EXPERIMENTAL DESIGN AND STATISTICAL ANALYSIS

EXPERIMENTAL DESIGN AND STATISTICAL ANALYSIS 12.5 Professor T C Brown

Students may not gain credit for both 619-100 and 617-141 or 617-142.
Special Requirement: Electric calculator of an approved kind (refer to Department of Statistics Office)

The expected VCE background is Mathematics at level 3/4 First or second semester 39 lectures (three a week), 24 hours practical classes (two hours a week) and 12 one-hour tutorials Students completing this subject should:

Comprehend:

the basic concepts of experimental design, statistical inference and the underlying distribution theory;
the concept of statistical variation, particularly leading to the notion of sampling distribution;
the concept of a random variable; and the difference between a discrete random variable and a continuous random variable.
the concepts of confidence interval and hypothesis test, particularly as applied to proportions and means.
Have developed the skills:
to carry out a simple exploratory data analysis; and, in particular, to use simple numerical and graphical methods of summarising data;
to carry out probability calculations involving the binomial and normal distributions;
to carry out basic procedures of statistical analysis;
to recognise and analyse a simple relationship between variables.

Appreciate:

the elements of experimental design, and the importance of correct design for providing data capable of meaningful analysis;
the practical applications of the Central Limit Theorem;
the need to make assumptions and approximations;
the application of computer software in statistical analysis -- in particular, the use of the package MINITAB.

Introduction to the concepts of sources of statistical variation, quality improvement. Scientific method and experimental design, including randomisation, blocking, factorial structure. Data description and analysis. Elementary distribution theory: binomial and normal distributions. Random sampling, simulation of random samples. Population parameters and sample statistics. Estimation, confidence intervals and hypothesis testing based on the binomial and normal distributions. Introduction to distribution-free methods. Contingency tables. Introduction to bivariate data, including correlation and linear regression. Application of computer software to data analysis and simulation. Up to 26 pages of written assignments; project work as required; and up to three hours of written examination. EXPERIMENTAL DESIGN AND STATISTICAL ANALYSIS

Students may not gain credit for more than one of 619-100, 617-160 (1995 Handbook), 617-141, 617-142.
Special Requirement: Electronic calculator of an approved kind (refer to Department of Statistics Office).

12.5 Professor T C Brown. The expected VCE background is Mathematics at level 3/4 First or second semester. 39 lectures (three each week), 24 hours practical classes (two hours each week) and 12 one-hour tutorials Students completing this subject should:

Comprehend:

the basic concepts of experimental design, statistical inference and the underlying distribution theory;
the concept of statistical variation, particularly leading to the notion of sampling distribution;
the concept of a random variable; and the difference between a discrete random variable and a continuous random variable.
the concepts of confidence interval and hypothesis test, particularly as applied to proportions and means.

Have developed the skills:

to carry out a simple exploratory data analysis; and, in particular, to use simple numerical and graphical methods of summarising data;
to carry out probability calculations involving the binomial and normal distributions;
to carry out basic procedures of statistical analysis;
to recognise and analyse a simple relationship between variables.

Appreciate:

the elements of experimental design, and the importance of correct design for providing data capable of meaningful analysis;
the practical applications of the Central Limit Theorem;
the need to make assumptions and approximations;
the application of computer software in statistical analysis -- in particular, the use of the package MINITAB.

the basic concepts of experimental design, statistical inference and the underlying distribution theory;
the concept of statistical variation, particularly leading to the notion of sampling distribution;
the concept of a random variable; and the difference between a discrete random variable and a continuous random variable.
the concepts of confidence interval and hypothesis test, particularly as applied to proportions and means.

By the end of this subject the student should have developed the skills:

to carry out a simple exploratory data analysis; and, in particular, to use simple numerical and graphical methods of summarising data;
to carry out probability calculations involving the binomial and normal distributions;
to carry out basic procedures of statistical analysis;
to recognise and analyse a simple relationship between variables.

Through this subject the student should appreciate:

the elements of experimental design, and the importance of correct design for providing data capable of meaningful analysis;
the practical applications of the Central Limit Theorem;
the need to make assumptions and approximations;
the application of computer software in statistical analysis ó in particular, the use of the package MINITAB.

Introduction to the concepts of sources of statistical variation, quality improvement. Scientific method and experimental design, including randomisation, blocking, factorial structure. Data description and analysis. Elementary distribution theory: binomial and normal distributions. Random sampling, simulation of random samples. Population parameters and sample statistics. Estimation, confidence intervals and hypothesis testing based on the binomial and normal distributions. Introduction to distribution-free methods. Contingency tables. Introduction to bivariate data, including correlation and linear regression. Application of computer software to data analysis and simulation. Students may not gain credit for both 619-100 and any other first year Statistics unit. EXPERIMENTAL DESIGN AND STATISTICAL ANALYSIS