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False Discovery Rate

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1 Why is multiple testing a problem?

1 Why is multiple testing a problem?

www.stat.berkeley.edu

controlling the false discovery rate (FDR). This is de ned as the proportion of false positives among all signi cant results. The FDR works by estimating some rejection region so that, on average, FDR < . 4 The positive False Discovery Rate The positive false discovery rate (pFDR) is a bit of a wrinkle on the FDR. Here, you try to

  Rates, Discovery, False, False discovery rates

One ROC Curve and Cutoff Analysis

One ROC Curve and Cutoff Analysis

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False Discovery Rate (FDR) = B / (A + B) The false discovery rate is the proportion of the units with a predicted positive condition for which the true condition is negative. Whole Table Rates The following rates are proportions based on all the units.

  Rates, Discovery, False, False discovery rates

Lecture 10: Multiple Testing

Lecture 10: Multiple Testing

www.gs.washington.edu

False Discovery Rate m 0 m-m 0 m V S R Called Significant U T m - R Not Called Significant True True Total Null Alternative V = # Type I errors [false positives] •False discovery rate (FDR) is designed to control the proportion of false positives among the set of rejected hypotheses (R)

  Rates, Discovery, False, False discovery rates

2 FDR(False Discovery Rate) の定義 - Nanzan U

2 FDR(False Discovery Rate) の定義 - Nanzan U

www.st.nanzan-u.ac.jp

2 FDR(False Discovery Rate)の定義 前もって与えられたm個の仮説を同時に検定する問題を考える。そのうちm0 個は未知 である真の帰無仮説、m1 個は未知である偽の帰無仮説とする。(m = m0 + m1 となる。) また、R は検定によって棄却される仮説の数を表す確率変数 ...

  Rates, Discovery, False, False discovery rates

Type I and Type II errors

Type I and Type II errors

www.stat.berkeley.edu

The false discovery rate (FDR) is given by ( ) ( ) V V E E V S R = + and one wants to keep this value below a threshold α: The Simes procedure ensures that its expected value ( ) V E R is less than a given α (Benjamini and Hochberg 1995). This procedure is only valid when the m tests are

  Rates, Discovery, False, False discovery rates

SOCIAL SCIENCE The spread of true and false news online

SOCIAL SCIENCE The spread of true and false news online

politics.media.mit.edu

The spread of true and false news online Soroush Vosoughi, 1Deb Roy, ... of true and false news at the same rate, implying that false news spreads more than the truth because humans, not robots, are more likely to spread it. ... like the discovery of the Higgs boson (13) or the Haitian earthquake of 2010 ( 14), and

  Rates, Discovery, False

ASSAY DEVELOPMENT IN DRUG DISCOVERY

ASSAY DEVELOPMENT IN DRUG DISCOVERY

www.uab.edu

-High rate of noise ... -Disadvantages: Prone to false positives due to auto fluorescence of compound Examples: - FRET, TR-FRET - Fluorescence polarization (FP) ... High Content Screening in Drug Discovery. DMSO 5 nM 20 nM 80 nM 0.32 µM 1.25 µM 5 µM 10 µM 0 100 200 300 400 500 600 700 800

  Rates, Discovery, False

Comparing Two ROC Curves – Paired Design

Comparing Two ROC Curves – Paired Design

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A receiver operating characteristic (ROC) curve plots the true positive rate (sensitivity) against the false positive rate (1 – specificity) for all possible cutoff values. General discussions of ROC curves can be found in Altman (1991), Swets (1996), Zhou et al. (2002), and Krzanowski and Hand (2009). Gehlbach (1988) provides an

  Rates, False

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