Speaking Notes
PADM 5502
September 6, 2007
Dr. Neubauer
WHERE WE ARE: [THESE INSTRUCTIONS WERE AMENDED 9/17/09]
REVIEW OF MAJOR TERMS AND CONCEPTS SO FAR
AGAIN, A BIG PICTURE
When "doing" INFERENTIAL STATISTICS you are trying to understand things about a POPULATION based upon a SAMPLE of its members.
Something of interest in the population is called a PARAMENTER. Unless we do a CENSUS we will never exactly know the values of parameters in a population. A STATISTIC is a value derived from a SAMPLE of the POPULATION which is intended to be an estimate of the related parameter in the population.
You should not claim to be doing INFERENTIAL STATISTICS unless the sample is a SIMPLE RANDOM SAMPLE, which means that every member of the population has an EQUAL KNOWN CHANCE of being included in the sample. Simple random samples are really hard to get. To do one you must have a SAMPLING FRAME which is a list of every member of the population. You must then select from the sampling frame RANDOMLY. You must find all the people so selected. They must each agree (voluntarily) to participate.
A SAMPLE OF CONVENIENCE is not a random sample. You cannot really INFER from the STATISTICS derived from a sample of convenience to estimate PARAMETERS in the population.
CHAPTER 4 MATIERIAL
You have a variable in your RESEARCH MODEL. (Actually, you have many variables.)
In SURVEY RESEARCH you must write one or more QUESTIONS intended to OPERATIONALIZE each variable in your research model.
There are three (technically four) LEVELS OF MEASUREMENT.
Level of measurement is important because it determines the PRECISION of the data and what kinds of statistical analyses are appropriate.
The levels of measurement:
NOMINAL VARIABLES
The values are simply names with no natural/numeric order.
Example: Religious affiliation --
Muslim
Jewish
Christian
Buddhist
Other
Example: Make of vehicle
Buick
Ford
Toyota
Other
ORDINAL VARIABLES
The values of this kind of variable has a natural order but NO STANDARD UNIT OF MEASUREMENT.
14) I like potato salad.
[ ] [ ] [ ] [ ] [ ]
Strongly Disagree Undecided Agree Strongly
Disagree Agree
18) My vehicle is . . .
[ ] a subcompact
[ ] compact
[ ] midsize
[ ] full size
[ ] a monster truck
INTERVAL LEVEL VARIABLES
Here, the answer (value) involves use of a standard unit of measure.
9) How tall are you in inches? ______________ inches
10) How many children do you have? _______________
11) What is your family's annual income before taxes? $___________________
-------------
Interval level date is the most PRECISE and you can do "better" statistics on it.
If you have interval level data you can "down grade it" to ordinal if needed.
If you have ordinal data you cannot "upgrade" it to interval. If you collect family income in ranges you cannot than figure out the exact values. If you have exact values you can create ranges.
THREE MAJOR MEASURES OF CENTRAL TENDENCY -- mean, median, mode
|
|
Mean |
Median |
Mode |
|
Nominal |
no |
no |
yes |
|
Ordinal |
no |
yes |
yes |
|
Interval |
yes |
yes |
yes |
Regarding the measures of DISPERSION, the same applies. Interval data is "better" than the others.