Changes to UK NEQAS Leucocyte Immunophenotyping Chimerism Performance Monitoring Systems From April Uncontrolled Copy

Size: px
Start display at page:

Download "Changes to UK NEQAS Leucocyte Immunophenotyping Chimerism Performance Monitoring Systems From April 2014. Uncontrolled Copy"

Transcription

1 Changes to UK NEQAS Leucocyte Immunophenotyping Chimerism Performance Monitoring Systems From April 2014

2 Contents 1. The need for change 2. Current systems 3. Proposed z-score system 4. Comparison of z-score analysis and original trial analysis 5. Supplementary data 2

3 1. The need for change UK NEQAS for Leucocyte Immunophenotyping (UKNEQAS LI) currently operates 19 different External Quality Assessment (EQA) programmes covering various aspects of flow cytometry and molecular haematooncology. To examine laboratory performance there are 10 different performance monitoring systems in use by this centre, each based on different analytes, statistical methodologies and with different criteria to classify unsatisfactory performance. Percentage donor chimerism results returned by UKNEQAS LI participants produce a tight data set with a number of gross outliers representing erroneously reported % recipient results and can be skewed by 100% or 0% donor chimerism results representing participants whose assays do not have the required sensitivity to detect small proportions of recipient or donor cells respectively. This unusual distribution of data has lead to a number of iterations of the chimerism performance monitoring systems as traditional statistical methods for identifying outliers have proved too stringent (>15% of participants being identified as outliers) or too lenient (deviations from the consensus median of >10% not being identified as an outliers) Another drawback of the current chimerism performance monitoring system is that is inherently competitive. The nature of a centiles based approach means that it will always produce outliers regardless of the variance of the data set. For the reasons outlined above, UKNEQAS LI have identified the need for a new, more robust, simple chimerism performance monitoring system. 3

4 2. Current Chimerism scoring system One or two post stem cell transplantation (SCT) samples are issued at each trial with varying levels of donor engraftment chimerism. There are three trials per annum. Chimerism is measured using molecular techniques and is a quantitative response expressed as a percentage of the engraftment (maximum 100% engraftment), which allows for the serial monitoring of patients post transplant. The scoring system is a quantitative approach for which participants are asked to produce a percentage engraftment using their normal laboratory technique. From the data submitted the scoring system is applied in 3 parts. Part 1: Results of 100% and 0% will be removed from the data set as a failure to detect either donor or recipient DNA in a sample for which the consensus shows that this DNA was present. This will be deemed unsatisfactory performance and the participant will be awarded an amber performance status. Part 2: Uses the formula; median +/-(Q3-Q1 x 1.5) to give the upper and lower adjacent points. This allows for the data set to be trimmed so outliers do not skew the data set, resulting in inappropriate scoring criteria. When part 2 is performed, participants with results that fall outside of the upper or lower adjacent points will be given an amber performance status. Part 3: Using the consensus median from the remaining data, the 2.5th and 97.5th centile will be calculated. Participants with results that fall outside of the 2.5 th and 97.5th centile will be given an amber performance status. Initially all three parts of the scoring system will be applied. If too many participants are awarded amber performance (e.g. greater that 15% of returned results) then the scoring system will be reapplied to the data set omitting part two. 4

5 Additionally, where two post SCT samples are issued and a participant fails to identify the correct trend (e.g. one sample being lower than the other), and where the first and third quartiles of the two samples do not overlap, that participant will be given an amber performance status. 3. Proposed z-score analysis One or two samples are issued each trial. A participant's submitted % donor chimerism result for each sample is then used in conjunction with the robust mean and robust standard deviation to calculate a z score using the following formula: where x is the result returned by the testing laboratory, X is the assigned value (robust mean) and is the standard deviation for proficiency assessment (robust SD). The robust mean and robust SD are derived from participant data using Algorithm A (ISO ) that ensures that all data is included in the generation of the robust mean and robust SD but also minimizes the effect of outliers upon the final values. Interpretation of z-scores is as follows: A result between 2.0 and -2.0 would be classed as satisfactory A result between 3.0 and 2.0 or -2.0 and -3.0 is seen as an 'action result, that highlights a potential issue to the laboratory. Two action results in a period of 3 samples would result in classification as a critical A result above 3.0 or below -3.0 is considered to be a critical result requiring immediate investigation by the laboratory 5

6 Due to the nature of how z-scores are generated a positive z-score highlights a positive bias in a laboratory s results whereas a negative z- score shows a negative bias. As such, this adds value to the performance monitoring information provided to laboratories because the z-score immediately highlights to the participating centre if their result is above or below the expected consensus value. In addition to the z-score all methodological data featured on reports will be in the format of robust mean and robust SD. This will give participants the option to use the extra provided data to calculate additional in-house z-scores based on machine types, methodologies etc and allow them to monitor if there are any in-house technical biases. However, it is important to stress that the z-score issued by UK NEQAS for Leucocyte Immunophenotyping based on all methods will remain the only parameter that is used for performance monitoring. Any laboratory who fails to return a result by the closing date will be regarded as an action for each sample. As such any laboratories that do not return results for both samples within a trial will be classified as critical. Unsatisfactory performance in this programme is defined as any occurrence of critical performance and this will be initially communicated to participants on their trial report. This will be followed up with a letter on each occurrence of unsatisfactory performance highlighting that performance on the last sample(s) was out of consensus and offering support and guidance to assist in returning to satisfactory performance. This may take the form of repeat/additional samples, communications by , telephone conversations or face to face communications. If a participant s status is elevated to persistent unsatisfactory performance (defined as a critical classification on 3 or more occasions within a 12 month period) then a further letter will be issued and the Haematology National Quality Assurance Advisory Panel informed (for UK participants only). 6

7 4. Comparison of z-score analysis and original trial analysis In order to assess the performance of z-scores on the UKNEQAS LI chimerism data set we compared it to the current methodology for identifying outliers (median and centiles). We assessed retrospectively 3 data sets across one calendar year as this reflects the period over which we assess persistent unsatisfactory performance. We also assessed the effect of the number of d.p. to which % chimerism is reported and simulated several data sets to look at the effect of skewing of the data which may occur within chimerism data sets around the limits chimerism detection by STR analysis (100% donor or 100% recipient). When the general performance of z-score based scoring method is compared to a centiles based method it can immediately be seen that the identification of outliers is much more reproducible between samples. Using z-scores a critical deviation from the consensus robust mean (>3 s.d.) showed a range of between 4.14%-5.37% across 6 samples compared to a range of 2.3%-56.5% using the centiles based approach (see tables 2, 3 and 4). The inherent nature of a centiles based approach means that it will detect a consistent number of outliers regardless of the variance of the data set. Z-scores, however, will increase and decrease the outliers identified based on the relative variance of the data and will not produce any outliers when the dataset shows little variance. As such the z-score boundaries imposed are a reflection of the variation and limitations of the analytical techniques used. Currently UKNEQAS LI allows participants to return % donor chimerism results to as many decimal places (d.p.) as they would report them clinically. We consistently see a range of % donor chimersim results returned to us from integers to results to 3 d.p. UKNEQAS LI s specialist 7

8 advisory group has advised that the reporting of chimerism data to 1 d.p. is not clinically relevant, as it infers a precision that is unwarranted in what is, at best, a semi quantitative assay. When assessing z-scores participant returns were analysed raw (as provided to us by participants) and converted to integers to assess the potential impact on scoring. The impact we observed was negligible with a range of adjustments (with no positive or negative bias) to the critical deviation from the mean between 0.03% and 1.29% with an average of <1% (see tables 2, 3 and 4). This led to between 0 and 3 participants falling into different scoring categories per sample. As such, we recommend that participant results are processed as integers in order to drive best practise within the profession. The impact of calculating the robust mean and robust SD as integers or to 1 d.p. or 2 d.p. was also assessed. Calculating the robust mean and SD as integers produced a critical deviation from the mean in our data set with the smallest SD of only +/- 3% which we propose is not a clinically relevant deviation. Calculating to 1 d.p. ( +/- 4.2%-5.4%) and 2 d.p. ( +/- 4.14%-5.37%) provided more clinically relevant critical deviations from the robust mean and as calculating to 2 d.p. provided little extra discrimination we propose calculating the robust means and SD to 1 d.p. Whilst we acknowledge that only allowing participants to report an integer and calculating a s.d. to 1 d.p. seems inconsistent this is necessary as it provides an extra degree of discrimination allowing for the clinically relevant identification of outliers. Finally the impact of the skewing of the data sets was assessed. As post SCT samples approach 100% donor or 100% recipient UKNEQAS LI see an increase in participants returning results as 100% or 0% donor chimerism due to insufficient sensitivity within their assay. We simulated a number of data sets to assess the effect of this potential positive and a negative skew on our data. The z-scores proved robust with minimal adjustment to the critical deviation from the mean, and the scoring of virtually all participants remaining unchanged (see tables 2-4). 8

9 Following analysis of a range of different data sets, both real and mocked, we conclude that the z-scored based method for performance monitoring of the chimerism programme is a more robust, consistent and simple method of identifying clinically relevant outliers. 9

10 5. Supplementary Data Table 1: Summary of current median and centiles based approach Trial Chim Chim (Trimmed Data) Chim Sample Median th centile th centile Acceptable +ve deviation from the median Acceptable -ve deviation from the median Ambers

11 Table 2: Summary of z-score data for chimerism trial Sample Sample 128 Sample 129 Robust Mean Robust SD Raw Data Integers 0% Skew 100% Skew Raw Data Integers 0% Skew 100% Skew Action Critical Action Window Critical Window >+/-3.82 >+/-3.50 >+/-3.58 >+/-3.62 >+/-4.44 >+/-3.58 >+/-5.08 >+/-5.22 >+/-5.73 >+/-5.25 >+/-5.37 >+/-5.43 >+/-6.66 >+/-5.37 >+/-7.62 >+/-7.83 Table 3: Summary of z-score data for chimerism trial Sample Sample 132 Sample 133 Robust Mean Robust SD Raw Data Integers 0% Skew 100% Skew Raw Data Integers 0% Skew 100% Skew Action Critical Action Window Critical Window >+/ >+/ >+/ >+/ >+/ >+/ >+/ >+/ >+/-4.77 >+/-4.74 >+/-4.86 >+/-4.98 >+/-4.71 >+/-4.68 >+/-4.92 >+/

12 Table 4: Summary of z-score data for chimerism trial Sample Sample 136 Sample 137 Robust Mean Robust SD Raw Data Integers 0% Skew 100% Skew Raw Data Integers 0% Skew 100% Skew Action Critical Action Window Critical Window >+/-2.74 >+/-2.80 >+/-2.86 >+/-3.14 >+/-2.46 >+/-2.76 >+/-3.14 >+/-2.82 >+/-4.11 >+/-4.20 >+/-4.29 >+/-4.71 >+/-3.69 >+/-4.14 >+/-4.71 >+/

13 Table 5: Discordant outlier data Chim Sample 128 (robust mean = 85.96%) Participant ID % reported original Status z-score z-score status 1 82 Amber Action Amber 2.84 Action Green 2.26 Action Amber Action 13

14 Original Analysis Amber Green Amber Figure 1: original scoring versus z scores for all participants for sample 128 Chim Original Data Analysis 2.5 and 97.5th percentile Chim Sample 128 Participant Number Z score Data Analysis Critical Critical Action Satisfactory Action Z Score analysis 14

15 Table 6: Discordant outlier data Chim Sample 129 (robust mean = 69.19%) Participant ID % reported original Status z-score z-score status 1 74 Green 2.14 Action Green 2.68 Action Amber 2.90 Action 4 74 Green 2.14 Action Amber Action 6 74 Green 2.14 Action Amber Action 15

16 Original Analysis Amber Green Amber Figure 2: original scoring versus z scores for all participants for sample Chim Chim Sample Original Data Analysis 2.5 and 97.5th percentile Participant Number Z score Data Analysis Critical Satisfactory Action Critical Action Z Score analysis 16

17 Table 7: Discordant outlier data Chim Sample 132 (robust mean = 88.95%) Participant ID % reported original Status z-score z-score status Amber Satisfactory 2 85 Amber Action 3 84 Amber Action 4 85 Amber Action 5 92 Amber Action Amber Satisfactory 17

18 Original Analysis Amber Green Amber 100 Figure 3: original scoring versus z scores for all participants for sample Chim Original Data Analysis 2.5 and 97.5th percentile Chim Sample 132 Participant Number Z score Data Analysis 4 2 Critical Action 0 Satisfactory -2 Action Critical Z Score analysis 18

19 Table 8: Discordant outlier data Chim Sample 133 (robust mean = 10.00%) Participant ID % reported original Status z-score z-score status 1 13 Amber 1.79 Satisfactory Amber 2.26 Action 3 7 Amber Action Amber Satisfactory Amber Satisfactory Amber 2.93 Action Amber 1.34 Satisfactory Amber 1.36 Satisfactory Amber 1.91 Satisfactory 19

20 Original Analysis Figure 4: original scoring versus z scores for all participants for sample Chim Original Data Analysis 2.5 and 97.5th percentile Chim Sample 133 Participant Number Z score Data Analysis Z Score analysis 20

21 Table 9: Discordant outlier data Chim Sample 136 (robust mean = 85.60%) Participant ID % reported original Status z-score z-score status 1 75 Green Critical Green Critical Green 2.85 Action 21

22 Original Analysis Figure 5: original scoring versus z scores for all participants for sample Chim Original Data Analysis 2.5 and 97.5th percentile Chim Sample 136 Participant Number Z score Data Analysis Z Score analysis 22

23 Table 10: Discordant outlier data Chim Sample 137 (robust mean = 85.30%) Participant ID % reported original Status z-score z-score status Green Action 2 88 Green 2.13 Action 3 70 Green Critical Green Critical Green Critical 6 79 Green Critical 23

24 Original Analysis 100 Figure 6: original scoring versus z scores for all participants for sample Chim Original Data Analysis 2.5 and 97.5th percentile Chim Sample 137 Participant Number Z score Data Analysis Z Score analysis 24

25 25

BEIPH Final Report. QCMD 2010 Hepatitis B Virus DNA (HBVDNA10A) EQA Programme. William G MacKay on behalf of QCMD and its Scientific Council July 2010

BEIPH Final Report. QCMD 2010 Hepatitis B Virus DNA (HBVDNA10A) EQA Programme. William G MacKay on behalf of QCMD and its Scientific Council July 2010 QUALITY CONTROL for MOLECULAR DIAGNOSTICS The Altum Building, Todd Campus, West of Scotland Science Park, Glasgow, G20 0XA Scotland Tel: +44 (0) 141 945 6474 Fax: +44 (0) 141 945 5795 www.qcmd.org info@qcmd.org

More information

Magruder Statistics & Data Analysis

Magruder Statistics & Data Analysis Magruder Statistics & Data Analysis Caution: There will be Equations! Based Closely On: Program Model The International Harmonized Protocol for the Proficiency Testing of Analytical Laboratories, 2006

More information

American Association for Laboratory Accreditation

American Association for Laboratory Accreditation Page 1 of 12 The examples provided are intended to demonstrate ways to implement the A2LA policies for the estimation of measurement uncertainty for methods that use counting for determining the number

More information

for Leucocyte Immunophenotyping Leukaemia Diagnosis Interpretation All Participants Date Issued: 08-September-2014 Closing Date: 26-September-2014

for Leucocyte Immunophenotyping Leukaemia Diagnosis Interpretation All Participants Date Issued: 08-September-2014 Closing Date: 26-September-2014 for Leucocyte Immunophenotyping Leukaemia Interpretation All Participants Participant: 4xxxx Trial No: 141502 Date Issued: 08-September-2014 Closing Date: 26-September-2014 Trial Comments This was an electronic

More information

2. Filling Data Gaps, Data validation & Descriptive Statistics

2. Filling Data Gaps, Data validation & Descriptive Statistics 2. Filling Data Gaps, Data validation & Descriptive Statistics Dr. Prasad Modak Background Data collected from field may suffer from these problems Data may contain gaps ( = no readings during this period)

More information

3.2 Measures of Spread

3.2 Measures of Spread 3.2 Measures of Spread In some data sets the observations are close together, while in others they are more spread out. In addition to measures of the center, it's often important to measure the spread

More information

FEDERAL PUBLIC SERVICE, HEALTH, FOOD CHAIN SECURITY AND ENVIRONMENT CLINICAL BIOLOGY COMMISSION CLINICAL BIOLOGY SECTION

FEDERAL PUBLIC SERVICE, HEALTH, FOOD CHAIN SECURITY AND ENVIRONMENT CLINICAL BIOLOGY COMMISSION CLINICAL BIOLOGY SECTION IPH J. Wytsmanstreet 14 B-1050 Brussels FEDERAL PUBLIC SERVICE, HEALTH, FOOD CHAIN SECURITY AND ENVIRONMENT CLINICAL BIOLOGY COMMISSION CLINICAL BIOLOGY SECTION External Quality Assessment for Molecular

More information

Descriptive statistics Statistical inference statistical inference, statistical induction and inferential statistics

Descriptive statistics Statistical inference statistical inference, statistical induction and inferential statistics Descriptive statistics is the discipline of quantitatively describing the main features of a collection of data. Descriptive statistics are distinguished from inferential statistics (or inductive statistics),

More information

Chapter 3. The Normal Distribution

Chapter 3. The Normal Distribution Chapter 3. The Normal Distribution Topics covered in this chapter: Z-scores Normal Probabilities Normal Percentiles Z-scores Example 3.6: The standard normal table The Problem: What proportion of observations

More information

Descriptive Statistics

Descriptive Statistics Y520 Robert S Michael Goal: Learn to calculate indicators and construct graphs that summarize and describe a large quantity of values. Using the textbook readings and other resources listed on the web

More information

Statistics I for QBIC. Contents and Objectives. Chapters 1 7. Revised: August 2013

Statistics I for QBIC. Contents and Objectives. Chapters 1 7. Revised: August 2013 Statistics I for QBIC Text Book: Biostatistics, 10 th edition, by Daniel & Cross Contents and Objectives Chapters 1 7 Revised: August 2013 Chapter 1: Nature of Statistics (sections 1.1-1.6) Objectives

More information

consider the number of math classes taken by math 150 students. how can we represent the results in one number?

consider the number of math classes taken by math 150 students. how can we represent the results in one number? ch 3: numerically summarizing data - center, spread, shape 3.1 measure of central tendency or, give me one number that represents all the data consider the number of math classes taken by math 150 students.

More information

Mean = (sum of the values / the number of the value) if probabilities are equal

Mean = (sum of the values / the number of the value) if probabilities are equal Population Mean Mean = (sum of the values / the number of the value) if probabilities are equal Compute the population mean Population/Sample mean: 1. Collect the data 2. sum all the values in the population/sample.

More information

How Far is too Far? Statistical Outlier Detection

How Far is too Far? Statistical Outlier Detection How Far is too Far? Statistical Outlier Detection Steven Walfish President, Statistical Outsourcing Services steven@statisticaloutsourcingservices.com 30-325-329 Outline What is an Outlier, and Why are

More information

Topic 9 ~ Measures of Spread

Topic 9 ~ Measures of Spread AP Statistics Topic 9 ~ Measures of Spread Activity 9 : Baseball Lineups The table to the right contains data on the ages of the two teams involved in game of the 200 National League Division Series. Is

More information

Energy Use in Homes. A series of reports on domestic energy use in England. Fuel Consumption

Energy Use in Homes. A series of reports on domestic energy use in England. Fuel Consumption Energy Use in Homes A series of reports on domestic energy use in England Fuel Consumption Energy Use in Homes A series of reports on domestic energy use in England Fuel Consumption This is one of a series

More information

HISTOCOMPATIBILITY. and IMMUNOGENETICS. Prospectus

HISTOCOMPATIBILITY. and IMMUNOGENETICS. Prospectus HISTOCOMPATIBILITY and IMMUNOGENETICS Prospectus 2014 CONTENTS Page 1. Distribution Timetable 2 2. Confidentiality 2 3. Participation 2 3.1 Registration 2 3.2 Service s Expectations 2 3.3 Guidance on Participation

More information

How To Check For Differences In The One Way Anova

How To Check For Differences In The One Way Anova MINITAB ASSISTANT WHITE PAPER This paper explains the research conducted by Minitab statisticians to develop the methods and data checks used in the Assistant in Minitab 17 Statistical Software. One-Way

More information

A Review of Statistical Outlier Methods

A Review of Statistical Outlier Methods Page 1 of 5 A Review of Statistical Outlier Methods Nov 2, 2006 By: Steven Walfish Pharmaceutical Technology Statistical outlier detection has become a popular topic as a result of the US Food and Drug

More information

Normal and Binomial. Distributions

Normal and Binomial. Distributions Normal and Binomial Distributions Library, Teaching and Learning 14 By now, you know about averages means in particular and are familiar with words like data, standard deviation, variance, probability,

More information

Exploratory Data Analysis

Exploratory Data Analysis Exploratory Data Analysis Johannes Schauer johannes.schauer@tugraz.at Institute of Statistics Graz University of Technology Steyrergasse 17/IV, 8010 Graz www.statistics.tugraz.at February 12, 2008 Introduction

More information

LAQM Helpdesk March 2015

LAQM Helpdesk March 2015 Summary of Laboratory Performance in AIR/WASP NO 2 Proficiency Testing Scheme (April February 2015). Reports are prepared by HSL for BV/NPL on behalf of Defra and the Devolved Administrations. Background

More information

APPENDIX N. Data Validation Using Data Descriptors

APPENDIX N. Data Validation Using Data Descriptors APPENDIX N Data Validation Using Data Descriptors Data validation is often defined by six data descriptors: 1) reports to decision maker 2) documentation 3) data sources 4) analytical method and detection

More information

BNG 202 Biomechanics Lab. Descriptive statistics and probability distributions I

BNG 202 Biomechanics Lab. Descriptive statistics and probability distributions I BNG 202 Biomechanics Lab Descriptive statistics and probability distributions I Overview The overall goal of this short course in statistics is to provide an introduction to descriptive and inferential

More information

Exercise 1.12 (Pg. 22-23)

Exercise 1.12 (Pg. 22-23) Individuals: The objects that are described by a set of data. They may be people, animals, things, etc. (Also referred to as Cases or Records) Variables: The characteristics recorded about each individual.

More information

Standard Deviation Estimator

Standard Deviation Estimator CSS.com Chapter 905 Standard Deviation Estimator Introduction Even though it is not of primary interest, an estimate of the standard deviation (SD) is needed when calculating the power or sample size of

More information

Validation of measurement procedures

Validation of measurement procedures Validation of measurement procedures R. Haeckel and I.Püntmann Zentralkrankenhaus Bremen The new ISO standard 15189 which has already been accepted by most nations will soon become the basis for accreditation

More information

Lecture 2: Descriptive Statistics and Exploratory Data Analysis

Lecture 2: Descriptive Statistics and Exploratory Data Analysis Lecture 2: Descriptive Statistics and Exploratory Data Analysis Further Thoughts on Experimental Design 16 Individuals (8 each from two populations) with replicates Pop 1 Pop 2 Randomly sample 4 individuals

More information

Exploratory data analysis (Chapter 2) Fall 2011

Exploratory data analysis (Chapter 2) Fall 2011 Exploratory data analysis (Chapter 2) Fall 2011 Data Examples Example 1: Survey Data 1 Data collected from a Stat 371 class in Fall 2005 2 They answered questions about their: gender, major, year in school,

More information

Regulations for the degree of Doctor of Medicine (M.D.)

Regulations for the degree of Doctor of Medicine (M.D.) Hull York Medical School Regulations for the degree of Doctor of Medicine (M.D.) Approval Process: Committee Postgraduate Research Board Outcome/Date of approval HYMS Quality Committee HYMS Board of Studies

More information

Descriptive Statistics

Descriptive Statistics Descriptive Statistics Suppose following data have been collected (heights of 99 five-year-old boys) 117.9 11.2 112.9 115.9 18. 14.6 17.1 117.9 111.8 16.3 111. 1.4 112.1 19.2 11. 15.4 99.4 11.1 13.3 16.9

More information

Introduction to Environmental Statistics. The Big Picture. Populations and Samples. Sample Data. Examples of sample data

Introduction to Environmental Statistics. The Big Picture. Populations and Samples. Sample Data. Examples of sample data A Few Sources for Data Examples Used Introduction to Environmental Statistics Professor Jessica Utts University of California, Irvine jutts@uci.edu 1. Statistical Methods in Water Resources by D.R. Helsel

More information

1. PURPOSE To provide a written procedure for laboratory proficiency testing requirements and reporting.

1. PURPOSE To provide a written procedure for laboratory proficiency testing requirements and reporting. Document #: FDPD-QMS.024.003 Page 1 of 12 Table of Contents 1. Purpose 2. Scope 3. Responsibility 4. References 5. Related Documents 6. Definitions 7. Safety 8. Equipment/Materials Needed 9. Process Description

More information

Week 1. Exploratory Data Analysis

Week 1. Exploratory Data Analysis Week 1 Exploratory Data Analysis Practicalities This course ST903 has students from both the MSc in Financial Mathematics and the MSc in Statistics. Two lectures and one seminar/tutorial per week. Exam

More information

Applying Statistics Recommended by Regulatory Documents

Applying Statistics Recommended by Regulatory Documents Applying Statistics Recommended by Regulatory Documents Steven Walfish President, Statistical Outsourcing Services steven@statisticaloutsourcingservices.com 301-325 325-31293129 About the Speaker Mr. Steven

More information

3: Summary Statistics

3: Summary Statistics 3: Summary Statistics Notation Let s start by introducing some notation. Consider the following small data set: 4 5 30 50 8 7 4 5 The symbol n represents the sample size (n = 0). The capital letter X denotes

More information

Variables. Exploratory Data Analysis

Variables. Exploratory Data Analysis Exploratory Data Analysis Exploratory Data Analysis involves both graphical displays of data and numerical summaries of data. A common situation is for a data set to be represented as a matrix. There is

More information

Variables Control Charts

Variables Control Charts MINITAB ASSISTANT WHITE PAPER This paper explains the research conducted by Minitab statisticians to develop the methods and data checks used in the Assistant in Minitab 17 Statistical Software. Variables

More information

Biostatistics: DESCRIPTIVE STATISTICS: 2, VARIABILITY

Biostatistics: DESCRIPTIVE STATISTICS: 2, VARIABILITY Biostatistics: DESCRIPTIVE STATISTICS: 2, VARIABILITY 1. Introduction Besides arriving at an appropriate expression of an average or consensus value for observations of a population, it is important to

More information

BASIC STATISTICAL METHODS FOR GENOMIC DATA ANALYSIS

BASIC STATISTICAL METHODS FOR GENOMIC DATA ANALYSIS BASIC STATISTICAL METHODS FOR GENOMIC DATA ANALYSIS SEEMA JAGGI Indian Agricultural Statistics Research Institute Library Avenue, New Delhi-110 012 seema@iasri.res.in Genomics A genome is an organism s

More information

DESCRIPTIVE STATISTICS. The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses.

DESCRIPTIVE STATISTICS. The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses. DESCRIPTIVE STATISTICS The purpose of statistics is to condense raw data to make it easier to answer specific questions; test hypotheses. DESCRIPTIVE VS. INFERENTIAL STATISTICS Descriptive To organize,

More information

1 Descriptive statistics: mode, mean and median

1 Descriptive statistics: mode, mean and median 1 Descriptive statistics: mode, mean and median Statistics and Linguistic Applications Hale February 5, 2008 It s hard to understand data if you have to look at it all. Descriptive statistics are things

More information

DECISION LIMITS FOR THE CONFIRMATORY QUANTIFICATION OF THRESHOLD SUBSTANCES

DECISION LIMITS FOR THE CONFIRMATORY QUANTIFICATION OF THRESHOLD SUBSTANCES DECISION LIMITS FOR THE CONFIRMATORY QUANTIFICATION OF THRESHOLD SUBSTANCES Introduction This Technical Document shall be applied to the quantitative determination of a Threshold Substance in a Sample

More information

Introduction to Statistics for Psychology. Quantitative Methods for Human Sciences

Introduction to Statistics for Psychology. Quantitative Methods for Human Sciences Introduction to Statistics for Psychology and Quantitative Methods for Human Sciences Jonathan Marchini Course Information There is website devoted to the course at http://www.stats.ox.ac.uk/ marchini/phs.html

More information

Information Systems Engineering. Four-Year MEng. Scheme for the award of honours. (Effective for ALL years from 2009 onwards)

Information Systems Engineering. Four-Year MEng. Scheme for the award of honours. (Effective for ALL years from 2009 onwards) Information Systems Engineering Four-Year MEng Scheme for the award of honours (Effective for ALL years from 2009 onwards) GH56 MEng Information Systems Engineering (Rev 1.1) 1/9 General Information This

More information

STATS8: Introduction to Biostatistics. Data Exploration. Babak Shahbaba Department of Statistics, UCI

STATS8: Introduction to Biostatistics. Data Exploration. Babak Shahbaba Department of Statistics, UCI STATS8: Introduction to Biostatistics Data Exploration Babak Shahbaba Department of Statistics, UCI Introduction After clearly defining the scientific problem, selecting a set of representative members

More information

Statistics 2014 Scoring Guidelines

Statistics 2014 Scoring Guidelines AP Statistics 2014 Scoring Guidelines College Board, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks of the College Board. AP Central is the official online home

More information

EXAM #1 (Example) Instructor: Ela Jackiewicz. Relax and good luck!

EXAM #1 (Example) Instructor: Ela Jackiewicz. Relax and good luck! STP 231 EXAM #1 (Example) Instructor: Ela Jackiewicz Honor Statement: I have neither given nor received information regarding this exam, and I will not do so until all exams have been graded and returned.

More information

NATIONAL GENETICS REFERENCE LABORATORY (Manchester)

NATIONAL GENETICS REFERENCE LABORATORY (Manchester) NATIONAL GENETICS REFERENCE LABORATORY (Manchester) MLPA analysis spreadsheets User Guide (updated October 2006) INTRODUCTION These spreadsheets are designed to assist with MLPA analysis using the kits

More information

ESTIMATING COMPLETION RATES FROM SMALL SAMPLES USING BINOMIAL CONFIDENCE INTERVALS: COMPARISONS AND RECOMMENDATIONS

ESTIMATING COMPLETION RATES FROM SMALL SAMPLES USING BINOMIAL CONFIDENCE INTERVALS: COMPARISONS AND RECOMMENDATIONS PROCEEDINGS of the HUMAN FACTORS AND ERGONOMICS SOCIETY 49th ANNUAL MEETING 200 2 ESTIMATING COMPLETION RATES FROM SMALL SAMPLES USING BINOMIAL CONFIDENCE INTERVALS: COMPARISONS AND RECOMMENDATIONS Jeff

More information

GN47: Stochastic Modelling of Economic Risks in Life Insurance

GN47: Stochastic Modelling of Economic Risks in Life Insurance GN47: Stochastic Modelling of Economic Risks in Life Insurance Classification Recommended Practice MEMBERS ARE REMINDED THAT THEY MUST ALWAYS COMPLY WITH THE PROFESSIONAL CONDUCT STANDARDS (PCS) AND THAT

More information

Test Reliability Indicates More than Just Consistency

Test Reliability Indicates More than Just Consistency Assessment Brief 015.03 Test Indicates More than Just Consistency by Dr. Timothy Vansickle April 015 Introduction is the extent to which an experiment, test, or measuring procedure yields the same results

More information

Statistical Analysis of. Manual Therapists Funded by ACC:

Statistical Analysis of. Manual Therapists Funded by ACC: Statistical Analysis of Manual Therapists Funded by ACC: Market Analysis by Provider and Injury Type with Trend Analysis Prepared for Osteopathic Council of NZ by: Dr Carl Scarrott FINAL REPORT statconsultancy.com

More information

Deep profiling of multitube flow cytometry data Supplemental information

Deep profiling of multitube flow cytometry data Supplemental information Deep profiling of multitube flow cytometry data Supplemental information Kieran O Neill et al December 19, 2014 1 Table S1: Markers in simulated multitube data. The data was split into three tubes, each

More information

z-scores AND THE NORMAL CURVE MODEL

z-scores AND THE NORMAL CURVE MODEL z-scores AND THE NORMAL CURVE MODEL 1 Understanding z-scores 2 z-scores A z-score is a location on the distribution. A z- score also automatically communicates the raw score s distance from the mean A

More information

Results from the 2014 AP Statistics Exam. Jessica Utts, University of California, Irvine Chief Reader, AP Statistics jutts@uci.edu

Results from the 2014 AP Statistics Exam. Jessica Utts, University of California, Irvine Chief Reader, AP Statistics jutts@uci.edu Results from the 2014 AP Statistics Exam Jessica Utts, University of California, Irvine Chief Reader, AP Statistics jutts@uci.edu The six free-response questions Question #1: Extracurricular activities

More information

Total Cost of Care and Resource Use Frequently Asked Questions (FAQ)

Total Cost of Care and Resource Use Frequently Asked Questions (FAQ) Total Cost of Care and Resource Use Frequently Asked Questions (FAQ) Contact Email: TCOCMeasurement@HealthPartners.com for questions. Contents Attribution Benchmarks Billed vs. Paid Licensing Missing Data

More information

Business Statistics. Successful completion of Introductory and/or Intermediate Algebra courses is recommended before taking Business Statistics.

Business Statistics. Successful completion of Introductory and/or Intermediate Algebra courses is recommended before taking Business Statistics. Business Course Text Bowerman, Bruce L., Richard T. O'Connell, J. B. Orris, and Dawn C. Porter. Essentials of Business, 2nd edition, McGraw-Hill/Irwin, 2008, ISBN: 978-0-07-331988-9. Required Computing

More information

STAT355 - Probability & Statistics

STAT355 - Probability & Statistics STAT355 - Probability & Statistics Instructor: Kofi Placid Adragni Fall 2011 Chap 1 - Overview and Descriptive Statistics 1.1 Populations, Samples, and Processes 1.2 Pictorial and Tabular Methods in Descriptive

More information

Knowledge Discovery and Data Mining. Bootstrap review. Bagging Important Concepts. Notes. Lecture 19 - Bagging. Tom Kelsey. Notes

Knowledge Discovery and Data Mining. Bootstrap review. Bagging Important Concepts. Notes. Lecture 19 - Bagging. Tom Kelsey. Notes Knowledge Discovery and Data Mining Lecture 19 - Bagging Tom Kelsey School of Computer Science University of St Andrews http://tom.host.cs.st-andrews.ac.uk twk@st-andrews.ac.uk Tom Kelsey ID5059-19-B &

More information

Assignment #03: Time Management with Excel

Assignment #03: Time Management with Excel Technical Module I Demonstrator: Dereatha Cross dac4303@ksu.edu Assignment #03: Time Management with Excel Introduction Success in any endeavor depends upon time management. One of the optional exercises

More information

Calculation of Alert Levels for Assessing Collection Center Donor Quality for PMF Evaluation

Calculation of Alert Levels for Assessing Collection Center Donor Quality for PMF Evaluation 7 September 2010 Reference: EPI TF 10015 Calculation of Alert Levels for Assessing Collection Center Donor Quality for PMF Evaluation Background The quality and safety of plasma protein therapies and the

More information

Report on the Scaling of the 2012 NSW Higher School Certificate

Report on the Scaling of the 2012 NSW Higher School Certificate Report on the Scaling of the 2012 NSW Higher School Certificate NSW Vice-Chancellors Committee Technical Committee on Scaling Universities Admissions Centre (NSW & ACT) Pty Ltd 2013 ACN 070 055 935 ABN

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Exam Name 1) A recent report stated ʺBased on a sample of 90 truck drivers, there is evidence to indicate that, on average, independent truck drivers earn more than company -hired truck drivers.ʺ Does

More information

Assessing Measurement System Variation

Assessing Measurement System Variation Assessing Measurement System Variation Example 1: Fuel Injector Nozzle Diameters Problem A manufacturer of fuel injector nozzles installs a new digital measuring system. Investigators want to determine

More information

Composite performance measures in the public sector Rowena Jacobs, Maria Goddard and Peter C. Smith

Composite performance measures in the public sector Rowena Jacobs, Maria Goddard and Peter C. Smith Policy Discussion Briefing January 27 Composite performance measures in the public sector Rowena Jacobs, Maria Goddard and Peter C. Smith Introduction It is rare to open a newspaper or read a government

More information

Chapter 4. Probability and Probability Distributions

Chapter 4. Probability and Probability Distributions Chapter 4. robability and robability Distributions Importance of Knowing robability To know whether a sample is not identical to the population from which it was selected, it is necessary to assess the

More information

Center: Finding the Median. Median. Spread: Home on the Range. Center: Finding the Median (cont.)

Center: Finding the Median. Median. Spread: Home on the Range. Center: Finding the Median (cont.) Center: Finding the Median When we think of a typical value, we usually look for the center of the distribution. For a unimodal, symmetric distribution, it s easy to find the center it s just the center

More information

UNIVERSITY OF MANCHESTER MANCHESTER BUSINESS SCHOOL. BSc (HONOURS) IN ACCOUNTING, MANAGEMENT AND INFORMATION SYSTEMS UNDERGRADUATE DEGREE REGULATIONS

UNIVERSITY OF MANCHESTER MANCHESTER BUSINESS SCHOOL. BSc (HONOURS) IN ACCOUNTING, MANAGEMENT AND INFORMATION SYSTEMS UNDERGRADUATE DEGREE REGULATIONS UNIVERSITY OF MANCHESTER MANCHESTER BUSINESS SCHOOL BSc (HONOURS) IN ACCOUNTING, MANAGEMENT AND INFORMATION SYSTEMS UNDERGRADUATE DEGREE REGULATIONS The University Undergraduate Degree Regulations apply

More information

Risk Analysis and Quantification

Risk Analysis and Quantification Risk Analysis and Quantification 1 What is Risk Analysis? 2. Risk Analysis Methods 3. The Monte Carlo Method 4. Risk Model 5. What steps must be taken for the development of a Risk Model? 1.What is Risk

More information

How to Verify Performance Specifications

How to Verify Performance Specifications How to Verify Performance Specifications VERIFICATION OF PERFORMANCE SPECIFICATIONS In 2003, the Centers for Medicare and Medicaid Services (CMS) updated the CLIA 88 regulations. As a result of the updated

More information

Lecture 2. Summarizing the Sample

Lecture 2. Summarizing the Sample Lecture 2 Summarizing the Sample WARNING: Today s lecture may bore some of you It s (sort of) not my fault I m required to teach you about what we re going to cover today. I ll try to make it as exciting

More information

11. Analysis of Case-control Studies Logistic Regression

11. Analysis of Case-control Studies Logistic Regression Research methods II 113 11. Analysis of Case-control Studies Logistic Regression This chapter builds upon and further develops the concepts and strategies described in Ch.6 of Mother and Child Health:

More information

Quality control in dental practice Peter Kivovics DMD, BDS, MDSc, PhD, Chief Dental Officer for Hungary

Quality control in dental practice Peter Kivovics DMD, BDS, MDSc, PhD, Chief Dental Officer for Hungary Quality control in dental practice Peter Kivovics DMD, BDS, MDSc, PhD, Chief Dental Officer for Hungary National Center for Healthcare Audit and Improvement Quality Assurance vs. Quality Control Quality

More information

Introduction to. Hypothesis Testing CHAPTER LEARNING OBJECTIVES. 1 Identify the four steps of hypothesis testing.

Introduction to. Hypothesis Testing CHAPTER LEARNING OBJECTIVES. 1 Identify the four steps of hypothesis testing. Introduction to Hypothesis Testing CHAPTER 8 LEARNING OBJECTIVES After reading this chapter, you should be able to: 1 Identify the four steps of hypothesis testing. 2 Define null hypothesis, alternative

More information

Gamma Distribution Fitting

Gamma Distribution Fitting Chapter 552 Gamma Distribution Fitting Introduction This module fits the gamma probability distributions to a complete or censored set of individual or grouped data values. It outputs various statistics

More information

Analyzing Quantitative Data Ellen Taylor-Powell

Analyzing Quantitative Data Ellen Taylor-Powell G3658-6 Program Development and Evaluation Analyzing Quantitative Data Ellen Taylor-Powell Statistical analysis can be quite involved. However, there are some common mathematical techniques that can make

More information

National Child Measurement Programme: England, 2011/12 school year

National Child Measurement Programme: England, 2011/12 school year National Child Measurement Programme: England, 2011/12 school year December 2012 Copyright 2012, The Health and Social Care Information Centre. All Rights Reserved. www.ic.nhs.uk Author: The Health and

More information

Test Scoring And Course Evaluation Service

Test Scoring And Course Evaluation Service Test Scoring And Course Evaluation Service TABLE OF CONTENTS Introduction... 3 Section 1: Preparing a Test or Questionnaire... 4 Obtaining the Answer Forms... 4 Planning the Test or Course evaluation...

More information

Standardization, Calibration and Quality Control

Standardization, Calibration and Quality Control Standardization, Calibration and Quality Control Ian Storie Flow cytometry has become an essential tool in the research and clinical diagnostic laboratory. The range of available flow-based diagnostic

More information

Information Technology Services will be updating the mark sense test scoring hardware and software on Monday, May 18, 2015. We will continue to score

Information Technology Services will be updating the mark sense test scoring hardware and software on Monday, May 18, 2015. We will continue to score Information Technology Services will be updating the mark sense test scoring hardware and software on Monday, May 18, 2015. We will continue to score all Spring term exams utilizing the current hardware

More information

How To Write A Data Analysis

How To Write A Data Analysis Mathematics Probability and Statistics Curriculum Guide Revised 2010 This page is intentionally left blank. Introduction The Mathematics Curriculum Guide serves as a guide for teachers when planning instruction

More information

DESCRIPTIVE STATISTICS AND EXPLORATORY DATA ANALYSIS

DESCRIPTIVE STATISTICS AND EXPLORATORY DATA ANALYSIS DESCRIPTIVE STATISTICS AND EXPLORATORY DATA ANALYSIS SEEMA JAGGI Indian Agricultural Statistics Research Institute Library Avenue, New Delhi - 110 012 seema@iasri.res.in 1. Descriptive Statistics Statistics

More information

Why Taking This Course? Course Introduction, Descriptive Statistics and Data Visualization. Learning Goals. GENOME 560, Spring 2012

Why Taking This Course? Course Introduction, Descriptive Statistics and Data Visualization. Learning Goals. GENOME 560, Spring 2012 Why Taking This Course? Course Introduction, Descriptive Statistics and Data Visualization GENOME 560, Spring 2012 Data are interesting because they help us understand the world Genomics: Massive Amounts

More information

Geomatics Guidance Note 3

Geomatics Guidance Note 3 Geomatics Guidance Note 3 Contract area description Revision history Version Date Amendments 5.1 December 2014 Revised to improve clarity. Heading changed to Geomatics. 4 April 2006 References to EPSG

More information

The right edge of the box is the third quartile, Q 3, which is the median of the data values above the median. Maximum Median

The right edge of the box is the third quartile, Q 3, which is the median of the data values above the median. Maximum Median CONDENSED LESSON 2.1 Box Plots In this lesson you will create and interpret box plots for sets of data use the interquartile range (IQR) to identify potential outliers and graph them on a modified box

More information

Data Management Implementation Plan

Data Management Implementation Plan Appendix 8.H Data Management Implementation Plan Prepared by Vikram Vyas CRESP-Amchitka Data Management Component 1. INTRODUCTION... 2 1.1. OBJECTIVES AND SCOPE... 2 2. DATA REPORTING CONVENTIONS... 2

More information

Course Text. Required Computing Software. Course Description. Course Objectives. StraighterLine. Business Statistics

Course Text. Required Computing Software. Course Description. Course Objectives. StraighterLine. Business Statistics Course Text Business Statistics Lind, Douglas A., Marchal, William A. and Samuel A. Wathen. Basic Statistics for Business and Economics, 7th edition, McGraw-Hill/Irwin, 2010, ISBN: 9780077384470 [This

More information

LSAT Law School Admission Test. General Information

LSAT Law School Admission Test. General Information LSAT Law School Admission Test General Information The LSAT is a half-day standardized test required for admission to all 197 law schools that are members of the Law School Admission Council (LSAC). It

More information

Calcium. Table 1: Difference between method means in percent

Calcium. Table 1: Difference between method means in percent Calcium Measurement of total calcium is widely used for both the diagnosis and the monitoring of a range of conditions related to the bones, heart, nerves, and kidneys. Total calcium measurements include

More information

Report on the Scaling of the 2014 NSW Higher School Certificate. NSW Vice-Chancellors Committee Technical Committee on Scaling

Report on the Scaling of the 2014 NSW Higher School Certificate. NSW Vice-Chancellors Committee Technical Committee on Scaling Report on the Scaling of the 2014 NSW Higher School Certificate NSW Vice-Chancellors Committee Technical Committee on Scaling Contents Preface Acknowledgements Definitions iii iv v 1 The Higher School

More information

Scatter Plots with Error Bars

Scatter Plots with Error Bars Chapter 165 Scatter Plots with Error Bars Introduction The procedure extends the capability of the basic scatter plot by allowing you to plot the variability in Y and X corresponding to each point. Each

More information

Dan French Founder & CEO, Consider Solutions

Dan French Founder & CEO, Consider Solutions Dan French Founder & CEO, Consider Solutions CONSIDER SOLUTIONS Mission Solutions for World Class Finance Footprint Financial Control & Compliance Risk Assurance Process Optimization CLIENTS CONTEXT The

More information

AUDIT PROTOCOL FOR THE VICTORIAN WATER QUALITY MONITORING NETWORK

AUDIT PROTOCOL FOR THE VICTORIAN WATER QUALITY MONITORING NETWORK AUDIT PROTOCOL FOR THE VICTORIAN WATER QUALITY MONITORING NETWORK ENVIRONMENT PROTECTION AUTHORITY June 1999 AUDIT PROTOCOL FOR THE VICTORIAN WATER QUALITY MONITORING NETWORK, June 1999 David Robinson

More information

Report on the Scaling of the 2013 NSW Higher School Certificate. NSW Vice-Chancellors Committee Technical Committee on Scaling

Report on the Scaling of the 2013 NSW Higher School Certificate. NSW Vice-Chancellors Committee Technical Committee on Scaling Report on the Scaling of the 2013 NSW Higher School Certificate NSW Vice-Chancellors Committee Technical Committee on Scaling Universities Admissions Centre (NSW & ACT) Pty Ltd 2014 ACN 070 055 935 ABN

More information

1 J (Gr 6): Summarize and describe distributions.

1 J (Gr 6): Summarize and describe distributions. MAT.07.PT.4.TRVLT.A.299 Sample Item ID: MAT.07.PT.4.TRVLT.A.299 Title: Travel Time to Work (TRVLT) Grade: 07 Primary Claim: Claim 4: Modeling and Data Analysis Students can analyze complex, real-world

More information

Guidance for Industry

Guidance for Industry Guidance for Industry Investigating Out-of-Specification (OOS) Test Results for Pharmaceutical Production U.S. Department of Health and Human Services Food and Drug Administration Center for Drug Evaluation

More information

ADD-INS: ENHANCING EXCEL

ADD-INS: ENHANCING EXCEL CHAPTER 9 ADD-INS: ENHANCING EXCEL This chapter discusses the following topics: WHAT CAN AN ADD-IN DO? WHY USE AN ADD-IN (AND NOT JUST EXCEL MACROS/PROGRAMS)? ADD INS INSTALLED WITH EXCEL OTHER ADD-INS

More information

Classify the data as either discrete or continuous. 2) An athlete runs 100 meters in 10.5 seconds. 2) A) Discrete B) Continuous

Classify the data as either discrete or continuous. 2) An athlete runs 100 meters in 10.5 seconds. 2) A) Discrete B) Continuous Chapter 2 Overview Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as categorical or qualitative data. 1) A survey of autos parked in

More information