Viés estimado
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
θ* - θ̂
About this calculator
The estimated bias calculator computes the difference between a theoretical value (θ*) and the mean estimate derived from bootstrap resampling (θ̂). This calculation helps assess the accuracy of a statistical estimator, showing how much the average estimate deviates from the true parameter. The formula is straightforward: Bias = θ* - θ̂, where θ* is the known or hypothesized value, and θ̂ is the mean of bootstrap estimates.
To use the tool, users need to input the theoretical value (θ*) and the mean estimate (θ̂) obtained from repeated resampling of the dataset. The result highlights the systematic deviation between the estimate and reality, crucial in bootstrap analyses for model validation and prediction adjustment.
This calculator is useful in statistical studies, particularly with small samples or non-normal distributions. However, the result's accuracy depends on the quality of the bootstrap samples and the representativeness of the provided θ*. Outliers or poorly executed sampling can lead to non-representative bias estimates.
Frequently asked questions
What is this calculator used for?
It calculates the deviation between a theoretical value and the mean bootstrap estimate, helping assess the accuracy of a statistical estimator.
How does the bias calculation work?
It subtracts the theoretical value (θ*) from the mean bootstrap estimate (θ̂), using the formula Bias = θ* - θ̂.
When should I use this tool?
Use it to validate a statistical model, adjust predictions, or analyze the robustness of estimates with repeated sampling.
What if the result is negative?
A negative bias indicates the average estimate (θ̂) is higher than the theoretical value (θ*), suggesting a systematic overestimation.