Monday 4pm AM200 Lecture 1 Tuesday 2pm O'Flaherty Lecture Material Web based material Tuesday 4pm AM250 Lecture 2 Wednesday 12pm O' Flaherty Tutorials {to be confirmed Text Books • Custom Course Book – Introduction to Probability and Statistics Compiled by John Hinde & John Newell Pearson Custom Publishing, 2004 Available from the University Bookshop www.nuigalway.ie/maths/jn/ – Lectures notes – Example Sheets – Online Multiple Choice Quizzes – Online Assessment Sheets (3 x 5%) Course Outline 1. Introduction to Statistics 2. Collecting Data 3. Sampling Distributions • Any introduction to Probability & Statistics text in the library, 4. Point and Interval Estimation – Elementary Statistics: A Step by Step Approach: Bluman. – Introduction to the Practice of Statistics: Moore and McCabe 5. Hypothesis Testing 6. Linear Modelling 1.Introduction to Statistics Statistics IS the science of • collecting, What is/are Statistics? • summarising, • analysing and • interpreting sets of data. The applications of statistics are many and varied. Statistics have a bad reputation ! What Is (Are?) Statistics? • Statistics is about the collection, presentation, analysis and interpretation of data • Statistics are …. A parameter is a numerical characteristic of the population. It is a fixed number, but we usually do not know its value. Some definitions Population : the entire group of objects about which information is required. Unit: any individual member of the population Sample: a part or subset of the population used to gain information about the population. Sampling Frame: the list of units from which the sample is chosen. Variable: a characteristic of a unit to be measured in the sample. Data are the values that variables can assume. Example 1 Variable Population: MA238 Unit ? Qualitative Quantitative Sample ? Sampling Frame ? Variable ? Nominal Ordinal Discrete Continuous Course Rating Gender Statistics ARE numbers derived from a SAMPLE of data. Eye color Weight Inference is the process of making decisions about a population based on information contained in a sample from that population. The value of the statistic changes from sample to sample. Population Parameters Inference Sample Sample Statistics