Algorithm AS 31: Operating Characteristic and Average Sample Size for Binomial Sequential Sampling

1970 ◽  
Vol 19 (2) ◽  
pp. 197 ◽  
Author(s):  
I. D. Hill
Keyword(s):  
Sample Size ◽  
Operating Characteristic ◽  
Sequential Sampling ◽  
Average Sample Size ◽  
Average Sample

scholarly journals Methodological Reporting Behavior, Sample Sizes, and Statistical Power in Studies of Event- Related Potentials: Barriers to Reproducibility and Replicability

2019 ◽  
Author(s):  
Peter E Clayson ◽  
Kaylie Amanda Carbine ◽  
Scott Baldwin ◽  
Michael J. Larson
Keyword(s):  
Sample Size ◽  
Statistical Power ◽  
Event Related Potentials ◽  
Reporting Guidelines ◽  
Medium Effect ◽  
Sample Sizes ◽  
Reporting Behavior ◽  
Average Sample Size ◽  
Related Potentials ◽  
Average Sample

Methodological reporting guidelines for studies of event-related potentials (ERPs) were updated in Psychophysiology in 2014. These guidelines facilitate the communication of key methodological parameters (e.g., preprocessing steps). Failing to report key parameters represents a barrier to replication efforts, and difficultly with replicability increases in the presence of small sample sizes and low statistical power. We assessed whether guidelines are followed and estimated the average sample size and power in recent research. Reporting behavior, sample sizes, and statistical designs were coded for 150 randomly-sampled articles from five high-impact journals that frequently publish ERP research from 2011 to 2017. An average of 63% of guidelines were reported, and reporting behavior was similar across journals, suggesting that gaps in reporting is a shortcoming of the field rather than any specific journal. Publication of the guidelines paper had no impact on reporting behavior, suggesting that editors and peer reviewers are not enforcing these recommendations. The average sample size per group was 21. Statistical power was conservatively estimated as .72-.98 for a large effect size, .35-.73 for a medium effect, and .10-.18 for a small effect. These findings indicate that failing to report key guidelines is ubiquitous and that ERP studies are primarily powered to detect large effects. Such low power and insufficient following of reporting guidelines represent substantial barriers to replication efforts. The methodological transparency and replicability of studies can be improved by the open sharing of processing code and experimental tasks and by a priori sample size calculations to ensure adequately powered studies.

EXPRESS: The influence of sample size on preferences from experience

2021 ◽  
pp. 174702182110440
Author(s):  
Janine Hoffart ◽  
Jana Jarecki ◽  
Gilles Dutilh ◽  
Jörg Rieskamp
Keyword(s):  
Sample Size ◽  
Cognitive Modeling ◽  
Learning Strategy ◽  
Small Samples ◽  
Selling Price ◽  
Individual Level ◽  
Average Sample Size ◽  
Sample Information ◽  
How People Learn ◽  
Average Sample

People often learn from experience about the distribution of outcomes of risky options. Typically, people draw small samples, when they can actively sample information from risky gambles to make decisions. We examine how the size of the sample that people experience in decision from experience affects their preferences between risky options. In two studies (N=40 each) we manipulated the size of samples that people could experience from risky gambles and measured subjective selling prices and the confidence in selling price judgments after sampling. The results show that, on average, sample size influenced neither the selling prices nor confidence. However, cognitive modeling of individual-level learning showed that most participants could be classified as Bayesian learners, whereas the minority adhered to a frequentist learning strategy and that if learning was cognitively simpler more participants adhered to the latter. The observed selling prices of Bayesian learners changed with sample size as predicted by Bayesian principles, whereas sample size affected the judgments of frequentist learners much less. These results illustrate the variability in how people learn from sampled information and provide an explanation for why sample size often does not affect judgments.

The impact of misspecification of the negative binomial shape parameter in sequential sampling plans

1986 ◽  
Vol 16 (3) ◽  
pp. 608-611 ◽  
Author(s):  
W. G. Warren ◽  
Pin Whei Chen
Keyword(s):  
Operating Characteristic ◽  
Shape Parameter ◽  
Negative Binomial ◽  
Sequential Sampling ◽  
Forest Pests ◽  
Sample Number ◽  
Sampling Plans ◽  
Average Sample Number ◽  
The Impact ◽  
Average Sample

Standard sequential sampling plans for determining whether infestations of forest pests have attained critical levels are commonly based on the assumption that the counts follow a negative binomial distribution for which the shape parameter, k, which must be specified, may be difficult to estimate and may well be unstable. This paper studies the effect of misspecification of this parameter on the operating characteristic and average sample number functions of a sequential sampling plan. It appears that slight underestimation of the shape parameter can improve the operating characteristic at little cost, i.e., with only small increase in the average sample number.

scholarly journals Sequential Testing in Reliability and Validity Studies With Repeated Measurements per Subject

2018 ◽  
Vol 8 (1) ◽  
pp. 120
Author(s):  
Steven B. Kim ◽  
Jeffrey O. Wand
Keyword(s):  
Sample Size ◽  
High Reliability ◽  
Reliability And Validity ◽  
Repeated Measurements ◽  
Sequential Test ◽  
Ratio Test ◽  
Systematic Bias ◽  
Average Sample Size ◽  
Validity Studies ◽  
Average Sample

In medical, health, and sports sciences, researchers desire a device with high reliability and validity. This article focuses on reliability and validity studies with n subjects and m ≥2 repeated measurements per subject. High statistical power can be achieved by increasing n or m, and increasing m is often easier than increasing n in practice unless m is too high to result in systematic bias. The sequential probability ratio test (SPRT) is a useful statistical method which can conclude a null hypothesis H0 or an alternative hypothesis H1 with 50% of the required sample size of a non-sequential test on average. The traditional SPRT requires the likelihood function for each observed random variable, and it can be a practical burden for evaluating the likelihood ratio after each observation of a subject. Instead, m observed random variables per subject can be transformed into a test statistic which has a known sampling distribution under H0 and under H1. This allows us to formulate a SPRT based on a sequence of test statistics. In this article, three types of study are considered: reliabilityof a device, reliability of a device relative to a criterion device, and validity of a device relative to a  criterion device. Using SPRT for testing the reliability of a device, for small m, results in an average sample size of about 50% of the fixed sample size for a non-sequential test. For comparing a device to criterion, the average sample size approaches to 60% approximately as m increases. The SPRT tolerates violation of normality assumption for validity study, but it does not for reliability study.

Average Run Length Performance of theuChart with Control Limits Based on the Average Sample Size

1995 ◽  
Vol 8 (1) ◽  
pp. 117-127 ◽  
Author(s):  
James M. Grayson ◽  
George C. Runger ◽  
Douglas C. Montgomery
Keyword(s):  
Sample Size ◽  
Average Run Length ◽  
Run Length ◽  
Average Sample Size ◽  
Control Limits ◽  
Average Sample

scholarly journals Cortical thickness in migraine: a coordinate-based meta-analysis

2020 ◽  
Author(s):  
LiQin Sheng ◽  
HaiRong Ma ◽  
YuanYuan Shi ◽  
ZhenYu Dai ◽  
JianGuo Zhong ◽  
...  
Keyword(s):  
Sample Size ◽  
Cortical Thickness ◽  
Meta Analysis ◽  
Current Evidence ◽  
Future Research ◽  
China National Knowledge Infrastructure ◽  
Average Sample Size ◽  
Brain Morphometry ◽  
Replication Crisis ◽  
Average Sample

Abstract Background Cortical thickness (CTh) analysis is a popular method to characterize brain morphometry. Many studies have been performed to investigate CTh abnormalities in migraine. However, the results from these studies were not consistent and even conflicting. These divergent results hinder us from obtaining a clear picture of brain morphometry regarding CTh alterations in migraine. Coordinate-based meta-analysis (CBMA) is a promising technique to quantitatively pool individual neuroimaging studies to identify consistent brain areas involved. Methods Electronic databases (PubMed, Embase, Web of Science, China National Knowledge Infrastructure, WanFang, and SinoMed) and other sources (bioRxiv and reference lists of relevant articles and reviews) were systematically searched for studies that compared regional CTh differences between patients with migraine and healthy controls (HCs) up to May 15, 2020. A CBMA was performed using the Seed-based d Mapping with Permutation of Subject Images (SDM-PSI) approach. Results In total, we identified 16 studies with 17 datasets reported that were eligible for the CBMA. The 17 datasets included 872 patients with migraine (average sample size 51.3, mean age 39.6 years, 721 females) and 949 HCs (average sample size 59.3, mean age 44.2 years, 680 females). The CBMA detected no statistically significant consistency of CTh alterations in patients with migraine relative to HCs. Sensitivity analysis and subgroup analysis verified this result to be robust. Meta-regression analyses revealed that this CBMA result was not confounded by age, gender, aura, attack frequency per month, and illness duration. Conclusions Our CBMA adds to the evidence of the replication crisis in neuroimaging research that is increasingly recognized. The current evidence suggests that CTh is not a reliable biomarker of migraine. Many potential confounders, such as underpowered sample size, heterogeneous patient selection criteria, and differences in imaging collection and methodology, may contribute to the inconsistencies of CTh alterations in migraine, which merit attention before planning future research on this topic.

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