Presenting Uncertainty Precisely

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● Useful Tips for Presenting Data and Measurement Uncertainty Analysis
● Outline
● m = 75 ± 5 g
What is the meaning of ± 5 ?
● What does x ± u mean?
● Presenting Uncertainty Precisely
● NIST Classification of Measurement Uncertainties
● Uncertainty Analysis Example
● Level 1: Total Uncertainty
● Level 2: Uncertainty Propagation
● Level 3: NIST Component Measurement Uncertainty Table
● Level 4: Contributors of Component Uncertainty
(Further Analysis)
● Crossed Design: ANOVA
● Thickness ANOVA
● Results: Thickness ANOVA
● Nested Design: VCA
● Variance Component Analysis of Thickness
● Concluding Remarks

نوع زبان: انگلیسی حجم: 0.39 مگا بایت
نوع فایل: اسلاید پاورپوینت تعداد اسلایدها: 17 صفحه
سطح مطلب: نامشخص پسوند فایل: ppt
گروه موضوعی: زمان استخراج مطلب: 2019/05/17 04:48:29

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uncertainty, aerospace, florida, engineering, mechanical, university, ±, anova, analysis, thickness, –, specimen,

توجه: این مطلب در تاریخ 2019/05/17 04:48:29 به صورت خودکار از فضای وب آشکار توسط موتور جستجوی پاورپوینت جمع آوری شده است و در صورت اعلام عدم رضایت تهیه کننده ی آن، طبق قوانین سایت از روی وب گاه حذف خواهد شد. این مطلب از وب سایت زیر استخراج شده است و مسئولیت انتشار آن با منبع اصلی است.

http://www2.mae.ufl.edu/haftka/eoed/measurment-uncertainty.ppt

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عبارات پرتکرار و مهم در این اسلاید عبارتند از: uncertainty, aerospace, florida, engineering, mechanical, university, ±, anova, analysis, thickness, –, specimen,

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university of florida mechanical and aerospace engineering useful tips for presenting data and measurement uncertainty analysis ben smarslok university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering outline why is presenting data properly important explain important terminology and definitions nist vs. iso vs. asme astm oberkampf definitions of model uncertainty not included experimental scenarios and corresponding methods uncertainty propagation crossed vs. nested factors anova vs. vca p values interlaboratory studies not included university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering best guess by experimenter half the smallest division of measurement standard deviation  standard error m  n expanded uncertainty of ± ۲ or ± ۳ ۹۵ or ۹۹ confidence interval standard uncertainty u combined standard uncertainty uc courtesy of duane deardorff presentation from unc m ۷۵ ± ۵ g what is the meaning of ± ۵ university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering what does x ± u mean engineers think in terms of ±۲ ۹۵ physicists generally report ±۱ ۶۸ ci chemists report ±۲ or ±۳ ۹۵ or ۹۹ ci survey poll margin of error is ۹۵ ci accuracy tolerances are often ۹۵ or ۹۹ nist calibration certificate is usually ۹۹ conclusion the interpretation of ± u is not consistent within a field let alone between fields it is very important to explain the statistical relevance of the uncertainty bounds university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering presenting uncertainty precisely choose a standard for presenting uncertainty i prefer nist and reference the standard explain the source of the uncertainty type a – calculated by statistical methods it is useful to explain the design of experiments and the number of samples involved type b – determined by other means such as estimate from experience or manufacturers specifications use terms carefully error vs. uncertainty error is the deviation from the true value and measured value never known which is estimated as uncertainty bias vs. variability will explain later avoid use of ambiguous ± notation without explanation pet peeve cov covariance university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering uncertainty classification random uncertainty variability – scatter in the measurements v systematic uncertainty bias – systematic departure from the true value b nist classification of measurement uncertainties type of evaluation type a – calculated by statistical methods type b – determined by other means such as estimate from experience xt true value of specimen m experimental population average x experimental sample average vx random error of sample bx systematic error of sample range is at ۹۵ ۲s level of a normal distribution university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering uncertainty analysis example consider our transverse modulus work e۲ hooke’s law we will work through this problem backwards university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering level ۱ total uncertainty in general where vx and bx were propagated from component uncertainties student’s t distribution at ۹۵ confidence level depends on of dof total uncertainty of e۲ at ۱s ۶۸ confidence for comparison to experimental results or at the commonly accepted ۹۵ level university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering level ۲ uncertainty propagation law of propagation of uncertainties lpu where p are the inputs components and q is the output e۲ example uncertainty contributors were analyzed for each of the components of e۲ random and systematic effects propagated separately only systematic uncertainties can have correlated effects thickness and width are correlated university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering level ۳ nist component measurement uncertainty table university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering level ۴ contributors of component uncertainty further analysis numerous different methods to analysis the significance of uncertainty contributors it is important to use the appropriate analysis method depending on the design of experiments doe either design the experiments properly or match the corresponding method to the data you already have most does fall into one of these two categories university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering crossed design anova crossed or factorial does correspond to analysis of variance anova consider thickness in the e۲ example since the same specimens were measured in the same positions with the same users then the factors were crossed ۳ way anova with crossed random variables was conducted nominal . ۹ x ۱ in. uncertainty contributors specimen – variability from specimen to specimen position – variation across measurement surface user – error from user technique measurement repeatability university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering thickness anova ۳ way anova of crossed random variables statistical software available for ease of use excel for ۲ factors or sas for ۳ or more factors a specimen a ۴ b position b ۳ c user c ۴ repetitions n ۳ anova model anova results were not directly used in uncertainty analysis but were used to identify significant contributors and validate uncertainty estimates university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering results thickness anova use anova to deterimine the significance of the contributors of uncertainty in thickness position is most significant factor with p value . ۶ not as interested in interactions in this study used to validate estimated range of uncertainties of thickness and width ~ ~ ~ university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering nested design vca nested does correspond to variance component analysis vca consider a two stage nested design of one specimen for thickness relevant if positions and users were unique each time specimens considered individually since the thickness does not have to be the same from one specimen to the next data was organized according to position y۱ y۲ and y۳ refer to the repeated basic measurements university of florida mechanical and aerospace engineering university of florida mechanical and aerospace engineering variance component analysis of thickness goal develop a nested design to determine the contribution of each factor in the overall variance variance …

کلمات کلیدی پرکاربرد در این اسلاید پاورپوینت: uncertainty, aerospace, florida, engineering, mechanical, university, ±, anova, analysis, thickness, –, specimen,

این فایل پاورپوینت شامل 17 اسلاید و به زبان انگلیسی و حجم آن 0.39 مگا بایت است. نوع قالب فایل ppt بوده که با این لینک قابل دانلود است. این مطلب برگرفته از سایت زیر است و مسئولیت انتشار آن با منبع اصلی می باشد که در تاریخ 2019/05/17 04:48:29 استخراج شده است.

http://www2.mae.ufl.edu/haftka/eoed/measurment-uncertainty.ppt

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