Syllabus INTRODUCTION
TO STATISTICS II STA 3123
Revised January 4, 2006
Prerequisite:
STA 2122
Terms Offered: Fall,
Spring and Summer
Text: Statistics,
10th Edition, by James T. McClave and Terry Sincich.
1. STATISTICAL INFERENCE:
Single Sample (Sections 7.1- 7.5, 8.1-8.5)
Review hypothesis tests
and confidence intervals for m
and p. Determine the sample size for m
and p. Define and interpert p-values.
2. STATISTICAL SOFTWARE
Introduce MINITAB, SPSS,
SAS or a similar package as a tool for statistical analysis.
Use it throughout this course
for computation.
3. STATISTICAL INFERENCE:
Two Samples (Sections 9.1-9.4 and 9.6)
Introduce large sample inference
procedures for m1
- m2
and p1 - p2;
statistical inference for m1
- m2
and
mD
= m1-
m2,
for both independent samples and paired samples, using the t-distribution;
and the F-test for s21
= s
22.
5. ANALYSIS OF VARIANCE
(Chapter 10)
The topics are completely
randomized design, randomized block design, two-way analysis of variance
model with and without interaction components, and pairwise comparison
of means for each design.
6. SIMPLE LINEAR REGRESSION
AND CORRELATION
(Chapter 11)
The topics include probabilistic
models and the method of least squares. Point estimates of the variance
of the random error component, the slope of the regression line, the correlation
coefficient and the coefficient of determination are given. Statistical
inference procedures are presented for the slope of the regression line,
the correlation coefficient, the mean value of Y at a given level of X
and a new value of Y at a given level of X.
7. ANALYSIS OF COUNT
DATA
(Chapter 13)
The topics are the multinomial
distribution and the Chi-square goodness of fit test for one-dimensional
count data. Contingency tables for two categorical variables are used to
test for the independence of the two variables.
8. NON-PARAMETRIC STATISTICAL
INFERENCE (Chapter 14)
The topics are Wilcoxon
Rank Sum Test, Wilcoxon Signed Rank Test, Kruskal-Wallis H-Test, Friedman's
Fr-Test and Spearman's Rank Correlation Coefficient.