Statistics 522 Spring 2007 Dr. K. Jennings
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Lecture 1: Some basics about sampling survey
1. Methods for producing data.
Designed experiments
Observational studies
Sample survey
2. Sampling Strategy. In sample survey, there are two statistical aspects:
The selection procedure that describes how
Lecture 3: Ratio and Regression Estimation
Sometimes, we have auxiliary information, denoted by x, on the population units. For
example
x : location, y : income
x : number of farms, y : number of aces
x : amount of rain fall, y : yield of crop
There ar
Lecture 4: Stratified random sampling
Sometimes, we have auxiliary information, denoted by x, on the population units. For
example
x : location, y : income
x : number of farms, y : number of aces
x : amount of rain fall, y : yield of crop
There are two
Lecture 2: Probability samples
1
Some basics
1. Definition of probability sample
Each sample has known probability of being selected. As a result, each element
in population has known probability of being selected.
A randomization mechanism is used to c
Chapter 1
Introduction
1.1 Methods for producing data
Designed experiments
Cause-effect relationship/control
Observational studies
Only Cause-effect relationship, no control
Sample survey
Not for purpose of Cause-effect relationship, but has
random sel
Sample Survey Ch 2 page 1
Chapter 2
Simple Random Samples
2.1 Definitions and notation
A sample random sample (SRS) is one drawn in such a way
that all possible samples of the same size have the same probability
of being the selected sample.
A SRS may b
Sample Survey Ch 5 page 1
Chapter 5
Cluster Sampling
5.1 Introduction
The population is divided in non-overlapping groups called clusters. A
sample of clusters are selected.
The clusters are the primary units of sampling. The memebrs of the
clusters are t
Sample Survey Ch 6 page 1
Chapter 6
Ratio and regression estimators
We now return to SRS and consider ways of estimating Y when we
have auxiliary information. Suppose associated with each unit in the
population is a measurement X which is highly correlate
Sample Survey Ch 3 page 1
Chapter 3
Systematic Sampling
3.1 How to take a systematic sample
Suppose N/n = k is an integer.
1. Arrange the population units in a sequence, e.g. natural order of
arrival or in space; on a list; each given a number.
2. Choose
Sample Survey Ch 1 page 1
Chapter 1
Introduction
1.1 Methods for producing data
Designed experiments
Observational studies
Sample survey
Sample Survey Ch 1 page 2
1.2 Census and surveys
A census is a complete enumeration of the population: data are col
Lecture 5: Cluster Sampling
1
Introduction
1. Motivation Example.
Suppose we want to find out how many bicycles are owned by residents in a
community of 10,000 households.
We could take a simple random sample (SRS) of 400 households,
Or we could divide