scholarly journals Asymptotics for the Tukey depth process, with an application to a multivariate trimmed mean

Bernoulli ◽  
2004 ◽  
Vol 10 (3) ◽  
pp. 397-419 ◽  
Author(s):  
Jean-Claude Massé
Keyword(s):  
2021 ◽  
Vol 42 (Supplement_1) ◽  
pp. S23-S24
Author(s):  
Alisa Savetamal ◽  
Melissa Ebdon

Abstract Introduction The metabolic demands of burn injury often require that patients consume a high-calorie diet. For patients taking nutrition solely by the oral route, this can be challenging, and supplementation is necessary. The burn team is sometimes frustrated at patients’ inability or perceived unwillingness to consume the daily prescribed supplementation. The purpose of this study was to expose the burn team to the various nutritional supplements offered to patients, and to gain a better understanding of the palatability those supplements. Methods Nine volunteers from the burn team participated in this blinded study: an attending surgeon; surgical residents (2); students (1); therapists (2); and nurses (3). Samples of 9 different nutritional supplements were placed in numbered cups, with the contents known only to the dietitians. The supplements consisted of: “milkshake” consistency drinks (#1,4,6,7, 9); gelatin (#2); frozen custard (#3); clear thin liquid (#5); and pudding (#8). Each participant received one cup of each supplement and was asked to rate the contents on a scale of 1 to 10, with 10 being tastiest. Mean, trimmed mean, and median taste scores were noted. Data were analyzed by t-test and by regression to assess for differences based on protein content. Results The highest mean and trimmed mean scores (7.3 and 7.4) were given to product #8. Product #1 had slightly lower scores (6.4 and 6.1). Product #9 received the lowest mean score (2.2); the trimmed mean was even lower (1.7). Median scores for the products upheld these results, and most of the remainder of the products received median scores of 4 or 5. T-test analysis showed significant differences in preference for products 1 and 8 versus the rest of the products (with means of 2.2 to 5.3). Regression analysis suggests that taste scores tend to be higher for products with a lower percentage of calories from protein, while the higher protein products fare less well in taste (a decline of roughly 0.47 in mean taste score for every 10-percentage point increase in percentage of calories from protein). Conclusions A blinded taste test of commonly offered supplements revealed that most products are, at best, moderately acceptable (median score 4–5). This suggests two potential changes in the approach to oral supplementation. First, the burn team should be sympathetic to the challenges that patients face with oral supplements, particularly the high-protein versions. Second, the burn team may need to be innovative. Chilling the drinks, offering different flavors, mixing flavors, or mixing with other liquids may help patients to take oral supplements more enthusiastically. Sampling these oral supplements has helped our team to understand better what we ask our patients to do to achieve their nutritional goals.


2017 ◽  
Vol 60 (4) ◽  
pp. 1099-1111
Author(s):  
Jianyi Zhang ◽  
Yibin Ying ◽  
Huanyu Jiang ◽  
Haijun Wang ◽  
Chunwei Yang ◽  
...  

Abstract. Rolling poultry eggs through a weighing rail is a simple, fast, and efficient way to measure mass. However, disturbances generated primarily by the rolling eggs vary with the rolling state and speed as well as with the egg mass and shape. These disturbances distort the load cell signal in the form of a stochastic strong amplitude fluctuation, and eliminating these fluctuations completely is a difficult task. A piezoelectric accelerometer was used to measure the vibration disturbances. The smoothed pseudo-Wigner-Ville distribution (SPWVD), which is a type of time-frequency analysis, was used to analyze the vibration disturbances using the accelerometer data. The results indicated that the disturbances were non-stationary, and the frequency characteristics were time-varying. Preliminary experiments showed that the commonly used low-pass filtering and subsequent average-based mass estimation method (AME) did not result in a satisfactory weighing accuracy. To meet the requirement of fast and accurate dynamic weighing of eggs, this research proposed a sorting-based mass estimator (SME) that consisted of an optimized digital filter and asymmetrically trimmed mean. The SME regarded the mass measurement as a problem of location estimation of non-Gaussian and heavy-tailed random variables, given the short observation time and the presence of outliers (disturbances). Four types of digital filters in the SME were selected to pre-filter the load cell data. The relevant parameters of the digital filters and asymmetrically trimmed mean in the SME were optimized using a grid search. Experimental results showed that the proposed SME effectively improved the weighing accuracy, and almost all of the egg weighing errors were less than 1 g with a processing speed of up to 5 eggs s-1. Compared with the AME, the overall mean error was reduced by approximately 86% to 93%, and the overall standard deviation of the error (SDE) was reduced by approximately 41% to 50%. Keywords: Asymmetrically trimmed mean, Digital filters, Dynamic weighing, Egg mass, Time-frequency analysis.


2015 ◽  
Vol 25 (6) ◽  
pp. 587-602 ◽  
Author(s):  
Ufuk Yolcu ◽  
Eren Bas ◽  
Erol Egrioglu ◽  
Cagdas Hakan Aladag

1973 ◽  
Vol 1 (3) ◽  
pp. 472-477 ◽  
Author(s):  
Stephen M. Stigler

1987 ◽  
Vol 15 (1) ◽  
pp. 20-36 ◽  
Author(s):  
A. H. Welsh
Keyword(s):  

2005 ◽  
Vol 71 (1) ◽  
pp. 29-35 ◽  
Author(s):  
William C. Brunner ◽  
James R. Korndorffer ◽  
Rafael Sierra ◽  
J. Bruce Dunne ◽  
C. Lillian Yau ◽  
...  

Laparoscopic training using virtual reality has proven effective, but rates of skill acquisition vary widely. We hypothesize that training to predetermined expert levels may more efficiently establish proficiency. Our purpose was to determine expert levels for performance-based training. Four surgeons established as laparoscopic experts performed 11 repetitions of 12 tasks. One surgeon (EXP-1) had extensive Minimally Invasive Surgical Trainer–Virtual Reality (MIST VR) exposure and formal laparoscopic fellowship training. Trimmed mean scores for each were determined as expert levels. A composite score (EXP-C) was defined as the average of all four expert levels. Thirty-seven surgery residents without prior MIST VR exposure and two research residents with extensive MIST VR exposure completed three repetitions of each task to determine baseline performance. Scores for EXP-1 and EXP-C were plotted against the best score of each participant. On average, the EXP-C level was reached or exceeded by 7 of the 37 (19%) residents. In contrast, the EXP-1 level was reached or exceeded by 1 of 37 (3%) residents and both research residents on all tasks. These data suggest the EXP-C level may be too lenient, whereas the EXP-1 level is more challenging and should result in adequate skill acquisition. Such standards should be further developed and integrated into surgical education.


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