scholarly journals Statistics Born in Brewery

2019 ◽  
Vol 65 (2) ◽  
Author(s):  
Lenka Viskotová ◽  
David Hampel

One of the most important statistical tools is the t-test and its associated Student distribution. These techniques resulted from the work of W. S. Gosset, who published under the pseudonym Student. This paper presents the biographical facts and context of Gosset’s statistical research with his work at the Guinness Brewery. Gosset’s collaboration with important personalities of that time and his work are described. His core article, which laid the foundations of the small sample theory, is discussed in more detail.

Circulation ◽  
2007 ◽  
Vol 116 (suppl_16) ◽  
Author(s):  
Beatrice A Golomb ◽  
Edwin K Kwon ◽  
Michael H Criqui ◽  
Joel E Dimsdale

Background : Case reports have suggested possible effects of lipophilic statins on sleep in some subjects. Most randomized studies evaluating the effect of statins on sleep have had small sample size and short duration (≤ 6 weeks). Whether statins affect sleep on average, favorably or adversely, has been unclear. Goal : To assess the effects of lipophilic and hydrophilic statins on sleep. Subjects : 1016 adult men and women without diabetes or heart disease, with LDL-cholesterol 115–190mg/dL. Design : Randomized double blind placebo-controlled trial of simvastatin 20mg, pravastatin 40mg or placebo for 6 months. Sleep was a prespecified secondary outcome. It was assessed by both an adaptation of the Leeds sleep scale (a visual analog scale of sleep quality); and a rating scale of sleep problems. Both items were measured at baseline and on-treatment. Analysis : Baseline comparability of randomization groups including sleep measures was affirmed. T-test of mean on-treatment sleep scores across randomization groups was performed. This complemented regression analyses, adjusted for baseline values of the respective sleep assessment. Results : Groups were comparable at baseline on variables including both sleep measures. Simvastatin use was associated with significantly worse sleep quality, and significantly greater reported sleep problems than either pravastatin or placebo, by t-test and regression analyses. Pravastatin did not differ significantly from placebo on any sleep outcome. Conclusion : Findings were compatible with the hypothesis that statins may impair sleep in some subjects, and that this impairment may arise selectively with lipophilic statins. Table 1. Effects of Statins on Sleep: Regression Analysis


2020 ◽  
Author(s):  
Chia-Lung Shih ◽  
Te-Yu Hung

Abstract Background A small sample size (n < 30 for each treatment group) is usually enrolled to investigate the differences in efficacy between treatments for knee osteoarthritis (OA). The objective of this study was to use simulation for comparing the power of four statistical methods for analysis of small sample size for detecting the differences in efficacy between two treatments for knee OA. Methods A total of 10,000 replicates of 5 sample sizes (n=10, 15, 20, 25, and 30 for each group) were generated based on the previous reported measures of treatment efficacy. Four statistical methods were used to compare the differences in efficacy between treatments, including the two-sample t-test (t-test), the Mann-Whitney U-test (M-W test), the Kolmogorov-Smirnov test (K-S test), and the permutation test (perm-test). Results The bias of simulated parameter means showed a decreased trend with sample size but the CV% of simulated parameter means varied with sample sizes for all parameters. For the largest sample size (n=30), the CV% could achieve a small level (<20%) for almost all parameters but the bias could not. Among the non-parametric tests for analysis of small sample size, the perm-test had the highest statistical power, and its false positive rate was not affected by sample size. However, the power of the perm-test could not achieve a high value (80%) even using the largest sample size (n=30). Conclusion The perm-test is suggested for analysis of small sample size to compare the differences in efficacy between two treatments for knee OA.


2009 ◽  
Vol 34 (1) ◽  
pp. 13-30 ◽  
Author(s):  
Sunil Sharma ◽  
Anuradha R Chetiya

The success of a Six Sigma programme in an organization depends to a large extent on the success of the Six Sigma projects, which in turn depends on how the team handles the problem and whether the right combination of tools is being applied to address the root cause. The Six Sigma toolbox consists of a wide range of tools comprising, on the one hand, simple and commonly used tools like flow charts, Pareto analysis, and cause-and-effect diagram and the more advanced statistical tools like design of experiments, regression analysis and many more, on the other hand. While the simple tools are easy to apply, understand, and analyse, engineers perceive the more advanced tools difficult to comprehend. Design of experiments (DOE) is one such tool. Two well-known approaches of design of experiments are the Classical DOE, pioneered by Sir Ronald A Fisher and the Taguchi approach, pioneered by Dr Genichii Taguchi. A third approach to experimental design—the Shainin DOE techniques, offered by Dr Dorian Shainin—can be considered as a very good alternative to the other approaches. They are much simpler than the factorial designs, response surface designs, and orthogonal arrays of the conventional approaches of DOE, but at the same time are recognized as being very powerful and effective in solving the chronic quality problems that plague most manufacturers. Shainin DOE basically works at eliminating suspected process variables by mostly using seven different tools, viz., Multi-Vari Charts Component Search Paired Comparison Variable Search Full Factorials B vs. C (Better vs. Current) Analysis Scatter Plots or Realistic Tolerance Parallelogram Plots. Though not very well documented, these tools have proved to be the key drivers in the success of many companies, e.g., Motorola. This article examines two projects of a leading automotive and general lighting lamp manufacturing company, in which a combination of the standard Six Sigma tools and Shainin tools has been successfully used to address the root cause of the problems. The advantage of using Shainin tools is that: Very small sample sizes are required to analyse the problem. Often samples as small as 2 or 3 are enough to make statistically valid conclusions. Statistical software is not required to analyse the data. In fact, Shainin DOE does not even require knowledge of complex statistical tools. It involves employees at all levels, including workers and junior staff in problem solving that was hitherto a domain of senior technical experts. Also, the success of the projects had a very positive effect on the morale of the employees in terms of convincing them that Six Sigma is not all about using complex statistical tools.


2016 ◽  
Vol 3 (2) ◽  
Author(s):  
Dr. Krishna J. Vaghela

The main purpose of the present research was to study the anxiety level among diabetic and non diabetic people (both male and female). The study was conducted over a sample of 160 people (80- male: 40 diabetic and 40 on diabetic as well as 80- female: 40 diabetic and 40 non diabetic). For the purpose of the measuring anxiety level of participants the Beck anxiety inventory was used. The obtained data were analyzed and interpreted on using statistical tools such as mean, standard deviation, and t – test. The results reported that statistically significant difference observed among diabetic and non diabetic male participants in relation to anxiety their level. As regarding to female participants with diabetic and non diabetic also significantly differ on their scores on anxiety. In conclusion the anxiety level was significantly higher in diabetic people both: male as well as female.


2018 ◽  
Vol 9 (1) ◽  
pp. 70-82
Author(s):  
Nwokedi Theophilus C ◽  
Moses Ntor-Ue Eba ◽  
Okonko Ifiok ◽  
Ndubuisi Leonard

AbstractThe study assessed shippers and ship owners’ ship and charter party type choices in the wet and dry bulk ship broking and chartering market as guide for performance improvement for African and Nigerian ship brokers. It aims to determine if significant differences exists between shippers ship type choices among Very Large Crude Carriers (VLCC), Handymax, Supramax and capsize vessels in the wet and dry bulk market as well shippers and ship owners charter party type choice between voyage charter and time charter for the various ship types. The study adopted a survey method in which the Baltic International Maritime Council (BIMCO) was surveyed and 5 year data on ship types and charter party type choices of shippers and ship owners was obtained. The statistical tools of Analysis of Variance (ANOVA) and independent sample t-test were used to compare the ship type choices and charter party type choices of shippers and ship owners. The result indicates that shippers’ in the wet and dry bulk cargo market show greater preference for Supramax vessel type. The aggregate number of vessels chartered over the period covered in the study is 41,684 vessels out of which 22,593 representing about 54.2% are Supramax. This was seconded by VLCC which recorded 8,829 or 21.2% charters. Capsize and Handymax vessel types had 6211 and 4069 charters respectively which represent 14.9% and 9.77% each. Shippers and ship owners also show greater preference for voyage charter party type than time charter party for all types of vessels. It was recommended that ship brokers should place greater priority on trading in Supramax ship types and voyage charter party type as the demand trend for this ship type is likely to remain higher over time; followed by VLCC; while more shippers and ship owners are likely continue to show preference for voyage charter than time charter.


2021 ◽  
Author(s):  
Robert J. Leigh ◽  
Richard A. Murphy ◽  
Fiona Walsh

There is a reproducibility crisis in scientific studies. Some of these crises arise from incorrect application of statistical tests to data that follow inappropriate distributions, have inconsistent equivariance, or have very small sample sizes. As determining which test is most appropriate for all data in a multicategorical study (such as comparing taxa between sites in microbiome studies), we present statsSuma, an interactive Python notebook (which can be run from any desktop computer using the Google Colaboratory web service) and does not require a user to have any programming experience. This software assesses underlying data structures in a given dataset to advise what pairwise or listwise statistical procedure would be best suited for all data. As some users may be interested in further mining specific trends, statSuma performs 5 different two-tailed pairwise tests (Student's t-test, Welch's t-test, Mann-Whitney U-test, Brunner-Munzel test, and a pairwise Kruskal-Wallis H-test) and advises the best test for each comparison. This software also advises whether ANOVA or a multicategorical Kruskal-Wallis H-test is most appropriate for a given dataset and performs both procedures. A data distribution-vs-Gaussian distribution plot is produced for each taxon at each site and a variance plot between all combinations of 2 taxa at each site are produced so Gaussian tests and variance tests can be visually confirmed alongside associated statistical determinants.


2021 ◽  
Vol 9 (7_suppl3) ◽  
pp. 2325967121S0016
Author(s):  
Prem Kumar Thirunagari ◽  
Nancy Phu ◽  
David Tramutolo ◽  
Hector Rieiro ◽  
Tanya Polec ◽  
...  

Background: Oculomotor and visual processing deficits occur commonly after brain injury in young athletes. A subset of these concussed athletes do experience prolonged recoveries or PPCS with ongoing oculomotor deficits and visual symptoms. There have been limited studies conducted to determine the significance of oculomotor tracking (OMT) testing in the pediatric population, and even less investigating the role of microsaccades. Hence, investigations on microsaccades(MS), physiological adjustive micro eye movements critical in visual processing and central/peripheral visual integration, may provide insight on the role of visual dysfunction in PPCS course, prognosis, and management. Purpose: The purpose of this study is to identify possible MS rate trends and differences between early and late stage PPCS pediatric patients. Methods: A retrospective cohort study of 41 pediatric patients with PPCS or symptoms greater than one month from injury. Data was collected from 7/1/2018 to 12/1/2019 and the age group ranged from 8 to 21 years. For each participant, using the OMT device we measured the number of saccades generated, the size and speed of the microsaccades, the area covered and the ratio of vertical-to-horizontal direction component of the fixational eye movements, using a 250 Hz video-eye tracker mounted inside a HTC Vive VR headset. Participants were instructed to fixate on a central dot for 140 seconds, in 20-second intervals. Patients were classified into early or late stages of PPCS (early stage: 1-6 months; late stage: >6 months) to compare MS rate between stages. Exclusion criteria included history of visual disorders, learning disorders, seizure disorder, or intracranial hemorrhage. Results: 27 patients were in the early stage while 14 patients were in the late stage. The early stage group had a mean MS rate of 125 beats/min while the late stage group had a mean MS rate of 116 beats/min. A two sample t-test assuming no difference between early and late stage patients resulted in a p value of 0.51. Conclusion: There is a potential trend in declining MS numbers with progressive PPCS stage. Although the t-test didn’t show statistical significance, this could be due to the small sample size of our study. Future studies are needed to validate this initial finding and to identify the significance of microsaccade patterns in concussion prognosis and management. [Figure: see text]


New generation people have the habit of judging the book by its cover so why this generation people shows most of their interest towards dressing . Especially youngsters love to dress quiet modern. This research paper explains deeply about the impact of western outlooks towards the teenagers in Chennai. Hypothesis was done by questioning various peoples of various sectors . From this it was found that factors like age, gender, occupation and area where people live also plays an important role in giving preference to western outlooks. In this paper statistical tools like correlation, chi square and independent sample T test are used. The paper concluded that today’s youngsters believe in fashion, and feels that their confidence improved with their outlook


Author(s):  
Divya Verma Gakhar ◽  
Neha Kushwaha ◽  
Vinita Ashok

This paper analyzes the impact of Union budget on NSE’s CNX NIFTY Index. The impact is measured in terms of daily average returns and volatility over the short term, medium term and long term period in pre and post budget period. The data has been collected for five budget periods from 2011 to 2015. The statistical tools used are paired T-test and F-test. Paired T-test is conducted on average returns and F-test is conducted on variances over the period i.e., 3, 10 and 30 days in pre and post budget period. The maximum impact of budget is seen in short term then it gradually decreases in medium term and finally diminishes in the long term. The implication of this paper is that the investor should fear from investing in the stock market around the budget period.


2020 ◽  
Author(s):  
◽  
Zwelethu Mtshokotshe

A mixed-methods research design was followed throughout this study. The primary focus of this study was to determine customer satisfaction through mixed (qualitative and quantitative) methods. Questionnaires for gathering quantitative primary data as well as collecting qualitative data by means of FGDs and semi-structured interviews. Primary data analysis throughout this study involved the descriptive as well as the inferential during the analysis of variance (ANOVA) and independent t-test. These tools aided the quantitative analysis that were applied to analyse the null hypotheses. Other statistical tools namely the means, standard deviation, Cronbach’s alpha, ANOVA were performed to identify differences between various demographics characteristics for in-depth interpretations. The views of restaurateurs’ customers and managers were explored through 235 customers of twelve (12) restaurants Buffalo City Metropolitan Municipality where participants successfully completed questionnaires and participated in FGDs and interviews. The study revealed high prevalence of female in restaurants industries. Majority of participants obtained tertiary degree as educational qualifications. Statistical tools of ANOVA and t-test were employed to test three null hypotheses. Inferential results revealed that participants in restaurants I were less satisfied as compared to others in restaurants E. Based on the statistical findings the initial hypothesis was rejected while the second indicated that monthly income has no effect on customer satisfaction. The independent t-test was employed to test the third hypothesis which indicated no significant relationship between the female and male participants.


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