# Questions tagged [false-positive-rate]

In a test for a condition (such as a disease) the false positive rate is the proportion of subjects incorrectly classified as having the condition.

56 questions
Filter by
Sorted by
Tagged with
18 views

### What does positive likelihood ratio mean outside of medicine?

I am a meteorologist and I regularly hear of POD (we call it probability of detection) $POD = \frac{TP}{TP+FN}$ as well as FAR (False Alarm Rate) $FAR = \frac{FP}{FP+TN}$. But I recently had a ...
• 123
19 views

### False positive correction categorical data

I am trying to understand how to correct for chance categorisation as either impaired/not impaired across a range of measures. Briefly, I am looking to summarise prevalence statistics across ~40 ...
1 vote
18 views

### PPV with two tests

There are two tests for a disease. Its prevalence is equal to 0.5. Test A has a sensitivity of 0.7 and a specificity of 0.7. Test B has a sensitivity of 0.8 and a specificity of 0.9. Assume that both ... 1 vote
16 views

### Create dataset by sampling from near-boundary of binary classifier to improve accuracy

Say I have some binary classifier $f: X \to [0, 1]$. I think the following bi-stage training method is straightforward to reduce error. Step1. Sample uniformly from $X$ and create dataset with ...
17 views

### Performance metrics for time series anomaly detection with rolling horizon

I have a time series problem, where I am trying to find indication of break-down of machines in a factory based on a set of features related to said machines and their function (e.g. hours working, ...
66 views

### How to reduce the number of false positives in object detection in fusion pipeline?

I am training a sequential fusion network using first in image and then in LiDAR point cloud. Specifically, I tend to using the result of image detection result, to improve the performance for far ...
20 views

### Harmonic mean of false positive and false discovery rates (analogous to F1)

F1 is the harmonic mean of recall (aka sensitivity, or true positive rate, TPR) and precision (aka positive predictive value, PPV). $\text{TPR} = \text{Pr(predicted:Pos | Pos)} =$ TP/P (wikipedia ...
• 101
35 views

### Calculate probability of alarm and the posterior probability of this alarm being false over different frequencies of output

I have the following information for an automatic detection system that output a warning when a signal is detected: Specificity: .99 (i.e. a false positive rate $FP = .01$) Sensitivity: .9 (i.e. a ...
1 vote
21 views

### If AUC is 1 can be FNR 0.03?

If AUC (Area under Curve) is 1, do we expect FNR (False Negative Rate) be 0? For example, can FNR be 0.03?
• 221
1 vote
133 views

### How to interpret ROC curve if my FPR (X-axis) values ranges from 0 to 0.02?

I am plotting the ROC curve for my classification problem. The results I am getting for the problem are TPR ranges from 0 to 1, but the FPR ranges from 0 to 0.02. I have plotted the ROC curve by ...
1 vote
15 views

### Can a low rate of true positives minimise false negatives?

I am analysing thousands of scientific pictures which all show a similar light pattern, trying to identify local anomalies on the pictures. As it is nearly impossible to inspect each single image due ...
• 11
26 views

### Does contamination in the training dataset change the distribution of the predicted probability of the model?

While using a not regularized loss function, oversampled simply binary classification dataset, I observed that whenever I am adding correctly classified examples, there is no change in the ...
• 31
57 views

### Does threshold on the model probability depend upon the spread in the dataset among positive and negative classes (binary classification)?

I think that the threshold on model probability through which one discern positive (y=0) and negative(y=1) class depends on the spread in the training dataset b/w y=0 and y=1. This question came when ...
• 31
1k views

### why I am getting TP and FP in confusion matrix is 0, how to get it right?

why I am getting TP and FP in confusion matrix is 0, how to get it right? tp = 0,fp = 0,tn = 9847,fn = 18
85 views

### When using ROC curves for WWII Radars, what was the TN?

One of the origins of ROC curves seems to be to compare radar systems in WWII (source). How did they actually compute the False Positive Rate when they didn't have an estimate for True Negatives? If I ...
• 53
34 views

### False and true positives in research

Let's suppose that there's a new apple tree disease, and there exists a test for the disease that has a false positive rate of 5%, the test produces no false negatives (if an apple tree has the ...
2k views

### Relationship between Recall, TPR, FPR and Precision

Can Precision and Recall be used to Generate TPR or FPR? In other words, is there any formula that relates the following Evaluation metrics? True Positive Rate (TPR) with either Precision or Recall (...
• 21
58 views

### Analytic expression for false-negative rate of binomial tests?

I wrote a previous question yesterday which was maybe too long and boring to read. So to try to get an answer, I've boiled down my question to something short and specific which is: Is there an ...
847 views

### How many coin flips are needed to reliably know a coin of weight w is unfair?

I want to find out how many flips I need to flip a coin to reliably know that it is an unfair coin. The issue is that as the coin becomes closer to 50/50, the more false-negatives you will have if you ...
133 views

### Is Partial Correlation useful for noisy data?

Explaining The Problem Important question in data analysis is testing observed relationships for confounding factors. Partial Correlation is a metric designed to do specifically that. The general idea ...
• 1,749
2k views

### Reduce false positive in extremely high imbalance testing set

I have built a CNN model to classify positive and negative in my data, the accuracy is around 85% with FPR is 16%. I know the FPR is high but it gives an acceptable number of FP in training and ...
• 1
217 views

### ROC curve from an array of Confusion Matrices (true positive rates and false positive rates)

How can we create an ROC curve from an array of Confusion Matrices (true positive rates and false positive rates)?
• 1,346
13k views

### Best way to reduce false positive of binary classification to exactly 0?

I'm working on a task that even a 0.00001 fp rate is not acceptable, because detecting something as a positive when its not will have very bad consequences in this task, so it needs to be exactly 0 ...
• 245
339 views

### Formula for expected false positive & negative rates in hiring decisions based on r

I would like to look at the size of the expected false positive and false negative rates in employment hiring decisions. Let's assume that it is useful to dichotomize job performance after hiring. ...
• 3,116
598 views

### Does up-sampling lead to lots of false positives in production?

Say we have a dataset with a binary outcome variable that takes the positive case (outcome = 1) roughly 20% of the time. Often, we would modify the training set by ...
• 173
1 vote
40 views

### Sensitivity and specificity with multiple sequential tests

This has been on my mind for a while, and I would appreciate a statistician's view on the matter. Suppose that a given test has sensitivity $a$ and specificity $b$. Now, periodically apply this test ...
149 views

### Estimating positive and negative predictive value without knowing the prevalence

There is a lot of discussion about the positive predictive value of a test currently. I know that if I know specificity, sensitivity of a test and the prevalence $p$ in the sample, then I can easily ...
• 2,469
85 views

### Correlation between two non-independent samples (dichotomized data / multiple testing)

I've been looking through text books but unable to find a precise answer to this question, but it seems important so maybe I'm looking in wrong places. Imagine some population with a normal ...
• 261
68 views

### How do you cope with the risk of false-positives in exploratory analysis?

Let's say that I'm running exploratory analysis on a dataset. For instance, let's say that the dataset consists of several features and two groups and I want to see which features are significantly ... 76 views

### Aren't all tests sensitive to the prevalence of a disease in the population?

I'm trying to understand the difference between the false-positive rates of two kinds of COVID-19 tests: PCR and antibody. The former indicates if someone is currently sick. The latter indicates if ...
• 161
749 views

### How can I fix type 1 error for my logistic regression model?

I am testing if the sound pressure levels(rms) of shipping noise affect the presence or absence of the fin whales by acoustic monitoring for 4 months of data from one location. Here my response ...
1 vote
114 views

### How to bias against false positives given estimate and standard deviation?

For 1000 newsletter recipients, I crudely estimate the likelihood (p) of them reading the next email sent as: ...
• 301
113 views

### If a false positive rate of α is desired, what is the acceptable range of false positives one would expect from a sample size of n?

For instance, suppose I design a test to have a false positive rate of 5%. I am going to perform this test on what is assumed to be an all negative population. If my sample size was 20, I would expect ...
• 101
1 vote
20 views

### Procedure to Smooth Noise for Threshold Values

Suppose I am looking at an estimate $\hat\beta$ in a clinical trial data. With $a=.05$, a patient with $\hat\beta>1$ is considered to have some medical condition. A daily example could be a 24-hr ...
769 views

### Base rate of accuracy after resampling for classification problems

If I had an imbalanced dataset with 10% positive instances and 90% negative ones, the base rate for accuracy before resampling is 90%. But what about I resampled the data such that I have an equal ...
1 vote
115 views

### Deriving a loss function properly accounting for different error type costs

Consider a classification setting like a medical test: Not finding an existing health issue might be much worse (by a factor of 50) than assuming an issue when there is none. I.e. a setting in which ...
• 161
103 views

### What is "positive"?

I'm deeply confused by some concepts. We often hear the term true/false positive/negative. While it is straightforward to tell if the result is true or false, I ...
• 153
1 vote
386 views

### FPR in Confusion Matrix

I was trying to manually calculate $\text{TPR}$ and $\text{FPR}$ for the given data. But unfortunately I dont have any false positive cases in my dataset and even no true positive cases. So I am ...
245 views

### Oversampling/Undersampling in respect to Train and Test - Isolation Forest

I've got a quite imbalanced data set. 144.496 : 162 -> ratio of 1000:1 I would like to use IsolationForest to detect the 162 anomalys. I've already split the data. However, the iForest doesn't ...
484 views

### False positive/negative rate in ridge and lasso regressions

I have a confusion matrix of true and estimated $\boldsymbol{\beta}$ vectors of lasso and ridge models from a replicate of a simulation study, say. The following tables illustrate the scenario. \...
• 283
186 views

### How to make sense of both high FNR and NPV?

So, even though this is one of the most basic and already explained things about statistics I always seem to find way not to get it. Having this table which shows high Negative Predictive Value (352/...
1 vote
155 views

### SVM probability output threshold as (1 - FPR)?

I have a binary SVM with probability output (via Platt scaling). I want to set a threshold on the probability outputs since I want to trade off making false positives/negatives. Is it possible to ...
• 93
88 views

### How to interpret a False Discovery Rate plot

It is the first time that I am trying to calculate the FDR and I use the fdrtool package in R. I want both, local and tail area graphs and I think the third ...
• 21
13 views

### Estimating false accept rates from imposter scores below a threshold

I have a system that compares two items and produces a match score. Scores below a threshold are manually inspected to determine if they match or don't(imposter). Scores above the threshold are ...
150 views

### Is most published research indeed false?

I have come across (Ioannidis, 2005) which explains several reasons (mainly statistics-related, that's why I post this question here) to justify the claim that most published research is indeed false. ...
• 2,500
37 views

### Optimal solution for false positive effect on business strategy

I am facing a challenge to reach an optimal solution. I will try to explain with an example : Suppose I have created an algorithm to predict if a customer will subscribe to bank deposit plan or not. ...
204 views

### Is it possible to estimate accuracy, precision and recall with the given data?

Background: I talked to my friend today and according to herm(him/her) I can calculate precision, recall and accuracy with the current information. Total instances T: 19,532. Instances belonging to ...
• 171
1 vote
38 views

### Exclude areas of feature space without getting false negatives

I am using a decision tree classifier to split the feature space according to two classes ( A and B). Events of class A are important and I want to classify all of them correct, i.e. no false ...
• 11
27 views

### Estimating true positive rate with a confidence interval given a classifier + unknown dataset truths

Let's say I've built a binary classifier - one that for instance, can classify whether a particular transaction is fraudulent or not. This classifier outputs a 1 or a 0, with a given degree of ...
• 101