数据分析方法..
合集下载
相关主题
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
0.20
0.00
-0.20
-0.40
-0.60
-0.80
-1.00 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Cusum
• Cusum
– The point where the slope changes shows you when the change in ∆b happened – Draw another cusum for each parameter you suspect may have caused the change – Compare when the changes happened
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Cusum
∆b and bead mill particle size cusum
0.20 0.10 0.00 -0.10 -0.20 -0.30 -0.40 -0.50
-0.60
-0.70 -0.80 -0.90 2013-03-26 2013-03-31 2013-04-05 2013-04-10 2013-04-15 2013-04-20
2013-04-15
2013-04-20
Cusum
Normalised ∆b and bead mill particle size cusum
1.00
0.80
0.60
0.40
0.20
0.00
-0.20 2013-03-26
2013-03-31
2013-04-05 ∆b d50
• 计算累积和
– 找到平均值 – 减去从每个数据点的平 均 – 写出累积的新值
Cusum累积和算法
Cusum
Jet mill 1 ∆b cusum
0.20
0.00
-0.20
-0.40
-0.60
-0.80
-1.00 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
• Cusum
– 图中的拐点告诉我们∆b 在什么时间发生变化
– 绘制你认为会引起变化 的任何一个参数的累积 图
– 比较一下什么时间发生 变化
Cusum
Bead mill particle size cusum
0.00 -0.02 -0.04 -0.06 -0.08 -0.10 -0.12 -0.14 -0.16 -0.18 -0.20 2013-03-26
• 怎样变化
• 什么时间变化 • 什么原因引起的变化
Cusum累积和算法
• Cusum
– Cumulative Sum of deviations
• 累积和算法
– 累积偏差之和
• To calculate a cusum
– Find average of the data – Subtract the average from each data point – Plot a cumulative sum of the new values
– 3) How does one set of data compare with another set?
• Gaussian distribution
– 3) 组数据如何与另一组数据 进行比较
• Gaussian distribution高斯分布
Cusum累积和算法
Data Analysis
• Cusum
– 两个参数在曲线图上的 最大距离是不同的
• 很难在那条红线上看出 变化的点
– Normalise the curves
• Divide every point by the value of the cusum curve at its maximum distance from zero
2013-04-20
Cusum
Jet mill 1 ∆b cusum
0.20
0.00
-0.20
-0.40
-0.60
-0.80
-1.00 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Cusum
Jet mill 1 ∆b cusum
Cusum
• Cusum
– The maximum distance of the cusum curve from zero is different for the two parameters
• Difficult to see the change point in the smaller one
– 使曲线正常化
• 每一个点都除以曲线上 从零开始的最大值
Cusum
Normalised ∆b and bead mill particle size cusum
1.00
0.80
0.60
0.40
0.20
0.00
-0.20 ห้องสมุดไป่ตู้013-03-26
2013-03-31
2013-04-05
2013-04-10
• Cusum
• 三种方法可以帮助我们把 数据变为有效的信息 • 三种方法对应三种问题类 型
– 1) 参数A中的变化引起参数 B的变化
• Cusum累积和算法
– 2) What is the trend in a series of data?
• EWMA
– 2) 一系列数据中有什么样的 趋势
• EWMA指数加权平均移动法
Data Analysis
数据分析
Data Analysis
• Three methods to help turn data into information • Answer three types of question
– 1) Did a change in parameter A cause the change in parameter B?
Jet mill 1 ∆b
0.30
0.20
0.10
0.00
-0.10
-0.20
-0.30 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Data Analysis
• How has it changed?
• When did it change? • What caused the change?
0.00
-0.20
-0.40
-0.60
-0.80
-1.00 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Cusum
• Cusum
– The point where the slope changes shows you when the change in ∆b happened – Draw another cusum for each parameter you suspect may have caused the change – Compare when the changes happened
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Cusum
∆b and bead mill particle size cusum
0.20 0.10 0.00 -0.10 -0.20 -0.30 -0.40 -0.50
-0.60
-0.70 -0.80 -0.90 2013-03-26 2013-03-31 2013-04-05 2013-04-10 2013-04-15 2013-04-20
2013-04-15
2013-04-20
Cusum
Normalised ∆b and bead mill particle size cusum
1.00
0.80
0.60
0.40
0.20
0.00
-0.20 2013-03-26
2013-03-31
2013-04-05 ∆b d50
• 计算累积和
– 找到平均值 – 减去从每个数据点的平 均 – 写出累积的新值
Cusum累积和算法
Cusum
Jet mill 1 ∆b cusum
0.20
0.00
-0.20
-0.40
-0.60
-0.80
-1.00 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
• Cusum
– 图中的拐点告诉我们∆b 在什么时间发生变化
– 绘制你认为会引起变化 的任何一个参数的累积 图
– 比较一下什么时间发生 变化
Cusum
Bead mill particle size cusum
0.00 -0.02 -0.04 -0.06 -0.08 -0.10 -0.12 -0.14 -0.16 -0.18 -0.20 2013-03-26
• 怎样变化
• 什么时间变化 • 什么原因引起的变化
Cusum累积和算法
• Cusum
– Cumulative Sum of deviations
• 累积和算法
– 累积偏差之和
• To calculate a cusum
– Find average of the data – Subtract the average from each data point – Plot a cumulative sum of the new values
– 3) How does one set of data compare with another set?
• Gaussian distribution
– 3) 组数据如何与另一组数据 进行比较
• Gaussian distribution高斯分布
Cusum累积和算法
Data Analysis
• Cusum
– 两个参数在曲线图上的 最大距离是不同的
• 很难在那条红线上看出 变化的点
– Normalise the curves
• Divide every point by the value of the cusum curve at its maximum distance from zero
2013-04-20
Cusum
Jet mill 1 ∆b cusum
0.20
0.00
-0.20
-0.40
-0.60
-0.80
-1.00 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Cusum
Jet mill 1 ∆b cusum
Cusum
• Cusum
– The maximum distance of the cusum curve from zero is different for the two parameters
• Difficult to see the change point in the smaller one
– 使曲线正常化
• 每一个点都除以曲线上 从零开始的最大值
Cusum
Normalised ∆b and bead mill particle size cusum
1.00
0.80
0.60
0.40
0.20
0.00
-0.20 ห้องสมุดไป่ตู้013-03-26
2013-03-31
2013-04-05
2013-04-10
• Cusum
• 三种方法可以帮助我们把 数据变为有效的信息 • 三种方法对应三种问题类 型
– 1) 参数A中的变化引起参数 B的变化
• Cusum累积和算法
– 2) What is the trend in a series of data?
• EWMA
– 2) 一系列数据中有什么样的 趋势
• EWMA指数加权平均移动法
Data Analysis
数据分析
Data Analysis
• Three methods to help turn data into information • Answer three types of question
– 1) Did a change in parameter A cause the change in parameter B?
Jet mill 1 ∆b
0.30
0.20
0.10
0.00
-0.10
-0.20
-0.30 2013-03-26
2013-03-31
2013-04-05
2013-04-10
2013-04-15
2013-04-20
Data Analysis
• How has it changed?
• When did it change? • What caused the change?