Upgrade to remove ads
Lecture 4 Terms
Terms in this set (11)
Composites of simple events in the same space
e.g., probability (heads) OR probability (tails)
Simultaneous occurrence of multiple simple events in the same space
e.g., probability (heads) AND probability (tails)
Probability of a complex event equals the sum of outcomes that make up that event
If two events are independent, the probability of a shared event (both events occur) equals the product of the individual probabilities.
Sampling with Replacement
Choosing an ace from a deck of cards, replacing it, AND then choosing an ace as the second card.
Sampling without Replacement
Choosing an ace from a deck of cards, AND then choosing an ace as the second card.
When calculating the probability of a complex event, information on known outcomes can be used to revise the probability calculations..
These updated estimates are termed "conditional probabilities" P (A l B).
Probability of event A, given that event B occurred.
Concerned with conditional probability.
It quantifies the probability that a hypothesis is true if some event has happened.
Goal: to calculate the "Posterior Probability", incorporating the new observation (event)
Approach: Need to consider three quantities:
Probability of observation, if hypothesis is true.
Probability of observation, if hypothesis is not true/
The Prior: Probability of the hypothesis, before the (new) observation was made
Approach: Outcome is binary: accept / reject
Compare hypothesis and decision about hypothesis
Bayesian vs Frequentist Statistics
"Bayesian probability" is the interpretation of probability as the degree of belief in a hypothesis.
Yields probabilities to hypotheses, which vary as additional observations are collected.
"Frequentist probability" is the interpretation of probability as the frequency of a particular outcome in a large number of experimental trials.
Yields the acceptance / rejection of the null hypothesis.
THIS SET IS OFTEN IN FOLDERS WITH...
Lecture 1 Terms
Lecture 2 Terms
Lecture 3 Terms
Biometry Quiz 1
YOU MIGHT ALSO LIKE...
Ch. 4 - Probability
Ch 4 Introduction to Probabilities
7th grade Probability
OTHER SETS BY THIS CREATOR
Gen Bio II Exam 4 Study Material
Exam 2 Material Gen Bio II
OTHER QUIZLET SETS
CH 12 KC and Terms
SHS 430 Exam #2 USM
History of Western Art Final