Exam 3 Flashcards
Probability
Deals with the relative likelihood that a certain event will or will not occur, relative to some other events
Probability is a synonym of
proportion
Occurrence of an event is just as likely as it is unlikely at probability
0.5
Probability values assigned to each experimental outcome must be between
0 and 1
The sum of all experimental outcome probabilities must be
1
Outcome space/sample space
All possible outcomes.
Mutually exclusive and exhaustive
Complement of an event
The complementary event A refers to the event consisting of all sample points that are not in A
Probability of intersect (joint)
Probability of both A and B occurring at the same time
Two events A and B that are not mutually exclusive
Probability of conjoint (union)
The probability of either A or B occurring
Conditional probability
p(A|B)
The probability of an outcome, given that a certain value is already known for a second variable.
Non-parametric Chi-square test
Involves discrete variables (categorical data). It does not require assumptions of homogeneity or normality
Nominal (yes/no) data
Evaluating the difference between the frequencies actually observed in the sample
Df of chi squared
n-1
(n-1)(r-1) for test of independence
Chi squared test, if the calculated value is less than the critical value what happens?
We fail to reject the null hypothesis.
No change
Chi square test of independence
To determine if the two discrete variables are independent of each other or if an association exists.
Attempting to find out if one variable predicts another variable.
Data is displayed in a contingency table of rows and columns
Chi square, what do we do when the calculated statistic is greater than the critical value?
Reject the null hypothesis
There is a significant difference
Assumptions of chi square test of independence
There must be at least one observation in every cell, no empty cells
The expected value for each cell must equal or be larger than 5
Yates Chi Square for conservative estimation
Used in certain situations when testing for independence on a contingency table.
Produces a smaller numerator and a more conservative estimate for the chi square statistic; harder to reject null
Fishers Exact Test for less data
Used when data for a chi-square test of independence is reduced to 2x2 and the expected values are still too small or have a zero in the cell
Can be non-parametric median test or probability for multiple tests
McNemars Test
Will be used to evaluate the relationship or independence of paired discrete variables (like paired T test)
When to use OR vs RR?
OR are more commonly reported incase control, cohort studies and clinical trials OR can be an estimate of RR If the outcome of interest is rare, OR=RR Either overestimate (OR>1) or underestimate (OR<1)