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Related Concept Videos

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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Estimating Population Standard Deviation01:26

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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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What are Estimates?01:06

What are Estimates?

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It isn't easy to measure a parameter such as the mean height or the mean weight of a population. So, we draw samples from the population and calculate the mean height or mean weight of the individuals in the sample. This sample data acts as a representative measure of the population parameter. These sample statistics are known as estimates. 
The estimate for the mean of a sample is denoted by ͞x, whereas the mean of the population is designated as μ. Further, parameters such...
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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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One-Way ANOVA: Equal Sample Sizes01:15

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One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
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Mapping Cortical Dynamics Using Simultaneous MEG/EEG and Anatomically-constrained Minimum-norm Estimates: an Auditory Attention Example
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Power estimation for non-standardized multisite studies.

Anisha Keshavan1, Friedemann Paul2, Mona K Beyer3

  • 1Department of Neurology, University of California, San Francisco, CA, USA; UC Berkeley-UCSF Graduate Program in Bioengineering, San Francisco, CA, USA.

Neuroimage
|April 5, 2016
PubMed
Summary
This summary is machine-generated.

Multisite neuroimaging studies can achieve reliable results without data harmonization. A new statistical framework and power equation help researchers select sites based on scaling factor variability, ensuring robust findings across diverse scanners and sequences.

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Area of Science:

  • Neuroimaging
  • Medical Image Analysis
  • Statistical Modeling

Background:

  • Multisite neuroimaging studies face challenges with scanner and sequence variability potentially obscuring true biological effects.
  • Current harmonization methods require standardization or phantom-based corrections, which can be resource-intensive and impractical.

Purpose of the Study:

  • To propose a novel statistical framework that bypasses the need for data harmonization and phantom-based corrections in multisite neuroimaging studies.
  • To develop a power equation for defining site inclusion criteria based on the variability of estimated regional volume scaling factors.

Main Methods:

  • Estimated scaling factors for 20 heterogeneous scanners across the US and Europe using a single cohort of 12 subjects.
  • Applied Freesurfer's segmentation algorithm for regional volume estimation and ordinary least squares for scaling factor calculation.
  • Validated scaling factors through power curve comparisons, leave-one-out calibration, and pre/post-calibration agreement analysis.

Main Results:

  • Demonstrated that regional volume bias scales between sites due to scanner and sequence differences.
  • Derived a power equation enabling the determination of conditions where harmonization is unnecessary to achieve 80% statistical power.
  • Successfully defined inclusion criteria for multisite studies based on scaling factor variability.

Conclusions:

  • The proposed framework offers a method to inform the selection of processing pipelines and outcome metrics for multisite studies.
  • This approach facilitates collaborations between diverse clinical and research institutions by providing a data-driven site selection strategy.
  • Enables robust multisite neuroimaging research without the need for extensive data harmonization or phantom calibration.