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Lectures on Numerical Methods in Bifurcation Problems
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
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Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
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计数型控制图
Posted on 2010-04-28
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不良品率控制图(P图) 对产品不良品率进行监控时用的控制图; 质量特性良与不良,通常服从二项分布; 当样本容量n足够大时,例如, 该分布趋向于正态分布 适用于全检零件或每个时期的检验样本含量不同。 不良品率控制图(P图) 检验并记录数据 计算平均不合格品率P 计算中心线和控制界限 绘制控制图并进行分析 案例分析 在制造复杂的发动机的端盖时,如果有某些因素不合要求就判为不良品,在成品的全检中,现要求对每班产品的不良率作控制图。 每班检验的端盖总数就是样本量,共收集了25班的检验数及不良数。 案例分析 1.收集的数见下表: 案例分析 案例分析 绘制控制图,并进行分析: 单位缺陷数控制图(U图) 适合用于对单位样本数量(如面积、容积、长度、时间等)上缺陷数进行控制的场合; 通常服从泊松分布; 可近似与正态分布 来处理; 取样大小可以是不固定的,只要能计算出每单位上的缺陷数即可; 单位缺陷数控制图(U图) 案例分析 现需要对一注塑产品的缺陷进行控制图分析, 收集的数据记录如下表: 控制限的计算 案例分析 绘制控制图,并进行分析 其他的控制图 不良品数控制图(Pn图) 缺陷数控制图(C图) 不良品数控制图(Pn) 样本容量n恒定; 不合格品数是一个服从二项分布的随机变量; 当np≥ 5时近似服从正态分布N [np,np(1-p)] 不良品数控制图 确定数据样本容量n的大小,n常取50以上的数. 收集数据Pn1,Pn2, Pn3 , ……, Pnk ,k为样本数 计算控制中心和控制界限 绘制控制图并进行分析 缺陷数控制图(C图) 控制对象为一定单位(如一定长度、一定面积、一定体积等)上面的缺陷数; 如铸件表面的气孔数、机器装好后发现的故障数; 产品上的缺陷数服从泊松分布; 近似为正态分布处理,均值为C,标准偏差为 缺陷数控制图 1.收集数据: 一般取20~25组数据; 如果缺陷数较小,可将几个样本合为一个, 使每组缺陷数C=0的情况尽量减少,否则用来作控制图不适宜; 不同的缺陷应尽可能分层处理。 缺陷数控制图 2. 计算平均缺陷数 3. 计算中心线和控制界限: 4. 绘制控制图并进行分析 选择合适的控制图 课程内容回顾 * * 与n有关! 根据公式计算各 样本组的上下控制限 在实际应用中,当各组容量与其平均值相差不超过正负25%时,可用平均样本容量( )来计算控制限. 检验并记录数据 计算平均单位缺陷数 计算中心线和控制界限 绘制控制图并进行分析 与n有关! 设n为样本大小,C为缺陷数,则单位缺陷数为: u=c/n 在实际应用中,当各组容量与其平均值相差不超过正负25%时,可用平均样本容量( )来计算控制限. 计量型数据吗? 性质上是否均匀 或不能按子组取样? 关心的是 不合格品率吗? 样本容量 是否恒定? 样本容量
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