A numeric summary of a sample
Statistic
"This vitamin made my hair grow 6 inches in 3 months!"
Anecdote
n
Sample size
Parameter
The dependent variable of interest
Response
A researcher is doing a study on whether music during studying improves test scores. They get 30 students and randomly assign 15 to the music group and 15 to the non-music group.
P (big P)
Population Proportion
I am interested in the average RBIs for first basemen in the 2023 season for MLB. I take a sample of 50 MLB first basemen and find the sample mean to be 82.
What is the sample?
50 MLB first basemen in 2023
The explanatory variable of interest
Factor
In an experiment, I am going to give different pain medications to different groups. Pain med type would be a ___________. Asprin, Tylenol, and Ibuprofen would be __________.
Factor; levels of the factor
x-bar
sample mean/average
I am interested in the average RBIs for first basemen in the 2023 season for MLB. I take a sample of 50 MLB first basemen and find the sample mean to be 82.
What is the statistic?
82 RBIs
A combination of the levels of the factors
Treatment
I get a list of every GV student's G-number. I take every 20th person and ask them their GPA to find an average GPA.
What is this sampling method?
p-hat
sample proportion
I am interested in the average RBIs for first basemen in the 2023 season for MLB. I take a sample of 50 MLB first basemen and find the sample mean to be 82.
What is the population?
All MLB first basemen in 2023
Describe to me the difference between an observational and experimental unit
Experimental unit: smallest group in which treatments are applied to
Describe to me the pros and cons of observational studies and designed experiments.
(Hint: what is lacking in the results of one)
Designed experiment: expensive, can run into ethical issues, CAN show causation
mu
population mean/average
I am interested in the average RBIs for first basemen in the 2023 season for MLB. I take a sample of 50 MLB first basemen and find the sample mean to be 82.
What is the parameter?
The mean RBI's for all MLB first basemen in 2023.