Homework 8 solutions
Stat 470, Fall 2016
Problem 1. Consider Problem (Q5.9) you did in homework 7. Draw the response surface for
thrust using the code you learned in Lab 10. Use the following regressi
Stat 470 HW4 Solution
1.
(i) The standardized residual plot in Figure (1) shows some large residual values that might
indicate presence of outliers. The normal probability plot (Figure 1) shows that t
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
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 a
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
Stat 470 HW4 Solution
1.
(i) The standardized residual plot in Figure (1) shows some large residual values that might
indicate presence of outliers. The normal probability plot (Figure 1) shows that t
Stat 470 HW 1 Solution
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
Stat 470 Fall 2016 HW 5 Solution
3.26
(a)Our hypotheses are: H0 : 1 = 2 = 3 vs. H1 : At least one i is different from another.
Our test statistic is: F = 38.34 F2,12 .
Our p-value is: 6.141 106 .
Our
Stat 470 F17 HW 5 Solution
3.30
(a)Our hypotheses are: H0 : 1 = 2 = 3 vs. H1 : At least two i are different from each other.
Our test statistic is: F = 38 : 338 F2,12 .
Our p-value is: 6.141 106 .
Our
Stat 470 Fall 2017
Homework 6 Solution
Problem 1. Q3.57
a) Normal equations are given by minimizing
=
3
3
5
2
=1 =1
5
3
. = 0
=1
2
min ( )
=1 =1
So the nor mal equations are given as
1.
3
. = 0
=1
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 w
STAT 470 F17
Wrap UP!
Starting with a corny joke
Why are open source statistical
programming languages the best?
Because they R.
From tea-tasting experiment to your project
Tea-tasting: experiment des
STATS 470 001: Introduction to the Design of Experiments
FALL 2017
Instructor:
Dr. Shyamala Nagaraj, shyamnk, 270 West Hall, 734-764-5493
GSIs:
Anwesha Bhattacharya, [email protected]
Hyesun Yoo, yooh
Stat 470 Fall 2017
Chap 2 Part 1
Tests for Means of One or Two Populations
Data analysis and inference: One
Population
Population
Model
Inference: estimation and hypothesis tests
random or
randomize
S
Stat 470 Final Sampler
Some sample questions (or parts of a question) and their solutions (in some cases) are
provided below. They are only a guide as to how questions may be worded. The purpose
of po
Stat 470 HW 2 Solution
2.25
We assume the breaking strength of two types of plastic are both normal. Our hypotheses
1 y2 10
are: H0 : 1 2 = 10; H1 : 1 2 > 10 Test statistic: Z0 = yr
= 5.8387
2
2
1
+ n
Stat 470 HW 1 Solution
Problem 1: Refer to the lady tasting tea experiment. Read the two articles
posted on CTools. Then answer the following questions: (1) Suppose Miss Bristol
was able to identify 6
Stat 470 HW 7 Solution
Solution to Problem 1, Q 5.9:
(1) The boxplots in Figure 1 show that there are differences across treatment levels of Drill
Speed and of Feed Rate. The spread varies across the
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
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 a
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
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 (S
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
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
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
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.
Shyamala Nagaraj
1
Part 3: Diagnos.cs, es.ma.on and interpreta.on (Secs
3.4, 3.5)
Diagnos.cs (are assump.ons reasonable?)
Point and Interval Es.ma.on
Hypothesis Tests (if ANOVAs F test is sign