2. Individuals and Variables
Individuals are the objects described a set of
data. Individuals may be people, but they may
also be animals or things.
A variable is any characteristic of an individual. A
variable can take different values for different
individuals.
Some variables, such as age and income, take
numerical values.
3. Observational Studies
An observational study observes individuals and
measures variables of interest but does not
attempt to influence the responses.
A response is a variable that measures an
outcome or result of a study.
The purpose of an observational study is to
describe some group or siuation.
4. Sample Surveys
Sample surveys survey some group of individuals by
studying only some of its members, selected not
because they are of special interest but because they
represent the larger group.
The population in a statistical study is the entire group
of individuals about which we want information.
A sample is the part of the population from which we
actually collect information and is used to draw
conclusions about the whole.
A census is a sample survey that attempts to include
the entire population in the sample.
5. Experiments
An experiment deliberately imposes some
treatment on individuals in order to observe their
responses. The purpose of an experiment is to
study whether the treatment causes a change in
the response.
The goal of an experiment is usually to learn
whether some treatment actually causes a certain
response.
6. Biased Sampling Methods
The design of a statistical study is biased if it
systematically favors certain outcomes.
Selection of whichever individuals are easiest to
reach is called convenience sampling.
A voluntary response sample chooses itself by
responding to a general appeal. Write-in or call-in
opinion polls are examples of voluntary response
samples.
Convenience samples and voluntary responses are
often biased.
7. Simple Random Samples (SRS)
The deliberate use of chance in producing data is one
of the biggest ideas of statistics.
An SRS of size n consists of n individuals from the
population chosen in such a way that every set of n
individuals has an equal chance to be the sample
actually selected.
A table of random digits is a long string of the digits 0,
1, 2, 3, 4, 5, 6,7, 8, 9 with these two properties:
Each entry in the table is equally likely to be any of the
10 digits 0 through 9.
The entries are independent of each other. That is,
knowledge of one part of the table gives no information
about any other part.
8. How to choose an SRS?
Label. Assign a numerical value to every
individual in the population. Be sure that all labels
have the same number of digits if you plan to use
a table of random digits.
Software or table. Use random digits to select
labels at random.