https://www.geeksforgeeks.org/what-is-the-difference-between-likelihood-and-probability/
1. Chance
2. Possibility
3. Likelihood
4. Probability
What Is the Difference Between “Likelihood” and “Probability”?
Last Updated : 30 Jul, 2024
https://www.geeksforgeeks.org/what-is-the-difference-between-likelihood-and-probability/
Answer: In statistics,
- "likelihood": refers to the chance of observing data given a particular model or hypothesis, while
- "probability": represents the chance of an event(specific set of outcomes of a process) occurring a head of time.
Likelihood vs Probability: Comparison
| Feature | Likelihood | Probability |
|---|---|---|
| Definition | The probability of observing data given a specific model or hypothesis. | The measure of the likelihood that an event will occur before it happens. |
| Application | Used in statistical inference to assess the plausibility of different parameter values given observed data. | Used in probability theory to quantify uncertainty associated with the occurrence of future events. |
| Directionality | Backward-looking: concerns the probability of past observations given a model. | Forward-looking: concerns the likelihood of future events. |
| Parameterization | Associated with the likelihood of parameter values given observed data. | Associated with the likelihood of outcomes of random experiments or events. |
| Interpretation | Interpreted as a measure of support for different parameter values given observed data. | Interpreted as a measure of belief or uncertainty about future events. |
Example In linear regression, the likelihood function measures the probability of observing the given set of data points under the
What’s the Difference?
BY ZACH BOBBITTPOSTED ON AUGUST 18, 2021