2024

Quality Control and Survival Analysis

Name: Quality Control and Survival Analysis
Code: MAT13491L
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area: Mathematics

Teaching languages: Portuguese
Languages of tutoring support: Portuguese

Sustainable Development Goals

Learning Goals

Outcomes:
• To know the main quality control charts by variables and by attributes;
• To know the capability indices of a process or service;
• To know acceptance sampling control plans;
• To provide the basic principles in estimating censored data;
• To Know Cox model and some other parametric and non-parametric survival models.

Competences:
• Ability to critically design and implement statistical control of a process or service and to assess its capability to meet specifications;
• Ability to model parametric and nonparametric censored data, being able to apply the best approach in each situation and to interpret, in a critical way, the results obtained;
• Ability to understand related literature and to deeply study these topics;
• Develop teamwork skills;

Contents

Fundamental concepts of statistical quality control.
Control charts for variables.
Control charts for attributes.
Process capability analysis.
Acceptance Sampling. Sampling plans for variables and for attributes.
Basic concepts of survival analysis.
Kaplan-Meier survival function estimate. Survival curves comparison.
Cox proportional hazards model.
Extensions of Cox model.
Some competitive risk models.
Some parametric regression models for survival data.

Teaching Methods

The teaching sessions are theoretical-practical, combining the concepts with their application to concrete cases not only in the areas of Economics and Management, but also in other areas, as healthcare, where these statistical tools are much applied. Sessions include the resolution of practical exercises using real data, and students actively participate in their resolution and / or discussion. In addition to the sessions, students are encouraged to solve practical exercises on their own in order to develop autonomy. Most classes are in computer lab with the use of software R, also some with mixed resolution (computer and board and chalk).

Assessment

In continuous assessment, students carry out practical work in a group (50%) and two frequencies (with a weight of 25% for each frequency).
The final grade is the result of the weighted average between the work and the two frequencies.
The final assessment regime consists of a written exam in the regular period and a written exam in the appeal period.
The student is “Approved” when the final classification equals or exceeds 10 values.