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MATH 341 Course Syllabus
- spring 2013
NJIT Academic Integrity CODE: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Math 341-002: Introduction to Statistical Methods
Textbook: Mathematical Statistics with Applications by Wackerly, Mendenhall and Scheaffer - 7th Edition; Copyright © 2008 Thomson Brooks/Cole Publishers; ISBN-13: 978-0-495-11081-1, ISBN-10: 0-495-11081-7.
Prerequisites: Math 244 or Math 333 with a grade of C or better.
Course Description: Covers applications of classical statistical inference. Topics include transformation of variables, moment generating technique for distribution of variables, introduction to sampling distributions, point and interval estimation, maximum likelihood estimators, basic statistical hypotheses and tests, classical tests of parametric hypotheses about means of normal populations, chi-square tests of homogeneity, independence, goodness-of-fit..
Grading Policy: The final grade in this course will be determined as follows:
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▪ Homework/ Quizzes: |
20% |
|
▪ Common Midterm Exam I: |
25% |
|
▪ Common Midterm Exam II: |
25% |
|
▪ Final Exam: |
30% |
Drop Date: Please note that the University Drop Date March 26, 2013 deadline will be strictly enforced.
Homework & Quiz Policy: Weekly quizzes and homework will be given and the homework assignments are due during at the beginning of class..
Attendance: Attendance at all classes will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.
Exams: There will be two midterm exams and one comprehensive final exam during the semester. Exams are held in class on the following days:
|
Exam 1: |
February 20, 2013 |
|
Exam 2: |
March 27, 2013 |
|
Final Exam Week: |
May 9-15, 2013 |
The final exam will test your
knowledge of all the course material taught in the entire course.
Make sure you read and fully understand the department's to
Examination Policy. This policy will be
strictly enforced. Please note that calculators, cellular phones, beepers, and all other electronic devices may
not be used during any exam.
Makeup Exam Policy: No make-up quizzes or EXAMS will be given. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.
Further Assistance: For further questions, students should contact their instructor. All instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
| M |
Dr. Martin Luther King, Jr. Day ~ University Closed |
|
| Su-Su |
Spring Recess ~ No Classes Scheduled ~ University Open |
|
| T |
Last Day to Withdraw from this course |
|
| F |
Good Friday ~ University Closed |
|
| T |
Classes follow a Friday Schedule, Last Day of Classes |
|
| W |
Reading Day |
|
| T-W |
Final Exams |
Course Outline:
|
Course
Outline |
|||
|
Lecture |
Sections |
Topic |
Assignment |
|
1 |
5.2 |
Bivariate and
Multivariate Probability Distributions |
1, 2, 5, 6, 7, 8, 11,
12, 15 |
|
2 |
5.3 |
Marginal and
Conditional Probability Distributions |
19, 20, 24, 25, 26,
29 |
|
3 |
5.5, 5.7 |
Expected Values and Covariance |
74ab, 76a, 77, 79, 91, 93ab, 96a, 99 |
|
4 |
6.2, 6.3 |
Method of Distribution Functions |
1, 3, 6 |
|
5 |
6.4 |
Method of Transformations |
23, 24, 31 |
|
6 |
4.9, 6.5 |
Moments and Moment Generating Functions; Method of
Moments (overview) |
Ch 4:
140, 144, 145 |
|
7 |
6.7 |
Order Statistics |
73, 75, 81 |
|
8 |
7.1 |
Intro to Sampling Distributions |
Included with 7.2 HW |
|
9 |
|
EXAM 1: February 20th
|
|
|
10 |
7.2 |
Sampling Distributions related to the Normal
Distribution |
9, 11, 21, 29, 33, 37, |
|
11 |
7.3 |
Central Limit Theorem |
43, 45, 46, 47, 52, 57, |
|
12 |
8.2, 8.3 |
Bias and Mean Square Error of Point Estimators |
1, 2, 3, 5, 6, 8, 11, 15, 17 |
|
13 |
|
Minimum Variance Unbiased Estimators (MVUE) |
Given in class |
|
14 |
9.7 |
Maximum Likelihood |
80, 83, 89 |
|
15 |
8.6, 8.7 |
Confidence Intervals |
56, 57, 59, 60, 71, 73 |
|
16 |
8.8, 8.9 |
Confidence Intervals |
81, 82, 84 |
|
17 |
|
EXAM 2: March 27th |
|
|
18 |
10.2, 10.3 |
Hypothesis Testing Basics |
17, 18, 19, 34 |
|
19 |
10.4 |
Type II error |
37, 41 |
|
20 |
10.6 |
p-values |
54, 55, 57 |
|
21 |
10.8 |
Small Sample Hypothesis Testing |
24, 27, 28, 30, 39, 63a, 65a, 66a71a, 73, 75 |
|
22 |
10.10 |
Power of Tests; Neyman-Pearson Lemma |
89, 90, 91, 96, 101 |
|
23 |
13.2 |
ANOVA |
1ac |
|
24 |
13.3, 13.4 |
ANOVA Models |
7a, 9a, 11, 15 |
|
25 |
14.1, 14.2 |
Categorical Data; Chi-Squared Test |
None |
|
26 |
14.3 |
Goodness of Fit Test |
1, 3, 5, 11 |
|
27 |
14.4 |
Contingency Tables |
13a, 19, 21 |
|
28 |
|
REVIEW |
|
Prepared By: Prof. Jonathan Porus
Last revised: January 7, 2013