Ch8, p.9
Questions: 1. Is the estimate (i.e., 24.9) the real ? 2. Next time when the same procedure (same sample size, same estimator, same . . .) is repeated again to get a new estimate, how far the future estimate will be away from 24.9? 3. In which ra
1. Suppose that Y have the pdf: fY (y ) = (a) Show that
Y 2( y ) , 2
0,
0<y< otherwise
is a pivotal quantity.
Y
(b) Find the cdf of
.
(c) Use (a) to nd a 90% condence interval for . 2. Suppose that the random variable Y has a Gamma distribution with para
Chapters 1-4
An Introduction to Basic
Statistics
Goal of Statistics
Determining information about a
population
Examples:
Population Mean - -
Population Variance - - 2
Population Proportion - - p
Note that these characterstics of interest are fixed (const
Valentine Days Lab
This lab will primarily use the data from textbook problem 5.2 (both editions) which contains the systolic
blood pressure (SBP), body size (QUET), age (AGE), and smoking history (SMK=0 if nonsmoker and
SMK=1 if current smoker) for a "hy
Chapter 5
Introduction to Simple Linear
Regression
Testing Relationships
Often statisticians are interested in
testing the possible relationship
between two variables (an
explanatory and response variable).
Example: Is there a relationship
between the amo
Tiffany Jones
12/1/2014
1. How long have you had a social worker?
2. What is the main objective for your social worker?
3. How accessible is your social worker?
4. Do you think your social worker works for your benefit?
5. Do you have any complaints with
Anna Pandelakis
Chamberlain
Eng 100, Paper #1
26 September 2014
Is this a tragic story about a simple girl, knowing no more than her own content life? Or
perhaps, an awe-inspiring story about altruism and the kindness inside all of us? One could
interpret
Everyone uses water everyday for their daily activities such as bathing, shaving, watering
plants, etc. Everybody just open the valve and use water as it is endless. It is common sense to
think that water will never run out in the future because 70% of ou
BIO 230 Homework Assignment #1
_
12 points
Name:_Latasha Wiggins
Instructions:
1. Download this answer sheet.
2. Type in your responses in your own words. DO NOT cut and paste from the internet or
copy from written text. This is plagiarism and you will re
Hong 1
James Hong
Mrs.Blumer
English 100
December 6, 2013
Frank Underwood for Reelection
House of Cards is a television series that first aired through Netflix on February 13th
2013. The netflix hit show was based off of a British mini-series inspired by
HOW BULL SHARKS CAN LIVE IN BOTH OCEAN AND FRESH WATER
Although there are a handful of species that live in freshwater, we tend to think of sharks
as being ocean dwellers. But there is also a very unique shark that can live in both
ocean and fresh water e
Justin Trader
Process Analysis: How To Behave On a First Date
Lets face it, we all get nervous on a first date with someone with whom we just
met. We make sure we smell good, brush our teeth, dress nicely and make a good first
impression. As a guy, I admi
Sensation Park
Employee Safety Training
Our Top Priority
At Sensation Park, guest and employee safety is
our top priority. Staff must report all accidents, no
matter how minor, so that trained safety and
security personnel can document and officially
repo
Nonparametric Statistics
I shall compare the Wilcoxon rank-sum statistic with the independent samples ttest to illustrate the differences between typical nonparametric tests and their
parametric equivalents.
Independent Samples t test
Wilcoxon Rank-Sum Te
Review Problems
The boxplots below give the average monthly temperature for the cities Raleigh, NC and San
Francisco, CA.
85
80
75
70
t
e
m
p
65
60
55
50
45
40
35
Ra l ei g h
SanFr an
ci t y
1. Which of the following statements is true?
(a) The lowest ave
This review lab uses a subset of the dataset bears.txt.
The following is a description of the dataset:
Wild bears were anesthetized, and their bodies were measured and weighed.
One goal of the study was to create a system so biologist's could estimate the
Degree of Belief:
An Introduction to Bayesian Statistics
Ben Burner
West Chester University
February 4, 2010
This presentation is largely based on
Data Analysis: A Bayesian Tutorial by
D.S. Sivia
Additional Resources
A Geometric Formulation of Occam's Raz
The Analysis of Variance
Complimentary reading: Chapters 12 and 13
(WMS).
Introduction
We have already seen an application of ANOVA in linear regression from the
Chapter 11 (WMS). In that context, we saw that the total variability in a set of
response dat
STAT506 Topic 9.0 Properties of Point Estimators and
Methods of Estimation
Weve talked about the purpose of
estimate
which is basically used to
. With this as our goal we saw the following things:
is a function of the random variable over a sample. So it
STAT506 Topic 10.0 Hypothesis Testing
(Reference, Formulas, and Examples from WMS Chapter 10
& Rosners Fundamentals of Biostatistics & Devores
Probability and Statistics for Engineering and the Science)
Two goals for Statistics:
1. Make Decisions
2. Make
Confidence intervals for linear functions of 0 and
1
Consider our straight-line regression model Yi = 0 + 1xi + i, where i ~ iid N(0;
2).
In many settings, it is often of interest to make inferential statements about
a linear combination of the regression
Topic D - Sampling Distributions
and the Central Limit Theorem
Independent and identically
distributed random variables
we will often characterize Y1; Y2; ; Yn as a
random sample.
IID OBSERVATIONS: Suppose that Y1; Y2; ; Yn
are independent observations, w
STAT506 CHAPTER 8: ESTIMATION
STAT506 Topic 8.1 Introduction to Estimation
When analyzing data, recall there are three things we need:
Knowledge of the mean
Knowledge of the Variance
Knowledge of the Distributions
We spent much of last semester discuss
Linear Models and Least
Squares
Complimentary reading: Chapter 11 and Appendix A.
Introduction
A problem that often arises in economics, industrial applications, and biological
settings is that of investigating the mathematical relationship between two (o
Topic A: Functions of Random
Variables
In many applications, interest lies in obtaining information about a function of a random variable,
say, g(Y ), instead of the random variable Y itself.
Example 1.
In a medical experiment, Y denotes the systolic bloo