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Related Concept Videos

Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

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A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
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Behrens–Fisher Test00:57

Behrens–Fisher Test

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The Behrens-Fisher test is a statistical method designed to address the Behrens-Fisher problem, which arises when comparing the means of two normally distributed populations with unequal variances. Unlike the Student's t-test, which assumes equal variances, the Behrens-Fisher test allows for mean comparison without this restrictive assumption. This flexibility makes it particularly valuable in scenarios where two independent samples exhibit normality but lack variance homogeneity.
This test...
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Standard Error of the Mean01:13

Standard Error of the Mean

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The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is typically measured by measuring its standard error.
The standard error of the mean is an example of a standard error. It is a unique standard deviation known as the standard deviation of the sampling distribution of the mean. The standard error of the mean is a statistic that calculates how correctly a sample distribution represents a...
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Mean Absolute Deviation01:13

Mean Absolute Deviation

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The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data values and the mean.
Let us consider a dataset containing the number of unsold cupcakes in five shops: 10, 15, 8, 7, and 10. Initially, calculate the sample mean. Then calculate the deviation, or the difference, between each data value and the mean. Next, the absolute values of these deviations are added and divided by the sample size to...
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Testing a Claim about Mean: Unknown Population SD01:21

Testing a Claim about Mean: Unknown Population SD

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A complete procedure of testing a hypothesis about a population mean when the population standard deviation is unknown is explained here.
Estimating a population mean requires the samples to be approximately normally distributed. The data should be collected from the randomly selected samples having no sampling bias. There is no specific requirement for sample size. But if the sample size is less than 30, and we don't know the population standard deviation, a different approach is used;...
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Standard Deviation01:10

Standard Deviation

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The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The standard deviation value is small when the data are concentrated close to the mean, exhibiting slight variation or spread. The standard deviation value is never negative, it is either positive or zero. The standard deviation is larger when the data values are more spread out from the mean, which means the data values are exhibiting more variation.
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Assessing the Accuracy of Fitness Smartwatch Data for Cardiovascular and Physical Activity Monitoring: A Validation Study in Digital Health
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Has the Time Come to Stop Using the "Standardised Mean Difference"?

Pim Cuijpers1

  • 1Department of Clinical, Neuro and Developmental Psychology, Amsterdam Public Health research institute, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands.

Clinical Psychology in Europe
|November 18, 2022
PubMed
Summary
This summary is machine-generated.

The standardized mean difference (effect size) is a common meta-analysis tool but has limitations. Understanding these issues and considering alternatives like binary outcomes can improve clarity and interpretation.

Keywords:
effect sizemeta-analysisoutcome studiesstandardised mean difference

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Area of Science:

  • Biostatistics
  • Medical Research Methodology

Background:

  • Meta-analyses commonly employ the standardized mean difference (SMD) to synthesize study outcomes.
  • The SMD, while prevalent, possesses inherent limitations impacting its interpretation and application.

Purpose of the Study:

  • To critically examine the limitations of the standardized mean difference in meta-analyses.
  • To propose alternative approaches for enhancing the clarity and clinical relevance of effect size reporting.

Main Methods:

  • A review of the conceptual and practical challenges associated with the SMD was conducted.
  • Alternative effect size metrics, including the binomial effect size display and number-needed-to-treat, were explored.
  • The utility of binary outcomes for continuous data was considered.

Main Results:

  • Key limitations of the SMD include its abstract statistical nature, potential misinterpretation of clinical significance, unmet statistical assumptions, and difficulty in communicating findings to non-researchers.
  • The binomial effect size display and number-needed-to-treat offer more intuitive interpretations.
  • Binary outcomes may enhance understandability, though selecting the optimal binary outcome for continuous data remains challenging.

Conclusions:

  • The standardized mean difference remains a valuable tool in meta-analysis when its limitations are acknowledged.
  • Incorporating binary outcomes alongside SMD can improve the accessibility and interpretability of research findings.