本视频中的响应 what is box back in design in response
面方法 surface methodology in this video
中的回箱是什么 解释什么是设计中的回箱 explain what is box back in design how
如何设计它，以及如何收集 to design it and also how to collect the
数据以及如何使用 Minitab 分析它 data and how to analyze it using Minitab
也在 excel 中如何在 excel 中设计它 also in excel how to design it in excel
也是如此 盒子背面的设计是 as well so box back in design is a three
针对这个例子中每个因素的三级设计 level design for each factor in this
我们在过去看到过我们经常 example we have seen in the past we have
使用这个例子温度 used this example a lot the temperature
湿度我添加了另一个 humidity and I have added another factor
因素光照水平所以假设 the light level so let's say that the
温度的中心点 华氏 72 center point for the temperature is 72
度是最佳 degree Fahrenheit is the optimum level
舒适度水平，因此在 72 度时人们会 comfort level for so at 72 degree people
感觉更舒适，并说我们 feel more comfortable and say we want to
想从那里向下 5 度，然后 go 5 degree down from there and then 5
向上 5 度，将其他两个级别设置 degree up setting the other two levels
为低水平和高 low level and high level for the
湿度水平假设 50% 是最佳的 humidity assume that 50% is the optimum
，然后我们想说高 20% 和 and then we want to say 20% higher and
低 20% 以获得其他两个级别， 20% lower to get the other two levels to
现在为照明级别设置三个级别 make the three levels now for the
，例如 10,000 lighting level say for example 10,000
勒克斯是我们需要的光量 Lux is the amount of light that we need
对于在那个房间完成的特定任务 for that particular task done in that
或我们尝试进行的任何 room or whatever we are trying to do
研究，然后我们向下 this study and then the we go 5,000 down
5,000 并向上 5,000 来设置水平 所以这 and 5,000 up to set the level so this is
基本上在图片中 你可以 basically in in the picture you can see
在这个立方体中看到这是一个 here in this cube that this is a design
设计一个中心点，然后是 with one center points and then twelve
其他 12 个点，所以让我们去 excel 吧， other points so let's go to excel and
让我向您展示如何实际 let me show you how you actually can
设计它，这将使您 design this this will give you a little
对 Minitab 中幕后发生的事情有更多的了解 bit more idea about what's going on
，所以如果您 behind the scene in Minitab so if you
看一下这些 这是 look at these this is the layout for a
三个因素和每个 three factors and three level for each
因素设计的三个级别的布局这里 factor design here
我们有这些你可以在这里看到一个 B we have these as you can see here a B
让我们说温度和湿度 这 let's say temperature and humidity this
是一个基本的两方设计如果你知道 is a basic two square design if you know
不知道怎么做你 可以 don't know how to do that you can go to
一起去户外 comm slash do e the open air together comm slash do e
将作为中心基础的因子设计作为 take the factorial design which is the
basics to the center basic to the
响应面方法的基础，因此 response surface methodology so assume
假设您知道如何创建这个扭曲 that you know how to create this twist
方块，如果不是因子设计下的第一个视频， square if not was the first video under
那么 是 你基本上 the factorial design so you basically
创建这些，然后 create these and then add a center point
为第三个变量添加一个中心点，所以它非常 for the third variable so it's very
简单，正如你在这里看到的，这是一个 simple as you can see here this is a
平衡的不完整设计，所以一个 balanced incomplete design so a simple
足够简单的只是在这个 B 上输入 0 0 中心点 enough just type 0 0 center point for on
，然后设置一个中心点 this B and then set center point for a
对于中心点， and for the center points you can
如果您有更多的自由度，您可以收集低至 1 点或 3 点， collect maybe as low as 1 point or 3 if
you have more than you have more degrees
您还可以测试 of freedom also you will be able to test
脚的缺乏，但只需要做 the lack of feet but just to do the
响应面，一分就足够了 response surface one point is enough so
这就是你设计它的方式然后你 this is how you design it and then you
去收集数据这里的响应 go collect the data the response here
让我去 Minitab 向你展示如何 let me go to Minitab and show you how to
设计它我们需要有所以我们 design it we need to have so what we
开始做什么 e响应面创建一个 start do e response surface create a
设计所以 design so send up composite is by
默认情况下发送复合 再次选择选择框， default selected select box by again and
然后您可以在此处看到可用的设计 then you can see the available design
，它从 3 因子开始， here it is start with the 3 factor there
设计中没有两个因子框 is no two factor box back in design so
，然后您可以看到基本上保留 and then you can see basically leave
所有默认值，然后单击“确定”它会 everything default hit OK it will
为您生成此设计，如果 你不 produce this design for you if you don't
现在想在 Excel 中进行 wanna do it in Excel now once you design
设计并收集数据 假设您 it and collect the data let's say you
拥有所有这些级别并 have all these levels and collect the
从 15 个主题中收集舒适度，然后 comfort level from 15 subjects and then
让我们看看如何在 Minitab 中进行分析， let's see how to analyze this in Minitab
因此分析与实际没有任何 so the analysis is not really any
不同 一旦你完成 different than the so once you've done
了设计，选择了 the design selected
Comfort heat 好吧，它会 Comfort heat okay it'll do the analysis
为你做分析，因为你可以在这里看到 for you as you can see here temperature
温度 线性水平并不真正 the the linear levels are not really
重要 significant is the nonlinear term for
温度和湿度的非线性项很 both temperature and humidity are
重要 其余的东西不是 significant rest of the stuffs are not
重要现在暂停这些数据在 significant now pause this data in the
开放礼仪或平静所以你可以看到 open etiquette or calm so you can see
你可以自己运行分析 you can run the analysis by yourself to
看看现在这个数据是由随机数生成的 see now this data is generated by random
所以它会改变一点我 numbers so it'll change a little bit I
没有保留原来的但是 didn't keep the original one but the
结果将非常接近，所以让我向 result will be very close so let me show
您展示如何创建响应 you how to then create the response
曲面和等高线图，因此响应 surface and contour plot so response
曲面基本上所有内容 surface basically everything is said
都已在此处说明，现在您可以在这里选择另一 there now you could choose the other one
盏灯，但灯不是 s 重要 light here but light is not significant
所以对它并不真正感兴趣所以 so not really interested in that so
温度和湿度然后 temperature and humidity and then
舒适度是一个响应热可以所以这 comfort is a response heat okay so this
将为你产生响应面 will produce the response surface for
很多时间等高线图更 you a lot of time contour plot is easier
容易解释所以让我去告诉你如何 to explain so let me go show you how to
产生相同的等高线图 produce contour plot same thing
基本上正如你在这里看到的，有一个 basically as you can see here there is a
范围让你感觉最 range where you feel the most
舒服，现在湿度线 comfortable now the humidity lines are
更平行，所以当你沿着 more parallel so as you go along with
这个 y 轴或湿度轴前进时 this y-axis or humidity axis there is
，舒适度没有太大差异， not much significant difference in
但是如果你继续前进 comfort however if you go along the
你看到的 x 轴有很多变化 只是 x-axis you see lot of changes just a
温度的一点点变化就会改变 little change of temperature changes the
舒适度 所以基本上这是 comfort level so basically it's a simple
使用这个盒子培根设计做响应面的一种简单方法 way of doing response surface using this
box bacon design