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Main
UQU Programs
Mathematics

Mathematical and computational Statistics

MTH4603
3 hours English

Mathematical and computational Statistics

Mathematical and Compuational Statistics
MTH2602 Probability Theory
3 hours One requisite
1 The Standard Normal Distribution
2 Real Applications of Normal Distributions
3 Sampling Distributions and Estimators / Sampling distribution of the mean, sampling distribution of proportions and of the variance. / Sampling distribution of the difference between the (means, proportions) and ratio of two variance of two independent samples
4 The Central Limit Theorem
5 Estimation of the population parameters-Point estimate: properties of point estimate - Mean squared error - properties of best estimate (Unbiasedness –Consistency – Sufficiency - Efficiency)
6 Interval estimate (mean- probation – variance) and apply theses estimate on statistical packages
7 Hypothesis Testing Using Computer Packages, Basics of Hypothesis Testing, and Testing a Claim About a Proportion
8 Testing a Claim About a Mean
9 Testing a Claim About a Standard Deviation or Variance
10 Chi-Square And Analysis Of Variance Using Computer and statistical Packages for Goodness-of-Fit , Contingency Tables, and One-Way Analysis of Variance
11 Others: Revision and activities, Exam, quizzes
1.1 Mapped to: K1

Define the related basic scientific facts, concepts, principles and techniques in mathematical statistics.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
1.2 Mapped to: K2

Recognize the relevant theories and their applications in basic mathematics.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
1.3 Mapped to: K2

Outline the logical thinking. The importance of counting methods in mathematical statistics.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.1 Mapped to: S1

Demonstrate understanding of the concept of a sampling distribution.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.2 Mapped to: S2

Estimate the population parameter using the most appropriate method.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.3 Mapped to: S3

Construct confidence intervals.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.4 Mapped to: S4

Apply statistical tools for hypothesis testing.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
2.5 Mapped to: S6

Performs one and two sample tests under normality and for large samples.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
3.1 Mapped to: V2

Show the ability to identify and use appropriate statistical models.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
3.2 Mapped to: V1

The student should illustrate the ability to work independently and within groups.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
3.3 Mapped to: V2

Apply statistical knowledge gained during the course using computer packages.

Teaching Strategy Lectures Discovery and oral questions Cooperative Learning
Assessment Methods Assignments Quiz Midterm Final Exam
Assessment
Weight
Homework, Quizzes and Mini projects
20%
Midterm Exam
30%
Final Exam
50%
Total
100%