Chapter 5 Flashcards
What is the purpose of inferential stats
used to learn about the population from a sample
two types of inferential stats
estimation
hypothesis testing
Parameter
mathematical characteristics of populations
A survey was conducted on 500 students from a population of 20,000 students at a university. It found that 74% of students were employed during the semester.
determine the
population
sample
statistic
parameter
population= 20,000 students
sample= 500 selected for interviews
statistic= 74% sample that held a job during the semester
parameter= % of all students in the population who held a job
Statistics
mathematical characteristics of samples
What is a random sample
every case in the population has the same chance of being selected
What is a representative sample
a sample that reproduces important characteristics of the population
What does EPSEM stand for and what does it mean
equal probability of election methods
Every element or case in the population must have an equal probability of being selected
What is a non random sample
lack equal or known probability of selection
sampling frame
the list of elements from which the sample will be selected
Probability sample
a sample selected using a random process so that each element in the population has a known likelihood of being selected
How to select a simple random sample
Number all the elements consecutively starting at 1.
Pick a sample size (n) from the total population (N).
Using a random number table or computer program to generate a list of random numbers.
The sample will be comprised of the cases whose element numbers match the randomly generated numbers.
Sampling distribution
the theoretical probabilistic distribution of a statistic for all possible samples of a given size
three distributions of inferential statics
sample
population
sampling distribution
Example of the concept of sampling distribution
-draw a ample of ten people from a population of 100 multiple times
-calculate the mean age for each of these samples
-each sample will have a different outcome
characteristics of a sampling distribution
-normal in shape
-mean equal to the population mean
-SD equal to the population SD
σ/n.