IEOR 165 Lecture 19
Multiple Testing
1
Example: Comparing Restaurant Quality
Consider the following hypothetical situation: There is a chain of fast food restaurants that
is facing decreased customer
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
Feb 5, 2013
IEOR 165 Engineering Statistics
Week 3
2
Review
Probability
Conditional probability, law of total probability, Bayes Formula
Random variables
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
April 2, 2013
IEOR 165 Engineering Statistics
Week 10
Logistics
Homework and project assignment due Thursday
2nd midterm
Next Tuesday, in class
Cumulativ
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
Feb 19, 2013
IEOR 165 Engineering Statistics
Week 5
2
How to Disprove/Reject a Hypothesis
No Randomness
With Randomness
Assume hypothesis is true.
Assume h
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
April 18, 2013
IEOR 165 Engineering Statistics
Week 12
2
Project Assignment 3
Due next Thursday, April 25
Dealing with binary/categorical data
Group diffe
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
April 16, 2013
DUMMY VARIABLE
IEOR 165 Engineering Statistics
3
Week 12
Example: MBA Salary
Entry salary vs. age for 51 MBA students
140000
120000
y = 2600.
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
Feb 12, 2013
IEOR 165 Engineering Statistics
Week 4
Review
Maximum likelihood estimator (MLE)
Likelihood function
Log-likelihood function
Maximization
E
IEOR 165
ENGINEERING STATISTICS
Mengshi Lu
Jan 31, 2013
IEOR 165 Engineering Statistics
Week 2
Logistics
Homework 1 is due today
Solution will be posted online
Homework 2 on bSpace
Not to turn in
IEOR 165 Lecture 8
Quality Control
The idea of statistical quality control is that we will periodically take measurements of
the output of some service system or manufacturing process and then use the
IEOR 165 Discussion 3
February 20, 2015
Question 1. Suppose that when a process is in control each item will be defective with
probability .04. Suppose that your three sigma (z1/2 = 3) control chart c
IEOR 165 Discussion 6
March 13, 2015
Question 1. A colony of laboratory mice consists of several thousand mice. The average
weight of all the mice is 32 grams with a standard deviation of 4 grams. A l
IEOR 165 Lecture 10
Other Null Hypothesis
1 Goodness of Fit Testing
Suppose an item (or person) has one feature. For instance, this feature might be gender (Male
or Female). Suppose there are r dieren
Department of Industrial Engineering & Operations Research
IEOR 165 (Spring 2017)
Homework 5
Due: Thursday, May 4
Question 1. The PCB concentration of a fish caught in Lake Michigan was measured by a
Department of Industrial Engineering & Operations Research
IEOR 165 (Spring 2017)
Homework 1
Due: Friday, Feb 9
NOTE: The solutions to this HW will be posted in one week. Please do not write your solu
Department of Industrial Engineering & Operations Research
IEOR 165 (Spring 2017)
Homework 3
Due: Thursday Mar 16
Question 1. Recall from the previous homework the maximum likelihood estimate derived
IEOR 165 Lecture 22
Weighted Control Charts
1
1.1
Other Control Charts
Fraction Defective
Suppose that when the process is in control, the probability that a single item will be defective
is p. Now su
IEOR 165 Lecture 5
Heteroscedasticity
1
Residuals Plot
Another approach to evaluating the the quality of a linear model is to plot the residuals. That is
we generate a scatter plot of the points (xi ,
IEOR 165 Lecture 20
Multiple Comparisons
1
Example: Comparing Service Rates
Consider a situation in which there are four healthcare providers performing triage for an emergency room in a hospital. Tri
IEOR 165 Lecture 21
Quality Control
The idea of statistical quality control is that we will periodically take measurements of the output
of some service system or manufacturing process and then use th
IEOR 165 Lecture 1
Probability Review
1
Defining Probability
A probability space (, F, P) consists of three elements:
A sample space is the set of all possible outcomes.
The -algebra F is a set of e
IEOR 165 Lecture 14
Holt-Winters Algorithm
1
Affine Discrete Time Model
An affine discrete time model can be written as
xt+1 = Axt + But + k,
where xt Rn is a vector of states, ut Rq is a vector of in
IEOR 165 Lecture 6
Maximum Likelihood Estimation
1
Motivating Problem
Suppose we are working for a grocery store, and we have decided to model service time of an
individual using the express lane (for
IEOR 165 Lecture 2
Method of Moments
1
Estimating Mean and Variance
Imagine a scenario in which we are building an engineering model for a telephone call center to
handle airline reservations. For the
IEOR 165 Lecture 3
Linear Regression
1
Estimating a Linear Model
Recall that the amount of energy consumed in a building on the i-th day Ei heavily depends on
the outside temperature on the i-th day T
Department of Industrial Engineering & Operations Research
IEOR 165 (Spring 2017)
Homework 2
Due: Thursday, March 2
Question 1. Let X1 , . . . , Xn be iid from the pdf
f (x) = 2 xex ,
0 < x, 0 < <
Fi