| Subject | Cat-nbr | Class | Term | Mode | Description | Units | Campus |
| STA | 2300 | 30325 | 1, 2004 | EXT | Data Analysis | 1.00 | TWMBA |
|---|
| Academic group: | FOSCI |
| Academic org: | FOS003 |
| Student contribution band: | 2 |
| ASCED code: | 010103 |
Practitioners in many disciplines are often required to deal with observations of variable phenomena and imprecise or approximate measurements. Statistics provides tools which help to identify the underlying nature of such phenomena, to evaluate the precision of the measurements, to discover the strength of the relationships between variables and to make predictions about the likelihood of particular events occurring in the future. This unit provides many of the statistical concepts, methods and skills necessary for students in business, engineering and the physical and social sciences to collect, appraise, present, analyse and interpret data. Because these concepts are interdisciplinary in nature, students will encounter problems from many sources including their own area of interest. The statistical skills developed in this unit will form the basis for more advanced statistical methods and concepts in specialist fields.
Students will be introduced to the concepts involved in descriptive and inferential statistics. Topics include methods of producing, exploring, condensing and displaying data, both of single and multiple variables, elementary probability, the normal distribution, single and two-sample inference of means and proportions, comparison of frequencies, correlation and regression. Emphasis will be placed on how statistics is used in practice and on the presentation and interpretation of statistical analyses. A computing package and calculator will be used to facilitate numerical calculation and graphing.
On completion of this course students will be able to:
| Description | Weighting (%) | |
|---|---|---|
| 1. | Examining Distributions Displaying distributions with graphs - categorical and quantitative variables, histograms, relative frequencies, stemplots, bar charts, shape, skewness, outliers. Describing distrubutions with numbers - mean, median, quartiles, boxplots, interquartile range, standard deviation, variance. The normal distribution - density curves, 68-95-99.7 rule, standardised scores, standard normal, using normal tables, assessing normality |
20.00 |
| 2. | Examining Relationships Scatterplots - interpretation, association, linearity, outliers. Correlation - interpretation. Least squares regression - intercept and slope, interpretation, residuals, influential observations, extrapolation, lurking variables, causation. Categorical data - contingency tables, interpretation, marginal distributions, conditional distributions, independence, Simpson's paradox. |
14.00 |
| 3. | Producing Data Designing samples - simple random samples, stratified sampling, multistage sampling, surveys, problems and cautions. Populations, inference, probability. Designing experiments - comparative experiments, completely randomised experiments, main principles of design, statistical significance, cautions. |
8.00 |
| 4. | Sampling Distributions and Probability Sampling distributions - sampling variability, parameters and statistics, simulation, bias, precision, probability, randomness, basic facts, equally likely outcomes, random variables, discrete distributions, mean and standard deviation, continuous distributions, normal distributions. Sample proportions - sampling distribution, normal approximation. The binomial distribution - sample counts, binomial probabilities, mean and standard deviation. Sample means - sampling distribution, central limit theorem, law of large numbers. |
14.00 |
| 5. | Introduction to Inference Estimation - statistical confidence, confidence intervals, margin of error, C.I. for a population mean, sample size, cautions. Hypothesis testing - null and alternative hypotheses, reasoning, procedure, one and two-sided alternatives, p-values and statistical significance, tests for a population mean, tests with fixed significance level, tests from confidence intervals. Using significance tests - choosing a significance level, statistical and practical significance, cautions. Inference as decision - type I and II errors. |
15.00 |
| 6. | Inference for means - the t distribution, tests and C.I.'s, matched pairs procedure, assumptions, robustness. Comparing two means - comparative studies, conservative unequal variances t procedures, assumptions, robustness. |
8.00 |
| 7. | Inference for proportions - assumptions, the z procedure for a single proportion, sample size, sampling distributions, tests and C.I. |
7.00 |
| 8. | Inference for Two-way Tables - Multiple comparison problem, two-way tables, expected counts, the chi-square test and distribution, test of equality of proportions, test of independence, robustness, follow-up analysis. |
7.00 |
| 9. | Inference for Regression Introduction - the regression model Inference about the model - C.I. for the slope, testing for a linear relationship, inference for prediction. Residuals, checking assumptions. |
7.00 |
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).
PaceXL Software Package (Version 1 or 2) Cicada Bay Pty Ltd (Both versions are on the same CD) Or SPSS Version 10 (or later) for Windows, Prentice Hall.
The Textbook (Moore), Study Book (Notz et al) and the PaceXL CD may be purchased as a shrinkwrapped package.
Moore, D.S 2003, The Basic Practice of Statistics, 3rd edn, W.H. Freeman, New York.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 |
| Private Study | 147.00 |
| Description | Marks out of | Wtg(%) | Due date | ||
|---|---|---|---|---|---|
| ASSIGNMENT ON TOPICS 1 & 2 | 100.00 | 10.00 | 05 Apr 2004 | ||
| ASS ON TPCS UPTO & INCL TPC 4 | 100.00 | 10.00 | 10 May 2004 | ||
| ASS ON TPCS UPTO & INCL TPC 7 | 100.00 | 10.00 | 31 May 2004 | ||
| 3 HR RESTRICTED EXAM PART A | 35.00 | 35.00 | END S1 | (see note 1) | |
| PART B OF ABOVE 3HR EXAM | 35.00 | 35.00 | END S1 | ||
| 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. |
| 10. | Supplementary and Deferred Examinations: Students who obtain an overall passing mark, but who do not perform satisfactorily in the examination, may, at the discretion of the examiner, be granted a supplementary examination. Students will be granted a deferred examination only if they perform satisfactorily in the assignments. |
| 11. | Students must retain a copy of any assignment submitted. If requested, students will be required to provide a copy of assignments submitted for assessment purposes. Such copies should be despatched to USQ within 24 hours of receipt of a request being made. |