Question

What does it mean if a statistic is resistant?

   What does it mean if a statistic is resistant?

Statistics Informed Decisions Using Data

Statistics Informed Decisions Using Data

Michael Sullivan III 4th Edition

Chapter 3, Problem 1

Instant Answer

Solved by Expert Trinity Steen

04/02/2021

Step 1

In statistics, a statistic is a single measure of some attribute of a sample (e.g., its arithmetic mean or its median). Show more…

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What does it mean if a statistic is resistant?

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Key Concepts

Robustness

Robustness in statistics refers to the ability of a method or estimator to provide reliable results even when there are deviations from ideal conditions, such as the presence of outliers or violations of model assumptions. A resistant statistic is a type of robust statistic, since it maintains its performance and reliability in the face of anomalies in the data.

Resistant Statistic

A resistant statistic is one that remains relatively unaffected by extreme values or outliers in a data set. It provides a more reliable measure of central tendency or spread when the data includes irregular or anomalous points that could otherwise distort non-resistant measures.

Outliers

Outliers are data points that differ significantly from other observations in the dataset. Their presence can skew results and lead to misleading conclusions if the chosen statistic is not resistant. Recognizing and handling outliers is therefore crucial in statistical analysis.

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