Notes
Lecture 8: Estimation
Matt Golder & Sona Golder
Pennsylvania State University
Introduction
Notes
Introduction
Notes
Populations are characterized by numerical descriptive measures called
parameters. These parameters that describe a population are xe

CLASS VII
Hypothesis Testing II
To compare two samples, we use the sampling
distribution of the difference of the two
sample statistics
Sampling distribution of
the difference of means
Sampling distribution of the
difference of proportions
JB
Sample
stati

CLASS I
Introduction to
Descriptive Statistics
Class 1: What well be
discussing
Course basics
Descriptive vs. inferential statistics
Levels of measurement
Application: descriptive statistics
using numbers, tables, graphics
Practice Problems
Course Bas

Bivariate regression and correlation
Bivariate Association II
Bivariate Association: Where we are
Bivariate = two variables
Last class: association between 2
grouped variables (chi square)
This class: association between 2
continuous variables
Part 1: Re

STAT 1 MIDTERM EXAMINATION
FALL 2011
INSTRUCTIONS
Please show the formulas that you use, and show all of your calculations.
For all problems, use an alpha level of .05, unless indicated otherwise.
Express all probabilities as proportions.
Use the rounding

CLASS VI
Hypothesis Testing I
Where we are
Descriptive statistics
Skills
Normal curve
Sampling distribution
Inferential statistics
Estimation
Hypothesis testing with means
1-sample
2-sample
2+ sample
More hypothesis testing, etc .
Case study: Patient cos

CLASS V
Estimation
First, a review of
Important things from prior classes
The central problem of statistics
We want to know
about a population
PARAMETER
All weve got is one
sample
We must use that
sample to make
inferences about
the population
STATISTIC

CLASS IV
Samples and
the Sampling Distribution
Topic 1.
Samples
Problem: The
populations we wish
to study are almost
always so large that
we are unable to
gather information
from every case.

PLEASE FILL THIS IN ELECTRONICALLY, WITHIN THE SPACE PROVIDED
BRING THIS FORM TO THE FIRST DAY OF CLASS
STAT 1 STUDENT INFORMATION FORM
Last name
First name
Name that youd like to be called in class (for example your nickname)
Preferred email address:
Hav

CLASS II
Central Tendency
and Dispersion
Central Tendency and Dispersion
911 Response times in three precincts
Measures of Central Tendency
Univariate descriptive statistics
Summarize information about the most typical,
central, or common scores of a var

CLASS IX
Hypothesis Testing III
Analysis of Variance
Where were headed: Bivariate relationships
Well be talking about bivariate relationships
over the next several weeks
Bivariate = two variables
Well practice identifying the variables and the
values of

P11.1011 Statistical Methods for Public, Nonprofit, and Health Management
Students name:
_
Mailbox number:
_
Homework Class 1
1. For these variables in the General Social Survey (see Appendix G of the Healey
text), indicate the level of measurement (nomin

P11.1011 Statistical Methods for Public, Nonprofit, and Health Management
Students name:
_
Mailbox number:
_
Homework Class 2
1. Below are listed the rates of abortion per 100,000 women for 20 states in 1973 and
1975. Describe what happened to these distr

Class 1 Practice Problems
Problem 1
Below are a series of statistics from a recent World Bank fact sheet regarding poverty. Please
answer each of the parts of the following two questions:
(1)
The figures present the various sources of external finance to

CLASS X
Bivariate Association I
BIVARIATE ASSOCIATION: VOCABULARY
Bivariate means involving two variables
Lets call them A and B
A and B are associated if knowing the value of A
helps you to know the value of B (and vice versa)
Equivalent vocabulary:
A a

P11.1011 Statistical Methods for Public, Nonprofit, and Health Management
Students name:
_
Mailbox number:
_
Homework Class 3
1. Assume that the distribution of a college entrance exam is normal with a mean of
500 and a standard deviation of 100. For each

NEW YORK UNIVERSITY
ROBERT F. WAGNER GRADUATE SCHOOL OF PUBLIC SERVICE
Course Syllabus
Spring 2016
Statistical Methods for Public, Nonprofit, and Health Management
Section
Format
Day
Begin
End
Building
Rm#
Instructor
001
Lecture
Tue
6:45 PM
8:40 PM
Silver

Notes
Lecture 10: Simple Regression
Matt Golder & Sona Golder
Pennsylvania State University
Introduction
Notes
Until now, our discussion of statistical inference has assumed that the
observable random variables X1 , X2 , . . . XN are independent and ident

Notes
Lecture 9: Hypothesis Testing
Matt Golder & Sona Golder
Pennsylvania State University
Introduction
Notes
The purpose of statistics is to use information in a sample to make inferences
about the population.
There are two approaches that we can take:

Notes
Lecture 6: Probability Distributions
Matt Golder & Sona Golder
Pennsylvania State University
Probability Distributions
Notes
Were now going to take a closer look at particular probability distributions.
1
Discrete
2
Continuous
Bernoulli Distribution

Notes
Lecture 2: Univariate, Bivariate, and Multivariate
Graphics
Matt Golder & Sona Golder
Pennsylvania State University
Introduction
Notes
In a broad sense, making an inference implies partially or completely describing
a phenomenon.
Before discussing i

Notes
Lecture 4: Probability Theory
Matt Golder & Sona Golder
Pennsylvania State University
Introduction
Notes
When we engage in statistical inference, there is always an element of
uncertainty because we are making inferences about the population based o

Notes
Lecture 3: Descriptive Statistics
Matt Golder & Sona Golder
Pennsylvania State University
Introduction
Notes
In a broad sense, making an inference implies partially or completely describing
a phenomenon.
Before discussing inference making, we must h

Notes
Lecture 5: Random Variables and Probability
Functions
Matt Golder & Sona Golder
Pennsylvania State University
Random Variables
Notes
Whenever an experiment is conducted, we are typically interested in the
realization of some variable, X.
The realiza

Notes
Lecture 1: Introduction, Data Structure, &
Measurement
Matt Golder & Sona Golder
Pennsylvania State University
What is statistics?
Notes
Websters New Collegiate Dictionary: a branch of mathematics dealing
with the collection, analysis, interpretatio

STAT 1 MIDTERM EXAMINATION
FALL 2012
iNSTRUCTIONS
Please show the formulas that you use, and show all of your calculations.
For all problems, use an alpha level of .05, unless indicated othemrise.
Express all probabilities as proportions.
Use the rounding

Class 1 Practice Problems
Problem 1
Below are a series of statistics from a recent World Bank fact sheet regarding poverty. Please
answer each of the parts of the following two questions:
(1)
The figures present the various sources of external finance to

STAT 1 MIDTERM EXAMINATION
FALL 2011
INSTRUCTIONS
Please show the formulas that you use, and show all of your calculations.
For all problems, use an alpha level of .05, unless indicated otherwise.
Express all probabilities as proportions.
Use the rounding

STAT 1 MIDTERM EXAMINATION
SPRING 2011
INSTRUCTIONS
Please show the formulas that you use, and show all of your calculations.
For hypothesis testing questions, show the five steps that you use in arriving at your
conclusion, and state your conclusion in c