Charting the Basics with PROC GCHART
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Master Thesis
Structural Complexity of Manufacturing Systems Layout by Valeria Betzabe Espinoza Vega A Thesis Submitted to the Faculty of Graduate Studies through Industrial and Manufacturing Systems Engineering in Partial Fulfillment of the Requirements for the Degree of Master of Applied Science at the University of Windsor Windsor, Ontario, Canada © 2012 Valeria Espinoza Library and Archives Bibliothèque et Canada Archives Canada Published Heritage Direction du Branch Patrimoine de l'édition 395 Wellington Street 395, rue Wellington Ottawa ON K1A 0N4 Ottawa ON K1A 0N4 Canada Canada Your file Votre référence ISBN: 978-0-494-76377-3 Our file Notre référence ISBN: 978-0-494-76377-3 NOTICE: AVIS: The author has granted a non- L'auteur a accordé une licence non exclusive exclusive license allowing Library and permettant à la Bibliothèque et Archives Archives Canada to reproduce, Canada de reproduire, publier, archiver, publish, archive, preserve, conserve, sauvegarder, conserver, transmettre au public communicate to the public by par télécommunication ou par l'Internet, prêter, telecommunication or on the Internet, distribuer et vendre des thèses partout dans le loan, distrbute and sell theses monde, à des fins commerciales ou autres, sur worldwide, for commercial or non- support microforme, papier, électronique et/ou commercial purposes, in microform, autres formats. paper, electronic and/or any other formats. The author retains copyright L'auteur conserve la propriété du droit d'auteur ownership and moral rights in this et des droits moraux qui protege cette thèse. Ni thesis. Neither the thesis nor la thèse ni des extraits substantiels de celle-ci substantial extracts from it may be ne doivent être imprimés ou autrement printed or otherwise reproduced reproduits sans son autorisation. -
Multivariate Process Control with Radar Charts
SEMATECH 1996 Statistical Methods Symposium, San Antonio Multivariate Process Control with Radar Charts Dave Trindade, Ph.D. Senior Fellow, Applied Statistics AMD, Sunnyvale, CA Introduction ! Multivariate statistical process control ! Monitoring with separate X control charts ! Hotelling T2 statistic ! Radar or web plots ! Microsoft EXCEL capabilities – Matrix manipulation – Graphical Outline of Presentation ! Example of process with two quality characteristics per sample ! Univariate and multivariate considerations ! Calculations and graphical analysis in EXCEL ! Implications Vocabulary ! Multivariate ! Matrix representation ! Hotelling T2 statistic ! Radar or web plots ! Subgroups Vs. individual observations Multivariate SPC ! Consider a process in which two quality characteristics (p = 2) are measured on each of four samples (n = 4) within a subgroup. ! Data on twenty subgroups are available (k = 20) ! Data is from Thomas P. Ryan, Statistical Methods for Quality Improvement Sample Data for Each Subgroup Subgroup Number First Variable X Second Variable X 1 7284794923302810 2 5687334214318 9 3 5573226013226 16 4 44 80 54 74 9 28 15 25 5 9726485836101415 6 8389916230353618 7 4766535812181416 8 8850846931113019 9 5747414614108 10 10 26 39 52 48 7 11 35 30 11 46 27 63 34 10 8 19 9 12 49 62 78 87 11 20 27 31 13 71 63 82 55 22 16 31 15 14 71 58 69 70 21 19 17 20 15 67 69 70 94 18 19 18 35 16 55 63 72 49 15 16 20 12 17 49 51 55 76 13 14 16 26 18 72 80 61 59 22 28 18 17 19 61 74 62 57 19 20 16 14 20 35 38 41 46 10 11 13 16 Multivariate observations are (72,23), (84,30), …, (46, 16). -
2. Graphing Distributions
2. Graphing Distributions A. Qualitative Variables B. Quantitative Variables 1. Stem and Leaf Displays 2. Histograms 3. Frequency Polygons 4. Box Plots 5. Bar Charts 6. Line Graphs 7. Dot Plots C. Exercises Graphing data is the first and often most important step in data analysis. In this day of computers, researchers all too often see only the results of complex computer analyses without ever taking a close look at the data themselves. This is all the more unfortunate because computers can create many types of graphs quickly and easily. This chapter covers some classic types of graphs such bar charts that were invented by William Playfair in the 18th century as well as graphs such as box plots invented by John Tukey in the 20th century. 65 by David M. Lane Prerequisites • Chapter 1: Variables Learning Objectives 1. Create a frequency table 2. Determine when pie charts are valuable and when they are not 3. Create and interpret bar charts 4. Identify common graphical mistakes When Apple Computer introduced the iMac computer in August 1998, the company wanted to learn whether the iMac was expanding Apple’s market share. Was the iMac just attracting previous Macintosh owners? Or was it purchased by newcomers to the computer market and by previous Windows users who were switching over? To find out, 500 iMac customers were interviewed. Each customer was categorized as a previous Macintosh owner, a previous Windows owner, or a new computer purchaser. This section examines graphical methods for displaying the results of the interviews. We’ll learn some general lessons about how to graph data that fall into a small number of categories. -
Chapter 16.Tst
Chapter 16 Statistical Quality Control- Prof. Dr. Samir Safi TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1) Statistical process control uses regression and other forecasting tools to help control processes. 1) 2) It is impossible to develop a process that has zero variability. 2) 3) If all of the control points on a control chart lie between the UCL and the LCL, the process is always 3) in control. 4) An x-bar chart would be appropriate to monitor the number of defects in a production lot. 4) 5) The central limit theorem provides the statistical foundation for control charts. 5) 6) If we are tracking quality of performance for a class of students, we should plot the individual 6) grades on an x-bar chart, and the pass/fail result on a p-chart. 7) A p-chart could be used to monitor the average weight of cereal boxes. 7) 8) If we are attempting to control the diameter of bowling bowls, we will find a p-chart to be quite 8) helpful. 9) A c-chart would be appropriate to monitor the number of weld defects on the steel plates of a 9) ship's hull. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following is not a popular definition of quality? 1) A) Quality is fitness for use. B) Quality is the totality of features and characteristics of a product or service that bears on its ability to satisfy stated or implied needs. -
Section 2.2: Bar Charts and Pie Charts
Section 2.2: Bar Charts and Pie Charts 1 Raw Data is Ugly Graphical representations of data always look pretty in newspapers, magazines and books. What you haven’tseen is the blood, sweat and tears that it some- times takes to get those results. http://seatgeek.com/blog/mlb/5-useful-charts-for-baseball-fans-mlb-ticket-prices- by-day-time 1 Google listing for Ru San’sKennesaw location 2 The previous examples are informative graphical displays of data. They all started life as bland data sets. 2 Bar Charts Bar charts are a visual way to organize data. The height or length of a bar rep- resents the number of points of data (frequency distribution) in a particular category. One can also let the bar represent the percentage of data (relative frequency distribution) in a category. Example 1 From (http://vgsales.wikia.com/wiki/Halo) consider the sales …g- ures for Microsoft’s videogame franchise, Halo. Here is the raw data. Year Game Units Sold (in millions) 2001 Halo: Combat Evolved 5.5 2004 Halo 2 8 2007 Halo 3 12.06 2009 Halo Wars 2.54 2009 Halo 3: ODST 6.32 2010 Halo: Reach 9.76 2011 Halo: Combat Evolved Anniversary 2.37 2012 Halo 4 9.52 2014 Halo: The Master Chief Collection 2.61 2015 Halo 5 5 Let’s construct a bar chart based on units sold. Translating frequencies into relative frequencies is an easy process. A rela- tive frequency is the frequency divided by total number of data points. Example 2 Create a relative frequency chart for Halo games. -
Statistical Analysis Plan Revisions Version 1.0 – 16 October 2017
Risankizumab (ABBV-066) M16-002 (BI 1311.5) – Statistical Analysis Plan Revisions Version 1.0 – 16 October 2017 3.0 Introduction This document is an explanation of differences between the analysis performed after final database lock and those detailed in the SAP. The changes include: ● Section 6.4: Updates to the visit window for mTSS. Rationale: Updated window more accurately encompasses observations appropriate to label as baseline. ● Section 6.5: mTSS and PsAMRIS removed from 6.5 Missing Data Handling. Rationale: No subject level imputation will be performed for continuous imaging data. ● Section 7.1: Removed statistical testing between placebo arm and the mixed two arms at baseline. Rationale: No statistical testing for baseline characteristics. ● Section 9.0: Planned number of visits when injection planned has been capped at 5. Rationale: No subject should have more than 5 planned visits. ● Section 10.1: Table 12 has been updated. Rationale: Some efficacy endpoints have been added and some analyses have changed. ● Section 10.6 List of further efficacy endpoints has been updated. Rationale: Some efficacy endpoints have been added and some analyses have changed ● Section 10.9.10: The addition of a PASI LOCF sensitivity analysis. Rationale: Sensitivity analysis added due to the presence of PASI missing data. ● Section 10.9.12: Updates to what defines a dactylic digit. Rationale: Added a missing component of the definition of dactylitis. ● Section 10.9.20: Updates to the scoring and missing data rules for mTSS. Rationale: Two separate methods of analysis will be performed for mTSS. 2 Risankizumab (ABBV-066) M16-002 (BI 1311.5) – Statistical Analysis Plan Revisions Version 1.0 – 16 October 2017 ● Section 10.9.21: Updated PsAMRIS analysis to be descriptive statistics only. -
Bar Charts and Box Plots Normal Poisson Exponential Creating a Simple Yet Effective Plot Requires an 02468 C 1.0 Exponential Uniform Understanding of Data and Tasks
THIS MONTH a Uniform POINTS OF VIEW Normal Poisson Exponential 02468 b Uniform Bar charts and box plots Normal Poisson Exponential Creating a simple yet effective plot requires an 02468 c 1.0 Exponential Uniform understanding of data and tasks. λ = 1 Min = 5.5 Normal Max = 6.5 0.5 Poisson σμ= 1, = 5 μ = 2 Bar charts and box plots are omnipresent in the scientific literature. 0 02468 They are typically used to visualize quantities associated with a set of Figure 2 | Representation of four distributions with bar charts and box plots. items. Representing the data accurately, however, requires choosing (a) Bar chart showing sample means (n = 1,000) with standard-deviation the appropriate plot according to the nature of the data and the task at error bars. (b) Box plot (n = 1,000) with whiskers extending to ±1.5 × IQR. hand. Bar charts are appropriate for counts, whereas box plots should (c) Probability density functions of the distributions in a and b. λ, rate; be used to represent the characteristics of a distribution. µ, mean; σ, standard deviation. Bar charts encode quantities by length, which is a highly accurate visual encoding and preferred over the angle-based strategy used in to represent such uncertainty. However, because the bars always start pie charts (Fig. 1a). Often the counts that we want to represent are at zero, they can be misleading: for example, part of the range covered sums over multiple categories. There are several options to visualize by the bar might have never been observed in the sample. -
Measurement & Transformations
Chapter 3 Measurement & Transformations 3.1 Measurement Scales: Traditional Classifica- tion Statisticians call an attribute on which observations differ a variable. The type of unit on which a variable is measured is called a scale.Traditionally,statisticians talk of four types of measurement scales: (1) nominal,(2)ordinal,(3)interval, and (4) ratio. 3.1.1 Nominal Scales The word nominal is derived from nomen,theLatinwordforname.Nominal scales merely name differences and are used most often for qualitative variables in which observations are classified into discrete groups. The key attribute for anominalscaleisthatthereisnoinherentquantitativedifferenceamongthe categories. Sex, religion, and race are three classic nominal scales used in the behavioral sciences. Taxonomic categories (rodent, primate, canine) are nomi- nal scales in biology. Variables on a nominal scale are often called categorical variables. For the neuroscientist, the best criterion for determining whether a variable is on a nominal scale is the “plotting” criteria. If you plot a bar chart of, say, means for the groups and order the groups in any way possible without making the graph “stupid,” then the variable is nominal or categorical. For example, were the variable strains of mice, then the order of the means is not material. Hence, “strain” is nominal or categorical. On the other hand, if the groups were 0 mgs, 10mgs, and 15 mgs of active drug, then having a bar chart with 15 mgs first, then 0 mgs, and finally 10 mgs is stupid. Here “milligrams of drug” is not anominalorcategoricalvariable. 1 CHAPTER 3. MEASUREMENT & TRANSFORMATIONS 2 3.1.2 Ordinal Scales Ordinal scales rank-order observations. -
Chapter 6 Presenting Your Data in Graphic Form Political Orientations
UNIVARIATE ANALYSIS Chapter 6 Presenting Your Data in Graphic Form Political Orientations Now let’s turn our attention from religion to politics. Some people feel so strongly about politics that they joke about it being a religion. The General Social Survey distribute(GSS) data set has several items that reflect political issues. Two are key political items: POLVIEWS and PARTYID. These items will be the primary focus in this chapter. In the process of examining these variables, we are going to learn not only more about the politicalor orientations of respon- dents to the 2012 GSS but also how to use SPSS Statistics to produce and interpret data in graphic form. You will recall that in the previous chapter, we focused on a variety of ways of displaying univariate distributions (frequency tables) and summarizing them (measures of central ten- dency and dispersion). In this chapter, we are going to build on that discussion by focusing on several ways of presenting your data graphically. We will begin by focusing on two charts thatpost, are useful for variables at the nominal and ordinal levels: bar charts and pie charts. We will then consider two graphs appropriate for interval/ratio variables: histograms and line charts. Graphing Data With Direct “Legacy” Dialogs SPSS Statistics gives us acopy, variety of ways to present data graphically. Clicking the Graphs option on the menu bar will give you three options for building charts: Chart Builder, Interactive, and Legacy Dialogs. These take you to two chart-building methods developed by SPSS over the past 20 years. Chart Builder is the most recent. -
Jeong HJ, Kim M, an EA, Et Al. a Strategy to Develop Tailored Patient Safety Culture Improvement Programs with Latent Class Analysis Method
Biometrics & Biostatistics International Journal Research Article Open Access A strategy to develop tailored patient safety culture improvement programs with latent class analysis method Abstract Volume 2 Issue 2 - 2015 As patient safety can be built only on the bedrock of safety culture, many hospitals Heon-Jae Jeong,1 Minji Kim,2 EunAe An,3 So have designed and implemented their own safety culture improvement programs. 4 4 Although carefully tailored clinical area specific programs would be most effective, Yeon Kim, ByungJoo Song 1Department of Health Policy and Management, Johns Hopkins lack of resources precludes this. This study applied a latent class analysis method Bloomberg School of Public Health, Johns Hopkins University, and classified 72 clinical areas in a large tertiary hospital into four classes according Baltimore, USA to their score patterns in the six domains of the Korean version of Safety Attitudes 2Annenberg School for Communication, University of Questionnaire (SAQ-K). Bayesian information criterion (BIC) and bootstrapped Pennsylvania, USA likelihood ratio test (BLRT) were used in deciding the number of classes. We named 3Leadership Development Division, The Catholic Education the best class estimate in each of the SAQ-K domains the ‘current maxima,’ the goals Foundation, Korea of which other classes aim to improve. Because the job satisfaction domain cannot be 4Performance Improvement Team, Seoul St. Mary’s Hospital, The directly improved, we excluded it from the goal setting process. One class dominated Catholic University of Korea, Korea the other three in most domains. The difference between the best class and others, the ‘room for change,’ can be used in deciding which clinical areas should be focused first Correspondence: Heon-Jae Jeong, Department of Health and how much resources should be invested in developing safety culture improvement Policy and Management, Johns Hopkins Bloomberg School of programs. -
Stacked Bar Charts……………………………………………12
Effective Use of Bar Charts Purpose This tool provides guidelines and tips on how to effectively use bar charts to communicate research findings. Format This tool provides guidance on bar charts and their purposes, shows examples of preferred practices and practical tips for bar charts, and provides cautions and examples of misuse and poor use of bar charts and how to make corrections. Audience This tool is designed primarily for researchers from the Model Systems that are funded by the National Institute on Disability, Independent Living, and Rehabilitation Research (NIDILRR). The tool can be adapted by other NIDILRR-funded grantees and the general public. The contents of this tool were developed under a grant from the National Institute on Disability, Independent Living, and Rehabilitation Research (NIDILRR grant number 90DP0012-01-00). The contents of this fact sheet do not necessarily represent the policy of Department of Health and Human Services, and you should not assume endorsement by the Federal Government. 1 Overview and Organization Simple Bar Charts……………………………………..……....3 Clustered Bar Charts…………………………………………10 Stacked Bar Charts……………………………………………12 Paired Bar Charts…………………………………………..…14 Simple Bar Chart – Categorical Comparisons A bar chart is basically a vertical column chart oriented horizontally instead. Data values are displayed as horizontal bars. The magnitude of each data element is represented by the length of the bar. Can be used to display values for categorical items (diabetes prevalence by state, hospital performance rankings on a preferred clinical practice measure etc). Shows comparisons among the categorical groups on the measure. Categories displayed on the vertical axis. Simple Bar Chart – Categorical Comparisons Bar charts are preferred over column charts: When the categorical axis labels are lengthy; When you have 12 or more categories; When the metric to be displayed is duration (such as clinic lobby wait time per health center). -
Which Chart Or Graph Is Right for You?
Which chart or graph is right for you? Tracy Rodgers, Product Marketing Manager Robert Bloom, Tableau Engineer You’ve got data and you’ve got questions. You know there’s a chart or graph out there that will find the answer you’re looking for, but it’s not always easy knowing which one is best without some trial and error. This paper pairs appropriate charts with the type of data you’re analyzing and questions you want to answer. But it won’t stop there. Stranding your data in isolated, static graphs limits the number and depth of questions you can answer. Let your analysis become your organization’s centerpiece by using it to fuel exploration. Combine related charts. Add a map. Provide filters to dig deeper. The impact? Immediate business insight and answers to questions that actually drive decisions. So, which chart is right for you? Transforming data into an effective visualization (any kind of chart or graph) or dashboard is the first step towards making your data make an impact. Here are some best practices for conducting meaningful visual analysis: 2 Bar chart Bar charts are one of the most common data visualizations. With them, you can quickly highlight differences between categories, clearly show trends and outliers, and reveal historical highs and lows at a glance. Bar charts are especially effective when you have data that can be split into multiple categories. Use bar charts to: • Compare data across categories. Bar charts are best suited for data that can be split into several groups. For example, volume of shirts in different sizes, website traffic by referrer, and percent of spending by department.