MATH07025 2013 STATISTICS AND COMPUTING

Graphically display and numerically summarise data using methods of descriptive statistics.

Apply probability and probability distributions to data analysis.

Choose and apply appropriate test of hypotheses.

Use regression methods to analyse relationships between variables.

Use Microsoft Excel (or an equivalent statistical program) to perform statistical analysis of data

Assessment of this module will include continuous assessment worth 50% and an end of semester exam worth 50%. The end of semester exam will be employed to assess student's knowledge of statistics. Continuous assessment is designed to give the student an in-depth understanding and knowledge of the capabilities of Microsoft Excel for statistical analysis of data and will include weekly computer based activities/tasks and in-class test assignments.

Descriptive Statistics

Types of data, graphical representation of data. Measurements of central tendency, dispersion and skewness.

Probability

Laws of probability, algebra of events, mutually exclusive events, independent events.

Probability Distributions

Continuous and discrete distributions: binomial, Poisson and normal, use of tables.

Sampling theory

Sampling theory, estimation, point and interval estimates.

Tests of hypothesis

Tests of sample means and sample proportions, z tests and t tests. Chi-squared tests.

Correlation and Regression

Calculation of Correlation coefficient and its significance, Tests for linearity of calibration data; analysis of residuals for linearity testing.

Experimental Design

Random allocation of samples in a study,  bias, response bias and use of controls; sampling; summarising data;  The partial factorial design for testing ruggedness/robustness of an experiment.