64626 STATISTICAL INFERENCE

Year	No.	Offer	Mode	Description			Cred. Pts
98	64626 	S2  	X 	STATISTICAL INFERENCE     	1.00

Contents

• Staffing
• Pre-requisite(s)
• Rationale
• Synopsis
• Objectives
• Topics
• Texts
• Recommended References
• Student Workload
• Assessment Details
• Other Requirements

STAFFING:

PRE-REQUISITE(S)

64621/75621

RATIONALE:

Methods  of  Statistical  Inference are the  basis  of  much  decision
making.  A  basic  understanding of the  concepts  and  techniques  of
statistical  inference  is  highly desirable  for  a  practitioner  of
statistics.

SYNOPSIS:

This  unit  provides the students with a firm grounding in the  theory
and  methods  of  statistical inference and  builds  on  the  material
covered  in 64621 Distribution Theory. Multiple regression, parametric
and non-parametric applications are covered.

OBJECTIVES:

Upon successful completion of this unit students should be
able to:

1. Determine point and interval estimators for distributional
   parameters and discuss the properties and distributions of
   those estimators;
   
2. Understand the principles of hypothesis testing and power of a
   test;
   
3. Apply the principles of hypothesis testing to a wide range of
   situations including parametric and non-parametric testing;
   
4. Solve for and make inferences about the parameters of a linear
   model.
   

TOPICS:

 Description                                                    Weighting(%)

Sampling Distributions                                                10.00
chi-squared, t- and F- distributions

Estimation                                                            20.00
properties  of estimators, methods of maximum  likelihood
and    moments,   interval   estimation,   sample    size
determination

Hypothesis Testing                                                    20.00
concepts,  Type  I and II errors, normal-based  tests  of
proportions,  means  and  variances,  large   and   small
samples,  one  and  two  samples,  Neyman-Pearson  Lemma,
likelihood ratio tests.

Distribution-Free tests                                               20.00
concepts, Goodness-of-Fit Tests, contingency tables,  one
and   two  sample  tests  of  location,  the  Kolmogorov-
Lilliefors test for comparing distributions.

One-way analysis of variance                                          10.00
Concept, F-test, Kruskali-Wallis test.

Regression                                                            20.00
the  linear  model,  matrix approach  to  ordinary  least
squares, inference in the linear model.

TEXT and MATERIALS to be PURCHASED:

RECOMMENDED REFERENCE MATERIALS:

Berry, D.A. & Lindgren, B.W. 1990, Statistics: Theory and Methods,
Brooks/Cole.

Freund, J. E. & Walpole, R.E. 1987, Mathematical Statistics, 4th
edn, Prentice-Hall.

Larsen, R.J. & Marx, M.L. 1986, An Introduction to Mathematical
Statistics and Its Applications", 2nd edn, Prentice-Hall.

STUDENT WORKLOAD REQUIREMENTS:

	ACTIVITY				HOURS
Private Study                                 	125
Examinations                                  	3
Assessments                                   	40

ASSESSMENT DETAILS:

No  *F/S Marks     Due        Description                              Wtg(%)    LBL WWW
1   S              14/08/98  ASSIGNMENT 1                              6.00      Y   N
2   S              11/09/98  ASSIGNMENT 2                              6.00      Y   N
3   S              09/10/98  ASSIGNMENT 3                              6.00      Y   N
4   S              30/10/98  ASSIGNMENT 4                              6.00      Y   N
5   S              END S2    3 HOUR RESTRICTED EXAMINATION             76.00     N   N

OTHER REQUIREMENTS:

1    To   obtain   a   pass  in  the  unit,  students   must   perform
     satisfactorily in all aspects of assessment.
2    The  due date for assessments is the date by which a student must
     despatch an assignment to the USQ. The onus is on the student  to
     provide proof of the despatch date, if requested by the Examiner.
3    Students  MUST  retain a copy of all assignments  which  must  by
     produced if an when required by the Examiner.
4    In accordance with University Policy and Guidelines,
4.1  an  Examiner  may  grant  an extension of  the  due  date  of  an
     assignment in extenuating circumstances;
4.2  no  assignments  will be accepted for assessment  purposes  after
     assignments  or  model  solutions have been  released  except  in
     extenuating circumstances;
4.3  assignments  submitted after the due date without any extenuating
     circumstances  will  attract a penalty of  at  most  20%  of  the
     assigned mark for each working day late;
4.4  students who submit an assignment after the due date and wish  to
     claim   extenuating   circumstances,  must  provide   documentary
     evidence with the assignment explaining the circumstances;
4.5  the   unit  examiner  shall  consider  a  claim  for  extenuating
     circumstances and decide on the outcome;
4.6  the  decision of the Dean shall be final in any dispute that  may
     arise in the implementation of these guidelines.
5    Restricted   Examination:   a  restricted   examination   is   an
     examination   where  only  those  materials  specified   in   the
     examination paper are permitted during the examination.