Comparison of Statistical Packages 1 Comparison of Statistical Packages
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Sagemath and Sagemathcloud
Viviane Pons Ma^ıtrede conf´erence,Universit´eParis-Sud Orsay [email protected] { @PyViv SageMath and SageMathCloud Introduction SageMath SageMath is a free open source mathematics software I Created in 2005 by William Stein. I http://www.sagemath.org/ I Mission: Creating a viable free open source alternative to Magma, Maple, Mathematica and Matlab. Viviane Pons (U-PSud) SageMath and SageMathCloud October 19, 2016 2 / 7 SageMath Source and language I the main language of Sage is python (but there are many other source languages: cython, C, C++, fortran) I the source is distributed under the GPL licence. Viviane Pons (U-PSud) SageMath and SageMathCloud October 19, 2016 3 / 7 SageMath Sage and libraries One of the original purpose of Sage was to put together the many existent open source mathematics software programs: Atlas, GAP, GMP, Linbox, Maxima, MPFR, PARI/GP, NetworkX, NTL, Numpy/Scipy, Singular, Symmetrica,... Sage is all-inclusive: it installs all those libraries and gives you a common python-based interface to work on them. On top of it is the python / cython Sage library it-self. Viviane Pons (U-PSud) SageMath and SageMathCloud October 19, 2016 4 / 7 SageMath Sage and libraries I You can use a library explicitly: sage: n = gap(20062006) sage: type(n) <c l a s s 'sage. interfaces .gap.GapElement'> sage: n.Factors() [ 2, 17, 59, 73, 137 ] I But also, many of Sage computation are done through those libraries without necessarily telling you: sage: G = PermutationGroup([[(1,2,3),(4,5)],[(3,4)]]) sage : G . g a p () Group( [ (3,4), (1,2,3)(4,5) ] ) Viviane Pons (U-PSud) SageMath and SageMathCloud October 19, 2016 5 / 7 SageMath Development model Development model I Sage is developed by researchers for researchers: the original philosophy is to develop what you need for your research and share it with the community. -
Curriculum Vitae
CURRICULUM VITAE Name Ankit Patras Address 111 Agricultural and Biotechnology Building, Department of Agricultural and Environmental Sciences, Tennessee State University, Nashville TN 37209 Phone 615-963-6007, 615-963-6019/6018 Email [email protected], [email protected] EDUCATION 2005- 2009: Ph.D. Biosystems Engineering: School of Biosystems Engineering, College of Engineering & Architecture, Institute of Food and Health, University College Dublin, Ireland. 2005- 2006: Post-graduate certificate (Statistics & Computing): Department of Statistics and Actuarial Science, School of Mathematical Sciences, University College Dublin, Ireland 2003- 2004: Master of Science (Bioprocess Technology): UCD School of Biosystems Engineering, College of Engineering & Architecture, University College Dublin, Ireland 1998- 2002: Bachelor of Technology (Agricultural and Food Engineering): Allahabad Agriculture Institute, India ACADEMIC POSITIONS Assistant Professor, Food Biosciences: Department of Agricultural and Environmental Research, College of Agriculture, Human and Natural Sciences, Tennessee State University, Nashville, Tennessee 2nd Jan, 2014 - Present • Leading a team of scientist and graduate students in developing a world-class food research centre addressing current issues in human health, food safety specially virus, bacterial and mycotoxins contamination • Developing a world-class research program on improving safety of foods and pharmaceuticals • Develop cutting edge technologies (i.e. optical technologies, bioplasma, power Ultrasound, -
WEEK 10: FAREWELL to PYTHON... WELCOME to MAPLE! 1. a Review of PYTHON's Features During the Past Few Weeks, We Have Explored
WEEK 10: FAREWELL TO PYTHON... WELCOME TO MAPLE! 1. A review of PYTHON’s features During the past few weeks, we have explored the following aspects of PYTHON: • Built-in types: integer, long integer, float, complex, boolean, list, se- quence, string etc. • Operations on built-in types: +, −, ∗, abs, len, append, etc. • Loops: N = 1000 i=1 q = [] while i <= N q.append(i*i) i += 1 • Conditional statements: if x < y: min = x else: min = y • Functions: def fac(n): if n==0 then: return 1 else: return n*fac(n-1) • Modules: math, turtle, etc. • Classes: Rational, Vector, Polynomial, Polygon, etc. With these features, PYTHON is a powerful tool for doing mathematics on a computer. In particular, the use of modules makes it straightforward to add greater functionality, e.g. GL (3D graphics), NumPy (numerical algorithms). 2. What about MAPLE? MAPLE is really designed to be an interactive tool. Nevertheless, it can also be used as a programming language. It has some of the basic facilities available in PYTHON: Loops; conditional statements; functions (in the form of “procedures”); good graphics and some very useful additional modules called “packages”: • Built-in types: long integer, float (arbitrary precision), complex, rational, boolean, array, sequence, string etc. • Operations on built-in types: +, −, ∗, mathematical functions, etc. • Loops: 1 2 WEEK 10: FAREWELL TO PYTHON... WELCOME TO MAPLE! Table 1. Some of the most useful MAPLE packages Name Description Example DEtools Tools for differential equations exactsol(ode,y) linalg Linear Algebra gausselim(A) plots Graphics package polygonplot(p,axes=none) stats Statistics package random[uniform](10) N := 1000 : q := array(1..N) : for i from 1 to N do q[i] := i*i : od : • Conditional statements: if x < y then min := x else min := y fi: • Functions: fac := proc(n) if n=0 then return 1 else return n*fac(n-1) fi : end proc : • Packages: See Table 1. -
Econometrics Oxford University, 2017 1 / 34 Introduction
Do attractive people get paid more? Felix Pretis (Oxford) Econometrics Oxford University, 2017 1 / 34 Introduction Econometrics: Computer Modelling Felix Pretis Programme for Economic Modelling Oxford Martin School, University of Oxford Lecture 1: Introduction to Econometric Software & Cross-Section Analysis Felix Pretis (Oxford) Econometrics Oxford University, 2017 2 / 34 Aim of this Course Aim: Introduce econometric modelling in practice Introduce OxMetrics/PcGive Software By the end of the course: Able to build econometric models Evaluate output and test theories Use OxMetrics/PcGive to load, graph, model, data Felix Pretis (Oxford) Econometrics Oxford University, 2017 3 / 34 Administration Textbooks: no single text book. Useful: Doornik, J.A. and Hendry, D.F. (2013). Empirical Econometric Modelling Using PcGive 14: Volume I, London: Timberlake Consultants Press. Included in OxMetrics installation – “Help” Hendry, D. F. (2015) Introductory Macro-econometrics: A New Approach. Freely available online: http: //www.timberlake.co.uk/macroeconometrics.html Lecture Notes & Lab Material online: http://www.felixpretis.org Problem Set: to be covered in tutorial Exam: Questions possible (Q4 and Q8 from past papers 2016 and 2017) Felix Pretis (Oxford) Econometrics Oxford University, 2017 4 / 34 Structure 1: Intro to Econometric Software & Cross-Section Regression 2: Micro-Econometrics: Limited Indep. Variable 3: Macro-Econometrics: Time Series Felix Pretis (Oxford) Econometrics Oxford University, 2017 5 / 34 Motivation Economies high dimensional, interdependent, heterogeneous, and evolving: comprehensive specification of all events is impossible. Economic Theory likely wrong and incomplete meaningless without empirical support Econometrics to discover new relationships from data Econometrics can provide empirical support. or refutation. Require econometric software unless you really like doing matrix manipulation by hand. -
Econometric Theory
Econometric Theory John Stachurski January 10, 2014 Contents Preface v I Background Material1 1 Probability2 1.1 Probability Models.............................2 1.2 Distributions................................. 16 1.3 Dependence................................. 25 1.4 Asymptotics................................. 30 1.5 Exercises................................... 39 2 Linear Algebra 49 2.1 Vectors and Matrices............................ 49 2.2 Span, Dimension and Independence................... 59 2.3 Matrices and Equations........................... 66 2.4 Random Vectors and Matrices....................... 71 2.5 Convergence of Random Matrices.................... 74 2.6 Exercises................................... 79 i CONTENTS ii 3 Projections 84 3.1 Orthogonality and Projection....................... 84 3.2 Overdetermined Systems of Equations.................. 90 3.3 Conditioning................................. 93 3.4 Exercises................................... 103 II Foundations of Statistics 107 4 Statistical Learning 108 4.1 Inductive Learning............................. 108 4.2 Statistics................................... 112 4.3 Maximum Likelihood............................ 120 4.4 Parametric vs Nonparametric Estimation................ 125 4.5 Empirical Distributions........................... 134 4.6 Empirical Risk Minimization....................... 137 4.7 Exercises................................... 149 5 Methods of Inference 153 5.1 Making Inference about Theory...................... 153 5.2 Confidence Sets.............................. -
Department of Geography
Department of Geography UNIVERSITY OF FLORIDA, SPRING 2019 GEO 4167c section #09A6 / GEO 6161 section # 09A9 (3.0 credit hours) Course# 15235/15271 Intermediate Quantitative Methods Instructor: Timothy J. Fik, Ph.D. (Associate Professor) Prerequisite: GEO 3162 / GEO 6160 or equivalent Lecture Time/Location: Tuesdays, Periods 3-5: 9:35AM-12:35PM / Turlington 3012 Instructor’s Office: 3137 Turlington Hall Instructor’s e-mail address: [email protected] Formal Office Hours Tuesdays -- 1:00PM – 4:30PM Thursdays -- 1:30PM – 3:00PM; and 4:00PM – 4:30PM Course Materials (Power-point presentations in pdf format) will be uploaded to the on-line course Lecture folder on Canvas. Course Overview GEO 4167x/GEO 6161 surveys various statistical modeling techniques that are widely used in the social, behavioral, and environmental sciences. Lectures will focus on several important topics… including common indices of spatial association and dependence, linear and non-linear model development, model diagnostics, and remedial measures. The lectures will largely be devoted to the topic of Regression Analysis/Econometrics (and the General Linear Model). Applications will involve regression models using cross-sectional, quantitative, qualitative, categorical, time-series, and/or spatial data. Selected topics include, yet are not limited to, the following: Classic Least Squares Regression plus Extensions of the General Linear Model (GLM) Matrix Algebra approach to Regression and the GLM Join-Count Statistics (Dacey’s Contiguity Tests) Spatial Autocorrelation / Regression -
The Evolution of Econometric Software Design: a Developer's View
Journal of Economic and Social Measurement 29 (2004) 205–259 205 IOS Press The evolution of econometric software design: A developer’s view Houston H. Stokes Department of Economics, College of Business Administration, University of Illinois at Chicago, 601 South Morgan Street, Room 2103, Chicago, IL 60607-7121, USA E-mail: [email protected] In the last 30 years, changes in operating systems, computer hardware, compiler technology and the needs of research in applied econometrics have all influenced econometric software development and the environment of statistical computing. The evolution of various representative software systems, including B34S developed by the author, are used to illustrate differences in software design and the interrelation of a number of factors that influenced these choices. A list of desired econometric software features, software design goals and econometric programming language characteristics are suggested. It is stressed that there is no one “ideal” software system that will work effectively in all situations. System integration of statistical software provides a means by which capability can be leveraged. 1. Introduction 1.1. Overview The development of modern econometric software has been influenced by the changing needs of applied econometric research, the expanding capability of com- puter hardware (CPU speed, disk storage and memory), changes in the design and capability of compilers, and the availability of high-quality subroutine libraries. Soft- ware design in turn has itself impacted applied econometric research, which has seen its horizons expand rapidly in the last 30 years as new techniques of analysis became computationally possible. How some of these interrelationships have evolved over time is illustrated by a discussion of the evolution of the design and capability of the B34S Software system [55] which is contrasted to a selection of other software systems. -
Receiver Operating Characteristic (ROC) Methods in Diagnostic Imaging
8/2/2017 Receiver Operating Characteristic (ROC) Methods in Diagnostic Imaging Elizabeth A. Krupinski, PhD Department Radiology & Imaging Sciences Emory University Bit of History • Developed early 1950s based on principles SDT for eval radar operators detecting enemy aircraft & missiles • Contributions from engineering, psychology & mathematics • Lee Lusted introduced medicine 1960s with significant effort on gaining better understanding decision-making • Result of radiology studies after WWII to determine which of 4 radiographic & fluoroscopic techniques better for TB screening • Goal = single imaging technique outperform others • Found intra & inter-observer variation so high impossible determine • Necessary to build systems generate better images so radiologists’ performance could improve (i.e., reduce observer variability) & develop methods evaluate these new systems & assess impact on observer performance Basics • ROC traditionally binary decision task – target/signal (e.g., lesion, disease, missile) present versus target/signal absent, or in case classification rather than detection target/signal belongs to class 1 (e.g., cancer, enemy) or class 2 (e.g., not cancer, friend) • ROC analysis these two conditions must be mutually exclusive 1 8/2/2017 2 x 2 Matrix Decision = Target Decision = Target Present Absent Truth = Target Present True Positive (TP) False Negative (FN) Truth = Target Absent False Positive (FP) True Negative (TN) Common Performance Metrics • Sensitivity = TP/(TP + FN) • Specificity = TN/(TN + FP) • Accuracy = (TP -
Regression Models by Gretl and R Statistical Packages for Data Analysis in Marine Geology Polina Lemenkova
Regression Models by Gretl and R Statistical Packages for Data Analysis in Marine Geology Polina Lemenkova To cite this version: Polina Lemenkova. Regression Models by Gretl and R Statistical Packages for Data Analysis in Marine Geology. International Journal of Environmental Trends (IJENT), 2019, 3 (1), pp.39 - 59. hal-02163671 HAL Id: hal-02163671 https://hal.archives-ouvertes.fr/hal-02163671 Submitted on 3 Jul 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Distributed under a Creative Commons Attribution| 4.0 International License International Journal of Environmental Trends (IJENT) 2019: 3 (1),39-59 ISSN: 2602-4160 Research Article REGRESSION MODELS BY GRETL AND R STATISTICAL PACKAGES FOR DATA ANALYSIS IN MARINE GEOLOGY Polina Lemenkova 1* 1 ORCID ID number: 0000-0002-5759-1089. Ocean University of China, College of Marine Geo-sciences. 238 Songling Rd., 266100, Qingdao, Shandong, P. R. C. Tel.: +86-1768-554-1605. Abstract Received 3 May 2018 Gretl and R statistical libraries enables to perform data analysis using various algorithms, modules and functions. The case study of this research consists in geospatial analysis of Accepted the Mariana Trench, a hadal trench located in the Pacific Ocean. -
An Introduction to the SAS System
An Introduction to the SAS System Dileep K. Panda Directorate of Water Management Bhubaneswar-751023 [email protected] Introduction The SAS – Statistical Analysis System (erstwhile expansion of SAS) - is the one of the most widely used Statistical Software package by the academic circles and Industry. The SAS software was developed in late 1960s at North Carolina State University and in 1976 SAS Institute was formed. The SAS system is a collection of products, available from the SAS Institute in North Carolina. SAS software is a combination of a statistical package, a data – base management system, and a high level programming language. The SAS is an integrated system of software solutions that performs the following tasks: Data entry, retrieval, and management Report writing and graphics design Statistical and mathematical analysis Business forecasting and decision support Operations research and project management Applications development At the core of the SAS System is the Base SAS software. The Base SAS software includes a fourth-generation programming language and ready-to-use programs called procedures. These integrated procedures handle data manipulation, information storage and retrieval, statistical analysis, and report writing. Additional components offer capabilities for data entry, retrieval, and management; report writing and graphics; statistical and mathematical analysis; business planning, forecasting, and decision support; operations research and project management; quality improvement; and applications development. In general, the Base SAS software has the following capabilities A data management facility A programming language Data analysis and reporting utilities Learning to use Base SAS enables you to work with these features of SAS. It also prepares you to learn other SAS products, because all SAS products follow the same basic rules. -
Kwame Nkrumah University of Science and Technology, Kumasi
KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY, KUMASI, GHANA Assessing the Social Impacts of Illegal Gold Mining Activities at Dunkwa-On-Offin by Judith Selassie Garr (B.A, Social Science) A Thesis submitted to the Department of Building Technology, College of Art and Built Environment in partial fulfilment of the requirement for a degree of MASTER OF SCIENCE NOVEMBER, 2018 DECLARATION I hereby declare that this work is the result of my own original research and this thesis has neither in whole nor in part been prescribed by another degree elsewhere. References to other people’s work have been duly cited. STUDENT: JUDITH S. GARR (PG1150417) Signature: ........................................................... Date: .................................................................. Certified by SUPERVISOR: PROF. EDWARD BADU Signature: ........................................................... Date: ................................................................... Certified by THE HEAD OF DEPARTMENT: PROF. B. K. BAIDEN Signature: ........................................................... Date: ................................................................... i ABSTRACT Mining activities are undertaken in many parts of the world where mineral deposits are found. In developing nations such as Ghana, the activity is done both legally and illegally, often with very little or no supervision, hence much damage is done to the water bodies where the activities are carried out. This study sought to assess the social impacts of illegal gold mining activities at Dunkwa-On-Offin, the capital town of Upper Denkyira East Municipality in the Central Region of Ghana. The main objectives of the research are to identify factors that trigger illegal mining; to identify social effects of illegal gold mining activities on inhabitants of Dunkwa-on-Offin; and to suggest effective ways in curbing illegal mining activities. Based on the approach to data collection, this study adopts both the quantitative and qualitative approach. -
Full-Text (PDF)
Vol. 13(6), pp. 153-162, June 2019 DOI: 10.5897/AJPS2019.1785 Article Number: E69234960993 ISSN 1996-0824 Copyright © 2019 Author(s) retain the copyright of this article African Journal of Plant Science http://www.academicjournals.org/AJPS Full Length Research Paper Adaptability and yield stability of bread wheat (Triticum aestivum) varieties studied using GGE-biplot analysis in the highland environments of South-western Ethiopia Leta Tulu1* and Addishiwot Wondimu2 1National Agricultural Biotechnology Research Centre, P. O. Box 249, Holeta, Ethiopia. 2Department of Plant Sciences, College of Agriculture and Veterinary Science, Ambo University. P. O. Box 19, Ambo, Ethiopia. Received 13 February, 2019; Accepted 11 April, 2019 The objectives of this study were to evaluate released Ethiopian bread wheat varieties for yield stability using the GGE biplot method and identify well adapted and high-yielding genotypes for the highland environments of South-western Ethiopia. Twenty five varieties were evaluated in a randomized complete block design with three replications at Dedo and Gomma during the main cropping season of 2016 and at Dedo, Bedelle, Gomma and Manna during the main cropping season of 2017, generating a total of six environments in location-by-year combinations. Combined analyses of variance for grain yield indicated highly significant (p<0.001) mean squares due to environments, genotypes and genotype-by- environment interaction. Yield data were also analyzed using the GGE (that is, G, genotype + GEI, genotype-by-environment interaction) biplot method. Environment explained 73.2% of the total sum of squares, and genotype and genotype X environment interaction explained 7.16 and 15.8%, correspondingly.