Basic concepts of statistics notes pdf
The text-books listed below will be useful for other courses on probability and statistics. Acquire basic concepts of Coat & Management Accounting relevant for managerial decision making Skill set required Level A: Requiring the skill levels of knowledge, comprehension, Section A : Fundamentals of Financial Accounting 1. 5 / 5 (1517 votes) Downloads: 68589 >>>CLICK HERE TO DOWNLOAD<<< Lecture notes # 1: review of basic concepts 1- 1 richard gonzalez1 psych… Clearly dIn( a b d a b ). Experiments affecting the real world Denying control units access to beneficial treatments Treatments with potential harm. Basics of statistics Conducted by Dept. In applying statistics to, e. The median is the middle number. Section 1. Download to read offline. ? If the trial consists of ipping a coin twice, the state. These concepts have been described in the sub section 1. a. 1 Introduction 1. 05 Introduction to Probability and Statistics (S22), Class 19 Slides: NHST III. 2- Analytic statistics concerns with the use of data from a sample of population to make inferences about the population . With the above explanation, the concept of statistics must be fairly clear in your mind. 2 Goals for Lecture Notes #1 •Review basic statistical concepts – two sample t test – role of statistical assumptions – hypothesis testing – descriptive statistics – exploratory data analysis – remedial measures •Introduce SPSS and R syntax 1These lecture notes have benefited from feedback given by teaching assistants and Feb 10, 2016 · Set, population, sample, Frequency and relative frequency , Data analysis, Presentation of Group data, Graphical Representation of Grouped Data. The circles in the large box represent elements of the population. Nov 28, 2009 · Basic Statistical Concepts and Methods. Distinguish between a parameter and a statistic. Sc. 199 likes • 116,405 views. Chapter 1: Basic Concepts 5 In an argument, the premises are intended to support (justify) the conclusion. Three Popular Data Displays; Measures of Central Location; Measures of Variability; Relative Position of Data; The Empirical Rule and Chebyshev’s Theorem; Chapter 3: Basic Concepts of Probability. Descriptive statistics are just descriptive. Understand the mathematical operations so that you can function as a scientist without depending on formulas. Download Lecture Slide of Probability and Basic Concepts of Elementary Statistics | STA 013 and more Statistics Study notes in PDF only on Docsity! Sa STATISTICS 13 Lecture 10 Jan. Audience. The distinction between a population together with its parameters and a sample together with its statistics is a fundamental concept in inferential statistics. This module uses a problem-solving approach to facilitate the learning of some basic epidemiological concepts and practices and simple statistics. Included in this chapter are the basic ideas and words of probability and statistics. A Webinar presentation to. et al (1988)]. Read more. pdf - Free download as PDF File (. 2 Basic Concepts of Data Analysis In order to clarify the preceding generalities, a few examples are provided: Socioeconomic surveys: In the interdisciplinary areas of sociology, economics, and political Some Basic concepts Statistics is a field of study concerned with 1- collection, organization, summarization and analysis of data. pdf. It is sometimes helpful to think of a PDF as the limit of a relative frequency histogram for many realisations of the random quantity, where the number of realisations is very large and the bin widths are very small. These observations, which are frequently categorical or numerical information about particular individuals or objects—are data. It is used for collection, summarization, presentation and analysis of data. The word statistics has many different meanings in our Jun 5, 2020 · Basic Concepts of Statistics for. EE 178/278A: Basic Probability Page 1–5 Elements of Probability • Probability theory provides the mathematical rules for assigning probabilities to outcomes of random experiments, e. There are three common ways of describing the centre of a set of numbers. Mar 22, 2022 · Download PDF. It does not imply a random sample, or a simple random sample. Listed below are goals for different research projects. Examples and questions can be update as time changes. —compute measures of dispersion. Take a random sample of n = 64. Move-to-Opportunity experiment; $70million, 350,000 people. 1 "The Grand Picture of Statistics". Since there are 26 26 black cards in the deck, the probability that the second card is black is 26/52 = 1/2 26 / 52 = 1 / 2. Each unit u 2S0nS is called an extra-sample unit. Sheshadripuram College of Management, Banagaluru on 5 th June 2020. Sample vs Population. Statistics. One theme common to all of these sections is that they cover concepts and ideas important for other chapters in the book. 1 Information theory 8 1. Potential Objections to Experiments. These are by no means ex-haustive or comprehensive and we encourage students and teachers to seek locally relevant examples. Basic Probability 1. Learning Objectives. value, which is the probability of obtaining the observed results, or something more extreme, if the null hypothesis were true. , SPSS, R) 1. A study dealing with the collection, presentation and interpretation and analysis of data is called statistics. 1. It describes the different types of variables, scales of measurement, and modeling types with which these variables are analyzed . 3. 1 - Basic Definitions of Probability. The Class 10 Maths Chapter 14 notes enable students to recall all the previously learned concepts of the chapter quickly and conveniently especially during the exams when they have to revise Oct 14, 2015 · Basics of statistics. Introduction to Statistics. To be clear, the word ‘sample’ in these notes denotes a nite ordered subset of units. For example, we may be interested in the mean income of the people of some region for a The basic ideas of decision theory and of decision theoretic methods lend themselves to a variety of applications and computational and analytic advances. Since there are 52 52 cards in a deck and 13 13 of them are hearts, the probability that the first card is a heart is 13/52 = 1/4 13 / 52 = 1 / 4. A collection of mathematical techniques known as statistics summarizes and analyzes observations. There are several basic objectives for this unit of study. We are interested in both the sample statistic and the population parameter in inferential statistics. In these chapters, we will learn the basic concepts of Probability and its application to statistic sampling. 1 Basic De nitions Trials? Probability is concerned with the outcome of tri-als. 2. One of demography’s main theoretical preoccupation in 20thcentury More a generalization from observed trends than a theory Descriptive and pedagogic value Many patterns of transition, with different timing and explanations. Jan 8, 2021 · Jan 8, 2021. COM and other exams. But in order to understand the term further, we need to be well aware about certain basic concepts in statistics. Many variables. ! Data are collected in a very systematic manner and conclusions are drawn based on the data. Main focus is given to types of data, measurement of central variations and basic tests, which are useful LibreTexts. We begin by introducing two general types of statistics: • Descriptive statistics: statistics that summarize observations. Statistical methods are important to draw valid conclusions from the obtained data. The hypothesis test consists of several components; two statements, the null hypothesis and the alternative hypothesis, the test statistic and the critical value, which in turn give us the P-value and the rejection region ( ), respectively. Statistics as a Chapter 1 Basic Concepts in Statistics 1. 3 Internal vs. , ) = ( , One common weighted distance that we encounter in multivariate analysis is the Mahalanobis distance (Rao, 1973). Many subjects. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. Upon completion of the unit, the student will be able to: —define basic terms used in statistics. The relationship between a population of interest and a sample drawn from that population is perhaps the most important concept in statistics, since everything else rests on it. Upon completion of this review of basic statistical concepts, you should be able to do the following: Distinguish between a population and a sample. 2 Goals for Lecture Notes #1 •Review basic statistical concepts – two sample t test – role of statistical assumptions Topic 2. One definition states: z statistic. You will get all of this along with prompt guidance from the teachers of Vedantu once you avail of our Notes of Class 11 Revision Notes Chapter 15. Preparation of Final Accounts 25% Basic Concepts of Statistical Inference for Causal Effects in Experiments and Observational Studies Donald B. 60 SE x 5. I do not think this book needs any major changes recently. Understand the four scales of measurements, and 4. To illustrate statistical concepts understandably, let’s provide an example. Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. In chapter 15 we will be going through the mean, mode, and median concepts in Statistics Class 11 notes. E-mail: mirlesridhar@gmai l. external validity. Define statistics, 2. A collection of variables for a given group forms a dataset. Statistics for Social Scientists Quantitative social science research: 1 Find a substantive question 2 Construct theory and hypothesis 3 Design an empirical study and collect data 4 Use statistics to analyze data and test hypothesis 5 Report the results No study in the social sciences is perfect Use best available methods and data, but be aware 18. To appreciate fully the power and elegance of statistics, we need to go back to the ancient Middle East. The chapter reviews the differences between nonexperimental and experimental research and the differences between descriptive and In modern Statistics, the most common way of guaranteeing representativeness is to use a random sample of size n chosen according to a probabilistic sampling rule. Learn the concepts of elementary and advanced Statistics. 3. All youneed to do is to follow the instructions as provided in each unit. SEx n 40 64 5. The mean add up all the numbers and divide by how many numbers there are. This first chapter begins by discussing what statistics are and why the study of statistics is important. 2 Basic Concepts and Rules We discuss random experiment, sample space and events; relative frequency approx-imation and theoretical approach to probability, law of large numbers and subjective probabilities. United Nations Workshop on Evaluation and Analysis of Census Data Nay Pyi Taw, Myanmar, 1–12 December 2014. You need at most one of the three textbooks listed below, but you will need the statistical tables. x: attribute, predictor, independent variable, input. We know σ = 40. Accounting for Special Transactions 20% 3. Apr 23, 2022 · David Lane. -Survey is the apt non-experimental method for BASIC CONCEPTS 143 In estimating a real parameter with L(O, d) = (0-d)2, the convexity con-ditions are satisfied and no randomization is useful. Page ID. At the end of the lesson, students will be able to define statistics and its relative terms such as mean, median, mode and range; and identify uses Statistics: Concepts and Examples. Classification: Definition. Research and Business. com. Students should be able to: 1. In other words, it is a mathematical discipline to collect, summarize data. Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. Definition 2 In common usage, it refers to numerical data. —compute simple measures of central tendency. Describe basic statistical concepts, 3. 15861. Exercise 1. scene for understanding basic concepts and available tools for analysing data and As with the first edition of Basic epidemiology , examples are drawn from different countries to illustrate various epidemiological concepts. See the assumed knowledge notes for a basic introduction. 2- drawing of inferences about a body of data when only a part of the data is observed. Accounting Fundamentals 35% 2. These concepts will not change within a short period of time. Acquaint yourself with notation and underlying logic. Indicate which of the three non-experimental methods described above would be most appropriate for each project, and describe why. Michael M Nikoletseas. This is very fitting because we can trace numbers and, ultimately, statistics back to the begin-ning of human language and thus to the beginning of human written history. Data sci‐entists and business analysts are more likely to refer to such values as a metric. Education. Revision notes and study materials are available for download in pdf format of all the chapters according to karnataka state board DPUE syllabus. Sample Space (S)? Set of all possible elementary outcomes of a trial. Linear programming can be defined as: “A mathematical method to allocate scarce resources to competing activities in an optimal manner when the problem can be expressed using a linear objective function and linear inequality constraints. The appropriate analysis depends on the data measurement level - nominal represents classification, ordinal represents A hypothesis test allows us to test the claim about the population and find out how likely it is to be true. 1 Parameter In a statiitical inquiry, our interest lies in one or more characteristics of the population. Descriptive statisticsis a collection of methods for summarizing data (e. , mean, median, mode, range, variance, graphs). matics and (b) statistics is its own very precise language. Descriptive statisticsare numbers that are used to summarize and describe data. It is considered to be fundamental to the learning of the epidemiological approach to malaria control and for a situation Jun 10, 2022 · Inferential Statistics, on the other hand, is a branch of statistics that helps us make decisions or predictions based on the data that we have gathered. COM, M. g. Nov 28, 2009 • Download as PPT, PDF •. Further examples appear in later lessons. Given a collection of records (training set ) – Each record is by characterized by a tuple (x,y), where x is the attribute set and y is the class label. 05 Introduction to Probability and Statistics (S22), Class 21 Slides: Exam 2 Review. De nitions. 26, 2007 ~”“ O Review Linear regression Formula Interpretation of regression result Regression effect xbya s s rb bxay x y −= = += , Basic Concepts: Simple . The result is a meaningful understanding of the discipline, which will serve students in their business Jan 5, 2016 · The descriptive statistics section, covers of basic concepts and knowledge of data, variables, study population, samples and the common terminology used in the statistical functions. To state things somewhat differently, when a person (speaking or writing) advances an argument, he(she) expresses a statement he(she) believes to be true (the conclusion), and he(she) cites other statements as a reason for believing that This chapter reviews basic concepts and terminology from research design and statistics. 05 Introduction to Probability and Statistics (S22), Class 20 Slides: Comparison of Frequentist and Bayesian Inference. y: class, response, dependent variable, output. In general, a distance function, say, a b can be defined in many other ways. However, there are two important and basic ideas involved in statistics; they The Role of Statistics ! The goal of virtually all quantitative research studies is to identify and describe relationships among constructs. Probability is the measur e of chance of occurrence of a particular event. Also, we can say that statistics is a branch of applied mathematics. It contains chapters discussing all the basic concepts of Statistics with suitable examples. They do not involve generalizing beyond the data at hand. 8. M S Sridhar. If the observed results are unlikely under the null hypothesis, reject the null hypothesis. Know the general form of most confidence intervals. Data collected first-hand data:- Primary Nov 10, 1997 · It is a second course in statistics designed to provide you with the basic concepts and methods of statistical analysis for processes and products. It is important to begin our study with an introduction of some basic concepts in order to understand and communicate about the subject. 4 Observational and Experimental Studies 17 Chapter 2 Organizing and 1 LECTURE NOTES #1 1. For example, if there are 100 buildings and you wanted to estimate the average number of floors per building, you might randomly select 20 buildings for your sample. Understand the basic concept and the interpretation of a confidence interval. Statistics provides a way of organizing data to get information on a wider and more Statistics emerged in the context of the analysis of (nowadays large) data sets from observational and experimental measurements in the Natural Sciences. We begin with a discussion of the word statistics. There are two main types: descriptive statistics describes a group, while inferential statistics uses a sample to make conclusions about the larger population. Aug 2, 2010 · A vital tool in statistics. This tutorial is designed for Professionals who are willing to learn Statistics and want to clear B. This means an y collection of data or information constitutes what is referred to as Statistics. Basic Definitions of Probability is the first in a series on lessons developing the foundations of probability theory. Statisticians often use the term estimates for values calculated from the data at hand, to draw a distinction between what we see from the data, and the theoretical true or exact state of affairs. , B. The course is tailored to meet your 1st PUC Statistics chapter-wise notes & solutions pdf download. ? If the trial consists of ipping a coin twice, the The fields of economics, business, psychology, education, biology, law, computer science, police science, and early childhood development require at least one course in statistics. The term statistics was applied to mean facts and figures and figures which were needed the state in respect of the division of the state, their respective population birth rate, income and the like. We will learn the addition rule, multiplication rule and conditional probability rule to calculate probability of complex events. Note that when we perform statistical analysis we want to deal with the individual observations (the microdata) not the aggregate values. Text Book : Basic Concepts and Methodology for Lesson Objectives and Overview: Basic Statistics provides a comprehensive overview of basic statistics and gives students numerous activities to help solidify their understanding of these concepts. Clarity rating: 4 Overall clarity of this book is admirable. For a population of nite size N, the most common method is to use simple random sampling. Sample Spaces, Events, and Their Probabilities Unit 2 Basic Research Methodology I Unit 3 Basic Research Methodology II Unit 4 Nature of Science Unit 5 Some Basic Concepts in Social Statistics As you can observe, the course begins with the basics and expands into a more elaborate, complex and detailed form. It includes concepts such as hypothesis, probability, and so Nov 4, 2023 · Basic statistics notes pdf Rating: 4. Random experiment. 2: Overview Statistics computed from samples vary randomly from sample to sample. Rubin at Harvard University. 29 kB. A. They are the mean, the median and the mode and are calculated as follows. Text Book : Basic Concepts and Methodology for 1. Ahmed-Refat Refat. In settings where prediction or interpolation is involved, it is necessary to consider an extended sample S0, which includes S as a sub-sample. Download PDF. Match statistics to the appropriate scale of measurement. • Inferential statistics: statistics used to interpret the meaning of descriptive statistics. A measure of such a characteristic is called aparameter. Class 11 Math chapter 15 notes are regarding statistics. 3 SOME CONCEPTS We explain below some of the concepts frequently used in sampling theory. Basic Definitions and Concepts; Overview; Presentation of Data; Chapter 2: Descriptive Statistics. 1 Cost. Revising maths requires memorizing a lot of formulas and devising short-cuts to solve problems. 1 Basic Statistical Concepts Business statistics, like many areas of study, has its own language. May 24, 2024 · This book contains basic concepts in statistics. Unit 7: Probability. It is designed for health workers responsible for tropical diseases control. The Study of Randomness – probability theory - describes random behaviour. Rubin Department of Statistics Harvard University The following material is a summary of the course materials used in Quantitative Reasoning (QR) 33, taught by Donald B. Basic Concepts of Statistics - Lecture Notes - Download as a PDF or view online for free. 3 Sampling Techniques 12 1. The population parameter is what generates data and is what we want to estimate using statistics or econometrics The DGP can be something simple, like the density of a normal distribution in which case might be the mean and standard deviation of the distribution. 18. 1 Reading assignment •Review MD chs 1&2 or G chs 1-5. Information in a sample is used to make inferences about the population from which the sample was drawn. Subsequent sections cover a variety of topics all basic to the study of statistics. It defines events, establishes probability for equally likely outcomes (the ‘equiprobable model’) and gives a brief example. CBSE Class 9 Maths Statistics Notes. , coin flips, packet arrivals, noise voltage • Basic elements of probability: Sample space: The set of all possible “elementary” or “finest grain” Statistics is used in business decision making and involves gathering, analyzing, interpreting, and presenting data. This initial part of the report introduces the basic elements in (statistical) decision theory and reviews some of the basic concepts of both frequentist statistics and Bayesian analysis. Goal: To determine whether the users of a statistics software consist mainly of undergraduate students, graduated students, or faculties among the world. 1 gives several important examples, discusses their characteristic features and deduces a general approach to the data analysis. Basic theoretical probability Probability using sample spaces Basic set operations Experimental probability. Randomness, probability, and simulation Addition rule Multiplication rule for independent events Multiplication rule for dependent events Conditional probability and independence. Statisticians try to interpret and communicate the results to others. One can view statistics from two Topic 1 Basic Statistical Concepts. This book is directed to students and researchers and scholars in Philosophy of Science. Chapter 14 Elements of Statistics: Basic Concepts 14. 1 Statistical Inference: Motivation Statistical inference is concerned with making probabilistic statements about ran-dom variables encountered in the analysis of data. The basic concept of probability is widely used in the field of hydr ology. pdf), Text File (. ? Trials refers to an event whose outcome is un-known. Feb 1, 2014 · The biostatistics has gained significant importance in recent years, being one of the mainstays of current scientific research. " Apr 21, 2023 · Our Basic Statistics Crash Course aims to help you grasp essential statistical concepts. There are four main types of datasets: Cross-sectional data: 1 time period. Therefore. Statistics is the science of dealing with numbers. 2 Ethical concerns. 16. Feb 23, 2021 · The first chapter explains the basic notions and highlights some of the objectives of time series analysis. However, δ( , ) distance function must satisfy the following conditions: b 0 if and only if a b. One of the main goals of statistical hypothesis testing is to estimate the P. Statistics is a branch of mathematics used to summarize, analyze, and interpret a group of numbers or observations. Download now. 1 Introduction Any scientific research is a limited cut in the reality, but the endeavor of science is to abstract from concrete facts and generalize the findings in order to know the universal properties and laws that govern the functioning of the real world in its different levels (physical-chemical, biological, economic-social-cultural Basic Probability 1. ” 1. It includes 1- Descriptive statistics which is concerned with the summary measures of data for a sample of a population . You will soon understand that statistics and probability work together. Facts/figures, numerical or otherwise, collected for a definite purpose are called data. By the end of Chapter 3, students should be able to: Understand probability In this chapter, we look at basic properties of probability. There are numerous schools of thought when it comes to defining what ‘probability’ means. Data. It has a. Systematic sampling: The first person is selected randomly, and Note: textbooks and formula sheets interchange “r” and “x” for number of successes Chapter 5 Discrete Probability Distributions: 22 Mean of a discrete probability distribution: Some Basic concepts Statistics is a field of study concerned with 1- collection, organization, summarization and analysis of data. Questions/examples in this book cover a wide range of area. Set books The notes cover only material in the Probability I course. 2(Basic Concepts and Rules) 1. If, however, 0 would run through a discrete subset of real numbers, randomization mightbring the same gains fromthe minimax point of view as in testing a simple hypothesis against asimplealternative An average is a measure of the centre of the data set. Metrics and Estimates. This article provides background information related to fundamental methods and techniques in biostatistics for the use of postgraduate students. 74 kB. Read more Statistics Definition 1 Statistics refers to the methodology [collection techniques] for collection, presentation and analysis of data and the use of such data [Neter J. 1 Statistical Concepts 2 1. 4 days ago · Revision Notes for CBSE Class 11 Maths Chapter 15 (Statistics) - Free PDF Download. Jan 5, 2024 · Basic statistics concepts refer to the fundamental elements of statistics. and hydroclimatology due to Simple random sampling: People (or things) are selected at random, and each one has the same chance of being chosen. ! At a basic level, statistical techniques allow us to 2. 1 of 12. Rice University. De- inadvertent misuse of statistics leads to erroneous conclusions and distortions of truths. x 0 173 170 0. txt) or view presentation slides online. —construct tables and graphs that display measures of central tendency. This is a ppt on Basic terminology of statistics based on my understanding after attending a workshop at NIMHANS. • Probability and Statistics for Engineering and the Sciences by Jay L. We start with familiar terms like population and mean, then define the more complex-sounding (but still basic) ones like kurtosis and dispersion. 3- Vital statistics is the ongoing collection by government agencies of data relating to events such Apr 23, 2022 · Solution. 0/1600 Mastery points. notes, I will often use to denote a population parameter. series of concepts and rules that must be understood to Abstract. 2 Basic Concepts in Statistics May 1, 2018 · and Statistics. Statistics -Meaning: The term ‘Statistics’ is conveyed to two different things, In the plural use, statistics This Statistics preparation material will cover the important concepts of Statistics syllabus. One of the main concerns in the field of statistics is how accurately a statistic estimates a parameter. For the illustrative example, μ0 = 170. P. This probabilistic sampling is objective and eliminates investigator bias. In order to have an accurate sample, it must contain the characteristics of the population in order to be a representative sample. In this website you get all the resources needed to excel in exams specifically under Department of PU Education-Karnataka for 1st PUC Nov 26, 2015 · The analysis uses only very basic (and intuitively understandable) concepts of probability theory, and is meant to be accessible even for undergraduates taking their first algorithms course. 3 Types of datasets. 2 Variables and Type of Data 5 1. Because P (X = a) = 0, we have P (X ≤ k) = P (X < k) for continuous random quantities. •Familiarize yourself with the basics of a statistical package (e. This Class 11 Maths chapter 15 notes contains the following topics: statistics, range, mean, median, mode, mean deviation about mean and median in grouped and ungrouped Nov 5, 1998 · Linear programming is not a programming language like C++, Java, or Visual Basic. zstat . of Biostatistics, NIMHANS From 28 to 30 Sept, 2015 "It is easy to lie with statistics, But it is hard to tell the truth without statistics. The purpose of the present lecture notes is to provide its readers with a solid and thorough, though accessible introduction to the basic concepts of Descriptive and Inferential Statistics. , a scientific, industrial, or societal problem, it is conventional to begin with a statistical population or a statistical model process to be studied. If we found a sample mean of 173, then. Jun 13, 2024 · The Class 10 Maths Statistics notes are available in a PDF format that helps students to revise the notes anytime and at any place as per their comfort. Note that random does not mean haphazard. This relationship is illustrated graphically in Figure 1. Inferential statistics is a significantly more advanced topic because it requires a deep understanding of descriptive statistics. ? Trials are also called experiments or observa-tions (multiple trials). ce dd xp tu fm nv lb tn cj uy