Stat 203 Final Exam
Due: Tuesday, March 16 at noon (12 P.M.) Please submit paper copy to my oce.
Instructions: There are 4 problems, please submit each problem on separate sheet(s)
and put your name on each sheet. Please turn in all of your R code and R o
Statistics 203 Syllabus
1. Course Description
This course introduces statistical regression models with an applied focus.
Students will learn the basic concepts behind basic linear and nonlinear
statistical models, and apply them to the analysis of real d
Statics Truss Problem
2.1
Statics
We are going to start our discussion of Finite Element Analysis (FEA) with
something very familiar. We are going to look at a simple statically determinate truss.
Trusses are characterized by linear elements (beams) which
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
Chapter 6: Analysis of Structures (Trusses)
Plan Truss
A framework composed of members joined at their ends to form a rigid structure is called a truss.
Bridges, roof supports,
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
INCORPORATING A TRUSS DESIGN PROJECT INTO STATICS COURSE
INTRODUCTION
When teaching engineering mechanics, instructors are challenged to create realistic, hands on, intuitive de
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
Chapter 3: Rigid Bodies: Equivalent Systems of Forces
Introduction, Internal & External Forces
Rigid Bodies: Bodies in which the relative position of any two points does not cha
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
Chapter 4: Equilibrium of Rigid Bodies
Equilibrium of Rigid Bodies
Conditions of Equilibrium:
For a rigid body to be in equilibrium:
The resultant of all forces acting on it is
SPC208 Statics of Rigid and Elastic Bodies
Course Schedule
Course Schedule
Week #
Topic
From - To
Practice and Assessment
1
Forces in a plane and Space
20/9 25/9
2
Equivalent systems of forces
27/9 2/10
3
Equivalent systems of forces
11/10 16/10
HW#01
4
E
SPC208 Statics of Rigid and Elastic Bodies
Chapter 2 Statics of Particles
Dr. Zakaria Elnaggar
FORCE VECTORS, VECTOR OPERATIONS &
ADDITION COPLANAR FORCES
Todays Objective:
Students will be able to :
a) Resolve a 2-D vector into
components.
b) Add 2-D vec
Lecture 9: Transformations, Weighted ANOVA
Nancy R. Zhang
Statistics 203, Stanford University
February 9, 2010
Nancy R. Zhang (Statistics 203)
Lecture
February 9, 2010
1 / 22
Linear regression (ANOVA) model:
Y = 0 + 1 X + + p Xp + error,
error N(0, 2 ).
1
Lecture 7: Fixed and Random Effects
Nancy R. Zhang
Statistics 203, Stanford University
January 28, 2010
Nancy R. Zhang (Statistics 203)
Lecture
January 28, 2010
1 / 27
One-way ANOVA
Example: rehab surgery
How does prior tness affect
recovery from surgery?
STAT 203: Regression Models and ANOVA
Lecture 1: Introduction and Review
Nancy R. Zhang
Statistics 203, Stanford University
January 7, 2009
Nancy R. Zhang (Statistics 203)
Lecture 1
January 7, 2009
1 / 17
Topics outline:
The goal of this course is to equi
STAT 203: Regression Models and ANOVA
Lecture 2: Simple Linear Regression
Nancy R. Zhang
Statistics 203, Stanford University
January 8, 2009
Nancy R. Zhang (Statistics 203)
Lecture 2
January 8, 2009
1 / 18
Last lecture.
Example: heights of husbands and wi
A BRIEF INTRODUCTION TO R
STAT203
YuehWen Liao
Dept. of Statistics, Stanford Univ.
What is R
A software & a dialect of the S language
y
y
g p
A system for statistical analysis and graphics
Works in various OS.
F
Free (
(available at http:/www.r-project
Lecture 14: Logistic and Poisson Regression
Nancy R. Zhang
Statistics 203, Stanford University
February 24, 2010
Nancy R. Zhang (Statistics 203)
Lecture 14
February 24, 2010
1 / 12
Count data
1
Men and women were asked whether they believed in the after l
Lecture 3: Inference and Diagnostics for Simple
Linear Regression
Nancy R. Zhang
Statistics 203, Stanford University
January 12, 2010
Nancy R. Zhang (Statistics 203)
Lecture 3
January 12, 2010
1 / 24
Review
Assumptions of the linear model
Yi = 0 Xi + 1 +
3-way tables: Alcohol Cigarette, and Marijuana Use
Survey asked 2276 students in their nal year of high school in a
nonurban area near Dayton, Ohio whether they ever used alcohol,
cigarettes, or marijuana.
Alcohol
Use
Yes
No
Cigarette
Use
Yes
No
Yes
No
Ma
Lecture 12: Ridge Regression, LARS, Logistic
Regression
Nancy R. Zhang
Statistics 203, Stanford University
February 18, 2010
Nancy R. Zhang (Statistics 203)
Lecture 12
February 18, 2010
1 / 30
Exploring the model space
1
Forward selection:
1
2
3
2
Start w
Lecture 10: PCA, Model Selection
Nancy R. Zhang
Statistics 203, Stanford University
February 11, 2010
Nancy R. Zhang (Statistics 203)
Lecture 10
February 11, 2010
1 / 20
European Jobs Data
Percentage of jobs for 26
European countries in following
industri
Lecture 11: Model and Variable Selection
Nancy R. Zhang
Statistics 203, Stanford University
February 16, 2010
Nancy R. Zhang (Statistics 203)
Lecture 11
February 16, 2010
1 / 23
Training versus Test Performance
Given n p matrix X and response Y , we obtai
Lecture 7: Random Effect Models
Nancy R. Zhang
Statistics 203, Stanford University
February 2, 2010
Nancy R. Zhang (Statistics 203)
Lecture 7
February 2, 2010
1 / 22
Example
Setting: Personnel
management in a large
enterprise.
Question: Does the
interview
Correlated Errors
1
Estimated regression coefcients are still unbiased, but they are
no longer MLEs.
E[(X X )1 X Y ] = (X X )1 X E[Y ] = .
2
MSE may seriously underestimated the variance of the error
terms.
3
Standard errors are too small t-statistics too
Lecture 5: Multiple Linear Regression
Nancy R. Zhang
Statistics 203, Stanford University
January 19, 2010
Nancy R. Zhang (Statistics 203)
Lecture 5
January 19, 2010
1 / 25
Agenda
Today: multiple linear regression.
This week: comparing nested models in mul
Introduction to R Programming
P. He
STATS 203, Winter 2010
He,
()
STATS 203
1 / 11
Outline
1
Get Started: Dealing with Data
2
Higher Level
He,
()
STATS 203
2 / 11
Get Started: Dealing with Data
Read in / Save Data
mydata = read.table(location of the data)
SPC208 Statics of Rigid and Elastic Bodies
Chapter 3 Rigid Bodies: Equivalent Systems of
Forces
Dr. Zakaria Elnaggar
Contents
1. Introduction
2. External and Internal Forces
3. Principle of Transmissibility: Equivalent Forces
4. Scaler, Vector and Mixed T