Questions tagged [signal-detection]

Signal Detection Theory (SDT) explains how a receiver detects a signal in noise as a function of the receiver's sensitivity to the signal & the receiver's bias or tendency to assert the presence of the signal whether it is there or not.

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Detection Theory minimax with non differentiable interior

The minimax is used in detection theory and decision theory for minimizing the overall average risk for the worst case prior. $$ \min_{\delta} \max_{\pi_0} r(\pi_0,\delta) = \max_{\pi_0} \min_{\delta}...
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ROC curve, d' A' - assumption-free?

In my research I want to know how reliably certain feature of a sentence indicates the class that sentence belongs to. So, according to that feature (=how many elements X they contain), the ...
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20 views

Finding exponential decay in noisy vibration signal

I have to analyse vibrational signals for which the general assumption is that there is one dominant excitation and an exponential decay in amplitude thereafter. I have created smoothened envelopes ...
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35 views

How to deal with differently skewed biological data?

I have a single-cell data set with around 40 variables per cell (protein expression, all variables are measured simultaneously). The expression distributions for the single channels look quite ...
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4 views

Can a multivariate “limit of detection” be defined that accounts for the shape of a signal?

The definition of the limit of detection given by the IUPAC Gold Book is this: The limit of detection, expressed as the concentration, $c_L$, or the quantity, $q_L$, is derived from the smallest ...
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Does the procedure of progressively adding noise have a name?

I want to make a qualitative estimate of the amount of noise in my dataset $X$. For that purpose, I use a certain information estimator $F(X)$ (for example, mutual information between two different ...
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32 views

Is signal detection theory a Bayesian approach?

Signal detection theory can be applied to modeling perception thresholds for defined stimuli, for example the detection of the presence of a specific signal. It is assumed both the stimulus intensity ...
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12 views

Ideal observer test: which root is the correct one?

Given two pdfs of the signal when a target is present p(x|K)] and where there is only nois p(x|H)] I need to find an analytical solution for the ideal observer test: meaning that I need to find x. ...
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Change point detection applicable to pulsar signals?

Little background on pulsar timing research. A millisecond pulsar has a very stable pulsar 'profile', or characteristic pulse, and is like a fingerprint for each pulsar. However, at times, the pulsar ...
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33 views

Unbalanced experimental design for GLMER model

Suppose I have an unbalanced experimental design with more distractors (N=48) than targets (N=24). Would it be okay to run a mixed effect logistic regression analysis on this data? Or is it preferred ...
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3 views

How can you test whether two samples of noisy data differ by the inclusion of one (or more) signals

Tldr; I am wondering If there is a test that enables you to compare two samples A and B of data, and robustly test the hypothesis that A contains a real signal, if B is certain to contain no signal, ...
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29 views

Signal Detection Theory: correct rejections - what underlying processes?

Suppose we have a word recognition task, on the basis of which we compute the four rates defined in Signal Detection Theory as Hits, False Alarms, Correct Rejections, and Misses (HR, FAR, CRR, MR). ...
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Estimation and detection in communication problem?

I just want to get clear conceptually about the difference between detection and estimation in terms of a communication problem. Suppose I have a source and a destination. The source transmits binary ...
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37 views

Interpreting Dprime values

I had an unbalanced design in my experiment, therefore instead of running logistic regression models for the analysis I calculated Dprime values for each experimental condition and then took these d' ...
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1answer
30 views

Chance&ceiling performance when using non-standardised hit&false-alarm rates

What is lost/missed out on if defining d', the sensitivity index from Signal Detection Theory, based on non-standardised rates? For example, Patel et al. 2008, for a task where normal and anomalous ...
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115 views

What are the correct rejection- and miss-rate used for?

Say we have a two-alternative forced choice task on the basis of which we compute the four rates defined in signal detection theory, relating to hits, false alarms, correct rejections, and misses (HR, ...
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51 views

Signal detection theory: one-interval design (= yes-no task) and 2AFC design, test power and sample size

my research group and I read some more about signal detection theory and we were not able to find answers concerning the following questions. Therefore, we would appreciate your help very much! 1) We ...
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How does d-prime calculation relate to binomial mixed models with probit link?

for a study I tested participants in a same-different task (1AFC) about melodies. There were 3 versions of each melody (within-subjects factor "version"). So d-prime seems the natural response/...
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192 views

How do I calculate d' from experimental data?

In Signal Detection Theory, d' is defined by the z-scores of Hits and False Alarms: d' = z(Hits) - z(False Alarms). Say the task is to detect if a certain object is present in a series of pictures, ...
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305 views

Pointwise Mutual Information (PMI) and Information Component (IC)

Pointwise Mutual Information (PMI) and the Information Component (IC) formula (https://link.springer.com/article/10.2165/00002018-200225060-00002) seem to be the same, PMI is mainly used in natural ...
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1answer
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Proving that a maximum exists when finding the optimal criterion in SDT

When deriving that there is an optimal criterion in the Signal Detection Theory literature that maximizes Proportion Correct (PC), we usually arrive at the following expression by setting the first ...
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1answer
52 views

Is there an accepted way to interpret d' (d-prime) for evidence of detection

I have run a learning experiment, with a yes-no familiarity test at the end, and computed d' across various conditions. Is there some rule of thumb (perhaps dependent on sample size) as to how d' ...
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162 views

Why does d-prime of average hit and false alarm rates differ from the average d-prime of individual cases?

I'm reporting d-prime for a set of IDs. After setting a dprime() function, I use it to compute d-prime for each ID based on their hit and false alarm rates, saved ...
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273 views

A' (A prime) for extreme Hit rates and False Alarms

I am trying to compute the non parametric measure of sensitivity A' according to the following formula reported by Stanislav & Todorov (1999): $$ A'= .5+sign(H-F)*((H-F)^2+abs(H-F))/(4*max(H,F)-4*...
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325 views

HMM depmixS4 using a vector of known states to fit model

I am using the depmixS4 package to fit HMMs to RNAseq count data. My workflow is as follows: Stack reads into a 'stack' vector which looks like this: ...
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What is a technique for extracting the data pattern from experimental replicates?

I collect the data of air pollution over the year. The data is 2D where the first axis is discrete scale (mass of pollutants in integer; 50, 51, 52...) and another axis is continuous scale (intensity)....
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67 views

Hit-&false-alarm-rates: cases of undefined denominator

I wish to apply SDT for an experiment whereby, while listening to a piece of music, subjects were asked to press a key when detecting a certain cue in the music. Based on the parts of the piece where ...
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1answer
354 views

Computing z-scores for hit & false-alarm rates in Signal Detection Theory

For each subject in my sample, I need to compute a sensitivity index, d-prime, defined in Signal Detection Theory as d' = z(HR) - z(FAR) where HR and FAR are the ...
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64 views

Building Neyman-Pearson test in 2D-space having only data for $H_0$ and $H_1$

Suppose we have some statistical data which is points in 2D-space. More precise sample space is upper right quarter of $\mathbb{R^2}$: $$\Omega = \{X | X=(x_1, x_2),\, x_1, x_2\in \mathbb{R_+}\}$$ ...
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How can I best determine the Signal/Noise of a pulsed signal?

I have this pulsed signal, and I would like to quantify the signal to noise ratio. Is there a preferred way to do this? My current approach is to filter the points that are obviously part of the ...
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16 views

How to obtain a signal/noise measurement from a video without a background control

I have a video with a periodic process that can be seen as a change in brightness of the frame. I am measuring the process by calculating the average brightness value of the frame and plotting it over ...
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724 views

Negative D-prime values; use absolute values?

I have calculated D-prime measurements for for a memory performance task. Subjects viewed images that were either old or new and had to indicate their response via a button press. Thus, their response ...
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50 views

Kurtosis to detect non-random signals in a spectrum

I have a spectrum that was created from a time series using the FFT. The spectrum has several man-made "channels" in it; some of these are one-bin wide, some are several adjacent bins wide (larger ...
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1answer
59 views

EEG waves measuring statistical significance of an event

I have recently gotten into a problem with EEG activity measurement. I need to prove (or disprove) that certain event triggered a statistically significant reaction in EEG activity. I know exactly at ...
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What is the distribution of $d'$?

In my experiment, repeated measures of $d'$ (computed from hit and false alarm rates) are computed for a small number of subjects (<10) under multiple (10) conditions. Primarily, I am interested to ...
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3answers
546 views

Confusion between true negatives and false positives (double negation?!)

Given the below term definitions ..my question is: why is the logical negation (opposite) of a false negative not a true negative? This would imply 1-α=β, which does not have to be the case. And ...
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Detecting a tremor given accelerometer data

I'm trying to figure out what technique to use in order to detect a tremor in accelerometer data. I have the acceleration in the x, y and z coordinates. I've plotted 4 graphs of this data below with ...
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524 views

Neural networks and signal-to-noise ratio

My guess is that neural networks do not work very well in noisy environments, i.e. the lower the signal-to-noise ratio, the worse the result of a neural network, if compared to other statistical ...
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39 views

Signal Extraction

I have following problem to show: let scalar valued signal $X_t$ be transmitted at time $t$ and received $Y_t = X_t + \epsilon_t$. Where $\epsilon_t$'s are zero mean noise. Suppose $E[X_t]=0$ for all ...
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182 views

Proportion of variance explained, prediction accuracy, and noisy criterion variables

A given criterion measure is corrupted by noise such that only 60% of its variance is attributable to a true signal. This noisy measure of outcome is regressed against some number of predictors and a ...
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1answer
288 views

Test for fractional Brownian motion in Matlab

Is there a test in Matlab if a time series satisfies properties of being a fractional Brownian motion?
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23 views

periodicity within Signal [closed]

I am actually measuring the current of a dc motor, it takes values between, and I want to be able to find periodic peaks within my signal. My motor is connected to a spindel, the goal is to detect any ...
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1k views

What should I use to establish a threshold to detect threshold crossings?

I have data graphed in green here: I want to detect the peaks but I don't know how to define the threshold values. The blue lines are mean ± standard deviation. Using that, I would miss the three ...
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1answer
301 views

Statistical analysis of fourier transform of a 2D image (freaking AMAZING)

I'm a statistics grad student, and I just started getting into Digital-Image-Processing (an analogy for processing super-large contingency tables). In the book "Digital Image Processing" by Gonzalez ...
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131 views

Interpretation of diagonal detail for a 2D (Haar) Wavelet Transform

I am a statistics grad student, and I have just began exploring the topic of wavelet regression (specifically, Haar wavelets for discrete functions). I understand the generalization from a one ...
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8k views

What is the two alternative forced choice paradigm

Is a two alternative forced choice paradigm (2AFC) an experimental design?
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98 views

CNN localizing object?

For classying images/objects CNNs are one possible or even the state-of-the-art solution but what if one wants to localize an object in an image? I thought if I use only convolutional layers without (...
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How to determine what % of variance is due to noise (with limited data)

this is a difficult question and perhaps not answerable without further data. I have a list of staff that get monthly scores that are averages of customer ratings. (95%, 75%, 89%) So, the most ...
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3answers
429 views

find peaks from response signal

My subject is to model the response of micro-organisms to the pollution of the media (one specific pollutant). We analyse the response (production of a substance) through time that is linked to the ...
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Evaluation of circle detectors

I have several circle detectors. I want to evaluate their performance in finding the spherical steel markers in X-ray images. The radii of the circles are distributed in a narrow range around 8 px. ...