# Semester 1 Statistics Short courses

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1 Semester 1 Statistics Short courses Course: STAA0001 Basic Statistics Blackboard Site: STAA0001 Dates: Sat. March 12 th and Sat. April 30 th (9 am 5 pm) Assumed Knowledge: None Course Description Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. Day 1: Exploratory Data Analysis Sat March 12 th (9 am 5 pm) Levels of measurement of data Graphical Analysis: bar charts, pie charts, boxplots, histogram, stem and leaf, scatterplot, clustered and stacked barcharts Descriptive Statistics: mode, mean, median, standard deviation, range, IQR, Pearson s r Day 2: Introduction to Inference Sat May 1 st (9 am 5 pm) Introduction to the basic concepts of inference: confidence interval, significance, p values, effect size statistics Sampling distribution of the mean z test and confidence interval for the mean when the population standard deviation is known t tests: one sample, paired and independent chi square Statistics Short Courses 1 Semester 1, 2016

2 Course: STAA0002 Simple Linear Regression and ANOVA Blackboard Site: STAA0002 Dates: Sat 19 th March and Sat 16 th April (9 am 5 pm) Pre requisites: Basic Statistics (STAA0001) Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. Day 1: Simple Linear Regression Sat 19 March (9 am 5 pm) Correlation: Pearson, Spearman and Kendall s tau b Power Analysis for Pearson correlation Simple linear regression analysis Assumptions and inference for regression Common pitfalls of regression Data transformations Day 2: ANOVA Sat 16 April (9 am 5 pm) One way analysis of variance (ANOVA) Repeated measures analysis of variance Factorial analysis of variance Reporting of ANOVA results Power analysis and effect size statistics such as eta squared and omega squared Statistics Short Courses 2 Semester 1, 2016

3 Course: STAA0003A Intro to SPSS Blackboard Site: STAA0003 Dates: Sun 6/3 (9 am 5 pm) Assumed Knowledge: None On completion of this course, students should be able to use the menus in the data analysis package IBM SPSS Statistics to take data such as that obtained from questionnaires and administrative records or from existing electronic formats and establish appropriate computer files from which basic statistical summaries, graphs and reports can be produced. It will also show the importance of integrating the development of your data collection instrument, such as a questionnaire, with your computer program. Topics covered will include Introduction to IBM SPSS Statistics IBM SPSS Statistics data definition Establishing an SPSS data file from a questionnaire. Basic data analysis in SPSS Computing new variables in SPSS Recoding, selecting data in SPSS Graphing in SPSS Statistics Short Courses 3 Semester 1, 2016

4 Course: STAA0003B Further SPSS Blackboard Site: STAA0003 Dates: Sun 10/4 (9 am 5 pm) Assumed Knowledge: Intro to SPSS On completion of this course, students will become more efficient in their use of SPSS and expand their knowledge of SPSS data handling procedures. Topics covered will be chosen from: An introduction to SPSS syntax Computing, recoding and selecting data in SPSS using syntax. Dates in SPSS Merging files Managing complex data files SPSS Tables Statistics Short Courses 4 Semester 1, 2016

5 Course: STAA0004 Survey Design Blackboard Site : STAA0004 Dates: Sun 20 March (9 am 5 pm) Assumed Knowledge: Basic Statistics Day 1 Software used: None You will acquire skills and knowledge in the collection of survey, observational, experimental and secondary data; developing a questionnaire, and writing of descriptive reports. Topics will include: Introduction to survey research The basics of survey sampling How to collect survey data Making the most of secondary data Developing a questionnaire Introduction to scale development Coding and cleaning survey data Statistics Short Courses 5 Semester 1, 2016

6 Course: STAA0005A Multiple Linear Regression (9 hrs) Blackboard Site: STAA0005 Dates: Mondays 29/2, 7/3, 14/3 (5.30 pm 8.30 pm) Room EN409 Assumed Knowledge: ANOVA and Simple Linear Regression In Multiple Regression you will look at simple linear regression and multiple regression using three different strategies (standard regression, stepwise regression and hierarchical regression). Particular attention is paid to report writing, assumption checking, outlier checking and tests for mediation. Make sure that you have access to SPSS and please revise the relevant material for the simple linear regression and ANOVA short course beforehand. Statistics Short Courses 6 Semester 1, 2016

7 Course: STAA0005B Factor Analysis (9 hrs) Blackboard Site: STAA0005 Dates: Mondays 21/3, 4/4, 11/4 (5.30 pm 8.30 pm) Room EN409 Assumed Knowledge: ANOVA and Simple Linear Regression Factor Analysis covers exploratory factor analysis (EFA). The various methods for extracting and rotating factors are discussed as are the interpretation of factors and the creation of factor scores and summated. scales. EFA is a descriptive technique. That is, it is designed to help us understand and explain patterns in the data, without making any formal predictions about what results will look like. However, it is not our data s job to tell us what its underlying structure is and a sound factor analytic study will begin with a great deal of prior thinking about the nature of the concept that we want to understand, appropriate indicators of that concept, appropriate population, and how results of factor analysis will be used. So even before we begin data collection, let alone data analysis, we will have an expectation about what the results might look like. The job of the data is then to show us how well our expectations are reflected in the real world. The results of exploratory factory analysis can then be used inform future hypotheses. These hypotheses are subsequently tested using confirmatory factor analysis (CFA), which is conducted within the structural equation modelling framework (not covered in this subject). Make sure that you have access to SPSS and please revise the relevant material for the ANOVA and Simple Linear Regression short course beforehand. Statistics Short Courses 7 Semester 1, 2016

8 Course:STAA0005C MANOVA (9 hrs) Blackboard Site: STAA0005 Dates: Mondays 18/4, 2/5 (5.30 pm 8.30 pm) Room EN409 Assumed Knowledge: ANOVA and Simple Linear Regression MANOVA examines between subjects, within subjects and mixed multivariate analysis of variance. Particular attention is paid to assumption checking, the testing of specific contrasts and report writing. Make sure that you have access to SPSS and please revise the relevant material for the ANOVA and Simple Linear Regression short course beforehand. Statistics Short Courses 8 Semester 1, 2016

9 Course: STAA0005D Binary Logistic Regression Blackboard Site: STAA0005 Dates: Monday 9/5 (5.30 pm 8.30 pm) Room EN409 Assumed Knowledge: Multiple Linear Regression Logistic Regression is a specialized form of regression that is designed to predict and explain a binary (two group) categorical variable rather than a metric dependent measure. Its variate is similar to regular regression and made up of metric independent variables. It is less affected than discriminant analysis when the basic assumptions, particularly normality of the independent variables, are not met. The purpose of this course is to provide a guide how to analyse data, interpreting SPSS output for logistic regression analysis, with emphasis on the results that are of essence to report writing. Sample report for logistic regression analysis will be provided. Make sure that you have access to SPSS and please revise the relevant material for the ANOVA and Simple Linear Regression short course beforehand. Statistics Short Courses 9 Semester 1, 2016

10 Course: STAA0005E Discriminant Analysis (3 hrs) Blackboard Site: STAA0005 Dates: Monday 16/5 (5.30 pm 8.30 pm) Room EN409 Assumed Knowledge: ANOVA and Simple Linear Regression Discriminant function analysis (DFA) belongs to a family of classification techniques, which are used to predict group membership on a categorical dependent variable (DV, also referred to as grouping variable) from a combination of continuous independent variables (IV, also referred to as predictors). Classification techniques can be divided into those that use linear combinations of predictors to distinguish between groups and those that use non linear transformations of the combined predictors to distinguish between DV groupings. DFA is an example of linear classification, where group membership on a categorical DV is predicted from a linear combination of continuous predictors. Logistic regression and probit regression are examples of non linear classification. In this course we will take a closer look at non linear classification in the context of logistic regression. Related to classification analysis is clustering, which is used to identify which conceptually meaningful groups (if any) exist in the data. Make sure that you have access to SPSS and please revise the relevant material for the ANOVA and Simple Linear Regression short course beforehand. Statistics Short Courses 10 Semester 1, 2016

11 Course: STAA0010A Multiple Regression Extensions and the General Linear Model Blackboard Site: STAA0010 Dates: Wed 2/3, 9/3, 16/3 (5:30pm 8:30pm Assumed Knowledge: Multiple Linear Regression Course Description Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. A review of multiple linear regression with special attention to assumptions, unusual point identification and multicollinearity. Different regression techniques are introduced and tests for mediation and moderation are illustrated. A variety of methods for improving the fit of regression models are provided. Methods for weighted regression, nonlinear regression methods and the General Linear Model are then introduced, always assuming that residuals are independent and normally distributed. Statistics Short Courses 11 Semester 1, 2016

12 Course: STAA0010B Generalised Linear Models and Loglinear Analysis Blackboard Site: STAA0010 Dates: Wed 23/3, 30/3 (5:30pm 8:30pm) Assumed Knowledge: Multiple Linear Regression Course Description Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. When normal assumptions are no longer valid the Generalised Linear Model is used. These models are introduced and then we look particularly at categorical variables. Starting with Crosstab analyses we learn how to define residuals that help us to interpret relationships between categorical variables. Special measures of association are developed for particular types of categorical variables. Finally multi order crosstab tables are introduced together with the loglinear analyses required to to test for multi way interaction effects. Statistics Short Courses 12 Semester 1, 2016

13 Course: STAA0010C Advanced Logistic Regression Blackboard Site: STAA0010 Dates: Wed 6/4, 13/4 (5:30pm 8:30pm) Assumed Knowledge: Multiple Linear Regression Course Description Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. Binary logistic regression is a special generalised linear model for binary response variables which uses a logistic link function. We learn how to interpret odds and odds ratios and then show how binary logistic regression is used in practice to fit models with more than one predictor variable. Univariate binary logistic regression models are first fitted using each predictor in turn with a multiple binary logistic regression model to follow. This allows us to test for mediation. Finally, ROC curves and the Hosmer Lemeshow test are used to assess goodness of fit. Ordinal logistic with an ordinal response variable are then introduced and tested for parallel lines. Nominal logistic regression does not assume parallel lines and can be used with categorical response variables which are not ordinal but have more than two categories, requiring the choice of a reference category. Statistics Short Courses 13 Semester 1, 2016

14 Course: STAA0010D Multi Level Linear Models Blackboard Site: STAA0010 Dates: Wed 27/4, 4/5 (5:30pm 8:30pm) Assumed Knowledge: Multiple Linear Regression and HLM7 Course Description Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. When observations are clustered or auto correlated conventional methods cannot be used. Such data is very common in practise and one of the advantages of these models is the way in which missing values can be handled. Mixed Linear Models are initially introduced to solve this problem. For more sophisticated problems HLM7 is a free student software package can be used. This software allows the fitting of longitudinal models and can handle response variables with a variety of distributions. Models are fitted separately for each subject and then combined to produce a population averaged model. Statistics Short Courses 14 Semester 1, 2016

15 Course: STAA0010E Survival Analysis Blackboard Site: STAA0010 Dates: Wed 11/5 (5:30pm 8:30pm) Assumed Knowledge: Multiple Linear Regression Course Description Statistical techniques as listed below will be covered with an emphasis on the interpretation and reporting of these results. Survival analysis considers the time until an event occurs and the chance of this even occurring at any time. If for any individual the event has not yet occurred the time must be censored, acknowledging that the actual time is longer the current time. Survival distributions for different treatments can be compared using a Kaplan Meier Survival Probability Curve and log rank tests. Under certain conditions Cox Proportional Hazard models can be used to describe the risk of the event of interest occurring at any time. When these conditions are violated alternative models must be considered. Statistics Short Courses 15 Semester 1, 2016

16 Course: STAA0012 Introduction to R Blackboard Site: STAA0012 Dates: Thursdays 3/3 7/4 (18 hours) Assumed Knowledge: Multiple Linear Regression Software used: R In this course you will learn how to install and configure R software. The course presents how to program in R, read data into R, access R packages, and organise and comment R code. In this course you will learn how to use R for effective analysis of the basic data types. Some of the most commonly used probability distributions will be introduced. Statistical data analysis will be conducted using working examples. After successfully completing this unit, students will be able to: 1. Arrange and consolidate large datasets in an R software environment. 2. Develop the ability to perform advanced programing in an R software environment. 3. Relate the basics of fundamental probability distributions to different types of data. Formulate practical and user friendly solutions to real life problems in the form of a statistical model in an R software environment. Statistics Short Courses 16 Semester 1, 2016

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