 # Local Independence

#### Statistical Glossary

Local Independence:

The local independence postulate plays a central role in latent variable models . Local independence means that all the manifest variable s are independent random variables if the latent variable s are controlled (fixed).

Technically, the local independence may be described by formula

 P(y1, … ,yL | x) = L Ãƒâ€¢ l=1 Pl(yl | x)

where (y1, … ,yL) is the vector of all the manifest variables, x is the latent variable , P(·|x) is the conditional probability for y=(y1,…,yL) given x ; Pl|x) are conditional probabilities for each manifest variable yl separately. If the manifest variables {yl} are continuous, then P(·|x) and Pl( ·| X ) are probability densities, not probabilities.

Browse Other Glossary Entries

## Test Yourself

Planning on taking an introductory statistics course, but not sure if you need to start at the beginning? Review the course description for each of our introductory statistics courses and estimate which best matches your level, then take the self test for that course. If you get all or almost all the questions correct, move on and take the next test.

### Data Analytics

Considering becoming adata scientist, customer analyst or our data science certificate program?

Analytics Quiz

Statistics Quiz

### Statistics

Looking at statistics for graduate programs or to enhance your foundational knowledge?

Statistics 1 Quiz

Regression Quiz

Regression Quiz

### Biostatistics

Entering the biostatistics field? Test your skill here.

Biostatistics Quiz

Statistics 2 Quiz

### Stay Informed

Our Blog

Read up on our latest blogs

Certificates

Courses

Find the right course for you