Types of experimental designs

فهرست عناوین اصلی در این پاورپوینت

فهرست عناوین اصلی در این پاورپوینت

● 6BV04
● Contents
● Example of Experiment : synthesis of T8-POSS
● Issues in example T8-POSS synthesis
● Necessity of careful planning of experiment
● Traditional approach to experimentation:
T8-POSS example
● Statistical terminology for experiments:
illustrated by T8-POSS example
● Modern approach: DOE
● Example of analysis
● Example of construction: T8-POSS example
● Teaching tools: virtual experiments
● Short history of statistics and experimentation
● Goals in experimentation
● Types of experimental designs
● Interactions
● Interaction effects
● No interaction
● Interaction I
● Interaction II
● Interaction III
● Centre points and Replications
● Multi-layered experiments
● Example
● Experimental design 1
● Experimental design 2
● Blocking
● Short checklist for DOE (see protocol)
● Software
● Literature

نوع زبان: انگلیسی حجم: 0.16 مگا بایت
نوع فایل: اسلاید پاورپوینت تعداد اسلایدها: 30 صفحه
سطح مطلب: نامشخص پسوند فایل: ppt
گروه موضوعی: زمان استخراج مطلب: 2019/06/15 11:15:21

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عبارات مهم استفاده شده در این مطلب

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factor, ۱۲, science, computer, mathematics, department, b, ., design, …, level, effect,

توجه: این مطلب در تاریخ 2019/06/15 11:15:21 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.

https://www.win.tue.nl/~adibucch/6BV04/6BV04introDOE.ppt

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عبارات پرتکرار و مهم در این اسلاید عبارتند از: factor, ۱۲, science, computer, mathematics, department, b, ., design, …, level, effect,

مشاهده محتوای متنیِ این اسلاید ppt

مشاهده محتوای متنیِ این اسلاید ppt

department of mathematics and computer science ۱۲ ۶bv ۴ introduction to experimental design department of mathematics and computer science ۱۲ contents planning experiments regression analysis types of experiments software literature department of mathematics and computer science ۱۲ example of experiment synthesis of t۸ poss context development of new synthesis route for polymer additive goal optimize yield of reaction synthesis route consists of elements that are not uniquely determined control variables time to let reaction run concentration water concentration silane temperature … department of mathematics and computer science ۱۲ issues in example t۸ poss synthesis how to measure yield what to measure begin end weight … when to measure reaction requires at least one day how to vary control variables which values of ph concentrations … levels which combinations of values equipment only allows ۶ simultaneous reactions all with the same temperature how many combinations can be tested reaction requires at least one day only ۴ experimentation days are available department of mathematics and computer science ۱۲ necessity of careful planning of experiment limited resources time to carry out experiment costs of required materials equipment avoid reaching suboptimal settings avoid missing interesting parts of experimental region protection against external uncontrollable undetectable influences getting precise estimates department of mathematics and computer science ۱۲ traditional approach to experimentation t۸ poss example set t ۴ c h۲o concentration ۱ try csi .۱ .۲ .۳ .۸ .۹ ۱. m set t ۶ c csi .۵m h۲o concentration ۵ ۱ ۱۲.۵ ۱۵ ۱۷.۵ ۲ … this is called a one factor at a time ofat or change one separate factor at a time cost strategy. disadvantages may lead to suboptimal settings see next slide requires too many runs to obtain good coverage of experimental region see later department of mathematics and computer science ۱۲ ۳ ۴ ۵ ۶ the real maximum the apparent maximum factor a has been optimised factor b has been optimised department of mathematics and computer science ۱۲ statistical terminology for experiments illustrated by t۸ poss example response variable yield factors time temperature csi h۲o concentration levels actual values of factors e.g. t ۳ c ۴ c ۵ c runs one combination of factor settings e.g. t ۳ c csi .۵m h۲o concentration ۱۵ block ۶ simultaneous runs with same temperature in reaction station department of mathematics and computer science ۱۲ modern approach doe doe design of experiments key ideas change several factors simultaneously carefully choose which runs to perform use regression analysis to obtain effect estimates statistical software statgraphics jmp sas … allows to choose or construct designs analyse experimental results department of mathematics and computer science ۱۲ example of analysis simple experiment response is conversion goal is screening are time and temperature influencing conversion ۲ factors time and temperature each at two levels ۵ centre points both time and temperature at intermediate values statgraphics demo with conversion.sfx. choose special experimental design etc. from menu more advanced ۵ factors not all ۲۵ combinations colour.sfx department of mathematics and computer science ۱۲ example of construction t۸ poss example ۳۶ runs ۲ reactors available each day each reactor ۶ places ۳ experimental days factors h۲o concentration temperature csi goal is optimization of response choose in statgraphics special experimental design create design response surface department of mathematics and computer science ۱۲ teaching tools virtual experiments statlab http www.win.tue.nl statlab interactive software for teaching doe through cases box http www.win.tue.nl ~marko box box.html game like demonstration of box method matlab virtual reactor help demos statistics toolbox empirical modeling rsm demo department of mathematics and computer science ۱۲ short history of statistics and experimentation ۱۹۲ ’s … introduction of statistical methods in agriculture by fisher and co workers ۱۹۵ ’s … introduction in chemical engineering box … ۱۹۸ ’s … introduction in western industry of japanese approach taguchi robust design ۱۹۹ ’s … combinatorial chemistry high throughput processing department of mathematics and computer science ۱۲ goals in experimentation there may be more than one goal e.g. yield required reaction time until equilibrium costs of required chemical substances impact on environment waste these goals may contradict each other goals must be converted to explicitly measurable quantities department of mathematics and computer science ۱۲ types of experimental designs screening designs these designs are used to investigate which factors are important significant . response surface designs these designs are used to determine the optimal settings of the significant factors. department of mathematics and computer science ۱۲ interactions factors may influence each other. e.g the optimal setting of a factor may depend on the settings of the other factors. when factors are optimised separately the overall result as function of all factors may be suboptimal … department of mathematics and computer science ۱۲ interaction effects cross terms in linear regression models cause interaction effects y ۳ ۲ xa ۴ xb ۷ xa xb xa  xa ۱ yy ۲ ۷ xb so increase depends on xb. likewise for xb xb ۱ this explains the notation ab for the interaction of factors a and b. department of mathematics and computer science ۱۲ no interaction factor a output low high b low b high ۲ ۵ ۵۵ ۲۵ assume that we have two factors a and b each with levels low and high. the effect of factor a at high level of factor b is a ۲۵ ۲ ۵ and at the low level of factor b is a ۵۵ ۵ ۵. clearly the effect of a does not depend on the level chosen for the factor b. also note that the lines are parallel indicating that there is no interaction between factors a and b. department of mathematics and computer science ۱۲ interaction i factor a output low high b low b high ۲ ۵ ۵۵ ۴۵ again lets look at the effect of factor a at the different levels of factor b. at the high level of factor b the effect of factor a is a ۴۵ ۲ ۲۵ and at the low level of factor b the effect of the factor a is a ۵۵ ۵ ۵. clearly the effect of a depends on the level chosen for factor b therefore there is interaction between a and b. the magnitude of the interaction effect is the avarage difference in these two a effects ab ۲۵ ۵ ۲ ۱ . department of mathematics and computer science ۱۲ interaction ii factor a output low high b low ۵۵ ۵ b high ۲ ۴۵ again as in the previous sheet we have …

کلمات کلیدی پرکاربرد در این اسلاید پاورپوینت: factor, ۱۲, science, computer, mathematics, department, b, ., design, …, level, effect,

این فایل پاورپوینت شامل 30 اسلاید و به زبان انگلیسی و حجم آن 0.16 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 2019/06/15 11:15:21 استخراج شده است.

https://www.win.tue.nl/~adibucch/6BV04/6BV04introDOE.ppt

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