Bonferroni Test

AAA

DEFINITION of 'Bonferroni Test'

A type of multiple comparison test used in statistical analysis. When an experimenter performs enough tests, he or she will eventually end up with a result that shows statistical significance, even if there is none. If a particular test yields correct results 99% of the time, running 100 tests could lead to a false result somewhere in the mix. The Bonferroni test attempts to prevent data from incorrectly appearing to be statistically significant by lowering the alpha value.




The Bonferroni test, also known as the "Bonferroni correction" or "Bonferroni adjustment" suggests that the "p" value for each test must be equal to alpha divided by the number of tests.






BREAKING DOWN 'Bonferroni Test'

The Bonferroni test is named for the Italian mathematician who developed it, Carlo Emilio Bonferroni (1892–1960). Other types of multiple comparison tests include Scheffe's test and the Tukey-Kramer method test. A criticism of the Bonferroni test is that it is too conservative and may fail to catch some significant findings.



RELATED TERMS
  1. Scheffe's Test

    A statistical test that is used to make unplanned comparisons, ...
  2. Sampling Error

    A statistical error to which an analyst exposes a model simply ...
  3. Normal Distribution

    A probability distribution that plots all of its values in a ...
  4. Probability Distribution

    A statistical function that describes all the possible values ...
  5. Correlation

    In the world of finance, a statistical measure of how two securities ...
  6. Statistically Significant

    The likelihood that a result or relationship is caused by something ...
Related Articles
  1. Options & Futures

    An Introduction To Value at Risk (VAR)

    Volatility is not the only way to measure risk. Learn about the "new science of risk management".
  2. Markets

    The Uses And Limits Of Volatility

    Check out how the assumptions of theoretical risk models compare to actual market performance.
  3. Active Trading Fundamentals

    Bet Smarter With The Monte Carlo Simulation

    This technique can reduce uncertainty in estimating future outcomes.
  4. Active Trading Fundamentals

    How To Convert Value At Risk To Different Time Periods

    Volatility is not the only way to measure risk. Learn about the "new science of risk management".
  5. Options & Futures

    Multivariate Models: The Monte Carlo Analysis

    This decision-making tool integrates the idea that every decision has an impact on overall risk.
  6. Mutual Funds & ETFs

    ETF Analysis: Guggenheim Enhanced Short Dur

    Find out about the Guggenheim Enhanced Short Duration ETF, and learn detailed information about this fund that focuses on fixed-income securities.
  7. Mutual Funds & ETFs

    ETF Analysis: iShares Morningstar Small-Cap Value

    Find out about the Shares Morningstar Small-Cap Value ETF, and learn detailed information about this exchange-traded fund that focuses on small-cap equities.
  8. Mutual Funds & ETFs

    ETF Analysis: iShares MSCI KLD 400 Social

    Find out about the iShares MSCI KLD 400 Social exchange-traded fund, and learn detailed information about its characteristics, suitability and recommendations.
  9. Mutual Funds & ETFs

    ETF Analysis: iShares Agency Bond

    Find out about the iShares Agency Bond exchange-traded fund, and explore detailed analysis of the ETF that tracks U.S. government agency securities.
  10. Mutual Funds & ETFs

    ETF Analysis: PowerShares DWA SmallCap Momentum

    Find out about the PowerShares DWA SmallCap Momentum Portfolio ETF, and explore detailed analysis the fund's characteristics, suitability and recommendations.
RELATED FAQS
  1. What assumptions are made when conducting a t-test?

    The common assumptions made when doing a t-test include those regarding the scale of measurement, random sampling, normality ... Read Full Answer >>
  2. What is the utility function and how is it calculated?

    In economics, utility function is an important concept that measures preferences over a set of goods and services. Utility ... Read Full Answer >>
  3. What are some of the more common types of regressions investors can use?

    The most common types of regression an investor can use are linear regressions and multiple linear regressions. Regressions ... Read Full Answer >>
  4. What types of assets lower portfolio variance?

    Assets that have a negative correlation with each other reduce portfolio variance. Variance is one measure of the volatility ... Read Full Answer >>
  5. When is it better to use systematic over simple random sampling?

    Under simple random sampling, a sample of items is chosen randomly from a population, and each item has an equal probability ... Read Full Answer >>
  6. What are some common financial sampling methods?

    There are two areas in finance where sampling is very important: hypothesis testing and auditing. The type of sampling methods ... Read Full Answer >>

You May Also Like

Hot Definitions
  1. Alligator Spread

    An unprofitable spread that occurs as a result of large commissions charged on the transaction, regardless of favorable market ...
  2. Tiger Cub Economies

    The four Southeast Asian economies of Indonesia, Malaysia, the Philippines and Thailand. Tiger cub economy indicates that ...
  3. Gorilla

    A company that dominates an industry without having a complete monopoly. A gorilla firm has large control of the pricing ...
  4. Elephants

    Slang for large institutions that have the funds to make high volumes trades. Due to the large volumes of stock that elephants ...
  5. Widow's Exemption

    In general terms, a widow's exemption refers to the amount that can be deducted from taxable income by a widow, thereby reducing ...
  6. Wedding Warrant

    A warrant that can only be exercised if the host asset, typically a bond or preferred stock, is surrendered. Until the call ...
Trading Center
×

You are using adblocking software

Want access to all of Investopedia? Add us to your “whitelist”
so you'll never miss a feature!