Page 1 of 2 M-8743886
602030/8743886/1-2/RESGS/02-1
Your Base Branch : P.B.NO. 1610 DARE HOUSE
HOUSE ANNEXE 44 MOORE STREET 600001
MR.SRIDHAR V
OLD NO 12 NEW NO 25 IYYA STREET TRIPLICANE
NEAR HINDU HIGHER SECONDARY SCHOOL
CHENNAI
TAMIL NADU - INDIA - 6000
Midterm 3 study guide.
Chapter 15: Non-parametric statistics
General: these are cousin tests for other tests we have developed in this course - you should know which.
1. Paired experiments: the Sign test.
(a) Identify the appropriate test statistic (eithe
550.112 Statistical Analysis II - Fall 2015
NAME
MIDTERM #2
SECTION #
1. Suppose we were supplied the following partially-filled ANOVA table:
source of variation
A
B
AB
Error
Total
deg.freedom sum of squares mean squares F -ratio p-value
2
1100
.00327
7
2
Question 1
A)
(1) In this example, using the data, linear regression would give us the
following estimate for the intercept and slope:
b0 = -7.02, b1 = 0.09,
so we donate this line by:
#beeri = -7.02 + 0.09 weighti,
which means an additional weight, other
the estimated b1 is significant.
(3) R Square=0.376, so the fit of the model is not bad.
B)
(1) In this example, using the data, linear regression would give us the
following estimate for the intercept and slope:
b0 = 24770.75, b1 = 94014.60,
so we donate
B)
(1) In this example, using the data, linear regression would give us the
following estimate for the intercept and slope:
b0 = 12.43, b1 = -0.18,
so we donate this line by:
#beeri = 12.43 - 0.18agei,
which means an additional year of age, other variable
D)
By applying the data into the model estimated in question 2.A),
we get the table.
E) The data I would collect is the average price in the same neighborhood,
annual salary of the people who live in this area, the crime rate, and the
distance to harbor e
C)
(1) In this example, using the data, linear regression would give us the
following estimate for the intercept and slope:
b0 = 208189.83, b1 = 4738.58,
so we donate this line by:
pricei = 208189.83 + 4738.58#bedroomi,
which means an additional bedroom,
Question 2
A)
(1) In this example, using the data, linear regression would give us the
following estimate for the intercept and slope:
b0 = -12857.23, b1 = 159.22,
so we donate this line by:
pricei = -12857.23 + 159.22 sqfti,
which means an additional squ
Question 1
(3) 10 different i.i.d samples of size n=100, from the standard normal distribution
(0,1):
Histogram
Frequency
6
4
2
Frequency
0
-0.2 -0.15 -0.1 -0.05
0
0.05
0.1
0.15
Bin
(4) 100 different i.i.d. samples of size n=100, from the standard normal
The P-value of this test is 1.04E-57 <= 0.05, we reject H0: b1=0, so
the estimated b1 is significant.
(3) R Square=0.3098, so the fit of the model is not bad.
Review
Statistics
Maximum Likelihood
Remember the binomial distribution?
n x
f (x) =
p (1 p)(nx)
x
Jonathan Cook
The probability of getting x successes out of n trails when the
probability of x is p.
October 6, 2016
2 / 29
Review
Suppose that we flip a
Notes on Maximum Likelihood
Jonathan Cook
This version: June 2016
Some intuition for maximium likelihood estimation
Suppose that I take a fair coin and bend it so that the probability of heads is no longer
.5. I no longer know what the probability of head
Notes on Method of Moments
Jonathan Cook
This version: October 12, 2014
Introduction
We have a sample of n observations. Let us write our sample as
x1 , x2 , . . . , xn .
We want to use this sample to estimate parameters, which are the constants from the
On Descriptive Statistics
Histogram
Statistics
Descriptive Statistics
Summarizing the Data
Location
Dispersion
Jonathan Cook
Correlation
September 1, 2016
Crosstabulation
Simpsons Paradox
2 / 62
All of the data or some of it?
Types of Data
Qualitative
I
H
Todays Class
Introduction
Statistics
Discrete Probability Distributions
(Chapter 5)
Binomial Distribution
Random Walks
Normal approximation
Jonathan Cook
Poisson Distribution
Hypergeometric Distribution
September 15, 2016
Practice Problems
2 / 45
Discrete
Review
From our class survey (correlation .4)
What does correlation tell us?
rxy > 0 means that when x is bigger, usually y is bigger too.
rxy < 0 means that when x is bigger, usually y is smaller.
Another way to say this is that rxy is a measure of the l
The Monte Hall Problem
Statistics
The Monte Hall Problem Demystified
Suppose youre on a game show, and youre given the choice of
three doors. A prize is behind one of the doors. You pick a door,
say No. 1, and the host, who knows whats behind the doors,
o
A Variation of the Monte Hall Problem
A Variation of the Monte Hall Problem
We assume
Suppose youre on a game show, and youre given the choice of
four doors. A prize is behind one of the doors. You pick a door,
say No. 1, and the host, who knows whats beh
Homework #2: Introduction to Probability
Statistics
Instructor: Jonathan Cook
Due on September 15, 2016
Problem 1. There are 13 people in our class. What is the probability that some
people in our class have the same brithday? (Assume that there are 365 d
Todays Class
Introduction
Statistics
Method of Moments
Central Limit Theorem
Jonathan Cook
Point estimates
Things that are not in the book
September 29, 2016
Method of Moments
2 / 43
What is statistics?
What is statistics?
Sample
x
p
s2
Suppose that the h
BU.510.601
Statistical Analysis
Chapter 4
Probability
Fall 2014
BU.510.601
Probability
1
Experiment, outcomes, sample space
Instatistics,wecollectdata(makeobservations).Thisprocesscan
beconsideredasanexperiment.
Potentialresultsofanexperimentarecalledoutc
Ch. 4 Probability: practice problems.
1.
2.
3.
4.
Three cards are drawn from a deck of 52 without replacement. What is the probability of
a. All 3 queens?
b. No queens?
c. Exactly 1 queen?
You draw 6 balls out of a jar without replacement. Balls are
HW3
Jinyan Xiang #37; Remy Janco #8; Spencer Twigg #33; Afzaan Hakim #6
Q1.
A.
i.
The following chart is the Excel output:
Anova: Two-Factor Without Replication
Su
SUMMARY
Count m
Average
Batch1
5
568 113.6
Batch2
5
593 118.6
Batch3
5
393 78.6
A
3
291 97
Statistical Analysis
BU.510.601
Fall - 2015
HW3
(25 points max)
Due: At the start of lecture 7
Q1:(12points:4,4,4)
(A) Fivemanufacturingmethods,A,B,C,DandE,aretobecompared.Themethodswillbeappliedtoa
certainrawmaterial,andtheyieldwillberecorded.Theraw
A
B
Q1-A
Batch1
Batch2
Batch3
Q1-B
Entrance
O
E
Q1-C
City
Approve
Disapprove
Not Sure
Oij
Approve
Disapprove
Not Sure
A
112
107
72
I
63
60
0.15
B
109
119
75
C
106
120
83
D
132
142
98
E
109
105
65
II
III
IV
V
47
52
73
65
60
60
60
60
2.816666667 1.066666667 2.8
Spencer Twigg #33
Q1:
a) Five manufacturing methods, A, B, C, D and E, are to be compared. The methods will be
applied to a certain raw material, and the yield will be recorded. The raw material is
produced in batches, and it is believed that there iscons