Estimating the Number of False Null Hypotheses When Conducting Many Tests

نویسندگان

  • Dan Nettleton
  • J. T. Gene Hwang
چکیده

Mosig et al. (2001) propose an intuitively appealing method for estimating the number of null hypotheses that are false in a multiple test situation. They present an iterative algorithm that relies on the distribution of observed -values to obtain their estimator. We characterize the limit of their iterative algorithm and show that their estimator can be computed directly without iteration from the observed distribution of -values.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Estimating the Proportion of False Null Hypotheses among a Large Number of Independently Tested Hypotheses

We consider the problem of estimating the number of false null hypotheses among a very large number of independently tested hypotheses, focusing on the situation in which the proportion of false null hypotheses is very small. We propose a family of methods for establishing lower 100(1−α)% confidence bounds for this proportion, based on the empirical distribution of the p-values of the tests. Me...

متن کامل

Estimating the Proportion of False Null Hypotheses among a Large Number of Independently Tested Hypotheses by Nicolai Meinshausen

We consider the problem of estimating the number of false null hypotheses among a very large number of independently tested hypotheses, focusing on the situation in which the proportion of false null hypotheses is very small. We propose a family of methods for establishing lower 100(1 − α)% confidence bounds for this proportion, based on the empirical distribution of the p-values of the tests. ...

متن کامل

A direct approach to estimating false discovery rates conditional on covariates

Modern scientific studies from many diverse areas of research abound with multiple hypothesis testing concerns. The false discovery rate is one of the most commonly used error rates for measuring and controlling rates of false discoveries when performing multiple tests. Adaptive false discovery rates rely on an estimate of the proportion of null hypotheses among all the hypotheses being tested....

متن کامل

A regression framework for the proportion of true null hypotheses

The false discovery rate is one of the most commonly used error rates for measuring and controlling rates of false discoveries when performing multiple tests. Adaptive false discovery rates rely on an estimate of the proportion of null hypotheses among all the hypotheses being tested. This proportion is typically estimated once for each collection of hypotheses. Here we propose a regression fra...

متن کامل

SLIM: a sliding linear model for estimating the proportion of true null hypotheses in datasets with dependence structures

MOTIVATION The pre-estimate of the proportion of null hypotheses (π(0)) plays a critical role in controlling false discovery rate (FDR) in multiple hypothesis testing. However, hidden complex dependence structures of many genomics datasets distort the distribution of p-values, rendering existing π(0) estimators less effective. RESULTS From the basic non-linear model of the q-value method, we ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003