iid
Abbreviation with 2 meanings
| Stands for | Independent and identically distributed |
|---|---|
| Meanings | 2 |
| Categories | Units & Measurements, Government & Politics |
| Also written | IID |
iid has two meanings. It stands for Independent and identically distributed (statistics) or Ignition interlock device (police).
Meanings of iid at a glance
| # | iid stands for | Context |
|---|---|---|
| 1 | Independent and identically distributed | Units & Measurements › Statistics |
| 2 | Ignition interlock device | Government & Politics › Police |
1. Independent and identically distributed
Units & Measurements · Statistics Abbreviations
Describes random variables that all follow the same probability distribution and do not influence one another, such as repeated rolls of a fair die. Many methods, including the central limit theorem and standard regression inference, assume iid data.
Example: Assume X1, ..., Xn are iid normal with mean μ and variance σ².
Also written i.i.d. or IID. Time series, clustered data and repeated measurements usually violate independence, which is why mixed models and autoregressive models exist. Machine learning assumes training and test data are drawn iid from the same distribution, an assumption broken by distribution shift.
2. Ignition interlock device (IID)
Government & Politics · Police Abbreviations
Breath-testing device wired into a vehicle's ignition that prevents the engine from starting if the driver's breath alcohol is above a preset limit. Courts and licensing agencies order IIDs for people convicted of DUI.
Example: With the IID, I have to blow into the device before starting the car and again at random while driving.
Every US state has an ignition interlock law, though requirements differ for first offenses. Rolling retests during a drive discourage someone else from blowing for the driver. The devices record attempts and violations, which are reported to monitoring authorities. Users pay installation and monthly fees.
Related abbreviations
More statistics abbreviations
- H0 – Null hypothesis
- H1 – Alternative hypothesis
- HR – Hazard ratio
- ICC – Intraclass correlation coefficient
- IQR – Interquartile range
- IV – Instrumental variable
- KDE – Kernel density estimation
- KS – Kolmogorov-Smirnov (test)
See all 88 statistics abbreviations →