STAT465 MULTIVARIATE ANALYSIS I

Course Code:2460465
METU Credit (Theoretical-Laboratory hours/week):4 (3.00 - 2.00)
ECTS Credit:9.0
Department:Statistics
Language of Instruction:English
Level of Study:Undergraduate
Course Coordinator:Prof.Dr. BARIŞ SÜRÜCÜ
Offered Semester:Fall Semesters.

Course Objectives

The course aims to cover the fundamental statistical methods, the analyses the high-dimensional data via certain parametric approaches and to combine the knowledge of linear algebra with statistics.


Course Content

Vectoral representation of multivariate data. Sample mean vector and sample covariance matrix. Multivariate distributions, multivariate normal distribution, some other multivariate distributions. Parametric estimation. Hypothesis testing. Reduction of dimensionality.
Prerequisites: MATH 260, STAT 156


Course Learning Outcomes

The students can perform the fundamental statistical analyses such as ANOVA and studen-t test in high-dimensonal datasets. They also combine their statistical knowledge in univariate dimension with more complex and high dimensional analyses. Furhermore, they can see the major statistical theorems and estimation methods in multivariate application.


Program Outcomes Matrix

Level of Contribution
#Program Outcomes0123
1Applying the knowledge of statistics, mathematics and computer to statistical problems and developing analytical solutions.
2Defining, modeling and solving real life problems that involve uncertainty, and interpreting results.
3To decide on the data collection technique, and apply it through experiment, observation, questionnaire or simulation.
4Analysing small and big volumes of data and interpreting results.
5Utilizing up-to-date techniques, computer hardware and software required for statistical applications; developing software programs and numerical solutions for specific problems when necessary.
6Taking part in intradisciplinary and interdisciplinary teamwork, using time efficiently, taking leadership responsibilities and being entrepreneurial.
7Taking responsibility in individual work and offering authentic solutions.
8Following contemporary developments and publications in statistical science, conducting research, being open to novelty and thinking critically.
9Efficiently communicating in Turkish and English to define and analyze statistical problems and to interpret the results.
10Having a professional and ethical sense of responsibility.
11Developing computational solutions to statistical problems that cannot be solved analytically.
12Having theoretical background and developing new theories in statistics, building relations between theoretical and practical knowledge.
13Serving the society with the expertise in the field.

0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution