STATMODS[1] - MATH 1730 Introduction to Statistics 1...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH 1730 Introduction to Statistics 1 Department: Statistics Semester: 1 No. of credits: 10 Level: 1 Prerequisites: A-level Mathematics, or equivalent. Programmes of Study: MMath; Mathematical Studies; Joint Honours (Science); Joint Honours (Arts); Mathematics with Finance. Aims: To provide an introduction to statistics. Objectives: On completion of this module, students should be able to: a) demonstrate foundation skills in statistical methods, including; b) descriptive statistics and methods of statistical inference. Methods of teaching: Hours: Lectures: 20 Tutorials: 0 Practicals: 3 Other Hours: 5 Examples Classes (joint with MATH 1750). Monitoring of progress: Marked exercises and assessed practicals. Outline Syllabus: Summarising data, graphs and summary statistics; probability and random variables, discrete and continuous; normal distribution; independent identically distributed random variables; confidence intervals and hypothesis tests for means. Detailed Syllabus: 1. Introduction. Applications. Types of data. Populations and samples. Frequency distributions. Histograms. 2. Measures of location. Measures of spread. Interpreting the standard deviation. Quartiles. Sample moments. 3. Probability and random variables. Probability rules. Independence. Random variables. Mean and variance of a discrete random variable. 4. Discrete distributions. Binomial and Poisson distributions. Poisson approximation to the Binomial. The Geometric distribution. Probability generating functions. 5. Continuous random variables. Cumulative distribution function. Probability density function. Mean and variance of a continuous random variable. Population Moments. 6. Continuous distributions. Exponential distribution. The Normal distribution. Use of tables. Normal approximation to Binomial. 7. Statistical Inference. Iid random variables. Point estimation. Sampling distribution of the sample mean. Central limit theorem. Interval estimation. Confidence intervals for mean (variance known and unknown). 8. Hypothesis testing for means. p-values. Tests concerning means. z-test. t-test. Booklist: 1. F. Daly, D. J. Hand, M. C. Jones, A. D. Lunn, K. J. McConway, Elements of Statistics, Addison-Wesley, 1995*. 2. D. G. Rees, Foundations of Statistics, Chapman and Hall, 1987. Informal Description: The subject of Statistics plays an increasingly important role in all our lives. Questions such as Does this drug work ?, Will this candidate be elected ?, Is product A of better quality than product B ?, Will this flood defence work ?, can all be answered by statistical analysis. This course provides an introduction to the essential elements of Statistics. We shall first consider descriptive statistics for data summary, including graphical and numerical techniques. The key ideas of probability and random variables are then discussed, including the Binomial, Poisson, Exponential and Normal distributions. Finally, in order to answer questions such as those above, we introduce statistical
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern