Two Way Frequency Tables: Probability & Dependence

Front

What is a two-way frequency table?

Back

A two-way frequency table is a statistical table that displays the frequency of different outcomes in two categorical variables, allowing for the analysis of the relationship between them.

Front

Define probability.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible event) and 1 (certain event).

Front

What does P(Male) represent in probability?

Back

P(Male) represents the probability of randomly selecting a male from a given population.

Front

How do you calculate P(Male)?

Back

P(Male) = (Number of males in the sample) / (Total number of individuals in the sample).

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

What does P(S|M) represent?

Back

P(S|M) represents the probability of event S occurring given that event M has occurred.

Front

How do you calculate conditional probability?

Back

P(A|B) = P(A and B) / P(B), where P(A and B) is the probability of both events occurring.

Front

What is the formula for total probability?

Back

The total probability of an event can be calculated by summing the probabilities of all mutually exclusive outcomes that lead to that event.

Front

Define independence in probability.

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

What is the relationship between two-way frequency tables and independence?

Back

In a two-way frequency table, if the row and column totals are proportional, the two events are independent.