SENATE 

To

From SENATE COMMITTEE ON UNDERGRADUATE 

STUDIES 

.

NEWCOURSE MATH 304-3 (DISCONTINUANCE 

OF MATH 3054) ? 

. ?

JUNE 16, 1977 

MOTION: ? 

"That Senate approve and recommend approval to the 

Board of Governors, as set forth in S.77-85, the 

new course MATH 304-3 - Statistical Analysis of 

Sample Surveys, and the discontinuance of MATH 

305-4." 

(SCUS approved waiver of the time lag requirement to permit 

offering for Spring 78-1.) 

Evans 

Secretary to SCIJS 

Webster 

Dean of Science 

Date ? 

May

Please find attached a proposal for a new course 

"Statistical Analysis of Sample Surveys" which was approved by the 

Faculty of Science at its meeting of May 

We are requesting 

a waiver of the time lag requirement in order that this course may be 

offered in the Fall semester 

Webs 

er

j mw/pe 1 

End. 

From...... G. 

Bojadziev 

and D. Eaves 

Chairman,Undergraduate .S..ies..................Mathematics. Department 

Committee 

Subject ...... 

.atçnalefor .roposedCour.e 

?

ate...April. l,...l...7 

304-3 

1. Math 

304-3 

is intended to replace 

305-4. 

Besides the reduction 

in credit hours, the proposal represents a reduction in 

prerequisites. 

2.

The demand for a course in sample survey 

theory is chiefly for training 

in methods and applications, by non-mathematics majors. It 

is therefore felt inappropriate to spend as much time on 

mathematical derivations and theory as has sometimes been 

spent in the past. 

3.

It is felt that, even with a slight increase in the coverage 

of methods (survey designs), the removal of this mathematical 

component justifies no more than three credit hours for the 

replacement course, 

304-3. 

4.

The removal of the more mathematical material also makes it 

desirable to reduce the prerequisites to one course in 

statistics or probability, as opposed to two courses. 

G. Bojadziev ? 

D.M. Eaves 

Ii"

•e / 

Appendix B3 

SENATE COMMITTEE ON UNDERGRADUATE STUDIES 

(Changes in credit hours and 

prerequisites, and Course Number) 

COURSE PROPOSAL FORM 

1.

Calendar Information 

Department: Mathematics 

Abbreviation Code:MATH Course Number:304-3 ? 

Credit Hours: 

?

3 ?

Vector: 3-1-0? 

Title of Course: 

Calendar Description of Course: An introduction to the major sample survey designs 

and their statistical analyses. Considerations of cost and the use of prior 

information will be included. 

Nature of Course Lecture/Tutorial 

Prerequisites (or special instructions): 

One course in Statistics or Probability; for example Math 101-3, or Psyc 210-3. 

Students who have received credit for Math 305-4 cannot subsequently receive credit for 

sl-r (courses) , if any, is being dropped from the calendar if this course is 

?

approved: 

Math 305-4 

2.

scheduling 

How frequently 

the course be offered? At least once yearly. 

Semester in which the course will first be offered? 

?

Which of your present faculty would be available to make the proposed offering 

possible: ? 

Drs. Bojadziev, Stephens, Villegas , Eaves. 

Objectives of t he Course 

To provide an introductory treatment of the basic methods and techniques for sample 

survey designs and their statistical analyses. Particular types of sampling 

situations and inferential problems most frequently encountered in business, the 

social sciences, criminology, and natural-resource management (timber, wildlife, 

recreation) will be studied. Consideration of designing sampling procedures that reduce 

4. BudgetaryandSpaceRequirements (for information only) 

?

cost of information will be 

What additional resources will be required in the following areas: 

?

included. 

Faculty 

Staff 

Library ? 

NONE 

Audio Visual 

Space 

Equipment 

5. Approval 

Date: ? 

(

. ?

DepartmentChairma? 

?

____Dean 

?

Chairman, SCUS 

SCUS 73-34b:- (When completing this form, for instructions see Memorandum SCUS 73-34a. 

Attach course outline). 

MATHEMATICS 304-3 

Statistical Analysis of Sample Surveys 

?

1.

STATISTICAL CONCEPTS 

Types of Variables 

Review of Probability, Distributions, Parameters, Estimators, Confidence 

Intervals. Central Limit Theorem. 

2.

BASIC SAMPLING SURVEY CONCEPTS 

Reasons for Sample Surveying 

Sample Survey Terms (population, frame, etc.) 

Types of sampling (Simple, Random, Stratified, Multi-stage etc.) 

3.

SIMPLE RANDOM SAMPLING 

Use of Random Number Tables 

Estimators, Variance of Estimators, Confidence intervals 

Choice of Sample Size 

4.

STRATIFIED RANDOM SAMPLING 

Purpose, Choice of Strata 

Estimators, Variance of Estimators, Confidence intervals 

Methods of Allocating samples among strata 

Choice of Sample Size 

Comparison with Simple Random Sampling (Accuracy, Cost, etc.) 

5.

CLUSTER SAMPLING 

Purpose, Sample Units, Examples 

Estimators, Variance of Estimators, Confidence intervals 

Choice of Sample Size 

Comparison with Simple Random Sampling (Cost, etc.) 

6.

MULTI-STAGE SAMPLING 

Purpose, Choice of Sample Units, Examples 

Two-stage Sampling 

Estimators, etc. 

Choice of Sample Size 

Extension to three or more stages 

Comparison with single stage methods 

MATH 304-3 

?

Page 2 

7.

RATIO AND REGRESSION ESTIMATION 

Review of Covariance, Correlation, Regression 

Purpose and examples 

Ratio Estimates, Variance of Estimates, etc. 

Regression Estimates, Variance of Estimate 

Choice of Sample Size 

Comparison with other methods 

8.

SYSTEMATIC SAMPLING 

Purpose and examples 

Estimators, Accuracy of Estimators 

Choice of Sample Size 

Repeated Systematic Sampling 

9. APPLICATIONS 

Census Surveys 

Market Surveys 

Opinion Polls 

Wildlife Surveys. 

Choosing Sample Sizes for Direct and Inverse Sampling. 