Page 1. Graphical and Numerical Statistics
|
|
- Maurice Preston
- 5 years ago
- Views:
Transcription
1 TOPIC: Description Statistics In this tutorial, we show how to use MINITAB to produce descriptive statistics, both graphical and numerical, for an existing MINITAB dataset. The example data come from Exercise # 63 on page 46 of the textbook. Exercise 63: Asampleofsize77individualsworkingataparticularo cewas selected and the noise level (dba) experienced by each individual was determined, yielding the following data: The publisher has already provided this data, and all other datasets, in MINITAB format. Make sure you download the data from either the Canvas page or the course webpage ( Opening an Existing MINITAB worksheet: To open an existing MINITAB dataset, after you have started a MINITAB session. Go to File, then Open Worksheet. At this point you must navigate to either an existing MINTAB worksheet (*.mtw) or project (*.mtp). The textbook data is saved as *.mtw. So, navigate to the folder where you have downloaded the textbook data and scroll down till you see Ex01-63.mtw. When you click on this dataset it should open up into the worksheet/spreadsheet screen in MINITAB. Make sure you confirm that the data is now open inside of MINITAB before proceeding. In the pages that follow, we show you how to produce the following for the above example data. 1. Stem-and-Leaf Plot 2. Numerical Statistics 3. Boxplots 4. Historgrams 5. Normal Probability Plot Page 1
2 1. Producing a Stem-and-Leaf Plot in MINITAB: Go to Graph, then Stem-and-leaf. When the dialogue box appears, you should see a list of variables in the worksheet, which in this case is one variable, C1: Noise (dba). Click your mouse in the Graph Variables box, then bring the mouse over to the variable list and double-click on the variable you want to build a stem-and-leaf plot for. This action should result in the variable name appearing in the Graph Variables box. Note: for this example we will use the default setting for the plot, so just click OK after you have completed the previous steps. The following stem-and-leaf plot should appear on your screen inside the session area (note: this can be directly copied and pasted into any document). Stem-and-Leaf Display: noise (dba) Stem-and-leaf of noise (dba) N = 77 Leaf Unit = (10) The default plot used the tens place as the stems and the ones place for the leaves and the decimal place was ignored. The first column in the above plot represents the cumulative frequency of each row till you get to the middle and then its the reverse order cumulative frequency from the largest number to the middle. Reporting the data like this makes it easy for us to examine the shape of the sample distribution, location, the quantiles like the median and the first and third quartiles and find any gaps in the data. Note: since the sample size, n=77, is odd, the median has rank (n +1)/2 =78/2 =39. So, the median is located in the 39 t h position in the ordered dataset. MINITAB orders the leaves, so we know that the median is the first value Page 2
3 on the center stem, since the first 38 smallest values are 63 or less. Therefore, the median is 64.7, so x = Computing Numerical Descriptive Statistics: To find the numerical statistics using MINITAB, go to Stat, Basic Statistics, and Display Descriptive Statistics. As before, click your mouse in the Variables box first, then go over to the list of variables and double-click on the variable of interest. This variable name (and/or label) should appear in the variables box. Now, to choose the statistics you want computed click on the Statistics button and check the boxes of the statistics you want computed. For this example, I chose Mean, Standard Deviation, Variance, First Quartile, Median and Third Quartile. After you have checked the appropriate boxes, click OK and then again click OK in the original dialogue box. The statistics you selected should appear in you session window. I have copied and pasted them below. Descriptive Statistics: noise (dba) Variable N N* Mean StDev Variance Q1 Median Q3 noise (dba) Note that the above indicates that n =77. ThevalueN = 0 in MINITAB means the number of missing values is zero. The sample mean is x =64.89, the sample standard deviation is s =7.80, the sample variance is s 2 =60.88, the first quartile is Q 1 =57.8, the median is x =64.7 andthethirdquartileisq 3. Page 3
4 3. BoxPlot, a graphical representation of the sample distribution: To get a BoxPlot from MINITAB, go to Graph, Boxplot, and chose Simple for the type of boxplot and then click OK. This brings you to the selection of variables and options dialogue box, as before. Click your mouse in the Graph Variables box then move the mouse over to the variables list and double-click on the variable you wish to graph. To use the default settings, click OK and the following boxplot should appear. Recall, the boxplot graphically represents the sample distribution by plotting the First Quartile (top of the box), the Median (the line in between the top and bottom of the box) and the third quartile (the top of the box), along with the whiskers, Q1 1.5(Q3 Q1) and Q3+1.5(Q3 Q1). Page 4
5 4. Histogram: another way to examine the sample distribution: To produce a histogram of the data, go to Graph, then Histogram and choose Simple or with fit. Simple just gives you a Histogram, with fit gives you the same histogram but with a Normal curve overlaid (or whatever distribution you choose in the options). I chose with fit. As before, click your mouse in the Graph Variables box and then move your mouse to the variable list and double-click the appropriate variables. For this example, we will use the default histogram. Notice that the Histogram reveals some gaps in the data (as noted earlier), that the distribution looks to be bimodal, and skewed right. The box in the upper right hand corner reports the sample size, the sample mean and sample standard deviation (all statistics we computed previously). The bell shaped curve is the pdf for a Normal random variable with mean and standard deviation equal to the sample mean and standard deviation (which is why its call a fit ). Notice that the histogram doesn t fit neatly beneath the curve which is indicative that the data might not have come from a Normal population. Page 5
6 5. Normal Probability Plot for assessing normality: Graph, Probability Plot, then choose single plot. As before, make sure the appropriate variable name appears in the Graph Variables Box. Make sure that the distribution that the sample quantiles are plot agains is the Normal distribution (it is the default distribution), by clicking on Distribution and choosing Normal in the distribution box (note: the are several distributions to choose from). Also, to remove the default confidence intervals, click on the Data Display tab and uncheck the box that says show confidence intervals. Click OK and OK. These actions should produce the following PP-Plot Note: the normal probability plot is a scatter plot of the quantiles from a normally distributed population versus the sample quantiles. If the sample came from a normal population, then the points should tend to fall on a straight line. This plot indicates that the data tend to deviate from a normal population because the lower tail is much heavier (notice how the lower quantiles systematically fall below the line). Page 6
Minitab Notes for Activity 1
Minitab Notes for Activity 1 Creating the Worksheet 1. Label the columns as team, heat, and time. 2. Have Minitab automatically enter the team data for you. a. Choose Calc / Make Patterned Data / Simple
More informationNumerical Descriptive Measures
Chapter 3 Numerical Descriptive Measures 1 Numerical Descriptive Measures Chapter 3 Measures of Central Tendency and Measures of Dispersion A sample of 40 students at a university was randomly selected,
More informationChapter 3: Data Description Calculate Mean, Median, Mode, Range, Variation, Standard Deviation, Quartiles, standard scores; construct Boxplots.
MINITAB Guide PREFACE Preface This guide is used as part of the Elementary Statistics class (Course Number 227) offered at Los Angeles Mission College. It is structured to follow the contents of the textbook
More informationQuality and Six Sigma Tools using MINITAB Statistical Software: A complete Guide to Six Sigma DMAIC Tools using MINITAB
Samples from MINITAB Book Quality and Six Sigma Tools using MINITAB Statistical Software A complete Guide to Six Sigma DMAIC Tools using MINITAB Prof. Amar Sahay, Ph.D. One of the major objectives of this
More informationThe first few questions on this worksheet will deal with measures of central tendency. These data types tell us where the center of the data set lies.
Instructions: You are given the following data below these instructions. Your client (Courtney) wants you to statistically analyze the data to help her reach conclusions about how well she is teaching.
More informationChapter 3 - Displaying and Summarizing Quantitative Data
Chapter 3 - Displaying and Summarizing Quantitative Data 3.1 Graphs for Quantitative Data (LABEL GRAPHS) August 25, 2014 Histogram (p. 44) - Graph that uses bars to represent different frequencies or relative
More informationAn Introduction to Minitab Statistics 529
An Introduction to Minitab Statistics 529 1 Introduction MINITAB is a computing package for performing simple statistical analyses. The current version on the PC is 15. MINITAB is no longer made for the
More informationChapter 6: DESCRIPTIVE STATISTICS
Chapter 6: DESCRIPTIVE STATISTICS Random Sampling Numerical Summaries Stem-n-Leaf plots Histograms, and Box plots Time Sequence Plots Normal Probability Plots Sections 6-1 to 6-5, and 6-7 Random Sampling
More informationBluman & Mayer, Elementary Statistics, A Step by Step Approach, Canadian Edition
Bluman & Mayer, Elementary Statistics, A Step by Step Approach, Canadian Edition Online Learning Centre Technology Step-by-Step - Minitab Minitab is a statistical software application originally created
More informationIn Minitab interface has two windows named Session window and Worksheet window.
Minitab Minitab is a statistics package. It was developed at the Pennsylvania State University by researchers Barbara F. Ryan, Thomas A. Ryan, Jr., and Brian L. Joiner in 1972. Minitab began as a light
More informationMinitab 17 commands Prepared by Jeffrey S. Simonoff
Minitab 17 commands Prepared by Jeffrey S. Simonoff Data entry and manipulation To enter data by hand, click on the Worksheet window, and enter the values in as you would in any spreadsheet. To then save
More informationYour Name: Section: 2. To develop an understanding of the standard deviation as a measure of spread.
Your Name: Section: 36-201 INTRODUCTION TO STATISTICAL REASONING Computer Lab #3 Interpreting the Standard Deviation and Exploring Transformations Objectives: 1. To review stem-and-leaf plots and their
More informationCHAPTER 1. Introduction. Statistics: Statistics is the science of collecting, organizing, analyzing, presenting and interpreting data.
1 CHAPTER 1 Introduction Statistics: Statistics is the science of collecting, organizing, analyzing, presenting and interpreting data. Variable: Any characteristic of a person or thing that can be expressed
More informationGETTING STARTED WITH MINITAB INTRODUCTION TO MINITAB STATISTICAL SOFTWARE
Six Sigma Quality Concepts & Cases Volume I STATISTICAL TOOLS IN SIX SIGMA DMAIC PROCESS WITH MINITAB APPLICATIONS CHAPTER 2 GETTING STARTED WITH MINITAB INTRODUCTION TO MINITAB STATISTICAL SOFTWARE Amar
More informationMAT 110 WORKSHOP. Updated Fall 2018
MAT 110 WORKSHOP Updated Fall 2018 UNIT 3: STATISTICS Introduction Choosing a Sample Simple Random Sample: a set of individuals from the population chosen in a way that every individual has an equal chance
More informationSTA Module 2B Organizing Data and Comparing Distributions (Part II)
STA 2023 Module 2B Organizing Data and Comparing Distributions (Part II) Learning Objectives Upon completing this module, you should be able to 1 Explain the purpose of a measure of center 2 Obtain and
More informationSTA Learning Objectives. Learning Objectives (cont.) Module 2B Organizing Data and Comparing Distributions (Part II)
STA 2023 Module 2B Organizing Data and Comparing Distributions (Part II) Learning Objectives Upon completing this module, you should be able to 1 Explain the purpose of a measure of center 2 Obtain and
More informationIT 403 Practice Problems (1-2) Answers
IT 403 Practice Problems (1-2) Answers #1. Using Tukey's Hinges method ('Inclusionary'), what is Q3 for this dataset? 2 3 5 7 11 13 17 a. 7 b. 11 c. 12 d. 15 c (12) #2. How do quartiles and percentiles
More informationMeet MINITAB. Student Release 14. for Windows
Meet MINITAB Student Release 14 for Windows 2003, 2004 by Minitab Inc. All rights reserved. MINITAB and the MINITAB logo are registered trademarks of Minitab Inc. All other marks referenced remain the
More informationChapter 2 Describing, Exploring, and Comparing Data
Slide 1 Chapter 2 Describing, Exploring, and Comparing Data Slide 2 2-1 Overview 2-2 Frequency Distributions 2-3 Visualizing Data 2-4 Measures of Center 2-5 Measures of Variation 2-6 Measures of Relative
More informationChapter 3: Data Description - Part 3. Homework: Exercises 1-21 odd, odd, odd, 107, 109, 118, 119, 120, odd
Chapter 3: Data Description - Part 3 Read: Sections 1 through 5 pp 92-149 Work the following text examples: Section 3.2, 3-1 through 3-17 Section 3.3, 3-22 through 3.28, 3-42 through 3.82 Section 3.4,
More informationLecture 6: Chapter 6 Summary
1 Lecture 6: Chapter 6 Summary Z-score: Is the distance of each data value from the mean in standard deviation Standardizes data values Standardization changes the mean and the standard deviation: o Z
More informationStatistics 528: Minitab Handout 1
Statistics 528: Minitab Handout 1 Throughout the STAT 528-530 sequence, you will be asked to perform numerous statistical calculations with the aid of the Minitab software package. This handout will get
More informationLesson 18-1 Lesson Lesson 18-1 Lesson Lesson 18-2 Lesson 18-2
Topic 18 Set A Words survey data Topic 18 Set A Words Lesson 18-1 Lesson 18-1 sample line plot Lesson 18-1 Lesson 18-1 frequency table bar graph Lesson 18-2 Lesson 18-2 Instead of making 2-sided copies
More informationMinitab on the Math OWL Computers (Windows NT)
STAT 100, Spring 2001 Minitab on the Math OWL Computers (Windows NT) (This is an incomplete revision by Mike Boyle of the Spring 1999 Brief Introduction of Benjamin Kedem) Department of Mathematics, UMCP
More informationStatistics I 2011/2012 Notes about the third Computer Class: Simulation of samples and goodness of fit; Central Limit Theorem; Confidence intervals.
Statistics I 2011/2012 Notes about the third Computer Class: Simulation of samples and goodness of fit; Central Limit Theorem; Confidence intervals. In this Computer Class we are going to use Statgraphics
More informationIntroduction to Minitab 1
Introduction to Minitab 1 We begin by first starting Minitab. You may choose to either 1. click on the Minitab icon in the corner of your screen 2. go to the lower left and hit Start, then from All Programs,
More informationPrepare a stem-and-leaf graph for the following data. In your final display, you should arrange the leaves for each stem in increasing order.
Chapter 2 2.1 Descriptive Statistics A stem-and-leaf graph, also called a stemplot, allows for a nice overview of quantitative data without losing information on individual observations. It can be a good
More informationVocabulary. 5-number summary Rule. Area principle. Bar chart. Boxplot. Categorical data condition. Categorical variable.
5-number summary 68-95-99.7 Rule Area principle Bar chart Bimodal Boxplot Case Categorical data Categorical variable Center Changing center and spread Conditional distribution Context Contingency table
More information1.3 Graphical Summaries of Data
Arkansas Tech University MATH 3513: Applied Statistics I Dr. Marcel B. Finan 1.3 Graphical Summaries of Data In the previous section we discussed numerical summaries of either a sample or a data. In this
More information2010 by Minitab, Inc. All rights reserved. Release Minitab, the Minitab logo, Quality Companion by Minitab and Quality Trainer by Minitab are
2010 by Minitab, Inc. All rights reserved. Release 16.1.0 Minitab, the Minitab logo, Quality Companion by Minitab and Quality Trainer by Minitab are registered trademarks of Minitab, Inc. in the United
More informationChapter 1. Looking at Data-Distribution
Chapter 1. Looking at Data-Distribution Statistics is the scientific discipline that provides methods to draw right conclusions: 1)Collecting the data 2)Describing the data 3)Drawing the conclusions Raw
More information3 Graphical Displays of Data
3 Graphical Displays of Data Reading: SW Chapter 2, Sections 1-6 Summarizing and Displaying Qualitative Data The data below are from a study of thyroid cancer, using NMTR data. The investigators looked
More informationExploratory Data Analysis
Chapter 10 Exploratory Data Analysis Definition of Exploratory Data Analysis (page 410) Definition 12.1. Exploratory data analysis (EDA) is a subfield of applied statistics that is concerned with the investigation
More informationUnivariate Statistics Summary
Further Maths Univariate Statistics Summary Types of Data Data can be classified as categorical or numerical. Categorical data are observations or records that are arranged according to category. For example:
More informationGetting Started with Minitab 18
2017 by Minitab Inc. All rights reserved. Minitab, Quality. Analysis. Results. and the Minitab logo are registered trademarks of Minitab, Inc., in the United States and other countries. Additional trademarks
More informationSTA Rev. F Learning Objectives. Learning Objectives (Cont.) Module 3 Descriptive Measures
STA 2023 Module 3 Descriptive Measures Learning Objectives Upon completing this module, you should be able to: 1. Explain the purpose of a measure of center. 2. Obtain and interpret the mean, median, and
More informationStat 528 (Autumn 2008) Density Curves and the Normal Distribution. Measures of center and spread. Features of the normal distribution
Stat 528 (Autumn 2008) Density Curves and the Normal Distribution Reading: Section 1.3 Density curves An example: GRE scores Measures of center and spread The normal distribution Features of the normal
More informationGetting Started with Minitab 17
2014, 2016 by Minitab Inc. All rights reserved. Minitab, Quality. Analysis. Results. and the Minitab logo are all registered trademarks of Minitab, Inc., in the United States and other countries. See minitab.com/legal/trademarks
More informationTMTH 3360 NOTES ON COMMON GRAPHS AND CHARTS
To Describe Data, consider: Symmetry Skewness TMTH 3360 NOTES ON COMMON GRAPHS AND CHARTS Unimodal or bimodal or uniform Extreme values Range of Values and mid-range Most frequently occurring values In
More informationPractical 2: Using Minitab (not assessed, for practice only!)
Practical 2: Using Minitab (not assessed, for practice only!) Instructions 1. Read through the instructions below for Accessing Minitab. 2. Work through all of the exercises on this handout. If you need
More informationFrequency Distributions
Displaying Data Frequency Distributions After collecting data, the first task for a researcher is to organize and summarize the data so that it is possible to get a general overview of the results. Remember,
More informationStatistical Methods. Instructor: Lingsong Zhang. Any questions, ask me during the office hour, or me, I will answer promptly.
Statistical Methods Instructor: Lingsong Zhang 1 Issues before Class Statistical Methods Lingsong Zhang Office: Math 544 Email: lingsong@purdue.edu Phone: 765-494-7913 Office Hour: Monday 1:00 pm - 2:00
More informationMinitab Guide for MA330
Minitab Guide for MA330 The purpose of this guide is to show you how to use the Minitab statistical software to carry out the statistical procedures discussed in your textbook. The examples usually are
More informationCHAPTER 3: Data Description
CHAPTER 3: Data Description You ve tabulated and made pretty pictures. Now what numbers do you use to summarize your data? Ch3: Data Description Santorico Page 68 You ll find a link on our website to a
More informationMTH 3210: PROBABILITY AND STATISTICS DESCRIPTIVE STATISTICS WORKSHEET
MTH 3210: PROBABILITY AND STATISTICS DESCRIPTIVE STATISTICS WORKSHEET Before you work on the practice problems (Section 3) please make sure that you read the supplementary notes (Section 1) and work through
More informationDensity Curve (p52) Density curve is a curve that - is always on or above the horizontal axis.
1.3 Density curves p50 Some times the overall pattern of a large number of observations is so regular that we can describe it by a smooth curve. It is easier to work with a smooth curve, because the histogram
More informationUnderstanding and Comparing Distributions. Chapter 4
Understanding and Comparing Distributions Chapter 4 Objectives: Boxplot Calculate Outliers Comparing Distributions Timeplot The Big Picture We can answer much more interesting questions about variables
More informationCHAPTER 2: SAMPLING AND DATA
CHAPTER 2: SAMPLING AND DATA This presentation is based on material and graphs from Open Stax and is copyrighted by Open Stax and Georgia Highlands College. OUTLINE 2.1 Stem-and-Leaf Graphs (Stemplots),
More informationMath 227 EXCEL / MEGASTAT Guide
Math 227 EXCEL / MEGASTAT Guide Introduction Introduction: Ch2: Frequency Distributions and Graphs Construct Frequency Distributions and various types of graphs: Histograms, Polygons, Pie Charts, Stem-and-Leaf
More informationSTA 570 Spring Lecture 5 Tuesday, Feb 1
STA 570 Spring 2011 Lecture 5 Tuesday, Feb 1 Descriptive Statistics Summarizing Univariate Data o Standard Deviation, Empirical Rule, IQR o Boxplots Summarizing Bivariate Data o Contingency Tables o Row
More informationApplied Regression Modeling: A Business Approach
i Applied Regression Modeling: A Business Approach Computer software help: SPSS SPSS (originally Statistical Package for the Social Sciences ) is a commercial statistical software package with an easy-to-use
More informationChapter 2. Descriptive Statistics: Organizing, Displaying and Summarizing Data
Chapter 2 Descriptive Statistics: Organizing, Displaying and Summarizing Data Objectives Student should be able to Organize data Tabulate data into frequency/relative frequency tables Display data graphically
More informationTopic (3) SUMMARIZING DATA - TABLES AND GRAPHICS
Topic (3) SUMMARIZING DATA - TABLES AND GRAPHICS 3- Topic (3) SUMMARIZING DATA - TABLES AND GRAPHICS A) Frequency Distributions For Samples Defn: A FREQUENCY DISTRIBUTION is a tabular or graphical display
More informationUsing Large Data Sets Workbook Version A (MEI)
Using Large Data Sets Workbook Version A (MEI) 1 Index Key Skills Page 3 Becoming familiar with the dataset Page 3 Sorting and filtering the dataset Page 4 Producing a table of summary statistics with
More informationUnit 7 Statistics. AFM Mrs. Valentine. 7.1 Samples and Surveys
Unit 7 Statistics AFM Mrs. Valentine 7.1 Samples and Surveys v Obj.: I will understand the different methods of sampling and studying data. I will be able to determine the type used in an example, and
More informationOverview. Frequency Distributions. Chapter 2 Summarizing & Graphing Data. Descriptive Statistics. Inferential Statistics. Frequency Distribution
Chapter 2 Summarizing & Graphing Data Slide 1 Overview Descriptive Statistics Slide 2 A) Overview B) Frequency Distributions C) Visualizing Data summarize or describe the important characteristics of a
More informationQuantitative - One Population
Quantitative - One Population The Quantitative One Population VISA procedures allow the user to perform descriptive and inferential procedures for problems involving one population with quantitative (interval)
More informationStat Day 6 Graphs in Minitab
Stat 150 - Day 6 Graphs in Minitab Example 1: Pursuit of Happiness The General Social Survey (GSS) is a large-scale survey conducted in the U.S. every two years. One of the questions asked concerns how
More informationApplied Regression Modeling: A Business Approach
i Applied Regression Modeling: A Business Approach Computer software help: SAS SAS (originally Statistical Analysis Software ) is a commercial statistical software package based on a powerful programming
More informationMath 120 Introduction to Statistics Mr. Toner s Lecture Notes 3.1 Measures of Central Tendency
Math 1 Introduction to Statistics Mr. Toner s Lecture Notes 3.1 Measures of Central Tendency lowest value + highest value midrange The word average: is very ambiguous and can actually refer to the mean,
More informationName Date Types of Graphs and Creating Graphs Notes
Name Date Types of Graphs and Creating Graphs Notes Graphs are helpful visual representations of data. Different graphs display data in different ways. Some graphs show individual data, but many do not.
More informationMinitab Lab #1 Math 120 Nguyen 1 of 7
Minitab Lab #1 Math 120 Nguyen 1 of 7 Objectives: 1) Retrieve a MiniTab file 2) Generate a list of random integers 3) Draw a bar chart, pie chart, histogram, boxplot, stem-and-leaf diagram 4) Calculate
More informationTable Of Contents. Table Of Contents
Statistics Table Of Contents Table Of Contents Basic Statistics... 7 Basic Statistics Overview... 7 Descriptive Statistics Available for Display or Storage... 8 Display Descriptive Statistics... 9 Store
More informationNo. of blue jelly beans No. of bags
Math 167 Ch5 Review 1 (c) Janice Epstein CHAPTER 5 EXPLORING DATA DISTRIBUTIONS A sample of jelly bean bags is chosen and the number of blue jelly beans in each bag is counted. The results are shown in
More informationSurvey of Math: Excel Spreadsheet Guide (for Excel 2016) Page 1 of 9
Survey of Math: Excel Spreadsheet Guide (for Excel 2016) Page 1 of 9 Contents 1 Introduction to Using Excel Spreadsheets 2 1.1 A Serious Note About Data Security.................................... 2 1.2
More informationCREATING THE DISTRIBUTION ANALYSIS
Chapter 12 Examining Distributions Chapter Table of Contents CREATING THE DISTRIBUTION ANALYSIS...176 BoxPlot...178 Histogram...180 Moments and Quantiles Tables...... 183 ADDING DENSITY ESTIMATES...184
More informationCHAPTER 6. The Normal Probability Distribution
The Normal Probability Distribution CHAPTER 6 The normal probability distribution is the most widely used distribution in statistics as many statistical procedures are built around it. The central limit
More informationWeek 4: Describing data and estimation
Week 4: Describing data and estimation Goals Investigate sampling error; see that larger samples have less sampling error. Visualize confidence intervals. Calculate basic summary statistics using R. Calculate
More informationSTATS PAD USER MANUAL
STATS PAD USER MANUAL For Version 2.0 Manual Version 2.0 1 Table of Contents Basic Navigation! 3 Settings! 7 Entering Data! 7 Sharing Data! 8 Managing Files! 10 Running Tests! 11 Interpreting Output! 11
More informationSTAT:5400 Computing in Statistics
STAT:5400 Computing in Statistics Introduction to SAS Lecture 18 Oct 12, 2015 Kate Cowles 374 SH, 335-0727 kate-cowles@uiowaedu SAS SAS is the statistical software package most commonly used in business,
More informationa. divided by the. 1) Always round!! a) Even if class width comes out to a, go up one.
Probability and Statistics Chapter 2 Notes I Section 2-1 A Steps to Constructing Frequency Distributions 1 Determine number of (may be given to you) a Should be between and classes 2 Find the Range a The
More informationCopyright 2015 by Sean Connolly
1 Copyright 2015 by Sean Connolly All rights reserved. No part of this publication may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other
More informationExercise 1: Introduction to Stata
Exercise 1: Introduction to Stata New Stata Commands use describe summarize stem graph box histogram log on, off exit New Stata Commands Downloading Data from the Web I recommend that you use Internet
More informationBrief Guide on Using SPSS 10.0
Brief Guide on Using SPSS 10.0 (Use student data, 22 cases, studentp.dat in Dr. Chang s Data Directory Page) (Page address: http://www.cis.ysu.edu/~chang/stat/) I. Processing File and Data To open a new
More informationSession One: MINITAB Basics
8 Session One: MINITAB Basics, 8-2 Start MINITAB, 8-3 Open a Worksheet, 8-3 Enter Data from the Keyboard, 8-4 Enter Patterned Data, 8-4 Save Your Project, 8-5 Compute Descriptive Statistics, 8-6 Perform
More informationExercise 1-Solutions TMA4255 Applied Statistics
Exercise 1-Solutions TMA4255 Applied Statistics January 16, 2017 Intro 0.1 Start MINITAB Start MINITAB on your laptop, or remote desktop to cauchy.math.ntnu.no and log in with win-ntnu-no\yourusername
More informationChapter 2: The Normal Distribution
Chapter 2: The Normal Distribution 2.1 Density Curves and the Normal Distributions 2.2 Standard Normal Calculations 1 2 Histogram for Strength of Yarn Bobbins 15.60 16.10 16.60 17.10 17.60 18.10 18.60
More information3 Graphical Displays of Data
3 Graphical Displays of Data Reading: SW Chapter 2, Sections 1-6 Summarizing and Displaying Qualitative Data The data below are from a study of thyroid cancer, using NMTR data. The investigators looked
More information1 Introduction to Using Excel Spreadsheets
Survey of Math: Excel Spreadsheet Guide (for Excel 2007) Page 1 of 6 1 Introduction to Using Excel Spreadsheets This section of the guide is based on the file (a faux grade sheet created for messing with)
More informationQUEEN MARY, UNIVERSITY OF LONDON. Introduction to Statistics
QUEEN MARY, UNIVERSITY OF LONDON MTH 4106 Introduction to Statistics Practical 1 10 January 2012 In this practical you will be introduced to the statistical computing package called Minitab. You will use
More informationChapter 2 - Graphical Summaries of Data
Chapter 2 - Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense
More informationMINITAB BASICS STORING DATA
MINITAB BASICS After starting MINITAB, you ll see a Session window above and a worksheet below. The Session window displays non-graphical output such as tables of statistics and character graphs. A worksheet
More informationAverages and Variation
Averages and Variation 3 Copyright Cengage Learning. All rights reserved. 3.1-1 Section 3.1 Measures of Central Tendency: Mode, Median, and Mean Copyright Cengage Learning. All rights reserved. 3.1-2 Focus
More information8. MINITAB COMMANDS WEEK-BY-WEEK
8. MINITAB COMMANDS WEEK-BY-WEEK In this section of the Study Guide, we give brief information about the Minitab commands that are needed to apply the statistical methods in each week s study. They are
More informationData Management Project Using Software to Carry Out Data Analysis Tasks
Data Management Project Using Software to Carry Out Data Analysis Tasks This activity involves two parts: Part A deals with finding values for: Mean, Median, Mode, Range, Standard Deviation, Max and Min
More informationYou will begin by exploring the locations of the long term care facilities in Massachusetts using descriptive statistics.
Getting Started 1. Create a folder on the desktop and call it your last name. 2. Copy and paste the data you will need to your folder from the folder specified by the instructor. Exercise 1: Explore the
More informationGeneral Guidelines: SAS Analyst
General Guidelines: SAS Analyst The Analyst application is a data analysis tool in SAS for Windows (version 7 and later) that provides easy access to basic statistical analyses using a point-and-click
More informationCHAPTER-13. Mining Class Comparisons: Discrimination between DifferentClasses: 13.4 Class Description: Presentation of Both Characterization and
CHAPTER-13 Mining Class Comparisons: Discrimination between DifferentClasses: 13.1 Introduction 13.2 Class Comparison Methods and Implementation 13.3 Presentation of Class Comparison Descriptions 13.4
More informationAcquisition Description Exploration Examination Understanding what data is collected. Characterizing properties of data.
Summary Statistics Acquisition Description Exploration Examination what data is collected Characterizing properties of data. Exploring the data distribution(s). Identifying data quality problems. Selecting
More information3. Data Analysis and Statistics
3. Data Analysis and Statistics 3.1 Visual Analysis of Data 3.2.1 Basic Statistics Examples 3.2.2 Basic Statistical Theory 3.3 Normal Distributions 3.4 Bivariate Data 3.1 Visual Analysis of Data Visual
More informationSections 4.3 and 4.4
Sections 4.3 and 4.4 Timothy Hanson Department of Statistics, University of South Carolina Stat 205: Elementary Statistics for the Biological and Life Sciences 1 / 32 4.3 Areas under normal densities Every
More informationTable of Contents (As covered from textbook)
Table of Contents (As covered from textbook) Ch 1 Data and Decisions Ch 2 Displaying and Describing Categorical Data Ch 3 Displaying and Describing Quantitative Data Ch 4 Correlation and Linear Regression
More informationCHAPTER 2 DESCRIPTIVE STATISTICS
CHAPTER 2 DESCRIPTIVE STATISTICS 1. Stem-and-Leaf Graphs, Line Graphs, and Bar Graphs The distribution of data is how the data is spread or distributed over the range of the data values. This is one of
More informationGetting to Know Your Data
Chapter 2 Getting to Know Your Data 2.1 Exercises 1. Give three additional commonly used statistical measures (i.e., not illustrated in this chapter) for the characterization of data dispersion, and discuss
More informationMinitab Study Card J ENNIFER L EWIS P RIESTLEY, PH.D.
Minitab Study Card J ENNIFER L EWIS P RIESTLEY, PH.D. Introduction to Minitab The interface for Minitab is very user-friendly, with a spreadsheet orientation. When you first launch Minitab, you will see
More informationPart I, Chapters 4 & 5. Data Tables and Data Analysis Statistics and Figures
Part I, Chapters 4 & 5 Data Tables and Data Analysis Statistics and Figures Descriptive Statistics 1 Are data points clumped? (order variable / exp. variable) Concentrated around one value? Concentrated
More informationContinuous Improvement Toolkit. Normal Distribution. Continuous Improvement Toolkit.
Continuous Improvement Toolkit Normal Distribution The Continuous Improvement Map Managing Risk FMEA Understanding Performance** Check Sheets Data Collection PDPC RAID Log* Risk Analysis* Benchmarking***
More informationBasic Statistical Terms and Definitions
I. Basics Basic Statistical Terms and Definitions Statistics is a collection of methods for planning experiments, and obtaining data. The data is then organized and summarized so that professionals can
More informationUsing Excel, Chapter 2: Descriptive Statistics
1 Using Excel, Chapter 2: Descriptive Statistics Individual Descriptive Statistics using Excel Functions 2 A Summary of Descriptive Statistics Using the Analysis ToolPak (Windows Users) 3 A Summary of
More information