One-way ANOVA
The concept of an ANOVA
The one-way ANOVA model
Assumptions
The F test
CI estimate of the ith mean
CI estimate of the difference of 2 means
Bonferoni and Tukey estimates
Two-way ANOVA
The two-way ANOVA model
Assumptions
The F test
Simple Linear Regression
Least Square Curve Fitting
1
Purpose
Assume that two quantitative variables that are measured on the
same items are sampled from a population. We get n pairs of
observations: (x1, y1),(xn,yn)
Our aim is to develop a model that can
Chapter 4
Fitting a Line by Least Squares
Principles
Coefficients
Interpreting the slope
Measures of Fit
Coefficient of Determination
Correlation coefficient
Residuals
Definition
Plotting Residuals
Fitting Curves and Surfaces
Basic Polynomial Equa
Note: I will discuss this material during our class on September 20.
Chapter 5
Basic Definitions
Experiment
Outcome
Sample Space
Event
Probability
Definition
Axioms of Probability
Mutually Exclusive/ Non- mutually Exclusive
Independent / Dependent
Chapter 1
Basic Terminology
Observational Study
1. Investigator is passive
2. Collect, record data w no intervention
Experimental Study
1. Investigator is active
2. Process variables are manipulated
3. see example on page 3
Enumerative Study
1. Collect
INTRODUCTION TO
HYPOTHESIS
TESTING
1
PURPOSE
A hypothesis test allows us to draw
conclusions or make decisions
regarding population data from sample
data.
2
The Logic of Hypothesis
Tests
Assume a population distribution with a specified
population mean.
S
Chapter 6
Large Sample Confidence Interval Estimates of the Population Mean
Interval estimates
Confidence bounds
Hypothesis Testing for Large Samples
Forming the null and alternative hypotheses
Determining the test statistic
Determining the p-value
Consid
Quantile-Quantile Plot (Q-Q Plot)
Quantile
The p quantile is the point associated with a data set such that
p% of the values in a data set are below the point.
If p is the twentieth or 0.2 quantile, 20% of the values in the data set fall below p.
Calculat
Normal Distributions
Family of distributions, all with the same
general shape.
Symmetric about the mean
The y-coordinate (height) specified in
terms of the mean and the standard
deviation of the distribution
normal
Normal Probability Density
1
( x )2 /
Basic Boxplots
To construct a basic Boxplot:
1. Draw the ends of the box at the first and third quartiles
1. Draw a line inside the box at the median
1. Draw whiskers from the ends of the box to the min and max.
Modification
The maximum length of each whi
TECH 6360
Fall 2006
5:30 to 8:30 PM, Wednesday
Instructor:
Dr. Carole E. Goodson
110 CAM
713-743-4046
cgoodson@uh.edu
Please feel free to stop by my office and/or send an e-mail to me (anytime) with
any questions regarding the course, problems, etc.
Textb
TMTH 3360: Overview of Descriptive Measures
Measures of Central Tendency
Mean
A mean is the most common measure of central tendency.
A mean is what we commonly think of as the average value.
Calculate the mean by summing the values and dividing by the tot
Summary: Basic Concepts of Linear Regression Analysis (one independent variable)
Regression analysis is a statistical technique for modeling and investigating the relationship
between 2 or more variables. For an established relationship, it is used for pr
Example: Simple Linear Regression
For a basic view with a scatter plot and the fitted line use:
Stat/Regression/Fitted Line Plot
MTB > Note: x is distance between the fire and the nearest fire station
(miles)
MTB > Note y is damage in thousands of dollars
TESTING THE EQUALITY OF TWO VARIANCES (THE F TEST)
Application
test assumption of equal variances that was made in using the t-test
interest in actually comparing the variance of two population
The F-Distribution
Assume we repeatedly select a random sam
CENTRAL LIMIT
THEOREM
specifies a theoretical distribution
formulated by the selection of all
possible random samples of a fixed
size n
a sample mean is calculated for each
sample and the distribution of sample
means is considered
clt
1
SAMPLING DISTRIBUT
Week One Assignments
In advance of the next class on August 30, complete the following
1
Acquire the course text: Data Collection and Analysis by S. B. Vardeman and J.
M. Jobe, Duxbury
2
Purchase or ensure access to the course software, Minitab. Note that
Weeks Four and Five Assignments
In advance of the next class on September 20, complete the following
1
Use HO3 (Chapter 5) from the course website. The outline in it can serve as guide
to the readings.
2
Study Sections 5.1, 5.2.1 through 5.2.3 (pages 221
Week Two Assignments
In advance of the next class on September 20, complete the following
1
Use HO1 (Chapter 3) from the course website. The outline in it can serve as
guide to the readings.
2
Study Sections 3.1 through 3.2 in the text.
3
Work the followi
Weeks Seven Assignments
In advance of the next class on October 11, complete the following
1. Use HO 4 (Chapter 6) from the course website. The outline in it can serve as guide to
the readings.
2. Study the following materials in the text:
Section 6.3 (pa
Week Three Assignments
In advance of the next class on September 20, complete the following
1
Use HO2 (Chapter 4) from the course website. The outline in it can serve as
guide to the readings.
2
Study Sections 4.1 through 4.3 in the text, and briefly look
NSCORES
of C put into C
Calculates and stores normal scores. This command is used mainly to produce normal
probability plots and perform various tests.
Here is an example of normal scores:
NSCORES C1 C2
PRINT C1-C2
C1
C2
1.1
0.0
0.1
-> -1.18
2.3
1.18
1.8
Weeks 12 and 13 Assignments
1. The next class meeting is on November 15. At that time we will discuss Chapters 7
and 8 homework problems and begin discussion on regression.
1. Use HO 6 (Chapter 9 and 10) from the course website. The outline in it can serv
You work for a company that produces pressure treated lumber products. Chromated
copper arsenate, or CCA, is commonly used by your industry to make wood less
susceptible to rot and insect damage. However, CCA has come under attack by groups
worried about
Weeks Eight and Nine Assignments
We have a class meeting on October 11 to discuss the problems in Chapters 5 and 6 and
to review other problem, as needed.
Prepare for Test 1. It will be posted on October 19 and due on October 23. (Note: points
are deducte
Weeks 10 and 11 Assignments
1. The next class meeting is on October 25. At that time we will:
a. discuss the exam
b. begin discussion on ANOVA
2. Use HO 5 (Chapter 7) from the course website. The outline in it can serve as guide to
the readings.
3. Study
Weeks 14 and 15Assignments
The last class meeting is on November 29. At that time we will discuss Chapter 9
homework problems and other problems, as needed, to review for the last exam.
In advance of the class meeting, prepare for Test 2. It will be poste