect o
STAT 470: Introduction to the Design of Experiments
FALL 2013
Instructor:
Dr. Shyamala Nagaraj
270 West Hall, 734-764-5493, shyamnk@umich.edu
GSIs: Pramita Bagchi, pramita@umich.edu,
Nirupam Chakrabarty, nirupamc@umich.edu
Calendar Commitments:
Lectures:
A Laboratory Guide for
Stat 470: Introduction to Design of Experiments
LAB 1: introduction to R and the decomposition of the sums of squares
Purpose of Lab 1: Introduction to R and the summation sign. This lab guide provides
a brief note on R and examples
Design of experiments with a single factor: two
examples (Sec 3.1)
Model and es=ma=on (Secs 3.2, 3.3)
ANOVA, diagnos=cs and interpreta=on (Secs 3.4, 3.5)
Sample size and power (Sec 3.7)
A real applica=on (Sec 3
Stat 470
Fall 2012
Chap 2 Part 3
Models for one and two samples: Least squares Estimation
These notes deal with estimation of the parameters of a model by least
squares. The relationship between the res
Review of analysis for two samples
Sample size determination
The diameter of a ball-bearing was
measured using two different types of
calipers
> y1
[1] 0.265 0.265 0.266 0.267 0.267 0.265 0.267
0.267 0.265 0.268 0.268 0.265
> y2
[1] 0.264 0.265 0.264 0.26
Part 1: Experiments with a single factor: two examples
(Sec 3.1)
Part 2: Analysis of variance (Secs 3.2, 3.3)
Part 3: Diagnostics and interpretation (Secs 3.4, 3.5)
Part 4: Least squares and ANOVA (Secs 3.3, 3.10)
Part 5: Sample size and power (Sec 3.7)
Stat 470
Introduction
What we will do today
An introduction to us
Introduction to the course and its
management
About R and Stat 470
Why take a course on experimental
design?
An introduction to us
You and me
My name: Shyamala Nagaraj
You and your GSI
Stat
Stat 470 Fall 2012
Chap 2 Part 1
Review of analysis for a single sample
Review of analysis for a single sample
A review of statistical concepts for a single sample
Looking at data
Review of sampling and sampling distributions
Inference: estimation, confid
Stat 470 Fall 2013
Designing an experiment
Aspects of an Experimental Design
Objective of study, critical in setting up an appropriate design and
all its aspects.
Response variable, what are we going to use to achieve our
objective of study?
Factors and l
Stat 470 Fall 2016
Homework 1
Problem 1
Refer to the lady tasting tea experiment. Read the two articles posted on Canvas. Then answer
the following questions:
(1) Suppose Miss Bristol was able to identify 6 out the 8 cups correctl