| Subject | Cat-nbr | Class | Term | Mode | Description | Units | Campus |
| STA | 2300 | 50272 | 1, 2006 | ONC | Data Analysis | 1.00 | Toowoomba |
|---|
| Academic group: | FOSCI |
| Academic org: | FOS003 |
| Student contribution band: | 2 |
| ASCED code: | 010103 |
Statistics are pervasive in work and life. They are the product of a society interested in understanding itself and the world in which it exists. To this end, data is being generated at an ever-accelerating rate. The collection and conversion of data into useful information is what the discipline of statistics is all about. Whether it is the planning and implementation of a survey to assess the market penetration of a new product, the design of an experiment to test the efficacy of a new drug, or the gathering together and summarizing of data provided by a government organization to support an argument, the discipline of statistics contributes is an essential way. It addresses questions such as how best to collect data, how much data to collect, how best to summarise and analyse data, and how to draw legitimate conclusions from data. Never before has some understanding of the discipline of statistics been so important to an educated person. Regardless of whether you ever need to initiate the collection or analysis of data in your future studies or future work, some understanding of statistical methods is highly desirable, if not essential, in being able to critically appraise the statistical methods employed by others in generated information of importance to you. This course endeavours to provide this understanding by covering basic statistical concepts and giving practice at some of the methods and skills necessary for students in business, commerce, psychology and the physical sciences to collect, appraise, present, analyse and interpret data. Because these concepts and methods are interdisciplinary in nature, students will encounter problems from many sources including their own area of interest. The statistical knowledge developed in this course form the basis for more advanced statistical methods and concepts in specialist fields and in other courses in several programmes at USQ, as well as being of interest in their own right in contributing towards our understanding of the knowledge society in which we live.
Students are introduced to the basic concepts involved in descriptive and inferential statistics. Topics include: methods of producing data and the impact and importance of randomness and randomisation in data generation; methods of summarising and displaying data in single and two-variable situations; modelling of data using the normal and binomial models; and analysis of data with a view to drawing reliable conclusions including specifically the use of hypothesis testing and confidence intervals in dealing with means and proportions, assessing associations and correlations and making predictions using simple regression. Emphasis is placed on understanding the basic concepts and principles of dealing with data. In particular, issues are covered relating to cause and effect; the nature of variability and the reliability of a sample in representing a population; the presentation of summarized data in tabular, graphical or descriptive form; the appropriate choice of parameter or parameters in meeting an objective of a study; the limitations and assumptions underpinning statistical techniques; the impact of sample size on inference; the appropriate use of language in interpreting an analysis; and the use of software in facilitating summary and analysis. The mathematical underpinning of the statistical methodologies used are not covered. Other statistics courses deal with these aspects.
On completion of this course students will be able to:
| Description | Weighting (%) | |
|---|---|---|
| 1. | Quantitative basics (not examinable): Use of the calculator: order of operations, brackets, percentages, powers, rounding, use of the memory key, other useful keys, interpretation and substitution into formulae, statistical functions. Graphing: coordinates, straight lines, gradient, general form, special equations. |
1.00 |
| 2. | Exploring and understanding data: The discipline of statistics: relevance, importance, applications. Variables and values; primary and secondary data; nominal, ordinal, quantitative data, single and multi-variable data. Important sources of secondary data. Introduction to SPSS. Displaying nominal and ordinal data: tables, frequencies, relative frequencies; bar graphs, pie charts. Two categorical variables: contingency tables, interpretation, marginal distributions, conditional distributions, clustered bar graphs, association and independence. Displaying quantitative data: histograms, stem and leaf displays. Describing distributions: shape, centre, spread, outliers. Summary statistics: mean, media, quartiles, interquartile range, five number summary, standard deviation. Standardising and applications. The normal model: 68-95-99.7 rule, standard normal, using normal tables, assessing normality. |
19.00 |
| 3. | Exploring relationships between variables: Two quantitative variables: scatterplots, form, strength, direction; linearity and correlation; simple linear regression, explanatory and response variables, intercept and slope, predictions, residuals; R sq. Problems in regression: extrapolation, outliers, influential observations; lurking variables, causation. One quantitative and one categorical variable: boxplots, comparison of summary statistics. |
12.00 |
| 4. | Gathering data: Sample surveys: census and sampling, populations and samples, a parameters and statistics; simple random sampling, stratified sampling, systematic sampling, non-probability sampling; cautions: under-coverage, response bias, non-response bias. Experiments: comparative experiments; experimental units, factors, levels, treatments; principles of control, random assignment, replication, blocking; blinding, placebos; causation and confounding; concept of significance. |
10.00 |
| 5. | Randomness and probability: Random phenomena, long-run relative frequency, the law of large numbers, personal (subjective) probability, basic probability properties and rules, equally likely outcomes, disjoint events, independent events. Random variables: probability models, probability distributions; expected value and standard deviation of a probability distribution. Binomial model, binomial probabilities from tables, mean and standard deviation, normal approximation model. |
10.00 |
| 6. | Sampling distribution models: Distribution of a sample proportion; distribution of a sample mean; central limit theorem. Standard errors: proportions, means, other statistics; error bars, tabular and graphical representation; principle of diminishing returns. |
8.00 |
| 7. | Generalising to the World at Large: Introduction to inference. Sign test: null and alternative hypotheses, test statistic, logic of hypothesis testing, P-values, one and two-sided alternatives, statistical significance. Large sample confidence intervals: proportion, mean, margin of error. Sample size determination: means, proportions. Large sample hypothesis test for a proportion, conditions. |
12.00 |
| 8. | Learning about the World: Inference for means: the t distribution, tests and confidence intervals (CI), assumptions, robustness. Comparing two means: independent samples, unequal variances t procedure, tests and C.I.s, assumptions, robustness; blocking and paired samples, tests and C.I.s. Distinction between parametric and nonparametric procedures. Connection between C.I.s and hypothesis tests. |
12.00 |
| 9. | Chi square testing: Inference and contingency tables: test of independence: expected and observed counts, chi-square distribution, robustness, residual examination, conditions. |
8.00 |
| 10. | Inferences for regression: Regression model: population and sample, assumptions, residual plot, checking residuals; inference for the slope and mean and individual predictions; standard errors; cautions. |
8.00 |
ALL textbooks and materials are available for purchase from USQ BOOKSHOP (unless otherwise stated). Orders may be placed via secure internet, free fax 1800642453, phone 07 46312742 (within Australia), or mail. Overseas students should fax +61 7 46311743, or phone +61 7 46312742. For costs, further details, and internet ordering, use the 'Textbook Search' facility at http://bookshop.usq.edu.au click 'Semester', then enter your 'Course Code' (no spaces).
SPSS Student Version 12.0 (Version 10.0 or later is acceptable) for Windows, Prentice Hall. (Available separately or bundled with De Veaux, Velleman & Bock)
De Veaux, RD, Velleman, PF & Bock, DE 2006, Intro Stats, 2nd edn, Pearson Addison Wesley.Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.
| ACTIVITY | HOURS |
| Assessment | 20.00 |
| Examinations | 3.00 |
| Lectures | 26.00 |
| Practical Classes or Workshops | 6.00 |
| Private Study | 90.00 |
| Tutorials | 26.00 |
| Description | Marks out of | Wtg(%) | Due date | ||
|---|---|---|---|---|---|
| ASSIGNMENT | 10.00 | 2.00 | 17 Mar 2006 | ||
| CMA ON TOPICS 2 TO 4 | 15.00 | 4.00 | 10 Apr 2006 | ||
| ASS ON TOPICS 2 TO 5 | 100.00 | 15.00 | 08 May 2006 | ||
| CMA ON TOPICS 5 TO 7 | 15.00 | 4.00 | 22 May 2006 | ||
| ASSIGN ON TOP UPTO & INC TOP 8 | 100.00 | 15.00 | 05 Jun 2006 | ||
| EXAM PTA 3HR RESTRICTED | 20.00 | 20.00 | END S1 | ||
| PTB OF ABOVE 3HR REST EXAM | 40.00 | 40.00 | END S1 | (see note 1) | |
| 9. | The due date for an assignment is the date by which a student must despatch the assignment to the USQ. The onus is on the student to provide proof of the despatch date, if requested by the Examiner.Students must retain a copy of each item submitted for assessment. This should be despatched to USQ within 24 hours of receipt of a request to do so.The examiner may grant an extension of the due date of an assignment in extenuating circumstances.The examiner may grant an extension of the due date of an assignment in extenuating circumstances. |