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Related Concept Videos

Estimating Population Standard Deviation01:26

Estimating Population Standard Deviation

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When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of σ. However, it can sometimes under or overestimate the population standard deviation. To overcome this drawback, confidence intervals are determined to estimate population parameters and eliminate any calculation bias accurately. However, this only applies to random samples from normally distributed populations. Knowing the sample mean and...
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Estimating Population Mean with Known Standard Deviation01:16

Estimating Population Mean with Known Standard Deviation

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To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate +...
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Cluster Sampling Method01:20

Cluster Sampling Method

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Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
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Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

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In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
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Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

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The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
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Sample Size Calculation01:19

Sample Size Calculation

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Knowledge of the sample size is the first requirement to conduct random sampling or an experiment. The sample size is the total number of units, observations, or groups (in some cases) used to get the data to estimate a population parameter. As the name suggests, the sample size is that of the sample drawn from the population and differs from the population size.
The sample size for the given experiment or sampling effort is fundamental to any study design. Sample size decides the number of...
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Updated: Dec 2, 2025

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
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JHU-CROWD++: Large-Scale Crowd Counting Dataset and A Benchmark Method.

Vishwanath A Sindagi, Rajeev Yasarla, Vishal M Patel

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    |November 4, 2020
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    Summary
    This summary is machine-generated.

    A new large-scale crowd counting dataset, JHU-CROWD++, was released with diverse scenarios. A novel network, Confidence Guided Deep Residual Counting Network (CG-DRCN), was proposed, achieving significant improvements in crowd density estimation.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Crowd counting is crucial for public safety and resource management.
    • Existing datasets often lack diversity in scenarios, weather, and illumination, limiting model generalizability.
    • Accurate crowd density estimation in unconstrained environments remains a significant challenge.

    Purpose of the Study:

    • To introduce JHU-CROWD++, a large-scale, diverse dataset for unconstrained crowd counting.
    • To propose a novel deep learning network for progressive crowd density map generation.
    • To evaluate the effectiveness of the proposed network on challenging datasets.

    Main Methods:

    • Developed JHU-CROWD++ dataset with 4,372 images and 1.51 million annotations, featuring diverse conditions (weather, illumination).
    • Proposed Confidence Guided Deep Residual Counting Network (CG-DRCN) using VGG16 backbone.
    • Employed progressive density map generation via residual error estimation with uncertainty-based confidence weighting.

    Main Results:

    • JHU-CROWD++ dataset provides a challenging benchmark for crowd counting research.
    • CG-DRCN achieved significant improvements in crowd density estimation errors compared to recent methods.
    • The confidence weighting mechanism effectively guided the refinement of density maps.

    Conclusions:

    • JHU-CROWD++ dataset advances crowd counting research by offering unprecedented diversity and scale.
    • CG-DRCN demonstrates a promising approach for accurate crowd density estimation in complex scenarios.
    • The proposed method highlights the importance of uncertainty-aware learning for robust crowd counting.