Quality Improvement of a Plastic Injection Molder Iowa State University March 19,1999 Kevin Dodd Salvador Neaves Kendall Ney Matt Raine.

Slides:



Advertisements
Similar presentations
Injection Moulding Technology
Advertisements

13- 1 Chapter Thirteen McGraw-Hill/Irwin © 2005 The McGraw-Hill Companies, Inc., All Rights Reserved.
Chicago Insurance Redlining Example Were insurance companies in Chicago denying insurance in neighborhoods based on race?
Design and Analysis of Experiments Dr. Tai-Yue Wang Department of Industrial and Information Management National Cheng Kung University Tainan, TAIWAN,
Section 4.2 Fitting Curves and Surfaces by Least Squares.
14-1 Introduction An experiment is a test or series of tests. The design of an experiment plays a major role in the eventual solution of the problem.
Determining How Costs Behave
Note 14 of 5E Statistics with Economics and Business Applications Chapter 12 Multiple Regression Analysis A brief exposition.
Additional Topics in Regression Analysis
Stat Today: General Linear Model Assignment 1:
Multivariate Data Analysis Chapter 4 – Multiple Regression.
Industrial Applications of Response Surface Methodolgy John Borkowski Montana State University Pattaya Conference on Statistics Pattaya, Thailand.
Statistics: The Science of Learning from Data Data Collection Data Analysis Interpretation Prediction  Take Action W.E. Deming “The value of statistics.
Simple Linear Regression Analysis
Basic Business Statistics, 11e © 2009 Prentice-Hall, Inc. Chap 15-1 Chapter 15 Multiple Regression Model Building Basic Business Statistics 11 th Edition.
Forecasting Revenue: An Example of Regression Model Building Setting: Possibly a large set of predictor variables used to predict future quarterly revenues.
Chemometrics Method comparison
Statistical Process Control
1 14 Design of Experiments with Several Factors 14-1 Introduction 14-2 Factorial Experiments 14-3 Two-Factor Factorial Experiments Statistical analysis.
Diploma in Statistics Introduction to Regression Lecture 5.11 Introduction to Regression Lecture Review 2.Transforming data, the log transform i.liver.
Inference for regression - Simple linear regression
Estimation of Demand Prof. Ravikesh Srivastava Lecture-8.
Annex I: Methods & Tools prepared by some members of the ICH Q9 EWG for example only; not an official policy/guidance July 2006, slide 1 ICH Q9 QUALITY.
CLASS B.Sc.III PAPER APPLIED STATISTICS. Time Series “The Art of Forecasting”
Linear Regression: Test scores vs. HW scores. Positive/Negative Correlation.
Verification & Validation
M23- Residuals & Minitab 1  Department of ISM, University of Alabama, ResidualsResiduals A continuation of regression analysis.
Variable selection and model building Part II. Statement of situation A common situation is that there is a large set of candidate predictor variables.
Ch4 Describing Relationships Between Variables. Pressure.
Business Statistics, 4e, by Ken Black. © 2003 John Wiley & Sons Business Statistics, 4e by Ken Black Chapter 15 Building Multiple Regression Models.
Name: Angelica F. White WEMBA10. Teach students how to make sound decisions and recommendations that are based on reliable quantitative information During.
Copyright © 2003 Pearson Education Canada Inc. Slide Chapter 10 Determining How Costs Behave.
Business Statistics: A First Course, 5e © 2009 Prentice-Hall, Inc. Chap 12-1 Correlation and Regression.
1 © 2008 Brooks/Cole, a division of Thomson Learning, Inc. Chapter 5 Summarizing Bivariate Data.
UNDERSTANDING RESEARCH RESULTS: DESCRIPTION AND CORRELATION © 2012 The McGraw-Hill Companies, Inc.
EQT373 STATISTIC FOR ENGINEERS Design of Experiment (DOE) Noorulnajwa Diyana Yaacob School of Bioprocess Engineering Universiti Malaysia Perlis 30 April.
Correlation & Regression
Summarizing Bivariate Data
Multiple regression models Experimental design and data analysis for biologists (Quinn & Keough, 2002) Environmental sampling and analysis.
Time Series Analysis and Forecasting
Review of Building Multiple Regression Models Generalization of univariate linear regression models. One unit of data with a value of dependent variable.
Inference for regression - More details about simple linear regression IPS chapter 10.2 © 2006 W.H. Freeman and Company.
14- 1 Chapter Fourteen McGraw-Hill/Irwin © 2006 The McGraw-Hill Companies, Inc., All Rights Reserved.
Time Series Analysis – Chapter 6 Odds and Ends
Slide 1 DSCI 5340: Predictive Modeling and Business Forecasting Spring 2013 – Dr. Nick Evangelopoulos Lecture 2: Review of Multiple Regression (Ch. 4-5)
UNDERSTANDING DESCRIPTION AND CORRELATION. CORRELATION COEFFICIENTS: DESCRIBING THE STRENGTH OF RELATIONSHIPS Pearson r Correlation Coefficient Strength.
Time Series Analysis and Forecasting. Introduction to Time Series Analysis A time-series is a set of observations on a quantitative variable collected.
Chapter 10: Determining How Costs Behave 1 Horngren 13e.
Chapter 7 – Binary or Zero/one or Dummy Variables.
Business Statistics, 4e, by Ken Black. © 2003 John Wiley & Sons Business Statistics, 4e by Ken Black Chapter 14 Multiple Regression Analysis.
Statistics for Managers Using Microsoft Excel, 4e © 2004 Prentice-Hall, Inc. Chap 14-1 Chapter 14 Multiple Regression Model Building Statistics for Managers.
Inference for regression - More details about simple linear regression IPS chapter 10.2 © 2006 W.H. Freeman and Company.
732G21/732G28/732A35 Lecture 4. Variance-covariance matrix for the regression coefficients 2.
Variable selection and model building Part I. Statement of situation A common situation is that there is a large set of candidate predictor variables.
Multicollinearity. Multicollinearity (or intercorrelation) exists when at least some of the predictor variables are correlated among themselves. In observational.
732G21/732G28/732A35 Lecture 3. Properties of the model errors ε 4. ε are assumed to be normally distributed
F5 Performance Management. 2 Section C: Budgeting Designed to give you knowledge and application of: C1. Objectives C2. Budgetary systems C3. Types of.
Model selection and model building. Model selection Selection of predictor variables.
David Housman for Math 323 Probability and Statistics Class 05 Ion Sensitive Electrodes.
Chapter 15 Inference for Regression. How is this similar to what we have done in the past few chapters?  We have been using statistics to estimate parameters.
1 Determining How Costs Behave. 2 Knowing how costs vary by identifying the drivers of costs and by distinguishing fixed from variable costs are frequently.
Chapter 15 Multiple Regression Model Building
Regression Diagnostics
IE-432 Design Of Industrial Experiments
Using Baseline Data in Quality Problem Solving
ENM 310 Design of Experiments and Regression Analysis Chapter 3
DESIGN OF EXPERIMENTS by R. C. Baker
14 Design of Experiments with Several Factors CHAPTER OUTLINE
Presentation transcript:

Quality Improvement of a Plastic Injection Molder Iowa State University March 19,1999 Kevin Dodd Salvador Neaves Kendall Ney Matt Raine

Why An Injection Molding Corporation? Large industrial facility Injection Molding demands precision Injection molding is the wave of the future

Objectives Attempt a logical statistical quality analysis in a real world situation Provide a useful assessment of the variability in an injection molding process Characterize the current process performance Work to improve unsatisfactory performance

What ? Analyze the variability of pre-form weights for a 48-cavity injection molding machine

Inside an Injection Molding Plant

Initial Analysis We began by benchmarking the current process to determine how the machine is currently running Based on these findings and past performance, four variables with the greatest potential impact on pre-form weight were chosen for an experiment

Factors Analyzed in an Injection Molding Process Experiment Hold Time ( sec) Hold Pressure ( psi) Injection Time ( sec) Injection Pressure ( % of 2800psi)

Data Collection Five cavities were selected to represent performance throughout the mold

Data Collection Keeping these five cavities constant, the mean and variability across cavities could be observed Pre-forms were taken from these same cavities for each of 33 different set-ups and weighed on the same scale

Data Collection All 16 combinations of High and Low values 1 All-nominal run (combination of Medium values) 16 combinations of High-Medium-Low values Total number of set-ups = 33 Set-ups

Data Collection 33 set-ups X 5 runs/set-up X 48 pre-forms/run = 7920 pre-forms manufactured 33 set-ups X 5 runs/set-up X 5 pre-forms/run = 825 pre-forms weighed Total pre-forms analyzed

Experimental Matrix (Partial)

Data Analysis Tools Used in the analysis Minitab “DOE” quadratic regression used to identify the most influential variables and model response Minitab for contour and surface plots

Example Regression Analysis Response Surface Regression Estimated Regression Coefficients for Y-bar Term Coefficients T P Constant Hold Pressure Hold Time Injection Fill Pre Hold Pre*Hold Pre Hold Tim*Hold Tim Injectio*Injectio Fill Pre*Fill Pre Hold Pre*Hold Tim S = R-Sq = 99.7% R-Sq(adj) = 99.7%

Summary of Quadratic Regression Analyses All 4 variables as predictors of Y-bar R-Sqrd = 99.7% Hold Time - Hold Pressure as predictors of Y-bar R-Sqrd = 97.7% All 4 variables as predictors of log(StDev) R-Sqrd = 69.3% Hold Pressure as predictor of log(StDev) R-Sqrd = 53.5%

Contour Plot

Fitted Regression Equation for Log (StDev) (measuring within-die variability)

Results From the contour plot for Y-bar we are able to choose values for Hold Time and Hold Pressure to produce an ideal mean weight (23.4gr) From the regression analysis for Log(StDev) we found that within die variability is minimum around 880psi Hold Pressure Predicted Log(StDev) for Hold Pressure in the range psi is not substantially larger the minimum possible (minimum is at 880psi)

Results The company prefers a small Hold Time, so for a target value of 23.4 grams, using the contour plot we recommend: Hold Pressure= 1140psi Hold Time = 3.95sec

Initial Verification Study Benchmarking: Average weight = gr Verification Run: Average weight= gr

Further Verification Compare historical machine output against weights produced using set-up taken from the contour plot (all 48 cavities) (Routine process monitoring done on the basis of 6 randomly selected pre-forms each hour)

Histogram of Historical Data Y-bar = 23.28gr. StDev = 0.035gr.

Histogram of Current Data Y-bar = 23.38gr. StDev = 0.037gr.

Comparison Histograms

Recommendations We suggest the company use contour plots as a guide to setting the values of the Hold Time and Hold pressure and move Hold Pressure toward 880psi to whatever extent is possible (and is consistent with low cycle time goals) -These values will help provide the company with an optimal set-up for pre- form weights near 23.4gr

??? Questions ???