STATISTICS II

MA 141

Catalogue Description

Statistics II continues the study of statistics and inference. Topics covered in this course include sampling theory, estimation, tests of hypotheses, regression, least squares, chi-square, and analysis of variance. This course may be used as an elective for any minor or major in math and may be useful to all other students in the natural and social sciences, business administration and criminal justice. Computer software such as Minitab or Systat is utilized where appropriate.

Pre-Requisite: Statistics I (Ma 140) or its equivalent.

Goals

A. To continue the introduction to Statistics given in the first course by giving the student the theory and applications of inferential statistics.

B. To inform the student of the basic concepts of hypothesis testing, estimation, sampling theory, regression theory, chi-square analysis, and analysis of variance.

C. To show some of the wide range of applications of inferential statistics to the student of the social sciences as well as the student of business administration.

Procedures

A. Lecture/Discussion

B. Use of available software on personal computers

Course Content

A. Review

1. Normal and Standard Normal Curve

2. Central Limit Theorem

3. Applications of above

a) Estimation of population mean

b) Estimation of population proportion

c) Decision making re: population mean

d) Decision making re: population proportions

B. Student's t and Chi-Square

1. t distribution and degrees of freedom

2. t-test for mean

3. Confidence intervals in small distributions

4. Chi-square and degrees of freedom

5. Inference re: a population variance

C. On two population parameters

1. The F distribution

a) Properties

b) On two population variances

c) Confidence intervals

d) On two population means

1) Dependent samples

2) Independent samples

e) On two population proportions

D. Regression and Correlation

1. Least squares regression line

2. Linear correlation coefficient

3. Coefficient of determination

4. Inferences re: correlation and regression

E. Analysis of Variance (ANOVA)

1. Two equal sized samples

2. Between samples estimates

3. Unequally sized samples

4. Tables and Uses

Evaluation methods at the discretion of the Instructor

Bibliography

Required Text: Johnson, Robert, Just the Essentials of Elementary Statistics, Duxbury Press, 1995.

Adler, I., Probability and Statistics for Everyman, New York, N.Y.: New American Library, 1966.

Anderson, Sweeney, Williams, Introduction to Statistics: Concepts and Applications, 3rd Edition, West Publishing Co., 1994.

Chase, W. & Brown F., General Statistics, New York, N.Y., John Wiley & Sons, 1986.

Freund, J., Modern Elementary Statistics, 7th Ed., Englewood Cliffs, N.J., Prentice Hall, 1988.

Groeneveld. R.A., Introductory Statistical Methods, Boston, Ma., PWS-Kent, 1988.

Haack, D., Statistical Literacy: A guide to Interpretation, North Scituate, Ma: Duxbury, 1979.

Huff, D., How to Lie with Statistics, New York, N.Y., W.W.. Norton, 1954.

Kohler, H., Essentials of Statistics, Glenview, Ill., Scott, Foresman and Co., 1989.

Kvanli, A.H., Statistics, A Computer Integrated Approach, St. Paul, Mn, West Publishing Co., 1989.

Weiss, N.A., Elementary Statistics, Reading, Ma., Addison-Wesley, 1989.

Wheeler, M., Lies, Damn Lies and Statistics, New York, Dell, 1976.

Software

Anderson, Richard, Student Edition of Mathcad , Addison Wesley Pub., Reading, Mass., 1988.

Schaefer, Robert & Anderson, Richard, Student Edition of Minitab, Addison-Wesley, Reading, Ma., 1989.