What is the multinomial experiment?
(3 properties)
1) n identical, independent trials
2) Every trial yields one result out of K possible results
3) The probability of each possible result is constant form trial to trial
What is the probability RELATED TO the multinomial experiment?
The probability of observing Oi results of each type in n trials
(the probability of an EXACT set of outcomes occurring)
What is the expected value in a multinomial experiment?
Ei = nPi
Where Pi is the probability of each outcome type
What is another name for the Chi-Squared test?
Goodness of fit test
What happens to the Chi-squared curve as DF increases?
The curve moves to the right as DF increases, eventually looking like a normal distribution
What condition MUST BE MET to conduct the goodness of fit test?
(regarding expected values)
E ≥ 5 for all groups/columns, otherwise you CANNOT do the test
SOLUTION: Add the problematic group to another
What is the purpose of contingency tables?
(what is another name for them?)
They are used to see if the data in the rows and columns of the table are independent from each other.
They are also called two-way frequency tables.
What does the value K signify?
THE NUMBER OF RESULTS PER TRIAL (K ≥ 3)
How to evaluate Chi-Squared values?
If the found value is LESS THAN the expected one, we FAIL to reject H0.
In other words, everything after the expected value is the REJECTION REGION
(can vary depending on the scenario)
What does the expected value represent when doing two-way frequency tables?
It is the MIDPOINT between the values of the given column
THEREFORE: Sum of values from row 1 = Sum of values from row 2 (Final calculations)
When doing two-way frequency tables, what does the FOUND final value indicate?
Less than confidence derived value = DATA INDEPENDENT
